diff --git "a/data/dm_maths/full_data/10558_11255.jsonl" "b/data/dm_maths/full_data/10558_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10558_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(r) = 14*r**3 - 7*r**2 + 4. Let k(a) = -3*a**3 + 1. Let f = -441 - -440. Let i(j) = f*t(j) - 5*k(j). Give i(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4021122\/80 - (-16 - -18). Let h = 50265 - d. Find the common denominator of 111\/20 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-7) + (-4)\/14. Suppose -11 = 5*i - m, 5*i = a - 20. Suppose 2*b + 0*b - 140 = 0. Calculate the highest common divisor of b and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -377532*r + 1510121. Give w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 + 7*g**5 - 5*g**5 + (-g**5 - 3*g**5 + 2*g**5)*(-2 + 3 + 0).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -2*z. Solve 0 = 4*c + z + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -642 + 647. Let z(r) = 3*r**2 - 12*r + 8. Let g be z(l). Solve -g*n = -8*n + 60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(1\/21)\/(r**(-4)\/r)**25 assuming r is positive.\nAnswer: r**(2623\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 + 5*c**4 - 2 + 4*c**4 - 2*c**4 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1701 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -1\/2 (c) 1425 (d) -0.2 (e) -8\/5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 589, 1838, 3921, 6838, 10589?\n\"Answer: 417*r**2 - 2*r + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 944302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -695.\nAnswer: -208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9977024281.8 + -1\nAnswer: -9977024282.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(5\/11)*s)\/s*s*s**(1\/2))\/(s**12\/s**(-17)))**(4\/11) assuming s is positive.\nAnswer: s**(-1142\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 34*i + 33 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8 + -1 - (-1422)\/(-108))\/(405\/6) and -94\/405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:18 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -1058, -1571, -2064, -2531, -2966, -3363?\nAnswer: -3716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248 or -233?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - 100201000?\nAnswer: -100200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:35 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3323 in increasing order.\nAnswer: -2, 5, 3323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264399 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -192, -327, -492, -687?\n\"Answer: -15*n**2 - 60*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 5 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 15, s: 3, z: 2}. Give prob of sequence nsn.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 + 3*z + 3. Let t(a) = a**3 - 4*a - 4. What is the remainder when t(3) is divided by h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let w(p) = 1570582*p. What is w(k(m))?\nAnswer: -1570582*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 7*q + 5. Let a be x(2). Suppose -3*p = 3, 5*c = 4*p - 3*p + 56. Do c and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 644 and 4328876.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-30))\/(5 + 0 + 4551\/(-925))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -445*p. Let v(c) = 9*c**2 - 3. Give v(d(i)).\nAnswer: 1782225*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*z**4 + 52*z**4 + 19*z**4 + (-6*z**3 + z**3 + 3*z**3)*(z + 2*z - z) - 1 + 3*z**4 + 14*z**4 - 10*z**4.\nAnswer: -56*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29087 times -2.7?\nAnswer: -0.785349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/7 of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:05 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-28)*1197\/90 and 49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33211033 - -5?\nAnswer: 33211042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-8 + 5 - -19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80671.06mg to grams.\nAnswer: 80.67106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -44. Let i be (4\/12)\/o*-3. Is 147 - (0\/(-4) + i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2629 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 67. Does 18 divide (-19)\/(-2)*(6 - i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 3398?\nAnswer: 61\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 682371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 25, 20 = -5*r - 2*k. Suppose 2*x + t = -48, 3 + 13 = -4*t. Is (13 + r)\/((-2)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -59.9, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2457, -3088, -3731, -4392, -5077, -5792, -6543?\n\"Answer: -z**3 - 624*z - 1832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -8 - (0 - 102). Suppose 0 = 30*y - 28*y - l. Let k = 60 - y. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -1\/8, -0.2, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Give j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 divided by -1845?\nAnswer: -338\/1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 358156, -7\/4, 3, -29\/3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/n**(1\/3))\/n*n*n**(-1\/3))\/((n**(-1\/6)\/n)\/((n*n**(2\/3))\/n)))**(-37))**39 assuming n is positive.\nAnswer: n**(-9139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6782 and 2.8328?\nAnswer: 19212.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1766*j**2 + 5080*j**2 + 11492*j**2.\nAnswer: 14806*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:17 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 673110 and 1481950?\nAnswer: 360113850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1899\/1352 - 5\/169. What is the common denominator of 5210\/1120 + 4\/14 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3929*v + 1962*v - 573 + 1966*v.\nAnswer: -v - 573","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*n**3 - 9*n + 374*n**3 + 378*n**3 + 9*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3867 - -3887. Let i = 27 - 50. Let h = i + 121. Calculate the remainder when h is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*b + 3162 + 5719 = -2297 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18239 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {s: 1, m: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 - 14*a**2 + 688*a + 12. Determine n(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 106, 176, 262, 370, 506, 676?\n\"Answer: f**3 - f**2 + 56*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 23*x**2 - 13. Let k be a(23). Which is greater: -55\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24101358 and 738.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 80\/90*3\/4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 74 = 64. Let g(z) = z**2 - 2*z - 6. What is g(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 21521784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*r**3 - 2671*r**3 + 0*r + 4*r + 1338*r**3 - 4*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-57))\/((-4)\/(-48) - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.12 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -43. Let m(s) = s**3 + 5*s**2 - 2*s - 7. Let p be m(t). Solve 5 = -o, p*j + j + o = 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 - -6. Let v(z) = z - 13. Let l be v(8). What is the closest to l in i, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynn when four letters picked without replacement from yyynyyynnyyyyy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + x + 4 = 2, x - 10 = -3*r. Factor 18*d**2 + 64*d + 512 - 9*d**r - 3*d**2 - 4*d**2.\nAnswer: 2*(d + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(180\/(-6))*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2302 by 92.\nAnswer: 1151\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1 - 2) - 2. Let i = 411.96 - 412. Which is the closest to -1? (a) -1\/3 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {p: 7, w: 5, h: 3, g: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13935528, 13935515, 13935492, 13935459, 13935416?\nAnswer: 13935363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 9) to base 4.\nAnswer: -3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b**(2\/9))\/b*b**(-1\/7) assuming b is positive.\nAnswer: b**(68\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + s - 3*x - 15 = 0, s - 15 = 3*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (14 + (-5 - 2) - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066235 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d = -150*d + 60 + 60 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -3.65. Let b = y - -3. What is the biggest value in 4, 9, b?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*16\/6)\/(5\/15). Suppose -3*d - f = 2*k, -13 = 5*d + 4*k + 3. Suppose -2*m + a = m - 287, -3*a + 3 = d. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 178. Which is the third biggest value? (a) t (b) -5\/6 (c) 20 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 119312460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j - 0. Suppose 41 = 3*z + m, m = 3*z + j*m - 46. Let f = -45 + 63. Calculate the lowest common multiple of z and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (-6 - -30 - 28)) + -16\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4079144.17 less than 0.24?\nAnswer: -4079143.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6171.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2808 + -2807. Let j(r) = -r + 7. Let u be j(7). Put b, -5, u in descending order.\nAnswer: b, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**8\/10080 - 2*k**5\/15 - 7*k**2. Let x(t) be the third derivative of n(t). Let j(q) = -6*q. Give j(x(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1837 - 2077 = 48*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/60 + g**4\/8 - g**3\/6 - 4*g**2. Give c(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 352 - 514. Let l = i - -167. Solve 17 = -s - 4*w, 4*s = l*w + 22 + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1054 + -695. Suppose 13 = -3*l + 5*f, -3*l - 1 + 3 = -2*f. Suppose -a = -4*y - 3*v, 3*y - l*v = 8*y - 449. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 13. Let q be i(-11). Suppose -a - 2*l = -3*a - 14, -a - 3 = l. Let v be ((-2)\/3)\/(23\/((-3450)\/20)). Put q, a, v, 3 in ascending order.\nAnswer: a, q, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 136 + 1569. Let b = x - -198. Which is smaller: -141 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 192*v**2 - 2972*v + 14784 = 0. What is v?\nAnswer: 11, 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(-3 + sqrt(32) + sqrt(32)*1 + -4))**2.\nAnswer: -4032*sqrt(2) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-25 + -10 + 66)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3203032220023 - 11?\nAnswer: -3203032220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 + -148. Let l be 88\/10 + (-2)\/(-10). Solve -f + p*f = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24024*z**4 - 1792*z.\nAnswer: 288288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 - 27245*n\/2 + 22700.\nAnswer: (n - 9080)*(3*n - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(0 - 2 + 0)*(49 + 45*i - 37*i - 43).\nAnswer: -16*i - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 259307 and 4.\nAnswer: 1037228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + 2 + (-1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 1792*g**2 - 2*g + 4. Let l(n) = -7*n**3 - 10752*n**2 - 13*n + 26. Give 26*b(y) - 4*l(y).\nAnswer: 2*y**3 - 3584*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 5*k - 17446672 = 0, 709626 + 3316507 = 3*r - 2*k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than 36045?\nAnswer: 36044.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2 + 5\/12*m**3 - 1\/2*m**2 - 1\/24*m**6 + 5\/16*m**4 - m - 1\/20*m**5. What is a in v(a) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27668 or 415004\/15?\nAnswer: 27668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5*u**2 + 766*o**3*u**2 + 5*o*u**2 - 69*o*u wrt o.\nAnswer: 20*o**3*u**2 + 4596*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-2)\/4*-4). Let w be (0\/(1 - 0))\/(2\/2). Let a = w + 5. Solve d*s - a = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/8 - 16*n**2 - 2*n. Suppose -4*c + 2*c = -6. Let v(y) = 0*y**2 + c*y**2 + 9*y**2. Determine v(z(h)).\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -75*l - 7\/20*l**5 + 0*l**2 + 110\/3*l**3 + 7\/30*l**6 + 0 + 0*l**4. What is the second derivative of k(i) wrt i?\nAnswer: 84*i**2 - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672670000 rounded to the nearest 1000000?\nAnswer: -2673000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863978 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 12711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.87 - 0.869951. Round y to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -104.05. Let p = -0.3 + 0.25. Let m = p - t. What is the second biggest value in m, 4\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/120 + (-42)\/(-315))*(4212\/(-65))\/(-9).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -111494359 (b) 0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -4*v - 3552, -2665 = -3*p + 2*v. Let z = p - 576. List the prime factors of z.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1173, 38\/9, -3, -4\/3 in increasing order.\nAnswer: -1173, -3, -4\/3, 2, 38\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 2 - 5*u**2 + u**2 to the form s*u + r + z*u**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409851 is divided by 40918?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111.8 or 2\/7?\nAnswer: -111.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39941 - -39979. Calculate the remainder when 14097 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -888091 * -4.\nAnswer: 3552364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 3*a - 3 to b + g*a and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 366614*f + 10998384\/5.\nAnswer: (f + 6)*(f + 1833064)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.49108 + -0.06508. What is g rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/11))**(-25))**(-48) assuming l is positive.\nAnswer: l**(-1200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2, -757, -5, -4, -6, 0.\nAnswer: -757, -6, -5, -4, 0, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9364818mg?\nAnswer: 0.0000009364818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*v + 129*v + 2*v**2 - 4 - 69*v in the form u + i*v**2 + h*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 4, 14?\n\"Answer: 10*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5414 + -3465. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5748*r - 2206 = 5864*r + 1738 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.5, -3, -0.2, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234589, 469179, 703767, 938353, 1172937?\nAnswer: 1407519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 5*a + 3*a. Suppose 2*n - 722 = -2*b, -6*n + 7*n - 2 = 0. Let c(y) = y + b - 6*y - 359. Determine q(c(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-20) - 3\/(-5). Let d be (-1 - -4) + (b - 12). Let t = d + 9. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001413 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*j = -782*j + 186*j - 105*j + 113490 for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19038, -38089, -57154, -76239, -95350, -114493, -133674, -152899?\nAnswer: -172174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4*k + 2*k + 3)*(-8 + 3 + 2)*(k**2 + 2*k**2 - k**2) as u*k + n + z*k**3 + c*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20120210002 - 12?\nAnswer: 20120202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 17*t**2 + t - 25. Let l be v(17). Let o(f) = 2 - 2*f - 6 - 6. Give o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 12142697.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -71409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(108) + (-2*sqrt(108)*2)**2 + (-4 + sqrt(108) + -5 - sqrt(108))).\nAnswer: 36*sqrt(3) + 10314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6119902?\nAnswer: 2, 3059951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**4)\/b)\/b**1)**(-48) assuming b is positive.\nAnswer: b**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 75*z + 107. Let k(v) = 35*v + 53. Calculate 13*k(a) - 6*m(a).\nAnswer: 5*a + 47","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p = -134*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 7596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7222*h**2 - 4*h**3 - 4*h + 14451*h**2 - 7224*h**2 as x*h**2 + d + q*h + c*h**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + f**3 - 4*f**2 + 4 - 3*f**3. Let b be l(4). Suppose 3*r - 6 = 3*a, 3*r - 6 = 2*a - b*a. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211\/3 - -71. Suppose 5*r + 21 - 1 = 0. What is the nearest to 0.1 in r, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/48522 and -101\/246.\nAnswer: 1989402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30351, -30341, -30327, -30309, -30287, -30261, -30231?\n\"Answer: 2*h**2 + 4*h - 30357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-60)*5)\/((-30)\/(-45))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261112 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 28*k**2\/3 - 80*k\/3 + 16 = 0.\nAnswer: 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 53. List the prime factors of -1 + 105 + (u + 3 - 2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 76?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1256, -4, 296, 18?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-11.67\nAnswer: 3.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8*3\/96)\/(4 - 5). Put p, -4\/3, -3 in descending order.\nAnswer: p, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571759 is divided by 471?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 3*u**6\/80 + u**5\/60 + 7*u**4\/12 - 9*u**2. Let k(b) be the second derivative of h(b). Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppbppupuzppzpz. What is prob of sequence zzz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:55 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from fzlmzzzmlmlllmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.00000217 - 56. Round z to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m - 5. Let v(o) = 3*o - 2. Let j(k) = 3*k + 13. Let b be j(-3). Calculate b*l(q) - 9*v(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d + 6. Let o be -2*5*(-15)\/6. Let r = o + -15. What is the remainder when r is divided by s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*r - 82*r + 41*r.\nAnswer: -127*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 15) to base 10\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let h(c) = 6*c**3 + 3*c**2 + 3 - c**3 + 0*c**3 + 4*c**l. Let k(y) = -3*y**3 - 4*y**2 - 2. What is -4*h(b) - 7*k(b)?\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*j**4 + 112041*j**3 - 7962363*j**2 + 72758499*j + 13492710 = 0. Calculate j.\nAnswer: -3465, -2\/11, 11, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let f(w) = -191*w**2 + 4*w + 4. Let i(r) = -191*r**2 + 3*r + 3. Let u(l) = 3*f(l) - 4*i(l). What is u(v(o))?\nAnswer: 191*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + z**2 - z + 1. Let p be i(2). Let t(j) = j**2 + 11*j + 2. Let q be t(p). Calculate the highest common factor of q and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21954568?\nAnswer: 2, 331, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**6\/120 - n**5\/12 - n**4\/4 + 2*n**3\/3 + 29*n**2. Suppose -38 = -5*t - 8. Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5956589?\nAnswer: 61, 97649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 466 divided by -191\nAnswer: -466\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5738 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 7. Let i be f(9). Let t = i - 0. Let d be t\/9 + (-58)\/(-18). Which is the nearest to -1? (a) -0.3 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 0.4035841758854?\nAnswer: 1.4035841758854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14100018 and 33452.\nAnswer: 28200036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -85968774 to the nearest one hundred thousand.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 141. Let x(g) = -80*g**2. What is w(x(c))?\nAnswer: 160*c**2 - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 183649940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41226 (base 9) to base 8\nAnswer: -65027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642*k + 1711*k - 3215*k.\nAnswer: 138*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -13298.\nAnswer: -3\/6649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17686, 17692, 17702, 17716, 17734, 17756, 17782?\nAnswer: 17812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3\/8*u**2 - 1516563\/8 - 2133\/4*u = 0?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(264)\/(-3*sqrt(12)))\/((sqrt(110)*3)\/sqrt(10)) + 2)**2*3.\nAnswer: -10*sqrt(2)\/3 + 2027\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -7. Let m(s) = 2*s**3 - 3*s**2 + 6*s + 37. Calculate the remainder when m(0) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 1, z: 4, r: 2, g: 3, v: 1}. Give prob of picking 1 v and 2 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*q**5 + 25*q**4 - q**3 + 1341*q**2 - 5 wrt q?\nAnswer: -5700*q**2 + 600*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/120 - x**5\/10 + x**4\/12 - x**3\/6 - 51*x**2. Let f be b(6). What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299478784.\nAnswer: 2, 11, 106349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 3865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(2\/3)*a)*a*a*a*a\/a**(-8))**(9\/4))**(14\/9) assuming a is positive.\nAnswer: a**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 12*a - 186. Let q be y(21). Does 18 divide 2905\/15*q - 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 27*m**4 - 57*m**4 + 11*m**2 - 3*m**2 - 7*m**2 - 7*m**3 in the form c*m**4 + h + w*m**2 + y*m + d*m**3 and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 188548 = -581608. Let l = -329844 + j. Round l to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257056 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -657 + 707. What is the remainder when 295 is divided by z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 30*y**2 - 4*y + 152. Calculate the smallest common multiple of 32 and l(30).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n + 3. Let q be (-6)\/(-21) - (-18)\/(-14). Let k be -2*2\/3 - q. Which is the nearest to -1? (a) k (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/(-3))\/(4\/(-6)). Let t be q*1*(2 - 3). Sort t, 4, -3 in descending order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445 less than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9159 (base 16) in base 10?\nAnswer: -758105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Differentiate 3*n - n + 2 - i*n wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/3, -0.1, 2\/55 in decreasing order.\nAnswer: 2\/3, 2\/55, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/14 + -1)\/(143 - 53159\/371).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00096895 to 5 decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 9*c + 12. Let f be q(-2). Let h = 514 + -512. Solve -h = 4*a + f, -3*a - 16 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26053253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d + 10. Let g be (30\/(-75))\/((-2)\/(-30)). Does 13 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2285980087 and -2285980087 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.3 + -9.9. What is the third smallest value in 0.01, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28981.2925*-1.\nAnswer: 28981.2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h. Let i(u) = 3*u**2 + 4*u - 4. Let w(j) = -20*j**2 - 25*j + 25. Let c(k) = -25*i(k) - 4*w(k). Calculate x(c(l)).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1841*x + 346129. What is m(-188)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 3*i**2 - 4*i - 13. Let j be w(6). What is the third derivative of 2 + 1066*c + 17*c**3 - 1066*c - j*c**2 + 4*c**3 wrt c?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1*-2 + -2. Let l be 1*-1*(2 + 4). Let m be 8\/l + z\/(-6). Let u(k) = 4*k. Determine u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 + 93 = 15*q + 8*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**27)\/d**28*(d*d*d**(-25))\/(d**(2\/9)\/d) assuming d is positive.\nAnswer: d**(-686\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 4.\nAnswer: -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -146*f**3 - 3*f + 1 + 5*f + 159*f**3 - f**3 - f**3 + f**3 + (-2*f + f - f)*(f**2 + 2*f - 2*f).\nAnswer: 10*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -409 less than 6754\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-11) + 348\/20 + 0. Sort -1\/4, g, 2\/5, 2 in ascending order.\nAnswer: -1\/4, 2\/5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -231?\nAnswer: 115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -63964\nAnswer: -255856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -1461, 1, 3\/2, -179\/5?\nAnswer: -1461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 3058.98?\nAnswer: 15294.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6323 - 6315.819. Let y = -0.139 - u. Let r = 7 + y. What is r rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(57728\/(-16))*-9*4\/6)\/3\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -1 + 12 + (-20 - (4 - 10))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 13 (c) 2 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 233.293649825 and 1.\nAnswer: 234.293649825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56a - 30?\nAnswer: -59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42637, 0, 4 in increasing order.\nAnswer: -42637, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 8) to base 9\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 1. Let p(n) = n**2 - 10*n - 3. Let h(f) = -6*g(f) + p(f). Let t be h(6). Sort -13, -3, t.\nAnswer: -13, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 - 6*h - 4. Let c be s(-4). Let f = 629982 + -629982. Solve 0*v**3 - 1\/2*v**5 + f - v**c + 1\/2*v + v**2 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -34. Is -2 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Suppose 40*p = 39*p + u. Calculate the smallest common multiple of p and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + l = -0 + 4, -3*p = -6*l + 24. Solve -a + 6*a + 25 = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463124763.\nAnswer: 3, 701, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l + 30 = 0. Let f be (-2)\/4 - l\/(-4). Find the common denominator of -95\/8 and f\/((-2)\/(-54)*-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22335 = -c - 4*a, 33*a + 111822 = 5*c + 32*a. List the prime factors of c.\nAnswer: 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 7*m + 1. Let u be s(2). Let c(t) = 2*t**2 - 8*t - 4. Let j be c(5). Let q be (j\/(-9)*7)\/((-3)\/9). Put q, 4, u in increasing order.\nAnswer: u, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 8:41 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Suppose 0*c = -2*c + 6. Solve -q - 3*q - l*v = 10, 5*q - c*v = -31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17944\/(-2 + -2)*232\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 15 + 4)*(-2*q**2 - 4*q + 4*q) + (4 - q - 4)*(q + 2*q - 5*q).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -68928.\nAnswer: -68928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6569 = 2*l + 42, 3*g + 4*l - 19873 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18\/2447 - -305551\/44046. Let k = -58507\/19120 + -3\/1195. Find the common denominator of k and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (0 - 2) + 0. Let p(x) be the first derivative of 2*x**3\/3 + x**2 + 6*x + 55163. Let c(h) = 8*h**2 + 9*h + 23. What is k*c(i) + 9*p(i)?\nAnswer: 2*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 396 (b) 8 (c) -3 (d) 0.05 (e) 0.2 (f) -0.01 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(22) + sqrt(88)) + 4*-1*sqrt(22))\/(sqrt(275) - 5*(sqrt(275) + sqrt(275) + sqrt(275)*2 + sqrt(275))).\nAnswer: -7*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 895482 and 1610.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r - 4 = 0. Let w(g) = -g**2 - 7*g + 10. What is the units digit of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21652313 times 0.4?\nAnswer: -0.086609252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.171841306 rounded to one dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.982*13.\nAnswer: 233.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 2. Let o(g) = -3*g - 2. Suppose 0 = -4*i + i - 15. What is i*w(t) - 6*o(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -163486*m**2*y**2 - 190421614*m**2 + 2*y**3 + 29*y**2 wrt y?\nAnswer: -326972*m**2*y + 6*y**2 + 58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649646546 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1476 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - i**3 + i**3 - 2*i**3 - 4*i + 4*i - 3 + i**3 + 3 + (5*i - 2*i - 2*i)*(2*i**2 + 7*i**2 - 4*i**2) in the form g*i**3 + o + r*i + v*i**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2 + 0.0347581634?\nAnswer: 23.2347581634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 204506?\nAnswer: 204513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 807 + -785. Let n(p) = 2*p**2 + 12*p**2 + 7*p**2 - t*p**2 - 4. Let v(i) be the third derivative of i**5\/60 - i**3\/6 + 2*i**2. What is n(g) - 4*v(g)?\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 450 = 144. Let u be (-6)\/v + (-10686)\/(-33). Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19519460 and 13640?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 490367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**5 - 4*l**5 + 4*l**5 + (169996*l + 695*l**3 - 169996*l)*(-l + l + 2*l**2).\nAnswer: 1399*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0770472527 to 4 decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909211449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22364, 89340, 200978, 357332, 558456, 804404, 1095230, 1430988?\nAnswer: 1811732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/8 - 159*t**3\/4 + 848*t**2 + 159*t\/4 - 6785\/8 = 0. Calculate t.\nAnswer: -1, 1, 23, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 94 - (2 + -7)) + (-26 - -4) + 24?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1603?\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -r - 4*r + 3*q, -q = r - 1. Suppose 0*p = -r*p + 176. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from whwhwwwhwwhwhwwhww.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 198*l**2. Let b(s) = 265*s - 132*s - 130*s - 1 + 1. Determine c(b(i)).\nAnswer: 1782*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -17*i**3 - 17*i. Let x(r) = r. Determine b(l) + 17*x(l).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*o - 172*o + 3593 + 203 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2*v - 18. What is t(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 16*f - 14. Let m be 10*-1*(5 - 4). List the prime factors of s(m).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9573 + -8697. What is the remainder when f is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -161 and -161 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -39*q**2 - 1. Let o(j) = 3*j**2. What is o(x(y))?\nAnswer: 4563*y**4 + 234*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -5*x**6\/6 + 2*x**5 + 5*x**4\/4 - 10*x**3\/3 + 5. Suppose w(h) = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**13\/(o**0*o*o*o*o\/(o*o**15*o)) assuming o is positive.\nAnswer: o**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 5bbaf?\nAnswer: 5bbb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 3 - -6 - 10\/(-2). Put -18, l, 4 in descending order.\nAnswer: l, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 2*r**2 - 6*r**2)*(-88*r**2 - 661*r + 661*r) + r**4 + 3*r**2 - 3*r**2.\nAnswer: 89*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-915)\/(-84) + -11)*(44\/9 + -4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*z - 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1861*o + 11374. Calculate the remainder when c(-5) is divided by 2067.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*f - 6926 = 0, 26*i - 21*i - 3*f = 11525. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-4))\/(40\/6800)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 10*v**2 - 18*v + 12. Let x be h(10). Let a = -166 - x. Determine w, given that -4\/9*w**3 + 8\/9*w - 2\/3 + 10\/9*w**a = 0.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:51 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 2*g**2 + 2*g - 4. Let w(m) = 9*m**3 + 5*m**2 + 4*m - 9. Let j be (1 - -2) + -10 + 9. What is j*w(f) - 5*u(f)?\nAnswer: -2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -6. Suppose -i*o + 667 = -1523. Suppose 4*p - 168 = -2*n, -5*n + o = -0*n + 4*p. What is the greatest common factor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43362283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -1931, -3201, -4473, -5747, -7023?\nAnswer: -8301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 4*a)*(25 - 34 - 34)*(-2 + 3 - 2)*(3 - 4 + 2 + (-5 + 4 + 0)*(6 - 2 - 5) + 0 + 3 - 1 + 3 - 3 - 1 + 1 + 0 + 1 - 1 + 0 - 1).\nAnswer: -516*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = 18*b - 170. Suppose -6 = 5*r + 14, -v - b*r + 1346 = 0. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -4)*0 + 5. Solve 0 = 5*y + 2*t + 2 - 6, -u*y + 22 = -4*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/14)*i*i\/(i\/(i\/(i*((i**(-9)\/i)\/i)\/i))))\/(i\/(i**2\/i))**(-2\/63) assuming i is positive.\nAnswer: i**(195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -41. Solve -5*t - z - l*z = -25, 0 = -5*t + z + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/4, -429, 0.13752 in descending order.\nAnswer: 3\/4, 0.13752, -3, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j - 7*j + 212 = -10*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 36*t + 328. Let w be a(-18). Solve w*v = 20 - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*n*x**4 + 7149*n*x - 6*n - 1561*x**4 wrt x.\nAnswer: -252*n*x**2 - 18732*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, 14.72, -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiipiiip. What is prob of picking 3 i?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, -35, 1 in decreasing order.\nAnswer: 1, 2\/7, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/16450 - 2142\/(-2538).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -10. Let q(v) = -1. Let l(d) = d - 5. Let a(u) = b*q(u) + l(u). Let j(c) be the first derivative of c**2\/2 - 24. Calculate j(a(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**7\/840 + t**6\/360 + t**5\/120 + 11*t**4\/24 + t**3\/3 + 2*t. Let w(y) be the second derivative of f(y). Does 4 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1917 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/216 and (-5)\/(10\/(-38))*1\/10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 166149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 - 11726*g\/3 - 35180\/9 = 0. What is g?\nAnswer: -1, 17590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*i - 2 - 13, 0 = -5*n - 5*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = 402*t - 400*t. Sort 1, -5, 3\/2, t.\nAnswer: t, -5, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/33459 and -85\/8816.\nAnswer: 15524976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 1975*t**4 - 188010*t**3 - 1383930*t**2 - 3011985*t - 1818045 = 0.\nAnswer: -3, -1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -152593272 and -0.1256.\nAnswer: -152593272.1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = 5*k - 47. Let b = -85 - k. Suppose 5*l = 4*m + 40, 6*l - m - 25 = l. Solve 2*n + l = b*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 54*m. Let f(w) = 345*w**2. Determine f(q(n)).\nAnswer: 1006020*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 236*a**4 - 8*a - 2 + 359*a**4 - 4*a**2 + 10*a + 7*a**2 as g*a**4 + m*a + s*a**2 + i + h*a**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.875638mm?\nAnswer: 0.4875638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = z, -5*u = -3*z - 8 + 2. Determine n so that 0 - 4\/3*n**u + 2\/9*n**2 + 4\/9*n = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*k**2 + 7*k**2 + 56*k**2 + 119*k**2 - 7*k.\nAnswer: 122*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*d - 43 = 0, -p = -0*p - 3*d + 21. What is the common denominator of (-2478)\/(-28)*((-14)\/p + -2) and -67\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*-3)\/(sqrt(60)\/sqrt(5)*4 + sqrt(12)).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = -2*y, -3*p - 3*y = 5 + 4. Let f be 5*((-1 - -5) + p). Solve 0 = 5*a + 4*w + 1, -3 - 32 = -f*a + 5*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -l - 8, -5*l - 4*h - 11 = 5. Suppose v + 2 = l, 3*v + 74 = 5*d + 3. Suppose -w - 4 = 2*z - 0*z, -5*w + d = -z. Is w > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:27 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85897362, -171794723, -257692084?\nAnswer: -343589445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12979851.\nAnswer: 3, 43, 239, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4159 + 4159 - 3*u**3 + 2*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 6, -3*i = -0*t - 3*t + 87. Suppose -4*r = 3*v - 27, 0 = 5*v - 5*r + 8*r - 45. What is the remainder when t is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 12*i - 20*i)*(12 + 36 - 48 + 516*i).\nAnswer: -3612*i**2 - 1032*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18346, 18348, 18350, 18352?\n\"Answer: 2*d + 18344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*-1*(-2)\/(-2). Let a(z) = 11*z**3 - 2*z**2 + 1. What is the units digit of a(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j - 17*j + 11*j)*(-3 - 3 + 5)*(-6*j + 0*j + 3*j).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orkosovkrsrqqkq. Give prob of sequence ookv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofc when three letters picked without replacement from ctccfeofccttc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 19 = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, -7, -11, -1, 3 in decreasing order.\nAnswer: 306, 3, -1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.043, -6\/7 in descending order.\nAnswer: 2, -0.043, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 1 + 12*4\/(-8) + 115.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 + -301. Sort 1, r, -3 in descending order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1101 and 1488609.\nAnswer: 546319503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - (5 - 576\/56). Solve 2\/5*j**2 + 2\/5*j**3 + 1\/5*j**l + 1\/5 - 3\/5*j**4 - 3\/5*j = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 0 - 1) + -65. Let v = 36 + r. Calculate the remainder when 178 is divided by (7 + -8)*(v - -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20746*v + 20746*v - 12*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, 1 a, and 1 n when four letters picked without replacement from {a: 1, r: 2, u: 2, b: 1, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t**2 - 16*t - 14. Calculate the lowest common multiple of z(-2) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 + 1729*r**3 - 676*r**2 - 3*r - 4819503.\nAnswer: 12*r**2 + 10374*r - 1352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 384 - 2?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 3*j + 3*j + (-653 + 21*j + 653)*(-j**2 + 0*j**2 + 2*j**2).\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 79 = 563. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9146772 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 5*s**2 + 13*s - 1. Let f be j(3). Let c = -59 - f. What is the second derivative of 3*q**2 + 0*q + 5*q**c - 3*q - 29*q wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209062.\nAnswer: 2, 7, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*n - n - 39 = 0, 5*k = n - 65. Let t be (k + 8)*(-1)\/1. Let i = -0.19 + -0.21. What is the smallest value in t, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -3.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 + p**2 + p - 1. Suppose -8*t + 13 = -27. Suppose -t = 9*g - 14. Calculate i(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50229 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3300190 is divided by 1033?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-24)*6\/(-4). Let q = 0.7 - -4.3. Sort -5\/2, j, q in decreasing order.\nAnswer: q, j, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301434 (base 5) to base 8.\nAnswer: -117645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-542918)\/32207)\/(((-18)\/21)\/(-3))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/97725 and -41\/244725?\nAnswer: 318876675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltliilltlttttill. Give prob of sequence lii.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1750 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 19. Let v = t + 73. Suppose v = -2*y - 5*c + 27, -y + 6 = 5*c - 15. Solve 4*x - 2 - y = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*x**3 + 2*j*x - 425*x**3 with respect to j.\nAnswer: 2*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s. Let p(g) = -3*g**2 + 11*g - 8. Let d(i) = 4*a(i) - p(i). Let b be 1*12*(-1)\/2. List the prime factors of d(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, d: 3}. Give prob of sequence dddc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d + 55\/6*d**3 + 52*d**2 - 1\/2*d**4 + 0. What is the tens digit of p(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjajjjjj.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h\/(h**3*h))\/h)\/h*h*h)\/h)\/(h\/(h\/h**(-5)*h)))**(2\/59))**48 assuming h is positive.\nAnswer: h**(192\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + 20*b - 17. Let u(s) = 9*s**2 - 14*s + 17. Let g(k) = -4*k**2 + 7*k - 8. Let i(f) = -5*g(f) - 2*u(f). Give 17*i(a) + 6*v(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12399.\nAnswer: 3, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t + 2. Let c = -628 + 537. Let w(q) = -676*q + 91. Give c*f(a) + 2*w(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 515 = -28*p. Let v = p - 78. Calculate the least common multiple of v and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*l - 18, -4*n + 0*n - 3 = 5*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 = r, -5*q - 17 = 3*r - 0*q. Let x = -1 - -3. Let n = x + r. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 71520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1\/18, -2, -3?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 + 5*h - 9. Let x be p(4). Put x, 1, 2 in increasing order.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 3 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212021002 (base 3) to base 7\nAnswer: -100304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2\/(-80) + 1\/5. Which is the biggest value? (a) -2\/23 (b) 1 (c) 2\/5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827999027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986 >= 89884\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/76 and 99\/4636?\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 930. Let r(o) = -9*o. Calculate b(r(m)).\nAnswer: -27*m - 930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328*d = 2709*d - 1327*d + 1512 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = 4*n. Let b be n\/((-5)\/(470\/(-3))). Suppose -b = -2*m + 220. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140113 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-18 - -12). Let k be 2\/(-5) + 3\/(-5). Let f = -30 - -26. Which is the second biggest value? (a) f (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/30 + 1565*q**4\/18 - 3133*q**3\/9 + 1567*q**2\/3 - 109*q - 45. Factor l(u).\nAnswer: 2*(u - 1)**2*(u + 1567)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s + 55. Calculate u(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165\/16, -1, 31, -6, 0.\nAnswer: -165\/16, -6, -1, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(119) + -2*sqrt(119) - sqrt(119)) + sqrt(119))\/(5*sqrt(63) - sqrt(7)))**2.\nAnswer: 425\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjj when three letters picked without replacement from jwwwwwwjjwjjjj?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -0.03 (c) 1 (d) 13 (e) -0.5 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44901 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2373*m - 2375*m + 24, 4*j - 11*m - 48 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.198 + -0.998. Let q(a) = 2*a - 13. Let n be q(9). Put w, n, -1, -0.3 in descending order.\nAnswer: n, w, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3125, -15\/2, 4, 0.1, -1 in decreasing order.\nAnswer: 4, 0.1, -2\/3125, -1, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + w + w - 3*w + 0*w + 2*w + (3 - 3 - 3)*(2 - 2*w - 2) - w - 5*w - w - w - w + 0*w + (-w + 3 - 3)*(-1 + 1 + 2).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -22. Suppose 0 = -5*z + y + 1, 0 = -0*z - 3*z - y + 7. What is the smallest common multiple of 4 and (z - 2) + (1 - v)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48\/11 (b) -29\/5 (c) 0.2 (d) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576255*a**2 + 572804*a**2 - 1148982*a**2.\nAnswer: 77*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7502709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let r be x(6). Let b(k) = -11*k - 41*k - 25 + 3 + 15*k + 3*k**2. Let h be b(13). Sort r, h, 0 in descending order.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 623 - 624. Sort -5, 4, n, -22.\nAnswer: -22, -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 20*r**2 + 8*r + 17. Let s(z) = 7*z**2 + 3*z + 6. Let v(c) = 6*n(c) - 17*s(c). Let a be v(3). Suppose a = 2*k - 11 - 15. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 7*k - 12. Let t be h(-5). Let y(w) = 2*w. Let u(x) = 2*x. Let v(g) = t*y(g) + u(g). Let a(b) = 9*b. Calculate a(v(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 13*l. Let k(o) = -o - 15911075. Calculate s(k(a)).\nAnswer: -13*a - 206843975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.88 + 4.12. What is the fourth smallest value in -2, 0.3, -22, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 + 0*j**2 + 0*j**3 + 4*j + 3*j**3 - 5 + 6*j**3 + 6*j**2. Let p be z(-5). Factor -1\/2*f + p + 1\/2*f**2.\nAnswer: f*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6331 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(12\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -52. Calculate the lowest common multiple of 18 and 445\/a*-16 - (-6)\/21.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d4c33 + 5?\nAnswer: -17d4c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let v = r - -1.4. Let w = -0.1 - -0.1. What is the nearest to 1 in v, -4, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f + 4980 = -828 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1107 - 1089. Let i(h) = h + 14. What is the least common multiple of i(0) and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhyy when four letters picked without replacement from {h: 4, j: 2, k: 1, r: 1, y: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1705848 + 2916882 = 57*p + 26649. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-21 - -5)) + (-35 - -15) + -34?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21650 is divided by 5409.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + -2 + -1 + sqrt(208)))**2 + (sqrt(208) - (-3 + 2*sqrt(208)) - (sqrt(208) + sqrt(208)*-1*6))**2*1.\nAnswer: -1344*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7062, 117, 1 in descending order.\nAnswer: 7062, 117, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(52)\/sqrt(4))**2 - sqrt(13) - (sqrt(468) + sqrt(468) + 0)**2) + sqrt(156)\/(sqrt(972)*-2) + -3.\nAnswer: -1862 - 19*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 33936581.\nAnswer: 33936581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(102)\/sqrt(6) + (sqrt(153)\/sqrt(9) + 5 - sqrt(17)))**2.\nAnswer: 12*sqrt(17) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*i**3 + 5 + 55*i**2 - 18 - 55*i**2 + 13.\nAnswer: -261*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-200718)\/(-3068) - 66)*(-8)\/30. Let -114\/13*j**4 + 303750\/13 - f*j**5 - 180*j**3 - 20250\/13*j - 18900\/13*j**2 = 0. Calculate j.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 2. Let h be b(1). Solve h*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.99 - -0.01. Let u = 57245 + -57248. Which is the closest to j? (a) 2\/9 (b) u (c) 2\/11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 84. What is the remainder when s is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*s**2 - 1441*s**3 - 126*s**2 + 1442*s**3 - 74*s**2.\nAnswer: s**3 - 156*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*f - 34 - 6, -20 = p + 5*f. Let r be (3\/p)\/1 + 154\/35. Put 2, r, 1, -3 in increasing order.\nAnswer: -3, 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*y - 27. Let i(w) = 227*w - w**y - 227*w. Let a(k) = 4*k. Let c(v) = v. Let s(t) = -2*a(t) + 7*c(t). Calculate i(s(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.508 + -7.\nAnswer: -7.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 33. Suppose 3*b = 15, p*b - 118 + 532 = 4*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-3) - 2) + (1 - -1). Suppose 0 = -n - 2*n - z + 783, -k*n + 4*z + 1044 = 0. What are the prime factors of n?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t**2 - t + 2*t**3 - 6*t**2)*(0*t + t + 5*t) as z*t + q*t**4 + u*t**2 + x + g*t**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 35 + 95 = 0. Suppose -q + 782 = 5*a, a + 794 = i*a - 3*q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*1*5 - sqrt(85) - sqrt(85) - sqrt(85)) + sqrt(85))\/(-2*1*sqrt(5)) + 3.\nAnswer: -3*sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 196 in 0, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -251831\nAnswer: 25183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*(-9 + 3). Let g(d) = d**2 + 2. Let x(t) = -5*t**2 - 11. Let c(w) = l*x(w) - 11*g(w). Let j(n) = 74*n. Give c(j(q)).\nAnswer: -5476*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924*p**2 - 181*p**2 + 1179*p**2.\nAnswer: 1922*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + g + 319 = -0*u, 4*u - 2*g - 1284 = 0. What are the prime factors of u?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(2) + sqrt(32)*-2))\/(((sqrt(432) - (sqrt(432) - (sqrt(432)*-1 + sqrt(432))))\/sqrt(12) + sqrt(36))\/sqrt(6)) + -3)**2.\nAnswer: 6*sqrt(2)\/7 + 443\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 77, -35 in descending order.\nAnswer: 77, 4, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/1375 and -48\/775?\nAnswer: 42625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97217273?\nAnswer: 41, 151, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 26*v**2 - 24*v + 4. Let f be o(-25). Let k be 6\/f - ((-1248)\/(-126))\/(-2). Factor 6*h**2 - k*h - 4\/3.\nAnswer: 2*(h - 1)*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaaaaaaaaaaaaza. Give prob of sequence fza.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 39 = -47. Suppose -2*y - 10 = v, -2*y + 0*y = -u*v. Let l = 2 - -4. Which is the nearest to l? (a) v (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 43. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f - 3*x, -f = 3*x - 6 + 1. Calculate the remainder when 403 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211\/146 - -4\/73. Which is the fourth smallest value? (a) p (b) 5 (c) -2\/3 (d) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 5*k - 5. Let m be p(5). What is the common denominator of -1\/3 and 10\/m - (-551)\/72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = -0*g. Let o = -0.12 - -0.62. Which is the second smallest value? (a) -4 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042729 to 6 decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11098*n - 77694. Give z(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1619*c*f**2*y**2 + 3*c*f + 107*c + 34*f**2*y - 2*f*y**2 - 40*f - 3*y**2 + 2 wrt c?\nAnswer: -1619*f**2*y**2 + 3*f + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118.6 + 129. Let z = k + -10. Let y = 14 + -13. Which is the closest to y? (a) z (b) 5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 327, 189, 79, 3, -33, -23?\n\"Answer: n**3 + 8*n**2 - 169*n + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d - 2. Let y be l(11). Suppose 3*p + 6 = 0, 4*u - 2*p - p = y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/200*2)\/((-5)\/30)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = v, 0 = 2*y - 4*y + 4*v + 6. Suppose -757 = -y*x - 2*g, 136 = 2*x - 2*g - 362. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245842, 491829, 737848, 983899, 1229982, 1476097?\nAnswer: 1722244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-22))\/w**(15\/4)*(w**5)**27)**36 assuming w is positive.\nAnswer: w**3969","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 2 y when four letters picked without replacement from yyypyypyyppiy.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319 - 315. Solve 20 = 9*w - x*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-39)*-21*(-4)\/14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -0.002 in descending order.\nAnswer: -0.002, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10*(1685\/(-110) - 6\/33)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.753122+11\nAnswer: -21.753122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 268 - 279781\nAnswer: -279513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, j: 2, o: 7}. What is prob of picking 1 j and 1 t?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40b (base 12) in base 13?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6008 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10 - b**2 + 14 - 5 + 1. Let g be p(0). Suppose -4*y + 132 = 4*w, 0*y - 4*y = -w + 18. What is the highest common divisor of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2 + g - 3. Calculate u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 180.8. Which is the closest to 1? (a) -0.2 (b) 12 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 682.\nAnswer: -14322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, g: 1, o: 1, i: 5}. Give prob of sequence ib.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 0*n**2 + n**2 - n**2 - 6*n**2 + 4*n**2 + (0*n + 0*n + 2*n)*(-3*n + 0*n + 2*n) - 17*n**2 - 6*n**2 - 24*n**2 as z + v*n**2 + a*n and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 29*d = -5*v - 91, -4*v - 60 = -4*d for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - r - 2*r)*(8 + 8 + 26) in the form q*r + v and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/6486 - -210799\/25944. Suppose 13*z - 8*z = 44880. Let u = z + -179447\/20. Find the common denominator of v and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 15*i = 45. Suppose -i*j = -7*j - 57600000. What is j rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96422796?\nAnswer: 2, 3, 19, 29, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**6 - 20*p**5 + 7*p**3 + 4*p**2 + p + 842 wrt p?\nAnswer: -360*p**3 - 1200*p**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1436 - -51?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5788 is divided by 2889?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -77. Suppose 9*x + d = 10*x + 5*v, -4*x - v + 7 = 0. Let j(h) = -6*h**3 - 1 + 0*h**2 + 0*h**2. Give j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/((-39)\/18))\/(3\/2). Let i = -2 + 7. Let x(f) = -f**3 + 4*f**2 + 4*f + 2. Let d be x(i). What is the closest to 1 in q, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -28*r**2 + 0*r - r + 2 + 2*r + 27*r**2. Let g be j(-1). Is -6\/59 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119978533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 17 - 5) + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/20 - 3\/(-5). Calculate the highest common factor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 3. Let a be r(-7). Let k(b) = 8*b - 104. Is 12 a factor of k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010100010110 (base 2) to base 11.\nAnswer: 349a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1145 by 5.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/1224898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -3295*p**3\/3 - p + 5543. Let q(r) = -3*r. Calculate q(s(z)).\nAnswer: 9885*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/85751 or -2\/15?\nAnswer: -30\/85751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 72. Let x be (v + 1\/(-2))*(-2 - 6). Solve 0 = -7*m + x*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660433643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1) + 0 + (0 - -4). Let a(h) = -40928*h - h**m + 40928*h. Let d(w) = 13*w**2. What is d(a(x))?\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 9*l - 21, 752*l - 740*l + 5*z = -116 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 k when four letters picked without replacement from {d: 6, k: 3, y: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258.9 - -54336745.6.\nAnswer: 54337004.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1))**(-3\/35))**(-13\/2))**(-26) assuming n is positive.\nAnswer: n**(507\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -87*o + 5127. Calculate z(59).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/1573)\/(605\/1331)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -12*m + 138. Let k = m + -43. Solve -f + 1 = 0, 2 = -5*u - 0*f - k*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmhzzhmszm. What is prob of sequence mzsm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/10 - 36*r\/5 - 73\/10.\nAnswer: (r - 73)*(r + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 19 = 4*c + c, c = 4*l - 1. Let p(n) = 6099999*n**3 + n**2 - n + 1. Let g be p(l). Round g to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -57*h**2. Let b(a) be the second derivative of -11*a**3\/6 + a**2\/2 + 2169*a - 1. Give b(p(y)).\nAnswer: 627*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 25274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 573, -15, -5 in descending order.\nAnswer: 573, 4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4\/3 (c) 183 (d) 0.2 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 9. Suppose -2*i + 41 = 3*n, -3*n - 5*i + 44 = -0*i. Suppose n = -3*q - f, 3*q + 5 = -5*f - 0. Give o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2 - f + 2) - 16 + 14*f - 8 + 8.\nAnswer: 13*f - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-1)\/2)\/(3\/342). Suppose 2*n = z - 47. Solve -n*t + 4 + 21 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*m + 22298 = -5*m - 11770 - 33912 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 1056.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:54 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 9*h**2 - 7*h - 2. Let b be q(-6). What is the highest common factor of b and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12597 and 39083.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4668273, 4668330, 4668425, 4668558, 4668729, 4668938, 4669185?\nAnswer: 4669470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 14*o**5\/3 + 4*o**4\/5 = 0.\nAnswer: -6\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4604 + -0.04905688?\nAnswer: -4604.04905688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024255 is divided by 15753.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 45930*m - 45927.\nAnswer: -3*(m + 1)*(m + 15309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1344 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 0 (c) -3 (d) -1 (e) -5 (f) -2\/7 (g) 15103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17318123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 + 74*t**3 + t**2 - 74*t = 0. What is t?\nAnswer: -1, 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -26*r - 6. Let z(s) = 3*s. Determine z(o(m)).\nAnswer: -78*m - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 29640798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 3, m: 3}. Give prob of picking 1 t, 1 r, and 2 m.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3083 - 3083. Suppose 0 = -3*o + 4*o + 5. Sort o, 2, 36, x in increasing order.\nAnswer: o, x, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - -0.18. Which is greater: l or -31?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/36 and -107\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29318, -120664, -272906, -486044, -760078?\n\"Answer: -30448*x**2 - 2*x + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -46. Calculate the smallest common multiple of f and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 2*115\/15. Let g(m) = -m**3 - 16*m**2 + 18*m + 20. Let j be g(-17). Solve s = -0*a + j*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 16*d = -187*d + 797796. What is the lowest common multiple of 534 and d?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15536007 and -0.1?\nAnswer: -1553600.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.188, -3, -2\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9277*g - 9286*g - 16 - 696.\nAnswer: -9*g - 712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -67 - 176. Let s be (-76 - i)*((-2)\/(-1) + -1). Factor 4*w - s*w**2 - 4\/5.\nAnswer: -(5*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278738191 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 10*f**2 - 5*f - 23. Let m be o(-10). Are 0.1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 667076461 to the nearest integer?\nAnswer: 25828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (6 - -1))\/(-1). Let z = m + 10. Solve -t = z*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80338.\nAnswer: 2, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -67 - (18 - 183) - 184\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 868905759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59 - -6429?\nAnswer: 6487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuuuw. What is prob of sequence uwuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x**3 - 5*x + x**2 + 7*x - 3*x**4 to the form h*x + p*x**4 + k*x**2 + w + l*x**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -52. Suppose 3*l - o = 4570, -x*o = -3*l + 2*l + 1525. Suppose b - h = -4*h + 384, -4*b + h + l = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -34. Which is the closest to l? (a) 2 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 199\/2, 0.5, 1\/4, -0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/2 + 11\/14. Let u = 2.24 + -2.4. Let s = u - -3.16. What is the second smallest value in j, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - r - 13130 + 13130.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 407*q**2 + 581*q - 76872. Determine n(204).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15642100 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:23 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 8*u**3 - 4*u + 9*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - 4553216?\nAnswer: -4553303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -1.365?\nAnswer: -2.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.26, 11, -1\/4, 1, 44.48 in descending order.\nAnswer: 44.48, 11, 1, 0.26, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y. Let f(m) = m**3 - 2*m**2 + m + 27. List the prime factors of f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742916 and 1264?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 829, -3, -9.\nAnswer: -9, -3, 829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 5*h - 1281 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/3 + 2960*l**3\/3 + 5924*l**2\/3 = 0. What is l?\nAnswer: -2, 0, 2962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -22, -23, -24, -25, -26?\n\"Answer: -l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -12\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p. Let n(r) be the first derivative of -r**3\/3 + 2. Calculate q(n(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/6 - 25*t\/6 - 11 = 0 for t.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 26 = -79 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.22493.\nAnswer: 1.12465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/5, 2980, 20\/17 in decreasing order.\nAnswer: 2980, 27\/5, 20\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*j**2 - 2*j**3 - 18*j**2 - 17*j**2)*(2*j - 3*j + 0*j + (2 - 1 + 0)*(0*j + 0*j - 2*j) + 0*j + 4*j + 0*j).\nAnswer: -2*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 916610*j**2 - 2*j + 2075453.\nAnswer: 1833220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-20)*k*k))\/k)\/k*k**(-23)\/k*k)\/(((k*k*k**(4\/7))\/k)\/(k*k**(-13\/5))) assuming k is positive.\nAnswer: k**(-321\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*s**2 - 581*s**2 + 1011*s**2.\nAnswer: -308*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6988, -1, -3 in increasing order.\nAnswer: -3, -1, 0.6988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2982493 = 91*q - 2973211 for q.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-92))\/(4\/62). Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3402 and 253275.\nAnswer: 287213850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -15, -4, 5.\nAnswer: -15, -4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6706*q - 10125 wrt q.\nAnswer: -6706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89608599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = -3*d, 0*r + 4*d = -3*r - 6. Let k = 0 + 0. Suppose -3*j + j - 9 = -3*n, k = 4*j - 2*n + 6. Solve j*z - 2*x - 12 = -z, 0 = 4*z + r*x - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*x**4 + 20*x**4 - 34*x**4)*(2*x + 5*x - 4*x) + (3*x**4 - 3*x**4 - x**4)*(0*x - 4*x + 3*x).\nAnswer: -155*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - u + (-4 + 4 + 2*u)*(1 - 4 + 1) + 47 - 1027*u - 35 - 11 - 4573*u.\nAnswer: -5605*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q + 4*q**3 - 4*q - 10*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = 2*f - 28*w - 71454, 3*w = 4*f - 142913. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -l + 6*l - 4*c, 0 = l + c - 3. Suppose -6*k = -4*k - 2. What is the lowest common multiple of l and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from iuzot?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -65. Suppose -t*o + 24245 = -55*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6872*p*u**2*y**3 - 6095*p*u*y - 2*y**3 wrt u.\nAnswer: 13744*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/4356 and -25\/1392?\nAnswer: 505296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 + 4*p + 4*p**2 - 12*p - 12. Let t be h(-3). Let d(x) = 7*x + 17. What is the tens digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 1. Let s be b(1). Suppose -643*z = -650*z - 168. Is 4\/(-1 - s) - z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5*g**4\/42 + 143*g**3\/21 - 58*g**2\/7 + 185*g + 127. Let n(y) be the first derivative of d(y). Factor n(v).\nAnswer: 2*(v + 29)*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288865 and 1386552?\nAnswer: 6932760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/108)\/((-4)\/(-969)). Let i = -35\/4 - j. What is the closest to 0.1 in -0.5, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5221384751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 (base 7) in base 6?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0*p**6 + 0*p**5 + 1\/2*p**4 - 8*p + 0*p**3 - 1\/2*p**7 + 0*p**2 + 0. What is the third derivative of x(d) wrt d?\nAnswer: -1260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/5, 0.2, -0.7, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and ((-3)\/4)\/(18\/(-168))?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546360 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.2. Suppose 2*v + 43 - 41 = 0, v + 9 = 2*s. Let f be (-9)\/6*4\/(-18). What is the third smallest value in x, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-11))\/(2\/(-22))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + -38?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1669 + -1672. Which is the nearest to 0.01? (a) -0.4 (b) -10\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 45993593*n**3 - 153*n**2 + 5*n - 1868 wrt n.\nAnswer: 120*n**2 - 275961558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x - 23. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6193*s = -6200*s + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.72 - -5.72. Which is the nearest to 2? (a) w (b) 1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*i - 25, -3*t = 2*i + 8 - 33. Let d(n) = -8*n - 1. Let k be d(3). Let g = k + 179\/7. Which is the closest to 0.1? (a) i (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d - 23*d + 53*d + (2 + 1 - 1)*(d + 1 - 1) + (d - d + 3*d)*(-1 - 4 + 3).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 12*l + 2. Let y(s) = 31*s**2 - 66*s - 11. Let i(r) = -2*y(r) - 11*z(r). Let x(b) = 5*b**2 - 17. What is x(i(n))?\nAnswer: 80*n**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9893486.\nAnswer: 2, 79, 62617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 1506*b**5 - 1468*b**5 - b**2 + (-3*b**5 + 2 - 2)*(-1 + 1 - 1).\nAnswer: 41*b**5 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.031 + -0.531. What is the smallest value in -0.06, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-42)*(13\/1 + -1). Suppose s - j = 7508, -4*j + 8 - t = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432858821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(-3000)\/(-240)*(-10)\/100?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2889006 is divided by 2728.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123515631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1164848 and 6889952?\nAnswer: 323827744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 334899379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -56, -1, -7 in descending order.\nAnswer: 2, -1, -7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14*4\/(-8))\/(12\/(-38)) and -157\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4955198.9 rounded to the nearest one hundred thousand?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -2 - (-7)\/((-35)\/(-30)). Suppose 0 = 5*o + 4*q - 205, q - 130 = -6*o + m*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4520 - -2139. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3706, -16754, -39144, -70876, -111950, -162366, -222124?\n\"Answer: -4671*w**2 + 965*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*x - 2531 + 5491 + 2739 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -203551?\nAnswer: -203542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 2*q**3 + 0*q**3 + (6*q - 19*q - 9*q)*(5 + 2*q**2 - 5) to w*q + s*q**2 + i + o*q**3 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4691, 1, -8, -1\/2, -3\/2, -2 in ascending order.\nAnswer: -4691, -8, -2, -3\/2, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2)\/(-16)*((-64)\/(-6) + -8)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 13.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -5609, -20\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-2*sqrt(84))\/sqrt(12))**2 - sqrt(7) - -6*sqrt(28)\/sqrt(4) - ((sqrt(42)\/sqrt(6) + sqrt(7))*2)**2*5).\nAnswer: -533 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(98)\/sqrt(2) + sqrt(49))\/(sqrt(175)*-1) + 0 + (4*(-2 + sqrt(7)) - sqrt(28)\/(sqrt(4) - (sqrt(24)\/sqrt(6) + sqrt(4)) - sqrt(4))).\nAnswer: -4 + 37*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -2049*q**5\/20 - 8029*q**4\/24 - 12871*q**2. Find the second derivative of d(s) wrt s.\nAnswer: -12294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**6\/15 + a**5 - 4*a**4 - 10*a**3\/3 + 25*a**2 + 9*a. Factor q(c).\nAnswer: -2*(c - 5)**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.35750023.\nAnswer: 2.50250161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 32*l + 281. Let u be t(-9). Let c(x) = -x**3 - 7*x**2 + 2*x + 5. Determine c(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16\/5 (b) -10 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29155423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 25 - 1. Solve -b + s*m + 8 = -2, -4*b + 3*m = -14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 5*x**4\/4 - x**3\/3 - 3*x**2 + 5*x + 8. Let d(u) = -11*u**3 + 2*u**2 + 13*u - 11. What is 6*d(h) + 13*p(h)?\nAnswer: -h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 - 79 - (-141 + 178)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 21*a + 12*v - 12 = 0, 17*a + 6*v = v + 61 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 6 - (2 + -4 + 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -456, -684, -912, -1140, -1368?\nAnswer: -1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11069\/75 - 151\/75. Which is smaller: s or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -11005.\nAnswer: -11004.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 590216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -19. Find the third derivative of 20*u**2 + 5*u**6 + 0*u**r - 4*u**2 wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 16) in base 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24503, 98429, 221653, 394187, 616043, 887233, 1207769?\n\"Answer: 2*d**3 + 24637*d**2 + d - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -78, -160, -292, -486?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:31 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -10. Let i = m + 6. Which is the smallest value? (a) 0.1 (b) 1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29699\/12 - 2474. Let r = 1853 - 22129\/12. What is the common denominator of r and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5. Let j = 3.08 - 0.08. Let z = -426.5 - -426.6. Which is the third biggest value? (a) z (b) j (c) 0 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 35, 41, 47, 53, 59?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {v: 2, j: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**13\/(c*c**(-1\/3)\/c)**(-1\/11) assuming c is positive.\nAnswer: c**(283\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 0, -2*c + q + 12 = c. Let o(s) = s**3 - 4*s**2 + 5*s + 2. Calculate o(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.5, 1\/3, -5, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b. Let k be -6 - -6 - (-3 - b). Suppose -5*h = k + 2. Is 1\/8 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -308 - -312. Suppose 15*h = x*h. Sort 4, -8, h, -2.\nAnswer: -8, -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 227362060.\nAnswer: -1\/56840515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 14*q + 12. Let m be n(6). Solve 3*i = -4*j - m*i - 12, -4*i + 3 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 0.29, 0 in descending order.\nAnswer: 0.29, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 17*t**2 - 58*t - 259. Calculate u(-13).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 548358723 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 875375434 and 4?\nAnswer: 1750750868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/5 + 74*a**4\/5 + 272*a**3\/5 + 264*a**2\/5 = 0. What is a?\nAnswer: -33, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 16. Suppose 2*y + 3*g + 18 = 0, 1 = g + 5. Let k be 6*((-2)\/(-3) + 2 + -2). Let c be (k - 16\/12)*y. Give f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = b - 2*b + 5, 5*y = 2*b - 10. Solve 1\/4*n**3 + y*n**2 - 3\/4*n + 1\/2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z + 58. Give p(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 7*y + 10. Let s be w(6). What is the closest to -5 in 3, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3, -4 in descending order.\nAnswer: 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224 - 163. Let j be 0\/(4 - 2\/1). Suppose 3*a + 14 - 53 = j. What is the remainder when v is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)\/((o*o**(8\/5))\/o*o)*(o\/(o*o**(4\/13))*o)\/(o*(o*o\/(o*o*(((((o*o*o\/(o**18\/o)*o)\/o)\/o)\/o)\/o)\/o*o*o)*o)\/o) assuming o is positive.\nAnswer: o**(-1879\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1014\/(-429)*22\/16\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9711372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17444 by -4.\nAnswer: 4361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*j - 217*j + 7*j**3 + 6 - 24*j.\nAnswer: 7*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1634 + -1779. Which is bigger: m or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6676*g = 8536*g - 63240 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.08658771 rounded to 1 dp?\nAnswer: -97.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/17))**(31\/2)*p**(-1\/22)*p*p\/p**(-1\/7))**(21\/5) assuming p is positive.\nAnswer: p**(2151\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -520036581 - -5\nAnswer: -520036576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2))**38*(y\/(y*y\/y**(-2)))\/y**(-1\/7)*(y*y**(1\/4))**(-2\/33)\/(y**(2\/5))**(5\/6) assuming y is positive.\nAnswer: y**(17053\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -0.22. Let a = u - -0.36. Let h = 45\/82 - 2\/41. Put -2\/5, h, a in increasing order.\nAnswer: -2\/5, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/4 - m**3\/3 + 778*m + 147. List the prime factors of i(0).\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*f + 673*f = -4*t - 13, -10 = 2*t + 2*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 794 = 2*v - c, -2*c + 590 = 3*v. Let z be (-2)\/(-11) - (-96)\/v. Which is bigger: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 74427056?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.262548 decades in centuries?\nAnswer: 0.7262548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138440402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29019183 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -94. Suppose -t + 3*t + 3*j = 14, -2*j - q = -5*t. Let a(b) = b**2 - 9*b - 1. Let y be a(t). Solve 7*d - 2*d = 3*z - y, -3*d + 5*z - 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6815.1 and 0.44?\nAnswer: -2998.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233\/3 + 3955\/51. Which is the second biggest value? (a) -1\/10 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/57 in -98.5, 2, -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-15)\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169828 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 - 7*t + 19. Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-20)*(-11373)\/4086. Let l = p - 42\/227. Let a = -624\/17 + 4353\/170. What is the common denominator of a and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16*o + 36. Let l(n) = -3*n - 7. Let b be (6 - 24\/20) + -7 + 7\/35. Let v = 15 + -26. Give b*p(k) + v*l(k).\nAnswer: k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t**4 - 4*t**3 - 23. Let l(w) = 9*w**4 + 3*w**3 + 23. Let k = -43 - -39. Let m(u) = k*l(u) - 3*g(u). Differentiate m(o) with respect to o.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 2, f: 1, i: 2, v: 2, n: 2}. What is prob of picking 1 n, 1 x, and 2 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 5) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let o(d) = 2*d - 2*d + 3*d + d - 8. Give s(o(n)).\nAnswer: -4*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39275520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3125*k - 982.\nAnswer: 3125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v + 6. Let c(m) = m**2 - 11. Let y be c(4). What is the units digit of q(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1968, 3882, 5800, 7722, 9648, 11578?\nAnswer: 13512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 1, e: 4, b: 2}. What is prob of sequence zq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5713 * 0.019.\nAnswer: -108.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 6) to base 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j + 133*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28679660 and 57695?\nAnswer: 315476260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 78 = 2*q, 17 - 113 = -5*l - q. Suppose -l*d + 14*d = -320. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/5 - 51*t**2\/5 + 759*t\/5 - 529 = 0?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2239*h*r**2 - r**2 - 122*r wrt h.\nAnswer: -2239*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22318372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 + 233. Let c(i) = -17*i**2 + 2*i + 1. Give c(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 44618?\nAnswer: -44613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1123511, 2247020, 3370529, 4494038, 5617547, 6741056?\nAnswer: 7864565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-1)\/(-3)*(-6)\/10. Solve 0 = -6*r + 4*r - 5*h - 31, -r = -d*h - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 127740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p + 48. Let z(j) = -10*j + 57. Determine 4*d(v) - 5*z(v).\nAnswer: 18*v - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 511 + -509. Suppose n*j - 13*j = -286. Solve -18 = -4*q - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/221550 and -47\/1262202.\nAnswer: 220885350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = -5*s + 56, 5*s = 3*w + 52. Let v = -447 + 459. Calculate the highest common divisor of s and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-6)\/(-30) - -7. Let f(m) = m**3 - m**2 + m. Let d(p) = 8*p**3 - 10*p**2 + 6*p + 1. Determine t*f(x) - d(x).\nAnswer: -2*x**3 + 4*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -10 + 10 + 6 + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.9 - -128.9. Let a = 110.7 - y. Let d = 6.7 - a. What is the second smallest value in 0, d, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7))**16*(y*y**(-29))**(-25) assuming y is positive.\nAnswer: y**604","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 2. Let x(d) = 12*d + 27. Suppose 0 = -2*y + 23 + 31. Calculate y*a(h) - 2*x(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 77167226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 11}. Give prob of sequence nhhn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -46.6. Sort 5, x, -2\/37.\nAnswer: x, -2\/37, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 607*y + 335. Is x(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 141, 241, 393, 603, 877, 1221, 1641?\nAnswer: 2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2*n + 2. Let o be g(2). Suppose q - 3*q + o = 0. Suppose 0 = 4*w - w + m - 9, q = 3*w - m. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, -53, -5, 1 in descending order.\nAnswer: 1, -0.2, -0.5, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -54 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2787.4 take away 0.02?\nAnswer: -2787.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 0.8435?\nAnswer: -15.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 14*n - 11. Let k be i(15). Let f be (76\/(-133))\/(k\/(-14)). Suppose 0 = -f*b + b + 97. Calculate the remainder when b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 232*k - 232*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 1. Let x(m) = -7*m + 9. Let z(c) = 6*u(c) - x(c). Let g(j) = -2*j - 2*j + 4 + 2*j. Give -3*g(p) - 4*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 15 = 5*w, -c - 13*w + 11*w = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 22*w - 11. Let c be d(21). Let r(q) = q**2 - 12*q + 22. Let s be r(c). Solve 3*n = 2*a + 6 - s, -2*n - 3*a = 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 7, 13, 11, -5?\n\"Answer: -o**3 + 5*o**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/225)\/(1\/5). Let x = 120138 + -120127. Do x and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 + 4. Let h = -15 + 10. Let g = -7431 + 7427. What is the closest to -0.2 in o, g, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-442)\/(-8190) + (6\/(-63))\/((-6)\/(-7)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = a - 2. Suppose 9*d - a = 3*d. Let x(u) = -2*u**3 - 6*u**2 - u - 4. Calculate the remainder when x(-4) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -1. Let c = o + -0.4. Let a = 39 - 44. Sort 1, c, a in decreasing order.\nAnswer: 1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2585, 2552, 2519, 2486, 2453?\nAnswer: 2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 595 - 557 = 5*d, 0 = -4*i - 37*d + 214 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39843947\/270 - -147570. What is the common denominator of h and -86\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63501 (base 14) in base 4?\nAnswer: -322201131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104746 is divided by 258?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 38*l + 187. Suppose -5*o + 166 = -3*r, -3*o + 88 = 22*r - 18*r. Give z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19726011*c + 6503885 wrt c?\nAnswer: -19726011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 2}. What is prob of sequence rnnr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23334303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 34*q**2 + 33*q**2 - 61*q**2)*(12*q + 16*q - 8*q).\nAnswer: 120*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 + (-1664)\/(-80))*5. Let t(s) be the first derivative of 0*s + 5 + 0*s**2 + 11\/2*s**4 + x*s**3. Find the third derivative of t(h) wrt h.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -1\/12*r**5 + 1\/12*r**4 + 1\/30*r**6 + 0*r + 29*r**2 - 1\/210*r**7 + 0 + 0*r**3. Find z such that p(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305884, -305880, -305874, -305866, -305856, -305844?\nAnswer: -305830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*v - 4. Let p(z) = -z - 3. Let o be p(v). Suppose o = w - 4*s + 14, 3*s - 10 = -3*w + 2*s. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 + 3*v**2 - v**2 + 2*v - 2*v**2.\nAnswer: 6*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504224938.\nAnswer: 2, 7, 137, 151, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(70\/(-7))\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = -44. What is the derivative of i**4 + 12 - o + 7 - 19*i**4 wrt i?\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329.9 + -354.8. Round d to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 5\/3 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3535291g?\nAnswer: 353529100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664922341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -16, -63, -150, -289, -492, -771?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - 11) - (-65 + 99 - 7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 121, 947, 3189, 7555, 14753, 25491?\n\"Answer: 118*a**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834425 not equal to 5834439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:32 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*l - 0*l - 3, 4*l = -4. Suppose -x - 3 - 14 = 0. Let v be -1*(x - -2)\/(-3). Sort i, v, 3 in ascending order.\nAnswer: v, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 61. Calculate the greatest common divisor of 52 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82818600 rounded to the nearest one hundred thousand?\nAnswer: -82800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11687 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + (-29 - (-40 + -11 + 11)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.028030552374 + -0.1.\nAnswer: -0.128030552374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4972735 or -4972775?\nAnswer: -4972735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/12)*j)*j)\/j*j\/j**(-5\/4))\/(j\/(j*j**1)*j**9*j) assuming j is positive.\nAnswer: j**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543025653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1580 divide 82209164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.0118 + 0.5.\nAnswer: 3.5118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 8*o - 3. Let m be s(-8). Let l(y) = 7*y + 1. Let j(p) = 6*p + 1. Let h(d) = -6*j(d) + 5*l(d). Let b be h(2). Is m not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b + 14 = -66 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 9*b + 8. Let g be m(9). What is the hundreds digit of g\/10 + (-516)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3112 and 3112?\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/298523 or -1?\nAnswer: 9\/298523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*z - 5*w - 25 = 0, 5*w + 19 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204*1.9467.\nAnswer: 397.1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*l - 10*l. Suppose -12 = -5*k + l*o, 3*k + 4*o = 7*k - 12. Solve k = 2*i + i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/9 and 85\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 716423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 2956*a - 76400.\nAnswer: 4*(a - 764)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14507 - 16525 = 238*u + 193*u for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from {u: 2, l: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:19 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 327584 <= 327585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29*((-5520)\/(-18) + (-5)\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 20*z - 3*r, 9*z - 13*z + 5*r + 19 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:30 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*u - 4*s, -2*u + 24 = -4*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8488 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -159\/38 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(648\/(-135))*(-288)\/40?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15217.15698 rounded to 0 dps?\nAnswer: -15217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502477389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 619217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -1 - 7 - (167 - 101)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-2))\/(-1))\/(-1) - 187\/((-34782)\/279)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 621609 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*r - 1644, 40*r - 825 = 38*r + 5*z. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886345?\nAnswer: 3, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16280 divided by 4.\nAnswer: -4070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*y + y. Which is the closest to 2\/3? (a) y (b) -0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1210*8\/6*(-174)\/(-464) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 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: Solve 14*n**5 - 164*n**4 - 21944*n**3 - 6256*n**2 = 0 for n.\nAnswer: -34, -2\/7, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52730, -52613, -52494, -52373, -52250?\nAnswer: -52125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5\/3 + 995*t**4\/3 - 48995*t**3\/3 - 50995*t**2\/3 + 49000*t\/3 + 50000\/3 = 0 for t.\nAnswer: -1, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12144 - 12113.4. What is the second biggest value in u, 0.32, -5?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 123 = -25. What is the greatest common divisor of n and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 4*c - 20 = 0, -5*w + 5*c = -30. What is the units digit of ((-117)\/w)\/(7\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 42, 82, 138, 210, 298, 402?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2, 2 = -4*p - 4*f + 5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*z = 15, -4*r + 5*z + 24 = 3. Let j be 0 + -1 - 1*7. Let k be (0 - -3)\/((-6)\/j). Solve -r*s + 5*g + 6 = 0, 3*s = k*s + 4*g + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 10*m + 20 = 0. Let a(l) = -l**2 + 5*l + 1. Let x be a(m). Suppose 33 = q + x. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxe when three letters picked without replacement from oxqkpeq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4778, 4779, 4782, 4787, 4794, 4803, 4814?\n\"Answer: c**2 - 2*c + 4779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(152)*-1)\/(sqrt(200) - (sqrt(200)*-1 + sqrt(200))) + -6*(-5*sqrt(171)\/(sqrt(90)\/(sqrt(10) + sqrt(90))))**2.\nAnswer: -45600 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(-1)*p))\/p)**(-3\/2)\/(p**(-1\/2)\/p*p)**38 assuming p is positive.\nAnswer: p**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g = 2*x - 22, 2*g - 3*x - 2 = 0. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.1 + -14.1. What is the nearest to 2 in 5, 1\/9, h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by -1297.\nAnswer: -116\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138\/55 - 13\/5. Do -1 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/17))**(-3\/25)\/(b*(b*b**9)\/b*b*b\/b**(7\/8)))**(-24) assuming b is positive.\nAnswer: b**(113619\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + -1. Let j = -3 - c. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*205\/492?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 118, 360, 834, 1618, 2790?\n\"Answer: 13*i**3 - i**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 + 8*k**3\/3 + 7*k**2\/2 + 6*k - 544. What is t(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -1143\nAnswer: -57.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 797, 6398, 21593, 51176, 99941, 172682?\n\"Answer: 799*p**3 + 3*p**2 - p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 11*x**6\/30 - 17*x**5\/5 + 12*x**4 - 56*x**3\/3 - 15*x**2 - 38. Determine j so that s(j) = 0.\nAnswer: 7\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.547 * -2889.\nAnswer: -1580.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8633*l + 8637*l + 131*m + 14*m = 0, -5*l = 5*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1047 (base 9) to base 4\nAnswer: 30010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -165. Let i(r) = -43. Let y(d) = 4*i(d) - k(d). Let q(l) = -l - 6. Calculate 7*q(f) - 6*y(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6806*t = 6834*t - 2128. Solve 0 = -l - 70 + t for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 857*g + 7970. Determine z(9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*f - 8 - 10 = 0, -4*s + f = 29. Is (-2 - -4 - 3) + (-10220)\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 22930 + 1394958 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/3)\/2 + -4. Let s be 1*-47*(v - -3). Suppose t + 0*t - s = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.538788 millilitres in litres?\nAnswer: 0.007538788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-3) - (-104)\/(-24). What is the closest to q in 6, -1\/3, 4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l - n - 202 = -46*l, -4*n = -3*l + 128. Suppose 3*u = -v + 10, -3*u + 0*v + 5*v - 14 = 0. Solve u*t = 10*t - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (37 + -37 + 5 + -2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 26 = 58. Suppose 0 = -3*r + 6*r - s. Suppose -m + 2*m - 4*g = r, -m + g = -11. What is the remainder when 38 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 521 - -113. List the prime factors of m.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 2*t - 3, -2 - 6 = -k - 3*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 654*g**4 - 18*g**3 + 11839*g**2?\nAnswer: 15696*g - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5 = 4*v + 3, v - 8 = -3*p. Solve p*h = r - 0 + 22, 0 = -r + 3*h - 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Let x be (78\/156)\/((-7)\/4). What is the closest to x in -4\/7, 2\/11, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1 + 1451*f - 1599*f + 14. Let m(y) = -49*y + 4. Let w(n) = -7*m(n) + 2*r(n). What is the remainder when w(3) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*g + 18 = 0, 72*g - 71*g + 0 + 7 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 3. Let k(g) be the second derivative of g**4\/4 - 2*g**2 - 18*g. Let c(s) = -3*k(s) - 4*x(s). Let t(f) = -15*f**2. What is t(c(b))?\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3811 or 3812?\nAnswer: 3811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)\/(k\/(k\/(k*k**(-1\/12))*k)*k))**(-10\/17)\/((k**(-1))**(1\/24))**(2\/13) assuming k is positive.\nAnswer: k**(5381\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 2*i - 4*h - 60, -8 = 2*h. Calculate the greatest common divisor of i and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2012212321 (base 4) to base 16\nAnswer: 869b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8800 and 67367025.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/21857290 and -17\/35?\nAnswer: 21857290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/8)\/(1\/2). Let k(x) = -4*x**2 + x - 1. Determine k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:03 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s + 132. Suppose 0 = 2*v + 3*v + 5, -4*g = -5*v - s. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258504.\nAnswer: 2, 3, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 2*i + 10. Let d(j) = j**2 - 7*j + 13. Let h be d(6). What are the prime factors of c(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 2 - 4 + 10*b**2 + 4 + 4. Let p(q) = -1. Let x(m) = n(m) + 4*p(m). Is 2 a factor of x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88299593911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3876507134.\nAnswer: 2, 1938253567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/((-63)\/98).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951584410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + -3ed8?\nAnswer: -3eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -0.5 (b) -3.3 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94994639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -373, -747, -1121, -1495, -1869, -2243?\n\"Answer: -374*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003078 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6186, 6193, 6202, 6213?\n\"Answer: u**2 + 4*u + 6181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(-1*sqrt(405) + sqrt(405) + 5 + -5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 3*l + 9, 5*l + 2*o + 20 = 0. Let j(f) = -2*f**3 - 3*f**2 - f - 9. What is the units digit of j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - p - 833133 = 0, -47*h + 51*h - 4*p - 1110860 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 13445*d + 13444.\nAnswer: (d - 13444)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 789 + -6301\/8. Find the common denominator of -39\/22 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/3 + 3*u**2 - 3*u + 70. Calculate h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154085.\nAnswer: 5, 30817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (-3 - (1 + -6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19315047 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddad when four letters picked without replacement from {q: 6, d: 4, a: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*f = 144 + 2226. Sort -1, 1, f, 11, 6.\nAnswer: f, -1, 1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3229862*i - 15170 = 3229657*i for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -109, -272, -511, -832?\n\"Answer: -o**3 - 29*o**2 + o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 4*j - 11. Suppose -18*v = -21*v - 1038. Let d = j - v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1659890 by -635.\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 300564.092 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 729\/54*-5*4\/30*(-481)\/(-39)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16743 + 16743 + 195*r**2)*(1 - 1 + 2*r**2)*(0*r - 3*r + 2*r).\nAnswer: -390*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q)\/q*q*q**(2\/37)*q)\/(q\/q**(1\/5)*q)**(-21) assuming q is positive.\nAnswer: q**(8483\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 411 + -3704\/9. Find the common denominator of b and 24\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r - 6. Give m(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14065035163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -24. Let f be d\/12 - (-2)\/8. What is the units digit of f\/9 + 88\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 5:49 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12388213 and -0.54.\nAnswer: -12388213.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 269177\/21 + -12819. What is the closest to 0.2 in x, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5, -0.3, -0.41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24351 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001100011 + 10011000?\nAnswer: 1101011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2198 + 7 + -4 + 2. Let d = 11074\/5 - n. Calculate the common denominator of d and -36\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 14. Let p = t + 27. Let o = p + -9.2. Which is the third smallest value? (a) -0.4 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-20)\/(-30)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -26*c + c**2 + 14*c - 2*c**2 + 13*c. Determine b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 40545468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*x + 4, 3*x + 22900 = -5*b + 22916 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.499071 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 408*a**4\/11 + 1206*a**3\/11 + 1170*a**2\/11 + 354*a\/11 - 18\/11.\nAnswer: 6*(a + 1)**3*(68*a - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7046505 is divided by 1689?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8455 - -2)*3\/(-9). Let z be (-50)\/(a\/940 + 3). What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -15, -2, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -3*a - 51*h, 44555*h = 5*a + 44553*h + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 g when four letters picked without replacement from uuuugauuuuguuguu?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 731824949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16875201 and 801?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1329210 and 16281.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.55\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34225 divided by 2?\nAnswer: -34225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3927*r**2*s + 18373344*r**2 - 824*r*s wrt s.\nAnswer: -3927*r**2 - 824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -226*r - 8151. Determine g(-41).\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/48 and -97\/132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 3:00 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + h**3 + 3*h**3 + (3*h**2 + 2*h**2 - 4*h**2)*(1 - 1 + 2*h) - 5*h**3 + 58*h**3 - 2*h**2 - 239*h**3 to l*h + x*h**3 + z + u*h**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77184.17 litres to millilitres.\nAnswer: 77184170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/73 and -69\/5192.\nAnswer: 379016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.456316 nanograms?\nAnswer: 0.000000000000456316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(450\/207) - 51\/85?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028456068 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 27 = 4*b. Let s = 338 + -340. What is the third smallest value in -1\/3, b, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31473 and 2133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 8*r**2 - r**2 as v*r + m*r**2 + k and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -42, -1720, -4, -5 in ascending order.\nAnswer: -1720, -42, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:17 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1165193*t**5 - 2*t**3 - 3554808*t?\nAnswer: -23303860*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 19810*t - 19805.\nAnswer: -5*(t - 3961)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 924797b?\nAnswer: -924797a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/19))\/(i*i**2)*(i*i**(-3))\/i*i**(-3\/5))**(26\/5) assuming i is positive.\nAnswer: i**(-14092\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(21 + -22 - -3). What is the closest to 0.1 in a, -1, -17, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33960 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurruturatburha. Give prob of sequence arrr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 15. Suppose -5*t - 2*t = 98. What are the prime factors of m(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105954 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = -4*b + 2*b, 0 = -5*b - 3*s - 6. Let x = -4 - b. Put -3, x, -4 in increasing order.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 - (44 - 135 - -203)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*v*z - v - 6*z + 26 with respect to v.\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxj when three letters picked without replacement from {x: 2, j: 9}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 7098*s - 28344.\nAnswer: -3*(s + 4)*(s + 2362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 11*b**2 + 8*b - 18. Let y be x(-10). What is the greatest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 + 9*q + 18. Let n be s(-8). Suppose -2*a + 28 + 22 = 5*i, 0 = -i - 2*a + n. What is the least common multiple of 22 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 5*x = 7, -4*z - 5*x = -14. Let m(a) = 43*a + 1. What is the units digit of m(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295848, -295798, -295748?\nAnswer: -295698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 25\/188 (b) 0 (c) 2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.05 + 0.05. Let x = -4 - -4. Let y = -190\/141 + 2\/141. What is the second smallest value in a, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-342)\/(-9))\/(-1 + -1). Let a = 34 + p. Calculate the greatest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -1*sqrt(17))*-2 - (sqrt(612)*1 - sqrt(612)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s*s\/(s\/(s**(1\/7)*s)))**(-2\/65) assuming s is positive.\nAnswer: s**(138\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 199?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/288)\/(2\/(-8)). Let c = 11\/18 - k. What is the second biggest value in -4, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 14*k + 27. What is the remainder when w(-15) is divided by (-2)\/1*7\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7 + 5. What is the lowest common multiple of 12 + (-27)\/(-4) + (-24)\/32 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0*f + 0*f)*(-14*f + 84 - 84) + (-2*f + 1 - 1)*(6*f - 2*f - 3*f) in the form n + r*f + z*f**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-9)*1)\/((-3)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*f - 2*y + 3*y, 0 = 5*f - 4*y - 31. What is the remainder when 27 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -3.29, -1\/6, 3\/2.\nAnswer: -3.29, -1\/6, 3\/2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2448) - (sqrt(2448) + -2)) + (-1 + (sqrt(2448) - sqrt(2448)*4) - sqrt(2448))**2 + -1)*-6.\nAnswer: -234984 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3600 and 4368?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76033874 and 1504?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqsshhqhsqsqqhh. What is prob of sequence sqsh?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 440\/45 - (-4)\/18. Suppose q + d = t, -d + 34 = 3*q - 2*d. Let s(j) = j**3 - 9*j**2 - 7*j - 1. Is 19 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -107296*o - 15. Determine n(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*t + 6. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 35*o**2. Let p(h) be the second derivative of h**4\/6 - 2*h + 24. What is r(p(u))?\nAnswer: 140*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**5 - 7*p**4 - 3106*p**3 - p**2 - 1443*p + 1 wrt p.\nAnswer: 180*p**2 - 168*p - 18636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 26, 49, 74, 101, 130, 161?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126.3 - 14.3. Let m = r + -111.9921. What is m rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -34*q**2 + 3*q + 1. Let v(y) = -y**2 + y - 2. Let d(b) = -s(b) + 2*v(b). What is the second derivative of d(i) wrt i?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1418 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyyyyqqyyyyyy. Give prob of picking 2 q and 2 y.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 - 16*i**4 + 0 + 0*i**2 + 9*i**4 - i**2 - 5 + i + 9*i**4 in the form p*i**2 + x + z*i**3 + t*i**4 + a*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, l: 1, u: 1, j: 1}. Give prob of picking 1 u and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7067 rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*s = 36, 0 = 2*s - 4 - 2. Let c(t) be the second derivative of 1\/2*t**3 + 2*t - 7\/2*t**2 + 1\/12*t**4 - 9. Give c(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -945 divided by -31834?\nAnswer: 945\/31834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 415*a**3*g**2 + 480*a**2*g**2 wrt a.\nAnswer: 2490*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:29 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-91) - 2245680\/(-52). Suppose 0 = -5*f + 25, -4*o - 4*f + u + 44834 = 0. What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 14698958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/9 + 994*g**4\/9 - 2140*g**3 + 85820*g**2\/9 + 19262*g\/9 - 9646 = 0.\nAnswer: -1, 1, 7, 13, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a factor of 442133905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 229. Let g = -174 + y. Suppose -5*s - 3*z - 3 = -44, 3*z = -4*s + 34. Calculate the remainder when s is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.6? (a) -2\/9 (b) -0.5 (c) -0.04 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -4 + (4 + -4*sqrt(1100) + sqrt(1100))*-1 + 4) + 2)**2.\nAnswer: 900*sqrt(11) + 89125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - 2 - (-13 + 12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.96 times 0.4?\nAnswer: -20.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 360 + 47*z - 83*z + 36*z - 2*z**2 + z**2. Let m(y) = -y. Give p(m(s)).\nAnswer: -s**2 + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*d**3 + d + 0*d**2 + d**3 - d**2 as k*d**2 + j*d**3 + n*d + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-2)\/sqrt(5)*1.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6948910698 to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/3 + n. Let z(r) = 2*r + r - 2*r. What is q(z(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3152118384?\nAnswer: 2, 3, 1753, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*c + 1052*c = 875 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 2 + (4 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-8)\/6) - (-1 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 17*g**2 + 50*g + 4. What are the prime factors of i(17)?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, 2\/255, 1\/14, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from {s: 1, q: 1, u: 1, f: 2, x: 4, o: 6}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 12 + 0)*(-10*a - 5*a**2 + 10*a) + (-1 - 2*a + 1)*(-1 - 3 + 2)*(a - 3*a + a) + 3 - 3 + 2*a**2 as x*a + w + u*a**2 and give u.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*((-11067)\/(-204))\/(-31)*(-8)\/(-130)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10487599 or -10487591?\nAnswer: -10487599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -30, -2, 5, 25 in increasing order.\nAnswer: -30, -2, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -ba98?\nAnswer: ba94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-17 + 1 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a - 2798 = -907 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46303, -92606, -138909, -185212, -231515?\nAnswer: -277818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/24)\/((g*g**(-9))\/g)*(g*g**(-1\/15))\/g*g*(g**(1\/8)\/g)\/g assuming g is positive.\nAnswer: g**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16759641, -33519273, -50278887, -67038477, -83798037, -100557561, -117317043?\nAnswer: -134076477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1930*o**2 - 76*o + 75. What is the tens digit of j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) + (-13559)\/(-28). Suppose -4*f = -1832 + a. Suppose 5*w - 2*l = -0*w + f, -l + 334 = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 40*h**2 + 112*h - 12. Calculate the least common multiple of v(-3) and 255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006549083 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332 at most as big as 0.02124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 2. What is r(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = p. Solve 4 = -l - 3*z - 1, 2*z = 4*l + p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 3*d**2 - d - 2. Let y be h(2). Let a be (15\/(-6) + y)*-2. Sort -1, a, 3 in ascending order.\nAnswer: -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 84.94. Let l = -3.06 - o. Which is smaller: l or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97\/6, 3, -0.08 in increasing order.\nAnswer: -0.08, 3, 97\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17*u**2 - 24*u - 35. Let w(b) = 10*b**2 + 13*b + 18. Calculate 3*g(f) + 5*w(f).\nAnswer: -f**2 - 7*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbdbbbbbbbbbbbbbb. What is prob of sequence db?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 - m + 1. Let c be y(2). Let n be (-1)\/(-1 + 2\/3). Put 5, n, c in increasing order.\nAnswer: c, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 362\/9 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p - p + 10*p + 18*p + 7627*p**3.\nAnswer: 7627*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 12*u - 4*u. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7689, -7691, -7693, -7695?\nAnswer: -7697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24729366, 49458723, 74188080, 98917437?\n\"Answer: 24729357*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247268 is divided by 1255.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and 408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.24927 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796978696 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 19. Let y be c(7). Let n(f) = -f**2 + 9*f - 17. Let u be n(y). Let m = 211\/4 + u. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3121*b**2*d**2 - 423*b**2*d - 9*b**2 + 8*b*d**2 + 9*b - d wrt d?\nAnswer: 6242*b**2 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + -1) - 3 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-1 + 2 - 4). Suppose 307 = 5*i + t*n, -i + 188 = 2*i - 2*n. Is i + (-2)\/7 + 9\/7 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 0 + 12 + 9 = 1, 70*c + f - 206 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442697 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1664 and 27279232.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n + 165*n = -2054 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.351.\nAnswer: 0.1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 40*u - 43. Calculate a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Suppose -l = -y*l + 5. Let j(b) = -2*b - 6. Let k be j(l). Solve k*r + 8 + 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -91. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.5. Let q = -25\/39 - -4\/13. Let m be (1 - -1)\/(8\/3). What is the nearest to q in x, -2, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -4, 30, 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13290\/(-100) + 394 + -261?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v**2 - 147 + 9*v**2 - 124 + 208 to k + o*v + i*v**2 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 - 33*m + 38. Give v(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 2 - 8 = -19629*i - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 5*y**2 + 2*y**2)*(2*y**3 - 3*y**3 + 3*y**3) - 4*y - 25*y + 3*y**5 - 3 + 28*y.\nAnswer: 7*y**5 - y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(9\/(-24)) + 111219\/283. Let n = -42 - -77. Calculate the highest common divisor of x and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-2)*26\/(-52). Sort -5, h, 0, -2 in ascending order.\nAnswer: -5, h, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 17. Suppose 3*s = 56 + p. Suppose -l = -2*o + 61, -5*o + s = 4*l - 101. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 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: Suppose -3*t + 6 - 12 = 0. Let x be (-3 - -1)\/(t*1\/8). Let i be (196\/x)\/7*2. Let d(w) = -w + 3. Determine d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29055 - -2416?\nAnswer: 31471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/(-3)*12\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750431\/(-34335) - 153\/(-3)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Let k = l - -9. Let o = 11 - k. What is the third smallest value in 3, -1\/5, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -0.8, 2\/52213 in decreasing order.\nAnswer: 2\/52213, 0, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 8. Suppose -3*q + h + 14 = -q, 5*q = -5*h + y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4 - 7*l + 5 - 5 - l**2. Let q be w(-8). Let y = 8 - q. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546 times 15.3235?\nAnswer: -23690.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289 - 85. Suppose 6*r - 2*y = 3*r + 225, -5*y + s = 3*r. Let p = r - 44. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*w + 2*w**2 - 13*w + 33*w + 73*w + 4 + 25*w in the form h*w + g*w**2 + z and give h.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (19 + -4 + -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -6)\/(0 - 10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**6\/40 + 3*y**5\/16 + 7*y**4\/16 + 3*y**3\/8 + 32*y. Factor g(t).\nAnswer: 3*t*(t + 1)**2*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1088, -3066, -6354, -10946, -16836?\nAnswer: -24018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 v when three letters picked without replacement from rehvhhbvbhnv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 4*s - 3. Let h be q(4). Let x = -9 - h. Let l be 5\/(x\/4) - -21. Is l equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 22 + 74. Let h = -162\/5 - a. Let g = -88\/105 + 6\/35. What is the closest to h in -2, g, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.14 (c) -3 (d) 168 (e) -0.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3*n + 110, -375*g - 42*n - 131*n = -373*g - 294 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + -2.16. Which is the second biggest value? (a) y (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:10 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18634 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591575?\nAnswer: 3, 5, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2*u - 2. Let g be o(-7). Suppose 3*k - 3*f = g, -6*k = -k - 4*f - 50. Suppose -4*x + k = -6. What is the third biggest value in -1, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123, 257, 391, 525, 659?\n\"Answer: 134*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -109*p - 112. Let s = 138 - 131. Let r(q) = 73*q + 75. Let v(h) = s*r(h) + 5*a(h). What is the derivative of v(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-8 + 9)) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 26900 = 3*a, 3*a - 7*v + 2*v = 26885. Suppose a = 6*o + 17*o. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25984)\/(-2560) - 20\/2. What is the second smallest value in 0.2, -54, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2631*w*z**3 + 4972*w*z**2 + z**3 wrt z?\nAnswer: 15786*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -12. Let r(p) = p**3 - 7*p**2 + 2*p + 10. Calculate the remainder when r(z) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2 - y + 0*y + 12. Let r be a(5). Suppose -7*o + 144 = -101. What is the greatest common divisor of r and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8599 + 50219. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 94*n**3 + 79*n. Let b(h) = -44*h**3 - 40*h. What is -5*b(s) - 3*y(s)?\nAnswer: -62*s**3 - 37*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 78 = -16*v. Let x = -23 - v. Is 2 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1997161.\nAnswer: -1997161, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 31 = -3*m + 9*v, 4*v = -16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 124. Let v be h(-11). Is v\/(42\/(-336) - (-35)\/184) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 smaller than -14.6087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 0. Let a = 7 - s. Are -1\/2 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122012 (base 3) to base 5\nAnswer: -3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v - 9 = 0. Let f = v + 6. Suppose 3*o + f - 21 = 0. Calculate the remainder when 16 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68146197 or -68146192?\nAnswer: -68146192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22118850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*p**3*z + 3*b*p**2*z**2 - 2*b*p*z**3 + 4*b*z + 5133*p**3*z**3 - 2*p**3*z**2 + p**3*z - z**3 wrt z.\nAnswer: -12*b*p + 30798*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -4) + 1 + -4. What is the smallest value in f, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (230\/20)\/(-23)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -262. Let u = i - 57. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -49. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59038004057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 138. Let i(d) = -d - 46. Determine -3*f(y) - 8*i(y).\nAnswer: 2*y - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2))**(41\/2)\/((r**(1\/3)*r)\/(r*r*(r\/((r\/r**5)\/r*r))\/r)))**(-1\/4))**17 assuming r is positive.\nAnswer: r**(1853\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-621)\/3105*4\/64?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/49 + 53\/196. Let g = -35 - -34.44. Let l = 0.06 + g. Put w, 2, l in descending order.\nAnswer: 2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 635 + 2*j**4 - j - 304 - 236 to the form m*j**2 + g*j + v*j**4 + l + w*j**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.6, 2\/19911?\nAnswer: 2\/19911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-80) + 0)*58\/(-203).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266 + -261. Suppose 4*z - h = 56, 3*z = 4*z - b*h + 5. Solve y = -4*y - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2668, -5239, -7810, -10381?\nAnswer: -12952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 4. Let k be 12 + (-3)\/(12\/(-8)). Let q = k - 9. Let p be n(q). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/990)\/(10\/25)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1 - (-440)\/28 - (-10)\/35 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 4542*w**2 + 2*w - 4586*w**2.\nAnswer: -44*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-4 - -3) + 3). List the prime factors of (-4)\/(-1) + 1 + q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 430.882 to the nearest integer.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8162 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13369 - -7286107\/545. Let o(m) = -18*m - 18. Let a be o(-1). Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q + 4. Let w = -17 - -33. Suppose 3*g = -w + 4. Give s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*l - 5*i - 74, 4*i + 12 = 0. Let d = 63 - l. Find the second derivative of 42*k**4 - 27*k + 42*k**d - 103*k**4 wrt k.\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -1. Suppose 6*q - 5*q = x. Let s(a) = -3*a**2 - 6*a + 8. Let h(t) = -t**2 - 2*t + 3. Give q*s(w) - 17*h(w).\nAnswer: -w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*y + 6678 = -221*y + 12*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -173469, -173388, -173307?\n\"Answer: 81*p - 173550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3072 and -103\/8448.\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2*q**3\/3 - 3. Let m(i) = 6*i. What is m(n(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*n + 97*n - 54*n.\nAnswer: 180*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10621 + -10621. Determine u, given that d*u + 6\/13*u**3 + 2\/13*u**4 - 20\/13*u**2 + 0 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15924, 63739, 143446, 255051, 398560?\nAnswer: 573979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -631374.2?\nAnswer: -631387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from pnphnhdhhdhd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 75195217*d + 178*d**2 - 75195217*d. Let g(t) = 30*t. Give g(y(p)).\nAnswer: 5340*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30977700 and 3120.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 623, 935?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1230 + -1813. Let h = v + 586.33. What is h rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:49 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/352 and -53\/176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 - 4*v - 47 + 7*v in the form m*v + b and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 7.653802?\nAnswer: 14.653802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -2. Let c be ((-8)\/o)\/((-1)\/27). What is the greatest common divisor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 397110 and 50376240.\nAnswer: 352633680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3*r + 2. Let d be (-1 - -1) + -1 + 4. Calculate n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 38 - 22)*(1 + 2 - 5)*(-2*i**2 + 3*i - 3*i) + (i + 0 + 0)*(3*i - 4*i + 2*i).\nAnswer: -267*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from nreen?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 10 - 5 = 5*f, -5*j + f = -20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgcccccg. What is prob of picking 4 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-616)\/66*3\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -7*w**2 + 0*w**3 + 0 + 0*w + 0*w**4 - 1\/60*w**5. Let x(p) be the third derivative of -p**5\/20 - p**2. Give x(h(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -2, 0, -7, -5 in ascending order.\nAnswer: -7, -5, -2, 0, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152\/21 + 124\/21. What is the third smallest value in 4\/29, g, 2\/17?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5792179.\nAnswer: 5792179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -189947\nAnswer: -759788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 762779753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17628, -17626, -17624?\nAnswer: -17622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 1, a: 2, i: 1, q: 3}. Give prob of picking 1 a, 1 e, and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2 + 14*c**2 + 6*c - c - 11*c. Let b(j) = 3*j + 6. Let p be b(-4). Let r(w) = -13*w**2 + 6*w + 2. Let s(k) = p*r(k) - 5*i(k). Factor s(x).\nAnswer: 2*(x - 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.7, -0.22, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -11. Let x = h - -35. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 2*c**2 + 2. Let m be u(-2). What is the derivative of 3*j**2 + 4*j**4 - j**m - 2*j**2 + 5 wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50314, 50164, 50016, 49870, 49726?\nAnswer: 49584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -10?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14608220 by -1.\nAnswer: -14608220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -l - 1 - 6, 20*w - 5*l = -8*l + 1377 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjh when three letters picked without replacement from xjsjjshjj?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 518783976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 150 = 2*u, -u = -9 + 6. Let n(l) = l**3 - 36*l**2 - 2*l + 38. Give n(g).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-17)*(-14)\/49?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 4228.\nAnswer: 38052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2516, 5332, 8148, 10964?\n\"Answer: 2816*c - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:20 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -190*r**3 - 14*r**2 + 14*r + 14. Let m(g) = -38*g**3 - 3*g**2 + 3*g + 3. Give -3*f(i) + 14*m(i).\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32 - (20 - 209\/(-19)))*0\/(-2). Let 2*u**2 + 3\/2*u + 1\/8*u**4 + 7\/8*u**3 + z = 0. What is u?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -576*z**2 - 486*z + 1883. Differentiate h(i) with respect to i.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 34*l**2 - 2*l - 31. Let k be y(-17). What are the prime factors of 3*(67 + (-3)\/k) - 5?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 33*r**2 - 31*r**2 - 6*r + 2*r**3 to the form a*r**3 + m*r**2 + s*r + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:23 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.815 - 3088.185. Let b = r + 3091.7609. Round b to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91394*-0.2\nAnswer: 18278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*c + 998, -265*c = 4*t - 261*c - 1004. What is the greatest common divisor of t and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(-1)\/3*-3. Let b = -9 - u. Let m(g) = -g + b*g + 0*g. Let n(o) = -5*o**2. Give n(m(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7200422\/28995 - 1\/9665. Let w = x - -259. Suppose 2*z - 30 = -z. Which is greater: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/14 + 2 - (-43500)\/(-3045)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let q(y) = -y**3 - 3*y**2 - 3*y - 2. Let k be q(-2). Let z be (-2)\/(-4*1)*4. What is the third biggest value in k, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(-1 + sqrt(1377)) + sqrt(1377)) + -4*sqrt(1377)*-2 + -4 + 0 + sqrt(1377))**2.\nAnswer: -12168*sqrt(17) + 931528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 59*p - 83. Let w be t(-30). What is the nearest to -1 in w, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25820 + -10236. Let g = 9784 - f. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13395604 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:10 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -708 + (6\/(-3))\/(14\/(-56)). Is u less than or equal to -4896\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 18*o**2 + 4*o - 1. Let b be i(2). Suppose -19*n - 409*n**2 + 414*n**2 + 180 + b*n = 0. Calculate n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/14 + 2)*7. Suppose 6*x = 2*x + 4*h, 0 = a*x - 2*h - 4. Solve -2*g = 2*m, 3*m + 3 = -x*g - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 3116193 = -1887807. Round l to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2294610.6 milliseconds?\nAnswer: 38.24351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*v - 1487 = -72*v + 3217 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197?\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*h**2 + 636*h**2 + 601*h**2 - 1809*h**2.\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 65960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**3 + 8812*r**2 - r**3 - 8812*r**2.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(56)\/sqrt(7)))\/(sqrt(12)\/sqrt(144)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 20401*h - 21948*h + 99 - 294 + 98.\nAnswer: -1547*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -32869*y**3 - 10*y**2 + 13*y - 14. Let r be 7 - (2 - 1)*1. Let f be d(r). Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-80)\/30)\/((-4)\/6). Let k be (b\/(-6))\/(3\/(-621)). What is the highest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -4)\/((-18)\/(-12)). Factor -5*g + h*g**4 - 4*g**2 - 77*g**3 + g + 81*g**3.\nAnswer: 4*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 6:07 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.5. Suppose -5*f = s + s + 20, 5*s + 33 = -4*f. Which is the biggest value? (a) s (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 21 = 4*v + 5*z, 2*v + 2*z = 46. Solve -6 = 4*m + 10, -4*u - 4*m = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*o - 24 - 15, 0 = -3*i - 9 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 257 - -2bb75?\nAnswer: 2bdcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -41. Let g = j - 13. Let d = -0.123 - 0.077. Put d, 1\/3, -5, g in decreasing order.\nAnswer: g, 1\/3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 0*y**3 + 0*y - 2\/45*y**5 - 8*y**2 + 1\/9*y**4 + 1\/180*y**6. Factor w(n).\nAnswer: 2*n*(n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30147 + 172?\nAnswer: -2aa85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 + 4*o + 2. Calculate l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 16*z**2 - 14*z - 11. Let o be h(15). Let t be 20\/(-22) + o\/2. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382126147 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 11. Let u = 173 - 173.2. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-24)*(-6)\/2. Suppose 2*k = -4*h - 26, -6*h = 4*k - 8*h + 12. Does 10 divide 6\/r + (k - -74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 1, a: 7, h: 2, j: 1, f: 1}. What is prob of sequence hcs?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105065 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose -52 = 2*k - f*x, 5*x - 2 + 0 = -k. Is 4 a factor of 54\/7 - k\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-20))\/(4\/(-10)). Which is the third biggest value? (a) 3 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2043 + 2038. Is 0.093 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 13. Solve 3*h - 18 = g, b = -6*h + h - 2*g + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*w - 54*w - 4*w**3 - 51*w + 13*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3324 and 81\/47090.\nAnswer: 282540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 139\/2. Which is the third biggest value? (a) -2 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 3*q**2 + 20*q - 7. Let t be u(3). Which is the fourth biggest value? (a) t (b) 1\/2 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 4*y - 3. Let d(c) = 20*c**2 - 17*c + 13. What is -2*d(q) - 9*i(q)?\nAnswer: 5*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:53 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 529175290 or -2?\nAnswer: 529175290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5836555\/6 at most -972758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/40 - d**5\/5 + 5*d**4\/8 - d**3 + 5*d**2. Factor t(j).\nAnswer: 3*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2438753718 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 269*b**8\/56 - b**4\/6 + 143*b**2\/2 + 332*b. Find the third derivative of n(i) wrt i.\nAnswer: 32280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316.52 + 5?\nAnswer: -1311.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c = -1311 - 264. Suppose -4*g = -2*l + c - 69, -3*l = -5*g + 4. Solve 0 = 3*d + 15, 3*u + d + l - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76163180 + 9.6\nAnswer: 76163189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -1443\/38. Suppose -27 = -12*w + 9. Let f be (2 + w + -5)\/1. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-15))\/(12 - 11123723\/926978). Let l = t + -4752. Let m be (2 + -3)*1*-2. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-42) - (-1228485)\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2054*m + 5. Let r(b) = 695*b + 1. Give -2*c(x) + 7*r(x).\nAnswer: 757*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/4*106)\/((-84)\/6) and 101\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from oisooososs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168494 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 13\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -196, 0, -3\/5, -3, 2\/8637, 7?\nAnswer: 2\/8637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 5 (c) 149\/110 (d) 0.2 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*5*(-1)\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) -2\/5 (c) 2\/21 (d) 2 (e) -1\/5 (f) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122486 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -10, 29, -2\/7 in increasing order.\nAnswer: -10, -2\/7, 0.1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -69.144940827?\nAnswer: -69.164940827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64439 - 34779. What are the prime factors of n?\nAnswer: 2, 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p + 5. Let h be g(-6). Let k = 7 - h. Let m = k - -24. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -65*f**3 - f**2 - 9*f - 9. Calculate g(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/1947*(-342)\/114?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/10*1)\/(39\/(-12480)). Let g = a - 714. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3453934571 to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (6 - 1)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let o be 1 - (k\/3 - -71). Calculate the common denominator of 399\/o - (-4)\/6 and 11\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l - 62. Determine t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20884778*m**2 + 31472400.\nAnswer: 41769556*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*r**3 + 2234*r**3 - 339*r**3 - 947*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/(z*z**(-2)\/z*z))\/((((z*z**0)\/z)\/z)\/z)**22 assuming z is positive.\nAnswer: z**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/650 and 129\/3114760.\nAnswer: 202459400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 18 + (-50 - (-85 - -56 - 19)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8018*d*u**2*x - d*u**2 - 801*d + 2*u**2*x + u + 55*x wrt u.\nAnswer: 16036*d*x - 2*d + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)\/(-2*sqrt(8)))\/(sqrt(2) + (sqrt(72)*-2 + sqrt(72) - sqrt(72) - sqrt(72)) + -2*sqrt(72)).\nAnswer: -sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-215)\/(-430))\/(6\/10)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 603 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/12 + 13*x**2\/2 + x. What is the remainder when 37 is divided by k(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11091, 44454, 100197, 178434, 279279, 402846?\nAnswer: 549249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {u: 1, z: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 12. Let k(c) be the first derivative of -3*c**2 - 4*c - 22. What are the prime factors of k(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 37833300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654211 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28672208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 1422 = 447. Solve 0 = -k*v + 69*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:32 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 74.3, 16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 6*b + 20. Solve -b*o = -2*r + 4, 0 = 4*o - 4*r - 3 - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-8)\/60)\/(24\/540*-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 59. Let w(d) = d + 20. Let t(m) = 7*w(m) + 2*z(m). Let n be t(-8). Let v be n*1\/124*-2. Is 1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5455, -10936, -16419, -21904, -27391?\n\"Answer: -m**2 - 5478*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6*0.8303.\nAnswer: 2.98908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 5}. Give prob of sequence uuf.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 + 512*g**2 - 65536 = 0.\nAnswer: -16, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 1667 = 909. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 2*c - 14, -2*t - 2*c - 14 = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 263723 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 18*z**2 - 320*z + 5. Give u(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 161, 145, 113, 65, 1?\n\"Answer: -8*k**2 + 8*k + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*a - 6 = -0, -5*a = -5. What is the remainder when ((-498)\/10)\/(o\/10) is divided by (-16)\/10*(-30)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n, -a + 5*n - 3*n = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -283566452 and 0.5.\nAnswer: -283566451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439 + -433. Let v(u) = -u. Give v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (9 - (11 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -287 - -418. Suppose -2*w - i = -0*w - 125, -2*w + i + r = 0. What is the highest common divisor of w and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 2. Let g(y) = 9*y + 4. What is 6*g(s) + 13*p(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 89670.\nAnswer: 1076040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 4*h + 162*a - 167*a, 57*h + 4*a = -400*h - 160 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:11 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2326 - -2330. Suppose k - 19 + 4 = 0. Solve k = f + z*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56839 + 56840.000075. Let z = -1 + u. Round z to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d - 3 + 18*d - 6*d)*(3*d**2 + 8 - 8).\nAnswer: 3*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 7*u**2 - u + 3. Let x be h(-6). Let f = -9 - x. Suppose 2*b - 2*w = -2*b - 2, f = 3*b + 5*w. Solve 5 = -5*y + 5*i, -y - b = i - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2716, -1, 7 in decreasing order.\nAnswer: 2716, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74765098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 10830 = -8*g. Let z = g + -357. Let k(i) = i**2 - 3*i + 4. Give k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-1)*(-20 + -1). Is 66\/4*l\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -1\/4, -3, -275, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45552 by -52.\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 11*c**2 - 13*c - 10. Let i be g(-12). Suppose 0 = -i*v - 15 + 19. Solve 1 = v*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6920143.\nAnswer: 587, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 11*v**2 + 16*v. Give k(8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7512 and 1284552.\nAnswer: 1284552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*y - 30, -3*p = -p + 2*y - 12. Let x(w) = 0*w - p*w + 6 - 4 + 2*w. Let d be x(0). Solve 14 + d = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2670 is divided by 181?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5351*k - 7313*k - 4335*k + 497*k to i*k + a and give i.\nAnswer: -16502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from uuqqquduuqu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178065 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18059 is divided by 215.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -5*d + 111. Let i = d - 104. Let j = i - -55. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170474 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**2 + 29*o - 24. Let y be r(4). Solve 6 = y*x - 299*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1035 - 1031. Solve 15 = 4*s - l*f + f, -3*s + 15 = -3*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 + 6.455. Let h = j + -0.355. Which is the second smallest value? (a) -5 (b) h (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.517384 take away 25701?\nAnswer: -25771.517384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 602409523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6190601 centimeters to millimeters.\nAnswer: 6.190601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8 + 2) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + b)*(7*b**2 - b**2 - 2*b**2) + 0*b**3 - 2*b**3 + 4*b**3 - b**3 + b**3 - b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28445, 28692, 29117, 29732, 30549, 31580, 32837?\nAnswer: 34332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14 - -2)*3\/(-9) and -113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3818735814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.265, -3, 3.\nAnswer: -3, -2, 0.265, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Let z(u) be the first derivative of -5*u**2\/2 + 4. Determine j(z(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2\/15)*g*g))**(-12\/13) assuming g is positive.\nAnswer: g**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1087714, 2175120, 3262526, 4349932, 5437338, 6524744?\n\"Answer: 1087406*j + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -255 + 255. Let x(w) be the third derivative of 1\/30*w**5 - 1\/54*w**4 + 0 - 1\/45*w**6 + 0*w**3 + b*w + 1\/189*w**7 + 5*w**2. Factor x(j).\nAnswer: 2*j*(j - 1)**2*(5*j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52747979?\nAnswer: 1283, 41113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62*(-1 - (-2 - -2)). Let y be (-2)\/(-11) + k\/(-22). What is the highest common divisor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 2, l: 1, c: 10}. What is prob of sequence svc?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, t: 4, a: 1, u: 1}. What is prob of picking 1 u and 2 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43772, 87548, 131324, 175100, 218876?\n\"Answer: 43776*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6004 and -3?\nAnswer: 18012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - q**2)*(2230 - 2656 - 4106) - q + 2*q**2 + q)*(-1 - 3 + 1).\nAnswer: -13602*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 887176 and 688.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = -5*b, -q = 2*b - b - 5. Suppose -f + 2*l + 5 = q*l, 5*f - 13 = -3*l. Solve -r - r = -f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 27 = -3*b + 44, 4*b - 22 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 - 2*z**2 - 2*z + 4. Let b be u(1). Let l(s) = -2*s**3 + 6*s**2 + 14*s - 39. Let w be l(b). Solve -w*g - 5*t - 16 = 0, -g - t - 17 = 3*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 3*n**3 - 2*n + n**4 - 5*n**2 + 2 + 6*n**3 + 0 to the form s*n**2 + z*n + g + d*n**4 + q*n**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 1. Let g be (-3)\/(-2 - (-10)\/8). Suppose -2*l + g = 12. Let v be -1 - -4*l\/(-8). Give q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369109398 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*g - 2*g**2 - 610*g + 436*g + 0*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265462215.\nAnswer: 3, 5, 17697481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**3 - 19*l**2 + 15*l - 58. Let t(a) = -16*a**3 + 10*a**3 + 6*a**2 + 19 + 3*a**3 - 5*a. Let p(q) = 2*o(q) + 7*t(q). Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0223986318 rounded to 5 decimal places?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*o**2*t**2 - 359*o**2*t - o*t**2 - 655*o wrt o?\nAnswer: 32*t**2 - 718*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 6*x - 2*x, 4 = x. Let d = t - -9. Suppose d*b + 36 = 648. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 126*n - 31*n + (2*n - 7*n + 4*n)*(0 - 2 + 5) - 3*n + 0 + 0 in the form z*n + f and give z.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1782, 3672, 5568, 7470, 9378, 11292, 13212?\nAnswer: 15138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b + 360. Calculate the remainder when x(25) is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -i - 4*h - 8, 0 = -i + 2*h + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 260, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23501 (base 6) to base 16.\nAnswer: d5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, -84, 49 in decreasing order.\nAnswer: 49, 1, -1, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/62451 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28105872, 56211745, 84317618, 112423491, 140529364, 168635237?\nAnswer: 196741110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14877 - -29256. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1 + 3*f - f - 22*f - 2*f. Does 15 divide w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*j - 10, 0 = -44*t + 43*t + j + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(20\/(-3)*6\/(-30)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -958 - 1362. Calculate the remainder when a is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -392 + 392 - 21*k + 140*k to u*k + w and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 44586 = 21324. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-4)\/32*1508. What is the highest common divisor of a and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**2 - 26. Let l(w) = -w**2. Determine d(l(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 124989\nAnswer: 65\/124989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 31*n = -26*n - 22, -l - 18 = -3*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 7*q - 4. Let s be c(6). Let l = -11 - s. Let n = 9 - l. What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116877 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(17) + -3)*3)**2 - ((sqrt(102) + (sqrt(102) - -1*sqrt(102))*-1)\/sqrt(6) + -2).\nAnswer: -89*sqrt(17) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30922, 61840, 92758?\n\"Answer: 30918*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 64 = -5*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 15*n - 19936 = 0. Does 89 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26224\/733 >= 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -20. Let i be 3*(-2 + (-8)\/x + 2). What is the nearest to -2 in -0.1, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 8*j**2 + 9*j - 1. Let a be y(9). Let z be a\/(4*(-3)\/(-84)). Is (-79)\/z + 4\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748557 minus 0.1494?\nAnswer: -748557.1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18 + (-56)\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.43 and 0.0259.\nAnswer: 0.037037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 728. Suppose 3*x + q = 16*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23979 - 23979.1095. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 27*r - 6*r**2 - 5*r**2 - 21*r + 2*r**3 - 4*r to u + d*r + z*r**2 + t*r**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Suppose -2*v - 315 = -347. Suppose 14*l + v*l = 30. Sort l, f, -4, 5 in descending order.\nAnswer: 5, f, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2196 and 68\/2194353.\nAnswer: 8777412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:13 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2572250 or 2?\nAnswer: 2572250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 71*s + 69*s - 18 = 0, o - 3*s - 21 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 33. Let l(n) = -2*n - 7. Give l(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b2 (base 13) to base 2.\nAnswer: 100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*p**2 + 679*p**2 + 367*p**2)*(-4 + 0 + 5) - 4*p**2 + 3*p**2 + 3*p**2 to j + q*p + i*p**2 and give i.\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**2 - 3*q - 8. Calculate the least common multiple of u(-4) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b10 (base 13) in base 3?\nAnswer: -1212210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(22\/(-24))*3\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 + 5*z + 4. Let a = -20 + 23. Let t be h(a). Solve v = 5*k - 3*v - t, v = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, 1, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 13*w**2 - 13*w + 9. Determine k(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35537, -71100, -106663, -142226, -177789, -213352?\n\"Answer: -35563*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 3, 0, 8, 5.\nAnswer: -90, 0, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2222 + 30?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 + 11*d**3 + 4*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9052155l?\nAnswer: 905.2155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105000)\/(-1848) + -57 + (-354)\/110 + 0?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -13 + 40 + -47?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(-2\/11)))\/(g\/g**4))\/((g**(2\/5)*g)\/g)**1 assuming g is positive.\nAnswer: g**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 9)*(0*y + 2*y + y)*(-1 + 5 - 5).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 12*v. Let j be q(12). Let b(u) = u**2 + 5*u + 4. Let p(h) = 2*h**2 + 9*h + 7. Let a(x) = 11*b(x) - 6*p(x). Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 - 5*g. Calculate b(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 1 + g + 2)*((4 + 0 + 0)*(4*g + 3 - 3) + 3*g + 2*g - 2*g) as u + s*g**2 + d*g and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1980 and 5228300?\nAnswer: 47054700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -167. Let m = 356 + q. Suppose -2*t + 3*b = t - 264, -3*t = -4*b - m. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/5 - (-1276)\/(-660). Which is the second smallest value? (a) s (b) -0.285 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 109560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/49*(-5*(-8)\/140 - (-176)\/(-224))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 64*a + 0*a**2 + 32*a - 49. Is t(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 125*k**2 - 2*k + 1 - 4*k + 6*k. Let a = 0 - 1. Let g be i(a). Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7495308km?\nAnswer: 749.5308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44365 - 44365 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6651, 13995, 21339, 28683, 36027, 43371?\nAnswer: 50715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/63*11480\/(-9840).\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -392988*r**6 - 5*r**4 + 6*r**2 - 62696*r wrt r.\nAnswer: -47158560*r**3 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 3*o + 3*o + 22 + 909*o**2 - 31 - 618*o**2 + (2 - 2 + o)*(-2*o + 1 - 1) to the form d*o + x + l*o**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from llxatalxgltxaox.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 16*k + 6. Let y = 31 - 15. Let h be o(y). Let v be 3\/((-9)\/(-57)) - (-18)\/h. Solve v = 5*j - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -122, -10\/51?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 29*c**2 + 55*c + 16. What is the hundreds digit of z(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48422 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1745 + -798. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 13 + 2 + 0*o)*(1 - 1 + 4*o) as n*o**2 + w*o + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42132 (base 5) to base 16\nAnswer: -ae8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + sqrt(126)*-3)\/(5*sqrt(7)*-1) + -4)**2*-6 + 5.\nAnswer: -2707\/25 + 288*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21483*a**3 + 2*a**2 + a + 159911 wrt a?\nAnswer: -64449*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/4)*i)\/((i**12*i*i*i*i)\/i))\/(i**(-14)\/(i*i**(-10)*i*i*i)) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12.4. Let j = w + -2.6. What is the nearest to -11 in j, -2\/9, -1\/10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 358215 and 429.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2048 - 2053 + g**2 - 4*g**2 + g**2. Let b(h) = -22*h**2. Give q(b(u)).\nAnswer: -968*u**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -5) + 109 - 10 - 24\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + n - 3, -2*z - z - 7*n = -25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6)*54\/(-12). Let m(a) = -t*a**3 - 7*a - 3 - 4 + 2*a**3. Let l(z) = -7*z**3 - 5*z - 5. Let w be 3\/(-9) - 0 - 238\/51. Determine w*m(f) + 7*l(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.195419113 to 4 dps.\nAnswer: 0.1954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - 2*z - 3. Let u be h(-4). Let b = u - -41. Let s(c) = 3*c**2 - c - 2. Calculate s(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/9 + -4)*15. Let r(d) = -9*d**3 + 2*d + 5. Let l(o) = -17*o**3 + 5*o + 9. Let y(s) = j*r(s) + 2*l(s). Find the first derivative of y(c) wrt c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -15 - 2*i**3 + 24 + 3*i**3 - 5*i**2 - 2*i. Let n be m(5). Let j = -2\/1491 - 11918\/7455. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(1\/28)\/(((y\/(y*y\/(y**(-14)\/y)))\/y)\/y**(-4\/3)) assuming y is positive.\nAnswer: y**(1313\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1561 and 6202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 1, x: 1, y: 2, q: 1, d: 2}. Give prob of sequence xdq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h. Let d = 1 - h. Let v(s) = 3*s**3 + 2*s - 2. Let p = -26 - -28. Let x(o) = -o**3 - o + 1. Give d*v(f) + p*x(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 4*p + 52 = 0. Sort p, -1, 3, 10.\nAnswer: p, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(0 + -1*sqrt(2448) + 3)*1*4.\nAnswer: -29 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-799))\/(3 - 1). Let p be -2 + ((-643774)\/(-351560) - 14\/77). Let v = m - p. What is the common denominator of -33\/20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5 + 3) - (8 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -b - 14259, 3*n + 6*b = 4*b + 42762. Is n at least 14256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21758573?\nAnswer: 21758573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-2.48.\nAnswer: 22.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 494, 1, -71, 3, 2 in decreasing order.\nAnswer: 494, 3, 2, 1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/13 + (-3028)\/3536 and 73\/6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5875*p - 5854. What is o(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 421 - 0?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*q = -293 + 343, 2*q = 2*b + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 26*x**3 - 3 - 4*x + 6*x - 15*x**3 - x**2 - 13*x**3. Suppose w + w - 4 = 0. What is i(w)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(3\/(-3)))\/10*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -1. Suppose j*q = -q - 3. Let c be (-17)\/3 - (-104)\/26. Is q > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*g = -8 + 35, 9 = 3*q + 3*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 48. Let v be -54 + 63 + d*-1. Solve -3*y - 17 = -5*l + v, 0 = 5*y + 5*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2312\/(-51)*(-132)\/187?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z**2 + 13*z + 3. Let d(a) = 40*a**2 + 38*a + 8. Let y(k) = -4*d(k) + 13*o(k). Calculate y(-4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1817\/4788 + 5\/532. What is the common denominator of n and (-1)\/(-2)*(-693)\/(-121)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3938.0889.\nAnswer: -19690.4445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 3*j + 3, j = -5*l - 10. Let d(p) = p**3 + 5*p**2 + 4*p + 3. Give d(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -10*x - 14. Is 40 a factor of (-18856)\/(-24) + x + 20\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.715 + 966127148.\nAnswer: 966127150.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(3 + -1) + 0. Let k(g) = -1. Let z(x) = x**3 + 4*x**2 + 4*x - 4. Let v(b) = 6*k(b) - z(b). Calculate v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 2. Let q be 2\/((-33)\/9 + 3). Let y = 3 + q. What are the prime factors of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1672\/45? (a) -0.5 (b) -17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 321*m + 642. Let w be f(-2). Solve 3*u + 5 + 9 = w*v, -2*u + 4 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.4474 - -2.4516. Let s = 17.8 - g. Round s to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence effe when four letters picked without replacement from fffefffe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18*p - 163. What is the hundreds digit of q(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irre when four letters picked without replacement from {e: 1, i: 10, j: 3, l: 3, r: 2}?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 132*l - 1796. Give i(-11).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 3)*(-4*n + 3*n + 2*n) + n + 4 - 4 + 1 + 2*n - 1 + (-3 - 1 + 3)*(0 + 0 - n) - n + 2*n - 2*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -23*p**3 - 344*p**2 + 810*p + 131. What is d(-17)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - 2*-1*sqrt(130))\/(-3*sqrt(50)\/sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 185. Solve j*z + 2 + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -36.9736.\nAnswer: -184.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -42*u + 464. Let n be t(8). Is 128 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 33429344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149704556 to the power of 1\/2, to the nearest integer?\nAnswer: 12235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850380 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 16) to base 8\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11100000 (base 2) to base 9\nAnswer: -268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 12*n**2 - 15*n - 26. Let m = 83 - 53. What is the least common multiple of o(-11) and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r = 89*r - 10. Solve 2*b = -r*w + 4, -w + 7 = -14*b + 16*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 9 + 0*u**2 + 7*u**2 - 7*u + 2. Let i be a(-8). Suppose i*v - 8 = -j, -2*j + 1 = v - 5. Solve 2*k - 2*t = -v, 3*k = 4*t + t + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34317 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = 0, 0*g = -5*l + 3*g + 21. Let r = -8 - -41. Suppose 0*t - 17 = -z + t, -l*t - r = -2*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 14*g + 20. Let q be x(11). Let n be 1188\/286 + 2\/q. Find the first derivative of 26*i**4 + 17 + 16 - 22*i**4 + 19*i**n wrt i.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ededeeee. What is prob of sequence edde?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2 - 30527\/(-6909). Let x = w - 4\/47. Factor 5*u**2 + 13\/3*u**3 + 7\/3*u + x + 4\/3*u**4.\nAnswer: (u + 1)**3*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 >= 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from tmrve?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 + 4. Suppose 3*s - 2 = -5*r, -3*r - u = -6. Let i = 2 + s. Let p(n) = -n - 1. Let z(m) = 2*m**3 - m**2 + 4*m + 6. Give i*z(g) + 4*p(g).\nAnswer: 2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9320386, -9320382, -9320374, -9320362, -9320346, -9320326?\n\"Answer: 2*b**2 - 2*b - 9320386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 greater than 501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**4 - 2 + 2 + (4*l - 2*l - l)*(1 - 1 - l**3) + (-4*l**2 + 3*l**2 - 3*l**4 + 2*l**4)*(5 - 4 + 6).\nAnswer: -3*l**4 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1293776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6079 is divided by 94?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 0.1 (c) 0 (d) -0.2 (e) -1422 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 38542 = -4*y, 5*z - 96319 = 3*y - 5*y. Suppose 3*f = -5*m + z, 4*m = 6*m - 8. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7)*(t\/t**3)\/t*t*t**0\/(t\/t**(4\/5)))\/((t**(-1))**(-29)*t**7*t*t**(-2\/15)) assuming t is positive.\nAnswer: t**(-3967\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 8 = 24*a, 5*l - 7*l - 2*a = -0*a - 26 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - m = -2*c - 14, 4*c = 2*m + 8. Suppose -3*a - a = 5*g - 14, -c*g - 4*a + 10 = 0. Let h(l) = -6*l**2 + 5*l**g + 3 - 7. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46783967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 14*r - 255240. Round r to the nearest 100.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19698416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*f + 202 + 38, 192 = 4*p + 5*f. Calculate the greatest common factor of 72 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1121871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 39447749.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15\/2, 0.5, 2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752 divided by -438?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-33)\/11. Let u(w) = -x - 3*w + 0*w + w**3 + 1 + 23*w**3 - 2*w**2. Let y be u(3). Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 + n + 6. What is j(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*1)\/((-6 + 0)\/168). What is the highest common factor of i and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + 205 + -151 - (-1 - -17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, h: 13}. What is prob of picking 4 x?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 46*m + 45*m + 4 = 0, -2*m + 8 = -5*q. What is the second smallest value in -1\/7, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39372 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1938752, 1938579, 1938404, 1938227, 1938048?\n\"Answer: -c**2 - 170*c + 1938923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 94202*q - 2826062. Determine a(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 6) to base 4\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-six fifths of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-31)\/4 - -1). Sort 3, -4, o, 2 in decreasing order.\nAnswer: 3, 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 8*x**2 + 2*x + 17. Calculate z(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 4*n**2 - 65 - 19*n + 25*n + 4*n**3 + 63 to g + k*n + h*n**2 + o*n**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.6 (b) 8 (c) 0.9 (d) 2 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452.33ml in litres?\nAnswer: 3.45233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2. Let b(g) = g - 197. Calculate b(f) - 3*v(f).\nAnswer: f - 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-10)\/24)\/((-560)\/(-84)*-1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1585 = -5*i + i - 3*a, -2*a + 792 = 2*i. Suppose -i*m + 398 = -395*m. List the prime factors of m.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137409735 divided by 5\nAnswer: -27481947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4554.2 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(220) - 2*(sqrt(220) + sqrt(220)*1))\/(sqrt(66)\/(sqrt(48)\/sqrt(288))) + -2.\nAnswer: -7 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 16 = -q - 0, 5*m = -4*q + 64. What is the tens digit of -6*(-12)\/32*q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 - (7 - (14 - -45)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let b(p) = -9*p**2 - 3*p**2 + 1 - p + 9*p**2. Calculate b(m) + 4*l(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 265, 375, 529, 727, 969, 1255?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {k: 2, r: 2, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9359762*f**3*t**2 + 142*f**3*t - 4*f**3 + 7*f**2*t**2 + 121*f**2*t - 6*f*t - 2*t wrt t.\nAnswer: -18719524*f**3 + 14*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w - 5. Let b(l) = -162*l - 48. Let n(q) = -5*b(q) + 48*o(q). Calculate n(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let t(g) = -n*g + g + 5*g - 2. Let c = 4 + -2. Determine t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.1, 22\/3, 6.4, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2 + 10, o + 1 = z. Let i(y) = -38*y + 41. Let v be i(1). Solve -v*x - 2*s + 3 = s, -z*x - 11 = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -110130?\nAnswer: 13215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 4, n: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.29847676334 - 0\nAnswer: -0.29847676334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n**3 - 5*n**2 - 5128*n - 10245. Calculate w(-2).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -3*t**4\/2 - t**3\/2 + 1009*t. Let y(i) = -64*i - 56. Let w(a) = 7*a + 6. Let s(m) = -28*w(m) - 3*y(m). Give p(s(k)).\nAnswer: -288*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 940, 982, 1052, 1150, 1276, 1430?\n\"Answer: 14*j**2 + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -570, -0.5, 2\/7, -2, -2\/3, -1 in decreasing order.\nAnswer: 2\/7, -0.5, -2\/3, -1, -2, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083 divided by -23817?\nAnswer: 361\/7939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*z**2 + 2330*z + 10775 = 0. Calculate z.\nAnswer: -431\/7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. What is the third derivative of 2*k**2 + 3*k**4 - r*k**4 + 3*k**4 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5388.897 - 5386. What is z rounded to 2 dps?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tlllltlltltlltllltt.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26825, 107345, 241541, 429413, 670961, 966185, 1315085?\n\"Answer: 26838*v**2 + 6*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149592584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70669, 65766, 60865, 55966?\nAnswer: 51069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 0.004 (b) 2\/13 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29649370 by -10102.\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 2, q: 5}. Give prob of sequence hh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22607 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/88425?\nAnswer: -2\/88425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let v(p) be the third derivative of p**5\/20 - p**3\/3 - 4*p**2. Let w(x) be the first derivative of v(x). Give c(w(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t + 29. Let q be z(-4). Let p = q + -229\/7. Which is smaller: 156 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4508 minus -117885136?\nAnswer: 117880628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7290 and 10324800.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 262647 divided by 2653?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2085261337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2007*j**3 + j**2 - 3*j + 4. Let h(c) = -c**2 + 3*c - 4. Calculate 3*h(i) + 3*r(i).\nAnswer: -6021*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*v + 29*v + 1794 = 0. Let l be (-10)\/6*(-1 - 2). Solve 0 = -l*m - 8 + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/24 - a**2. Let g(b) = -b + 9. Let m be g(11). Let i = 3 - m. Give u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/10359956 or -1?\nAnswer: 3\/10359956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 + 44 = 3*f. Let t be 2\/13 - (6\/39 + -1). Suppose -t + 49 = 4*n. Calculate the greatest common divisor of n and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72552\/91 at least -797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.28 and -18847007902.3.\nAnswer: -18847007902.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1561*z - 54504. Calculate r(-35).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.063, -0.5, 2\/89, -3, 2?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6360 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 112, 273, 510, 829, 1236, 1737?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 + 1628*f**3 - 95640*f**2 - 16569088*f + 246399104 = 0.\nAnswer: -79, 14, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991567200?\nAnswer: 2, 3, 5, 13, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 34 (b) -6 (c) 3 (d) -0.33 (e) -5 (f) 4 (g) 2.76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:18 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -615428.\nAnswer: -615428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*v - 760. Suppose 94*o = v*o. Let w = 0.05 + 0.35. Is o bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 12*i**2 + 5. Let u be t(-12). Suppose -u*m = -1057 - 218. Let v = m - 150. Calculate the greatest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/4 + 77377*n\/2 - 5987200129\/4 = 0.\nAnswer: 77377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8925.24677 rounded to 1 dp?\nAnswer: 8925.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 2*g**2 + 1\/6*g**3 + 3\/40*g**6 + 0*g - 1\/30*g**5 + 1\/12*g**4 + 0. Is a(2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61039\/(-35979) + 5\/3?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + -2 + (-3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (72\/20)\/(2\/10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34506, 34347, 34188, 34029?\nAnswer: 33870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let f be x(-2). Find the second derivative of 60 + 2*k**3 - f*k**3 - 60 + 4*k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1284 + 6422\/5. Is y smaller than 20.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -68 (c) 0 (d) -2\/193\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164714584 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-2)\/36). Let j = q + -17\/2. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 72 = -5*n + 18*n, -4*n + 5*w - 92 = 31 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626 is divided by 800.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 21932181*a**2 + a**3 - 2*a**3 + 21932188*a**2 + 100 to the form d*a**2 + m*a + t*a**3 + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 4*n - n**3)*(2 + 3 - 4) - 7*n**3 - 4*n**2 + 4*n**2 in the form u*n**2 + q*n**3 + k*n + z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -1643, -6085, -14775, -29129, -50563, -80493, -120335?\n\"Answer: -236*g**3 + 42*g + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-49.3643.\nAnswer: -9.87286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 3, -27066, 7.\nAnswer: -27066, -11, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/51 and 19\/5?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29401?\nAnswer: 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256128880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Let q = 201.11 - 202. Let t = q + 1.19. Which is the fourth biggest value? (a) k (b) -0.04 (c) 1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*17.81.\nAnswer: 8.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1110010111100 (base 2) to base 3\nAnswer: 101002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257*t - 932 = 636 + 1544 - 598 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 1}. Give prob of picking 2 w and 1 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306442076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 88*v\/5 + 968\/5.\nAnswer: 2*(v + 22)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14.517 and -29?\nAnswer: 14.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/60 + 11*b**4\/12 - 8*b**3\/3 + 5*b**2 + 4*b. What is the derivative of s(j) wrt j?\nAnswer: 2*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x + 2*x. Let v be x\/(-2) - 6\/(-12). Suppose 8*p - v*p - 2*r - 92 = 0, 19 = p - r. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*g + 25, 4*g = -5*i - 3 - 7. Let y be 16\/6 + 4\/(-6). Solve -i = -4*z + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 0, -0.13, -21, -0.25 in increasing order.\nAnswer: -21, -0.25, -0.13, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1977 + -1954. Calculate the remainder when 268 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -124*j - 1421. What are the prime factors of p(-71)?\nAnswer: 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (-1*sqrt(1900) - sqrt(1900)) + -2) - (4 + 3*(sqrt(76) + sqrt(76) + -2*(sqrt(76) + -2 - sqrt(76)))).\nAnswer: -4 + 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12006.3 + -12006. Suppose -n = -2*z + 3, -5*n + 0*n - 4*z = -13. Let m be (3 - 2 - 3)*n. Which is the closest to 1? (a) m (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*d + 35*d - 8. Let p(b) = -2*b**3 - 3*b**2 - 2*b - 3. Let m be p(-2). Solve d*y + m = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 5 = -4*m, 2*h = -5*m - 3. Let d be -3*h\/(-1 - 0). Sort 1, -4, d.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12\/414 + 282\/69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-88 - (1 + -4 - (-14 + 24))) - 13?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -18. Let y = -22.59 + j. Let i = y - 2.8. Round i to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 - 0.22. Let f = o - 0.1300089. What is f rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 4:43 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 238366, 238426, 238486, 238546?\n\"Answer: 60*f + 238306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(3*10\/(-540)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**3 + 53*v**3 + 64*v**3 + 48*v**3 - 208*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.370254 to 1 decimal place.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 3*d - 9, -5*d + 15 = 5*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125884 is divided by 123625.\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-40))\/((10\/(-4))\/(-5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 - 6)*((-4*t**2 + 3*t**2 + 3*t**2)*(0*t - 2*t**2 + 0*t) + t - t - 2*t**4).\nAnswer: -78*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*sqrt(153)*2*6)\/(sqrt(72)\/(sqrt(8) - (-2*sqrt(88))\/sqrt(11))))**2.\nAnswer: 1652400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:53 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcy when three letters picked without replacement from rykuukc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -1\/12*d**4 + d - 9\/2*d**2 + 0 + 4\/3*d**3. Let l be m(6). Solve 1 = z + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, z: 4}. What is prob of sequence tkz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 50. Let c(n) = -11*n + 34. Let q be c(5). Is m(q) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(2 + 1 + sqrt(99)) + -4.\nAnswer: 9 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91058 is divided by 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w + 9*w - 4 - 1.\nAnswer: 24*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d40 - 45b?\nAnswer: 78d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -19.5. Let m = 0.54 + 0.06. Let y = m + r. Which is the second biggest value? (a) 2\/7 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126068135161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*v = 531 + 531, -636 = -3*c - 3*v. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.112 times -2273\nAnswer: 254.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2. Let s(q) = q**3 + 4*q. Let k(g) = -5*o(g) + s(g). Factor k(u).\nAnswer: u*(u + 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -2\/1169, -19, 1?\nAnswer: -2\/1169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001110 + -1100000011?\nAnswer: -10000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1605017*12.1.\nAnswer: -19420705.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*4*-5 + 13 + -10. Suppose -4*y - k + p = -2, 2*y - k = 45. Suppose 4*h = 16, 5*w = 3*h + 12 + 11. What is the remainder when y is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 - 53*o**3 - 295*o**2 + 2727474*o + 2 wrt o.\nAnswer: 24*o**2 - 318*o - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose 3*k + 6 = -k - 5*g, -g - 2 = u. Find the first derivative of 2*v**4 - 4*v**4 + 1 + k wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**2 - 26*w + 40. Determine x(6).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -142 (b) -0.1 (c) 4342 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v + 15 = -90*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -302*a + 255*a + 752 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.52 (b) -2\/7 (c) -0.45 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*d**2*p*x + d**2*p - d**2*x + 13469*d**2 - 2*d*p*x - 2*d*p + 544819*p*x - 41 wrt d.\nAnswer: 64*p*x + 2*p - 2*x + 26938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 38 = 173. Let m = 26 + v. Let t be m\/(-5) - (-48)\/(-120). What is the biggest value in -8, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 11*q - 25. What is the units digit of i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = -8, 5*q - 5*j + 15 = 0. Let k be q\/((-10)\/24) + 2. Let s = -22 - -25. Solve n - 3*f = f - 9, s*n = -f - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1906 + -1886. Solve c*l + 42 = -78 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8326)\/(-14) + 5\/(140\/8). Suppose 287 + x = 14*i. Let r = -27 - -48. Calculate the highest common divisor of r and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 577 + -572. What is the second derivative of 2698*i**3 - 2651*i**3 - 76*i + i**f - i**2 - 16*i + i**2 wrt i?\nAnswer: 20*i**3 + 282*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 11*l**2 - 28*l - 2. Is r(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7802900 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135723.1 + 2664865.9. Let f = a - 2800651.99985. Let q = 63 + f. What is q rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 545689 and 17371?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.602286kg?\nAnswer: 1602286000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*p + 0 + 0 = 190*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*m - s + 2*s, -5*m - s + 24 + 22 = -0*s + 48 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 7*r - 13. Give i(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-590)\/(-1180))\/((((-6)\/(-8))\/3*25)\/1).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13662, -27033, -40406, -53781, -67158, -80537, -93918?\nAnswer: -107301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 e, and 1 o when four letters picked without replacement from oeoexoooooouooxuooxo?\nAnswer: 26\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31934377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-88)\/20*(3 + (-63)\/14) and 55\/917.\nAnswer: 4585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167420132 divided by 5191.\nAnswer: 32252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpmdtmtmm. What is prob of picking 1 d and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i + 12. Let t = -10 + 14. Let h = 5 - t. What is the smallest value in -0.2, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -5.03. Let b = -7 + m. Put 2, -1\/9, b in decreasing order.\nAnswer: 2, -1\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -55, -42, 9, 110, 273, 510?\n\"Answer: 2*p**3 + p**2 - 30*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27035759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + i - 98, 0 = -4*a - 3*i - 0*i + 74. Calculate the remainder when (5 - 1 - 10) + 44 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.09091 times 1381\nAnswer: 1506.54671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8341565?\nAnswer: 5, 1668313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqdodddwowddqdqwddd. Give prob of sequence oq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.964 + -0.036. Let j be (-4)\/(-14)*((-508)\/80 - -6). What is the closest to 1\/4 in i, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.881 - 0.019. Let d = 4.7 + -6. Let f = w - d. Which is the closest to 0? (a) f (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 38461608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*c + 159 = 4*c, 3*x - 2*c + 473 = 0. Let z = x - -1257\/8. Let k(v) = v. Let h be k(-2). What is the smallest value in h, z, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 1. Let h(o) = -36*o**2 + 3*o + 6. Let a(n) = -h(n) - 3*w(n). Suppose -4*f + 14 = 3*g, 3*g - 93*f = -88*f - 31. List the prime factors of a(g).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-2 - 0)\/(-2). Suppose 3*m - 24 + 10 = -4*r, 4*m - 14 = -3*r. Let -3 + 7*y + x*y**r + 0 - 3 - 10*y = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {e: 2, r: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/(-144) + 7476\/(-16821) - (-2)\/4?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.79829 kilometers to micrometers.\nAnswer: 95798290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from xxxxxxwwwxxxxxxxxxxx.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20209824 and 1104.\nAnswer: 20209824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - -3 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-143)\/3146)\/((-2)\/(-4))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3759932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71272023265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405)*1 - (-1 + sqrt(405)*-2))**2 + -3.\nAnswer: 54*sqrt(5) + 3643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 75 = -39*q. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6303434 centuries?\nAnswer: 0.06303434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (277 - 341) + (21 - -37)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 9. Let c be m(9). Let p be (2 - -1) + (0 - -1). Suppose p*k = k + 45. Solve 3*r + 3*f = c, 3*f + k = -2*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/28)\/((2\/8)\/((-24)\/(-1152)*-84))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213 and 98193?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7\/(-21)*-3*0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 - 3*n + 3. Let b be s(-3). Let w be b - (0 + 2 + 1). Suppose w = 3*m - 7 - 14. Solve -m*v = -3*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2318642350 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*k - 2, -2*z + 3*k - 39 + 41 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/31 or 26\/7?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1) + 0 + 6. Let a(q) = 4*q + 5. Let n be a(f). Let r = n - 22. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 4*w - 6, -s = w + 4. Sort -40, s, 3 in descending order.\nAnswer: 3, s, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28771 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10036?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*g**2 - 2156*g + 1080.\nAnswer: -4*(g + 270)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35608 is divided by 8808?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3, -1, 9, -2, -9 in decreasing order.\nAnswer: 51, 9, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*v**2 - 82*v - 1352 wrt v.\nAnswer: -36*v - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75408 is divided by 25129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 337517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 5*m**2 + 8*m - 9. What is the tens digit of u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 184 = 42*y. Which is the smallest value? (a) y (b) 210 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -487 + 2433\/5. Let h be (-1)\/3*12\/(-20). Let o(t) = t**2 - 5*t + 6. Let l be o(5). Which is the second smallest value? (a) h (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 186.\nAnswer: -50\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/17)*x)\/x)**24 assuming x is positive.\nAnswer: x**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:30 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - x + 1. Let v be m(1). Let s = 5 - 3. Sort 3, v, s in descending order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 + 2*w - 6. Let x be l(5). Suppose -x*i - j = 0, -3*i - 2*i = 5*j. Suppose 0 = -5*v + 4*v. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1805*p**2 + 1106475*p - 6130.\nAnswer: -5*(p - 613)*(361*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 2*o**3\/3 + 50*o**2 - 21*o + 21. Calculate w(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12981 - 12982 - 45*a**2 - 359*a - 18*a**2.\nAnswer: -63*a**2 - 359*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66269 (base 15) in base 11?\nAnswer: 201925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 + 41*u + 170. Determine g(-5).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5265281m in millimeters?\nAnswer: 526.5281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1903 and -580598.\nAnswer: 1104877994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14032 + 19607. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7403427 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1735*u**5 - 2*u**4 - 1539*u + 1 wrt u?\nAnswer: -34700*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let z(o) = o**2 + 3*o + 35. Let j(r) = -3*r**2 - 8*r - 104. Let s(u) = 3*j(u) + 8*z(u). Let w(h) be the first derivative of s(h). Give n(w(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 5:11 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*y - 385*y = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -506426, -1012868, -1519310?\n\"Answer: -506442*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2\/5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by ((-45)\/(-30))\/((-338)\/172 + 2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 7*f - 3*f. Suppose f = 33*a - 26*a - 7. What are the prime factors of (-7 - -3) + (155 + 0 - a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2874)\/(-1302) + (-22)\/341)\/(15\/175).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -75 + 242 - 84 - 83 + 5*z**2. Let a(f) = -140*f**2. Calculate m(a(d)).\nAnswer: 98000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/13, -5, 2\/5, 0, 5\/9, 84?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7425)\/150)\/((-6)\/(-8)). Is -70 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 13 - 14898\/(-27)) + -1. Let k = 555 - j. What is the smallest value in 22, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 825114678.\nAnswer: 825114677.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**2 - 43*r - 5. Let i(v) = -15*v**2 - 94*v - 10. Let c(g) = -6*i(g) + 13*x(g). Let j(n) = -42*n**2 + 14*n - 14. What is 14*c(s) - 5*j(s)?\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let m = 4 + -4. Let o = -0.3 - m. What is the nearest to -1 in -2\/5, g, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430752043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-476)\/35 - -11)\/((-8)\/(-40)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613029 is divided by 610400.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65499 and 2?\nAnswer: -130998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/70 - r**6\/5 + 27*r**5\/25 - 29*r**4\/10 + 43*r**3\/10 - 18*r**2\/5 - 100*r. Factor o(i).\nAnswer: 3*(i - 4)*(i - 3)*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 4, -137, -399 in decreasing order.\nAnswer: 11, 4, 1, -137, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from dynddqatnddatdd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24718 or -24717?\nAnswer: -24717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 + 1 - 19 + 18.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 + 4339968*y + 1569610186752 = 0.\nAnswer: -723328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.109 + 1.16. Let l = -0.015 + o. Let u = -0.336 + l. What is u rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7146*c + 5*d = 7147*c + 27, 2*d = 3*c + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/26*(45\/9)\/(-5)*2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52495 is divided by 6554?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 56, 81, 126, 197?\n\"Answer: y**3 + y**2 + y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 288 = 146. Let y = 223 + d. Let q(c) be the third derivative of -c**5\/60 + c**4\/6 + c**3\/6 - 5*c**2. Calculate q(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 722*s - 2153. What is q(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -91, -5, -4, 2 in ascending order.\nAnswer: -91, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11001100 (base 2) to base 7\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**5\/15 - d**4\/8 + 5*d**2\/2 + 3. Let f(h) be the second derivative of o(h). Find the second derivative of f(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(972)\/sqrt(6) - (sqrt(70)\/sqrt(7))\/sqrt(5) - (sqrt(16)\/(4*sqrt(8)) - (3 + 4 + sqrt(2)))) + -4.\nAnswer: -33*sqrt(2)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0196 - 106263.83354\nAnswer: -106263.85314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-126))\/(1\/18). Solve k*c = 2*n - 10, 5*c = 2*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 928 divide 960480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1242 + 621 - 662*y**2 + 624 to u + r*y + p*y**2 and give p.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037605 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.5158 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2120 (base 7) to base 10\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 m, and 1 e when four letters picked without replacement from ppmmmppeflpppppef?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203521808 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477586149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) -0.2 (c) 2 (d) 5.448 (e) 0 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15949337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 5 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 6*o - 2*o)*(3 - 3 - 3*o)*(-2 + 1 - 1)*(41*o - 3*o - 222*o).\nAnswer: -7728*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73327698.\nAnswer: 2, 3, 17, 239633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (17 + -25 - (-21 - 1))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911 = -1309*p + 1236*p - 38 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - 13*t**4\/4 - 38*t**3\/3 - 43*t**2\/2 + 37*t + 1. What is the units digit of p(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27382370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2192 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 84708236*i\/7 - 896935655778962\/7.\nAnswer: -2*(i + 21177059)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(2\/4). Let m = -151\/1084 + -30\/271. Which is the biggest value? (a) 1\/4 (b) 1\/5 (c) j (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2083 + -2082. Calculate the smallest common multiple of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1164, -1150, -1138, -1128, -1120, -1114?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1591, 5 in decreasing order.\nAnswer: 5, 0, -1591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/175 - -78\/175. Let k = -2 - -2. What is the second biggest value in k, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2. Let c(o) = 9*o**2. Let f(n) = -15*n - 2. Let m be f(1). Let r(a) = -4*a**2 + 4*a**2 + 3*a**2. Let v(d) = m*r(d) + 6*c(d). Determine y(v(k)).\nAnswer: -54*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7476310 + 7476310.150000376. Let f = 0.15 - y. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 - (-29 - -1). Let b(z) = -17700*z + 177195. Let a be b(10). Calculate the highest common factor of l and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 0.1 (b) 72\/5 (c) -9\/4 (d) -0.03 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60518485, -60518484, -60518483, -60518482?\nAnswer: -60518481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 14 + 0 + -2. Suppose -3*l - 3*z = -4*l + i, 2*l + 6 = -4*z. Suppose -35 = -l*h + 5*u - 1, -h = -2*u - 13. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/6*6\/21. Which is greater: q or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + 1*((sqrt(684) + 0)**2 - sqrt(19)*2*-2).\nAnswer: 4*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 58642080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*d = 333, 4*y - 5*d - 696 = -d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 1.7. Let w = 0.1 + -0.1. What is the closest to -1\/4 in -3\/4, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4047 + 14343 = 6*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = p - 29, h = 1. Let m be 4\/p + 550\/143. Find the first derivative of -3*j**2 + 0 - m + 6*j**2 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1280.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:52 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 343828555 divided by 5\nAnswer: 68765711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + d - 12 = 0, -w = -d - 3*d + 3. Let i be 1*-4*w\/12 - -4. Solve -i*n + 2 = -13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 114850, 229711, 344572, 459433, 574294?\n\"Answer: 114861*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -11. Let t be -1 - g - (-5)\/25. Let o = 0.03 - 5.03. What is the nearest to 4 in o, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 25 + -19 + -28.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 5719*d**2\/2 - 8582*d - 5722.\nAnswer: (d - 5722)*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2397372.\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246216214*d*u**2 - 5*u**2 + 2470*u + 1931 wrt d?\nAnswer: 246216214*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a8617 - 34?\nAnswer: 2a8593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 29 + (9 - 20).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4))**15\/(u*u**3)**(3\/28) assuming u is positive.\nAnswer: u**(522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b - 1. Let c be n(5). Let p be 1 - -2 - (2 + c). Suppose m = 10 - p. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2254 = -17*p + 21852. What are the prime factors of p?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198738459*p**3 + 652346318*p**2 - p?\nAnswer: 1192430754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/3 (b) 2\/11 (c) -1 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(-2 + ((sqrt(330)*2)\/sqrt(6) - sqrt(55))\/(2*sqrt(320))))**2 + -5.\nAnswer: -45*sqrt(11)\/4 + 45295\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101030 + 2001?\nAnswer: -33023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1665*p - 138072 + 138072)*(-1 + 2 + 1)*(0 - 6 + 5) to b*p + o and give b.\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 191 + 37. Let j = -23 - d. What is the first derivative of j*h**2 - 468 + 432 - 14*h**2 wrt h?\nAnswer: 78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 29*z**6\/120 - z**5\/60 + 7*z**3\/3 - 7*z**2. Find the third derivative of j(c) wrt c.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3672\/(-32))\/(-27))\/(1\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509133693*j**6 - 57*j**2 + 141931*j + 7 wrt j.\nAnswer: 61096043160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18\/20*(-201)\/603\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -237 - 72*f**2 + 12*f - 15*f**4 + 237 + 63*f**3.\nAnswer: -3*f*(f - 2)**2*(5*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Suppose k - a*y = 7, 3*k + y + 0*y + 5 = 0. Let r(g) = -2*g + 1 + g**2 + 6*g + 6*g**3 - 3*g. Give r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12634 + 12638. Let h(x) = 10*x - 8. Let l be h(6). Calculate the greatest common divisor of t and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3156, -6623, -10716, -15759, -22076, -29991?\nAnswer: -39828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 - -413.83. Let z = h + -1.8. Let x = -9 - -5. Sort -2\/9, x, z in descending order.\nAnswer: z, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16854700 to the nearest 100000.\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63052.65 nanograms in kilograms?\nAnswer: 0.00000006305265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r - 15 = 0. Suppose -i = i + n - 41, 0 = -n + 3. Suppose i = 3*j - r. Solve j = 4*b - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7875895137 to 3 decimal places.\nAnswer: 0.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**2 - 532856*i - 428844800 = 0?\nAnswer: -800, 134014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3433 - 0.0103. Let d = -4.2596 - n. Let q = d + -0.094. Which is bigger: 0.2 or q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c + 110 - 2742*c**2 + 4*c + 9*c + 8*c wrt c.\nAnswer: -5484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 1540*j + 1541*j - 4615*j + 1541*j + 52 as f*j**2 + v + a*j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 1b?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36289*f = 36191*f - 2254 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 8*v**2 + 11*v - 8. Let q be y(8). What is the greatest common factor of q and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-486*78\/(-13689))\/(3\/52)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose -4*j + 3*b - 4 = -b, 3*j - 2 = 2*b. Suppose -5*x = 2*r - 33, l = -2*r + j*x - 14 + 2. Put r, 2\/3, 1\/2 in decreasing order.\nAnswer: r, 2\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177 + 7*v + 186 + 176 - 525 as t + z*v and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*u**3 + u**4 + 51*u**2 + 7*u**2 - 2*u**4 - 31*u**3 wrt u.\nAnswer: -24*u - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1010110?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c517 (base 14) to base 10.\nAnswer: -33929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12571 and 104.\nAnswer: 100568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 1\/2. Let g be (4\/(-6))\/((-150)\/1575). Suppose g*p + p + 96 = t. Is -11 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let s = -0.1 - 0. Let u = 0.3 + -0.4. What is the nearest to u in f, 4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6440507230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*p + 181 - 587. Let g be (-6)\/p + 0 + 3484\/28. Calculate the greatest common factor of 31 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 9. Suppose -m*i + 12 = 2. What is the first derivative of -2 + 5 + i*r**4 + 12*r**3 - 12*r**3 wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.282 + -1.418. What is the closest to -0.2 in 0.4, 4, -1\/2, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37645431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*h + 355*h = 4*i + 36, 3*h = -3*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-440)*15\/2. Suppose -15 = -w + 3*t, -2*t = 5*w + 3 + 7. Factor k**2 + w*k**4 + 0*k + g*k**3 + 0 - 1\/2*k**5.\nAnswer: -k**2*(k - 2)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 259853089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12.3. Let l be -3 + (296\/96 - 1\/(-6)). What is the closest to 0 in m, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3722 + -3332. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from hkkkikrihiskhshrkh?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 6*v + 23. Suppose 5*a + v*h - 55 = 0, -3*a + 2*h + 11 = -2. Solve -17 = -a*z + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17596237201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -142, -202, -262?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -143869508387 and -379.\nAnswer: -143869508766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9*i - 84. Let b be 4\/i - 1199\/(-7) - 0. Find the first derivative of 158*c + 0 - b*c + 1 + 6 wrt c.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 12. Let r(g) = -2*g - 26. Let j(w) = -13*h(w) + 6*r(w). Let z(f) = 174*f**2. Determine z(j(o)).\nAnswer: 174*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3423, -3408, -3391, -3372, -3351?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyp when three letters picked without replacement from yyonpiqynnnyonpnnqno?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + h = -q, 4*q - h = 0. Let g be q\/(-2 + 3)*1. Does 16 divide (33 - 0\/2) + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2313.\nAnswer: -1\/2313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -3, -59\/4, 0.13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3249)\/7581)\/(66\/(-28)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 12*a - 12. Suppose -157 - 38 = 15*k. What is o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1510*k**4 - 324*k**3*r - 5*k**3 - 713*k**2 + 5709*r wrt k.\nAnswer: 36240*k - 1944*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 15.1 (b) 0.2 (c) -2\/3 (d) 2\/15 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Let k(s) = -4*s**2 + y*s**2 - s**2. Let f(z) = 155*z + 45. Let w(b) = -7*b - 2. Let q(t) = -2*f(t) - 45*w(t). Calculate q(k(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 2465*c**2 + 77856*c.\nAnswer: c*(c - 2433)*(c - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 9. Determine f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7533*b + 2907939 - 2907939 as w*b + m and give w.\nAnswer: -7533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3822.000001569 - -3822. What is f rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - (-1 - (-8 - -4)). Let s(a) = -a**2 - 12*a - 8. What is the remainder when s(q) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2 + 1 + n**2 - 10*n - 4 - n. Let d(f) = -f. Let h = 1 - 2. Let p(u) = h*y(u) + 5*d(u). Calculate p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u + 2*g - 56, u + g - 18 = 0. Solve -8*a + 3*a + u = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 9 - 3. What is the common denominator of -3\/16 and t\/24 - (3 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t = 51*t - 48 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991206343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -607502.3 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 13*j**2 + 10*j + 15. Let v = 9 + -19. Is w(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -17*w**4\/12 - 4*w**2 - 50*w. Let y(j) = 12*j**2 + 5. Let c(l) = -5*i(l) - 8*y(l). Let q(u) = -2*u. Determine c(q(h)).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txu when three letters picked without replacement from uxxuhthttxxuhut?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1454*k**3 + 25*k - 955579 with respect to k.\nAnswer: -4362*k**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1157, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s)**(-12)*(s*s*s*(s\/(s\/(s*s**(1\/5))))\/s)\/s**(-3))**36)**25 assuming s is positive.\nAnswer: s**5580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let u be 3 - ((1 - 3) + a). Find the third derivative of v**5 + v**5 + v**2 - v**2 - 2*v**u wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u = 381*i - 383*i + 132, -20 = 2*u - 2*i for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 + 2 - 12 - 2 - x - x**4 to w + m*x**2 + k*x**4 + t*x**3 + g*x and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:18 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396)*2.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1286*(-5)\/(-70) - 1\/(-7). Suppose 0 = 2*o + l - 46, 0*o - 4*o + 5*l + q = 0. Let y = o + -19. Solve y*n + 1 = -3*r + 6, 5*n + 20 = 5*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-6))*z*z*z\/z**4)\/(z**4)**(-10) assuming z is positive.\nAnswer: z**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/13525 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*g - 16*g + 34*g. Solve -g*m + 5 = -5*p, -9 + 4 = m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, 199\/4, -1, -0.1, 1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2322 - -2353. Calculate the remainder when 43 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273879593441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.962 - 0.038. Which is the nearest to n? (a) 0.1 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4931 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3390)\/(-14125)*10\/6*5\/(-66)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*h - 3. Let b = -5 + h. Suppose 16 = -b*x + 6*x. Solve -x*r + 2*r - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 24. Let h be r(-23). Which is the biggest value? (a) -6 (b) 3\/2 (c) 5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 9741496*i + 5931046519876.\nAnswer: 4*(i + 1217687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3902\/5 - (7 + 132\/(-20)). Let k be 3\/15 - (-38)\/10. Suppose 0 = n + k*n - o. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -28*j. Does 48 divide x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*l - 17*l - 1209*l - 1209*l + 35322 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 303.24 and -204.\nAnswer: 99.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - 191964 - 196905 = -23895. List the prime factors of y.\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -5 - (-178)\/((-6)\/6). Is -0.1 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9441137 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.067367, -0.06, 3, 122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843a1 (base 13) in base 16?\nAnswer: 94bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2943 + 2947. Let l(z) = z**3 - 2*z**2 - 10*z + 9. Determine l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180322282*o**5 - 91*o**2 + o + 47149?\nAnswer: -10819336920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 19. What is the second derivative of -14*k**3 + g*k**3 + 0*k**3 + 9*k + 9*k wrt k?\nAnswer: -60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224444 (base 5) in base 2?\nAnswer: -1111110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:53 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148 divided by 1716?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -u + 86 + 72, -5*u + 706 = 4*r. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141810 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 9. Solve -3*t = -6 + a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60, -254, -584, -1056, -1676, -2450, -3384?\n\"Answer: -m**3 - 62*m**2 - m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**2 - 8. Let b(v) = -9*v**2 - 15. Determine 3*b(x) - 5*c(x).\nAnswer: -2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-60)*1195\/(-717).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q + 4*q)*(-q**3 + q**3 - 2*q**3) - 6*q**3 + 6*q**3 - q**4 + q**2.\nAnswer: -13*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -21. Suppose n = -3*u, 18*u - 2*n = 15*u + 9. Let l be ((-3 - a) + -1)*u. Solve 0 = h - 2 + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -4 + (6 - -18) - 2. Let l be -2 - ((-4)\/x - 30\/27). Which is the closest to -5? (a) 2 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2*j**2 + 0*j**2)*((-2*j - 1 + 1)*(4*j - 2*j + j) + 20*j**2 - 15*j**2 - 11*j**2).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + 2*m**2)*(-m + 2*m + 3*m)*(-5 + 3 - 1)*(5*m**2 - 40 + 40).\nAnswer: -120*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - x**5 + 1 + (x**5 - 4*x**5 + x**5)*(0 + 2 - 1) + 282*x**5 + 361*x**5 - 98*x**5.\nAnswer: 542*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5691*o + 107842. Determine k(-19).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2398*u**2\/7 + 7192*u\/7 - 6\/7.\nAnswer: 2*(u + 3)*(1199*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30169731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -28, -38, -46, -52, -56, -58?\n\"Answer: q**2 - 15*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 1:48 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + z - 5*z)*(0*z + 0*z + 4*z + (-3 - 3 + 2)*(-4*z + 2*z + 0*z)).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 12*p = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1810293 and 41.30872?\nAnswer: 1810334.30872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1046 - 1045.9999999142. Round j to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z. Let y(o) = -9785*o + 9782*o + 100*o**2 + 30*o**2. Calculate c(y(u)).\nAnswer: -390*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -322, 50, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1114\/(-46788))\/((-6)\/7)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 minus 1564?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844117, 1688235, 2532353?\nAnswer: 3376471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z = -5. Suppose z*j + 115 = 35. Let i(q) = -34*q**3 + 2*q**2 - 14*q. Let b be i(j). What is b rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2 + 12 - 2*d to j*d + r and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**5\/15 + j**4\/4 + j**3\/9 - j**2\/2 - 2*j\/3 + 1. Factor f(z).\nAnswer: (z - 1)*(z + 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m\/(m\/m**4))**(-8\/5)*(m\/m**5)\/m**4*m**3\/m*m**(4\/5)\/m assuming m is positive.\nAnswer: m**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -1635, -3661, -6497, -10143, -14599?\nAnswer: -19865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101011 + 1010?\nAnswer: 21102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 2 + 7*p.\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7273.\nAnswer: 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -30, -31, -32, -33, -34?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 22*a**2 - 2*a + 3. Is z(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904992794 to the power of 1\/3, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - y**2 - 10*y**2 - y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 31 - 514 = -5*n, -10 = -2*g. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*g - 5, 6*k - 6 = 4*k - 2*g. Let n(y) = -3*y + 2*y + y**3 + 39*y**2 - 6 - 39*y**k. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*c = -16, -51*h = -58*h - 3*c - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - sqrt(1620)*-1*4)*1)\/(-2*sqrt(250) - sqrt(250) - sqrt(250) - ((sqrt(360) - (sqrt(360) - 3*sqrt(360))) + sqrt(360) + sqrt(360))).\nAnswer: -9*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*i = -192. Suppose 0 = -i*x + 23*x - 170. Let c = x + 238. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3278 + -3278.0002167. What is d rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n**3 + 10*n + 7. Let y(a) = 3*a + 2. Let i(j) = -3*y(j) + z(j). Let h(m) = -m**3 - 9*m**2 + 114*m - 15. Let d be h(7). Give i(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 824*u. Let w(n) = -11*n**2. Give w(k(o)).\nAnswer: -7468736*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-2\/5))**19\/(x**(1\/4)\/((x*x\/x**(2\/11)*x)\/x)) assuming x is positive.\nAnswer: x**(10377\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c + 5. Let r(l) = 8*l - 6. Determine 6*h(b) + 5*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (289 - 207)) + 1 + 0 + 1\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59734707 divided by -59734707\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r**3 - 3*r + 12*r + 11*r**2 - 5*r**3. Let j(m) = -4*m**3 - 5*m - 337 - 6*m**2 + 337. Calculate -11*j(a) - 6*l(a).\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 523?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 15 = -2*z, 4*k - 333*z = -338*z + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1900)*-2 + 2 + (sqrt(1900) - -1*sqrt(1900)))**2 + (sqrt(1900) + -1 - sqrt(1900))*-6 + 0 + -5)*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 931077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -92092313, -92092315, -92092317, -92092319, -92092321?\n\"Answer: -2*m - 92092311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1. Let j(r) = -3*r**2 - 14*r - 32. Let s(c) = -j(c) + 6*n(c). Suppose -o - 4*x = 2*o + 13, 0 = -3*o - 2*x - 17. What are the prime factors of s(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(19))*4 + sqrt(209)\/(sqrt(66)\/sqrt(6)))**2*-1.\nAnswer: -2455 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 22. Let i be l(-18). Suppose 3*w + q = 788, -5*w + 0*q = -q - 1316. Let v = w - i. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - -24 - (-3 + -8 + 5 + -5).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, -3\/2, 2\/3, -5.7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 335536 divided by -1072\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -11 + (-3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4 + 1442*s**3 - 473881*s**2 - 33840060*s = 0 for s.\nAnswer: -60, 0, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 446, 427, 392, 335, 250, 131, -28?\n\"Answer: -n**3 - 2*n**2 - 6*n + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-220)*14\/(1386\/15).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rffrrrgvnrffrggggg. Give prob of picking 2 g and 1 n.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406.0137701 + 2.0083501. Let r = 404 + x. Round r to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 844110728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1152, 42\/19, -3, 0.1.\nAnswer: -1152, -3, 0.1, 42\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 50*v**2 - 841*v + 3391. Determine b(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*n + 0*n - 3*n - 7*n as q + k*n and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 6041.\nAnswer: -30205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 10*y**2 - 12*y - 8. Let u be p(-9). Suppose 2*q - u = q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2 - (-7 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1221010000202 (base 3) to base 11\nAnswer: -640706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/18, -3\/7, 2963, -2.\nAnswer: -2, -3\/7, -5\/18, 2963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*(-30)\/(-18)*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-15)*(30 + -360). Let v = -365 - -541. What is the greatest common factor of v and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*-2*sqrt(130) - sqrt(130)) + sqrt(130))*5)\/(3*2*sqrt(10)*3).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -2600, -3899, -5198, -6497, -7796?\nAnswer: -9095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 7*u - 8. Let t be h(6). Let y(v) = 129*v - 14. Let n be y(t). Let z = n - -510. Calculate the highest common divisor of z and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.4, 5, -2\/7, -14 in increasing order.\nAnswer: -14, -7, -2\/7, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66, -67, -70, -75, -82, -91?\n\"Answer: -n**2 + 2*n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 4*l - 4. Let c(t) = 2. Let i(n) = n**2 + n + 11. Let s(a) = 6*c(a) - i(a). Give -q(z) - 4*s(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133377344 and 2?\nAnswer: 133377344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2562)\/4)\/((-3)\/4) + 0. Let n = q + -234. Suppose 4*c + 415 = 6*c + 3*h, 5*h - n = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3464532 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 81. Let y be ((-32)\/(-8) - n)\/(-1*1). Let h be y*(-4)\/(-96)*3\/2. What is the nearest to 1\/3 in h, 2\/7, -0.02?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13*w + 11. Let m(t) = -7*t - 2. Let q(g) = 14*g + 3. Let z(r) = 9*m(r) + 4*q(r). Calculate 6*j(i) + 11*z(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d = -97*d - 158 - 106 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9834422 divided by 9834422\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1025, 1061, 1093, 1121, 1145?\n\"Answer: -2*i**2 + 42*i + 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -554*p*u - 117*p - 637952*u wrt p.\nAnswer: -554*u - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 6664.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243581*b**3*c**3*g - 2631*b**3*c**2*g + 15*b**3*g - 2*c**3*g - 2*c**2*g wrt c?\nAnswer: 1461486*b**3*g - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b + 2. Let h be k(-2). Let i be (-2 + h)*(-5000)\/(-2). What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 9*k = 5*b - 31, -3*k = 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 251*n**3 + 6*n - 3287*n**3 - n**2 + 1 + 0.\nAnswer: -3036*n**3 - n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/((-15)\/9))\/(-1). Suppose -4*t = 8 - 116. Suppose t = 8*b + b. Put 5, r, 0, b in ascending order.\nAnswer: r, 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/10 and 137\/68694?\nAnswer: 343470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxjjjxjxjxj. Give prob of picking 1 j and 1 x.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 16) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.166816+-1\nAnswer: -0.833184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-12))\/(52\/(-1014)))\/(4\/(-8))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhm when four letters picked without replacement from {m: 12, h: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (5 - (22 - 14 - 7))) + 34.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7003 (base 11) to base 6.\nAnswer: 111052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054902104 rounded to seven decimal places?\nAnswer: -0.000549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21 = 3*m, -6 - 4 = -m - 4*k. Let x(z) be the third derivative of 0 + 1\/40*z**m + 0*z + 2*z**3 + 0*z**4 - 3\/20*z**5 - 7*z**2. Factor x(t).\nAnswer: 3*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2*z + 376214*h**2 + 4204*h*z - 27*z wrt z.\nAnswer: -h**2 + 4204*h - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0444 < -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 200434793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 36. Suppose -2 - 11 = -3*q - m, 0 = -3*m - p. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-12)\/66) + 31\/11. Suppose 4*l - 4*f = f + 135, 0 = -4*l + 2*f + 126. Suppose -3*s = 2*s - l. Calculate the highest common factor of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1410.091 - -0.909. Let c = 1328.1 - h. Let u = c - -83. What is the nearest to u in -1\/9, 2, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 624802*x**4 - 111*x**3 - 32652*x**2 - 1984*x?\nAnswer: 14995248*x - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(209)\/(sqrt(11) + sqrt(539)).\nAnswer: sqrt(19)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/12)\/((281\/3934)\/((-3)\/21*-2))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*((-10)\/16)\/(56\/(-224)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -743 + 761. Let g(w) = 118*w - 560. What is the tens digit of g(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9675 and 9675 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.16, 3\/88?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/504 - (-2)\/(-28). Let z(n) = -n**2 + 11*n + 2927. Is z(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 21 = -v + 5, 5*v + 2*m - 103 = 0. Let n(p) = 7*p - 17. Let d be n(4). Factor -3 - v*x**2 - d*x + 2*x - 6*x + 9.\nAnswer: -3*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2339112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from avrlqrqzv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-450 - 548 + 878)*(-10 + 10 + 6*q) to w*q + h and give w.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*q - 97*q = 94*q - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/7763 + 442387\/201838. Let t be ((-4)\/(-2))\/((-2)\/9). Calculate the common denominator of (t\/(-16))\/((-15)\/(-12)) and g.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 37*i**4 - 6*i**3 + 35*i**2 - 24*i - 1. Let o(v) = v**3 - 2*v**2 - v + 4. Let m(x) = a(x) + 6*o(x). Find the second derivative of m(w) wrt w.\nAnswer: 444*w**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - -4) - (1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 20, 84, 190?\n\"Answer: 21*w**2 - 41*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6604, 6608, 6612?\nAnswer: 6616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1838\/20783 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:38 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:07 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -7*p - 4*b + 48, 87*p - b + 0 = 78*p + 25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 534.00002435 + -534. Round p to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from rrzrmrrzrrqmzzrzrnmm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 286 + 250 = -2*z, 3*u = -3*z + 546. Let y = u + -1262\/7. Let l = -3634613 + 39980767\/11. Is l at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1622 divided by -370.\nAnswer: 811\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -433, -1416, -3323, -6460?\n\"Answer: -51*w**3 - 3*w**2 + w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25559 and -93?\nAnswer: -2376987","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 0. Let p = b - 6.7. Suppose -t + 22 = 22. Put p, 4\/3, t in descending order.\nAnswer: 4\/3, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.15049 to two dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, 0.11, -1\/8, 1\/8, 161\/3 in decreasing order.\nAnswer: 161\/3, 1\/8, 0.11, -1\/8, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 + 107 + (85 - 97)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674 + 19544250.\nAnswer: 19543576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282.3 - -299. Let q = 16 - x. Let u = 1 + q. Sort -2, 5, u in decreasing order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10921600 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/8 - 2137*r**2\/8 - 69513*r\/8 + 227745\/8 = 0. Calculate r.\nAnswer: -35, 3, 2169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 219 - 39. Suppose 35*u = w*u - 4*g - 96, 218 = 2*u + 5*g. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g + 9. What is the remainder when q(-12) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 1967 = l, 4*c - 2*l = 1962. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 + 980*u**2 - 59532*u - 60516 = 0.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyq when three letters picked without replacement from {q: 3, y: 5, m: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266575?\nAnswer: 5, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324634347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 9\/20*p**4 + 0*p + 1\/5*p**5 + 1\/5*p**2 + 7\/15*p**3 + 4 + 1\/30*p**6. Suppose d(t) = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.5 (b) 0.5 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49892, 399117, 1347008, 3192899, 6236124?\nAnswer: 10776017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 454, 455, 456?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 = -3, -30 = -5*z - 5*y. Suppose 11*x = 12*x - z. Suppose 0 = -4*a + 11 - 3. Calculate the highest common divisor of x and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407 is divided by 3763.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -886*c**2 + 10724*c - 5. Let d(a) = a**2 + 6*a - 1. Let s(l) = -5*d(l) + u(l). Find the second derivative of s(h) wrt h.\nAnswer: -1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 15*n - 59 + 28)*(4 - 1 + 0).\nAnswer: 45*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = x + 3*k, 2*x + k = x + 220. Solve -221*u = -x*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = -29*a + 200 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 2*i**2 + 2*i. Suppose -6*r + r = -3*v - 9, 0 = -5*r - 2*v + 19. Let f(t) = 9*t**3 - t**2 - 8*t**r + 0*t - t. Determine -2*f(b) - z(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44)\/sqrt(4))*3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**2 - 1808*q - 27453. Give i(-16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214280 - -0.267016707.\nAnswer: -214279.732983293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2. Suppose -4*j = 8, 3*j + j = -5*u + 7. Let w(q) = u*q**2 - q**2 + 19*q**2. Determine x(w(p)).\nAnswer: -441*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 305709007610683 and -0.4.\nAnswer: 305709007610682.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -79.7\nAnswer: 3267.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759548 divided by 4.\nAnswer: 189887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -583.8 - -596.7. Which is the second biggest value? (a) 0.1 (b) i (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 78\/5, 508, 2\/21 in increasing order.\nAnswer: 2\/21, 78\/5, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(20*h - 21*h + 14*h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37208335 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 7) in base 13?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2947.754 - 2936. Let u = 0.054 - m. Let q = -12.8 - u. What is the biggest value in -1\/7, 1, q, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 1 (c) 5 (d) -8 (e) 0.644\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 24 = 4*q - 4*r, 0 = 4*r - 12. Let b(m) = -3*m**2 - 20 + m**2 + q - 10*m. Let p be b(-5). Is -7 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029 > 3028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-24)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 122457010185.019.\nAnswer: 122457010184.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11694232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-84)\/(-8232)*833).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -3. Let w be (4\/r)\/(-1)*-2. Which is greater: w or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + (-77 - -75)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -a9?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1404406 + 223?\nAnswer: 1404631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3017*t**2 + 3012*t**2 - 6030*t**2 + 278 as h*t**2 + r*t + q and give q.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 + 11*o + 6. Let v(h) = -h**2 + h + 1. Suppose -172652 = 17*f - 172550. Calculate f*v(n) + t(n).\nAnswer: n**3 + 5*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 156*y**2. Let d(f) be the third derivative of -f**4\/24 + 267*f**2. What is i(d(o))?\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392376961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 207?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -12843*q + 12848*q - 8, -b = -q + 10 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-4))\/d**(-4\/7))\/(d**(3\/7))**(-1\/5))**(-2\/31) assuming d is positive.\nAnswer: d**(164\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44910465 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17253\/16 - -1073. Calculate the common denominator of q and 81\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)*d)**3*(d*d*(d**(1\/17)*d)\/d*d)**(3\/5) assuming d is positive.\nAnswer: d**(-5964\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 20, 689 = s - 5*o + 10*o. Suppose 39*x - 35*x = s. Suppose 0 = 6*f - 7*f + x. What are the prime factors of f?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347 + 182. Let w = 168 + q. What is the nearest to 2\/7 in -0.012, 2, w?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, m: 2}. What is prob of sequence ymm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {y: 4, m: 4, z: 3, v: 8}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 669 + 2205 = 0. Let g = -179 + u. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 37. Let p be q(16). Which is the third biggest value? (a) p (b) 6 (c) 1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*i - 0 - 3, -2*i + 4 = 0. Let g(m) = 3*m**2 - m - 12 + 6 + 7. What is g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/104)\/(-6*(-5)\/195)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 62, 206, 478, 920?\n\"Answer: 7*k**3 + k**2 + 6*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(800) - (sqrt(800) - (sqrt(800) + 0)))*6*-5 + 0 + (sqrt(800) - ((sqrt(800) - (sqrt(800)*-2 + -1)) + sqrt(800)))*-2))**2.\nAnswer: 103680*sqrt(2) + 37324944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 111 = 2*h, 9*h + 93 = 2*m + 4*h. Calculate the remainder when (-92 + -4)*(7 - (4 - -5)) is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - -59) + -1 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 105*x**2 - 18*x + 16. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + f + 6*f)*((-6 + 3 + 2)*(1 + 3 - 3) + 2 - 2 + 1 - 2 + 24 - 3) to the form c*f + k and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 5*n + 280.\nAnswer: -5*(n - 8)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10417*k**5 - 6*k**2 + 72*k - 2 wrt k.\nAnswer: -625020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129\/44 + 9\/11. Let k = -101\/28 + f. Determine x, given that 0*x - k*x**4 + 1\/7*x**2 - 1\/7*x**3 + 1\/7*x**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57349*k = 53263*k + 40860 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + q**2 + 0*q**2 + (0 + 4 + 2)*(-3*q**2 + 4*q**2 + 2*q**2).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 293369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwszqwqwzqzzzzw. What is prob of picking 1 s and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (164 + -172 - (-1 + 0)) + -1 + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 425004588043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g**2 + g. Let p(c) = -60*c**2 + 2*c + 23. Determine 2*d(o) + p(o).\nAnswer: -22*o**2 + 4*o + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3544 divide 1894190032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200048280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2579, -2576, -2563, -2534, -2483, -2404, -2291?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -29\/5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:17 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3571015 divided by -7\nAnswer: -510145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/2 + (-816)\/(-15). Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) -2\/25 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/405328 and -1\/87780.\nAnswer: 115518480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 41690340 to the nearest 100000.\nAnswer: 41700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 19*g**4 + 2 + (5*g - 2*g - 4*g)*(-5*g**3 + 2*g**3 + 5*g**3) to the form v*g**2 + h*g**3 + y*g**4 + t*g + w and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/114*18\/(-16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (57 + -67 + 65).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 29*q**2 + 31*q - 18. Let h be o(14). What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. What is the lowest common multiple of 12 and j(11)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 342, 350, 370, 408, 470, 562, 690?\n\"Answer: w**3 + w + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -135004*j + 8. Let c be p(2). What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Let y be 1\/(-4) + 25\/g. Suppose 3*w + 2*z = 8, -25*w + 4*z - 16 = -27*w. Sort y, -2, w in decreasing order.\nAnswer: y, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -25*x**4\/4 - 8*x. Let v(t) = t. Give o(v(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 4 = -3 - 1, 49*x - 50*x - g = -6*g - 22 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2282\/84771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 138.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10462.\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a5 + -5?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -800, -2002, -3202, -4400, -5596, -6790, -7982?\nAnswer: -9172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d. Let f(g) = 1224*g**2. Calculate z(f(o)).\nAnswer: 8568*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -13 + 1. Let s(o) = 15*o**2 + 7*o + 8. Let n be s(q). Suppose -p = a + 4*a - 152, -n = -3*p - 5*a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.1 (b) -321 (c) 0.05 (d) -0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182 + 200. Calculate the least common multiple of 124 and 297\/m + (-9)\/(-6).\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 5, m: 5}. What is prob of sequence wwwq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let h(m) = 671*m. Calculate l(h(x)).\nAnswer: 900482*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 4, 5, -3, -5621, 2 in decreasing order.\nAnswer: 79, 5, 4, 2, -3, -5621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -800, -1252, -1760, -2342, -3016, -3800, -4712?\nAnswer: -5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52473 - 32808 = -285*v for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15 and -23\/112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32063416*i - 20376442 wrt i.\nAnswer: -32063416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykykkyyyy. Give prob of picking 3 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c1 (base 14) in base 15?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173172289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2050 - 4076. Let p = -1354 - z. Suppose 0 = -c - 6*c + p. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2*sqrt(304))**2*-5 - (sqrt(304) + (((0 + sqrt(304) - sqrt(304) - sqrt(304)) + 1)**2 - sqrt(304))) - ((sqrt(304) + 0)**2*-1 + 4).\nAnswer: -1525 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1231458 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 5:50 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27455?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 15*f**2 + 15*f - 11. Let m be t(-16). Solve 3*c = -m - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 104210?\nAnswer: 104233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 - v. Let n(r) = -3*r**3 - 17*r**2 - 3*r + 1. Determine 2*n(h) - 9*x(h).\nAnswer: 3*h**3 + 2*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*k - 2, -r + 4*r - 2*k = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5414*t + 795*t - 64666 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(((sqrt(80)\/sqrt(2))\/sqrt(10))\/sqrt(2) + 1).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -65, -1\/9, -0.1, 0.1 in decreasing order.\nAnswer: 0.1, -0.1, -1\/9, -0.2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, -37, -1 in descending order.\nAnswer: 23, 1, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*z + 14 = 0, -i + 0*i + 5*z = -22. Let d(b) be the second derivative of 1\/10*b**5 + 2*b + 0 + 1\/2*b**4 + b**i + b**3. Factor d(k).\nAnswer: 2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.5 take away 1.28?\nAnswer: 25.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.8 - -12.8. What is the biggest value in g, 0.3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -13. Let g be (d\/9)\/((-8)\/18). Suppose -5*o + 62 = -g*m, 2*o + 4*m - 14 = -o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 613240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.03 + -0.03. Let p = l - -2. Let w = -248 - -246. Which is the third smallest value? (a) p (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8752 * -0.1\nAnswer: 875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/56)\/(2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*r + 3284 - 9164 = 972*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 + -3. Suppose 0 = -5*d + d - 196. Let f be ((-42)\/d)\/(1*2). Which is the closest to 1? (a) 5 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5587 (b) -5 (c) 12 (d) 3 (e) 15 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*z**3 - 199*c**2*z**2 - 2*c*z**3 + 5*c wrt c?\nAnswer: -8*z**3 - 398*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 74, 563, 1116, 1739, 2438, 3219, 4088, 5051?\n\"Answer: k**3 + 26*k**2 + 404*k - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 7*c - y + 35, -4*y = -2*c - 60. What is the common denominator of (-112)\/c - (-9)\/(-15) and -15\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*4\/18*(-18)\/(-12). Let m = -4 - -8. Let r = k + m. Calculate the remainder when 19 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307074643*-0.5\nAnswer: 153537321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114361 (base 7) in base 8?\nAnswer: 764104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112528649?\nAnswer: 137, 821377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1069721154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10982*a**3 + 6*a**2 - 4*a - 9. Let j be b(5). Suppose 2*y + j = -1727129. Round y to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-6)*(-1 - -7). Suppose 7*p - l = 2*p - 3*o, -5*o + 1 = p. What is the remainder when 14 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one halves of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0139491 nanometers to centimeters.\nAnswer: 0.00000000139491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -28, -48, -76?\n\"Answer: -4*y**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7610 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {x: 8, i: 1, q: 2, v: 1, y: 5}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3051293 divided by 3051293\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208*33\/(-792))\/((35\/(-5))\/(-21)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162613 (base 8) to base 16.\nAnswer: e58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/110 - ((-2)\/(-6))\/(60\/(-1908)). What is the greatest common factor of p and 1538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11376788 by 2844197.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 46964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(-3*q + 0*q + 4*q) - q - 2*q + 4*q - 39867 - 39875 + 119655 - 39858 + 201*q in the form t*q + n and give t.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:22 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -13. Let n(u) = -u**2 + 6*u - 5. Let j be n(k). Let o(b) = -b**2 - 6*b - 4. What is o(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**5 - 2*g**4 - 3*g**2 + 3*g. Let m(u) = 2*u**5 + 2*u**4 + 2*u**2 - 2*u. Let y(k) = -6*m(k) - 4*r(k). Find x, given that y(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 + 113144*u**2 - 40006586906*u\/5 + 240019155948\/5.\nAnswer: -2*(u - 141427)**2*(u - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19278021 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, -1\/4, -1\/3 in ascending order.\nAnswer: -1\/3, -1\/4, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 9*h**3 - h**2 + (0*h - 3*h + h)*(-h**2 + 2 - 2))*(-2*h + 4*h - 5*h) to the form g*h + x*h**4 + l*h**2 + v*h**3 + q and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 839, 956, 1141, 1388, 1691, 2044, 2441?\n\"Answer: -a**3 + 40*a**2 + 4*a + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 225 (b) -595 (c) -4 (d) 2 (e) 0.1 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 13 in ascending order.\nAnswer: -16, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 5*k)*(-29*k**3 + 17*k**4 + 29*k**3 + (-2*k**3 + 0*k + 0*k)*(-4*k + 2*k - k)).\nAnswer: 23*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - 8\/(24\/(-33)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*d - 59*d**3 + 55*d**3 + 345*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + 63*z**3 + 290*z**2.\nAnswer: z**2*(z + 5)*(z + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f**3 + 0*f**2 + 66 + 50*f - 51\/5*f**5 + 0*f**4. What is the derivative of u(q) wrt q?\nAnswer: -204*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 3*i - 8, -2*p + 22 = -3*i - 0*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10893.\nAnswer: 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + 1 - 68*a**2 + 67*a**2 + 0 to the form p*a**2 + f*a + k*a**3 + q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (-3 + sqrt(8)\/sqrt(4))**2 + sqrt(2) - ((sqrt(8) + sqrt(128))\/sqrt(4))**2) + (sqrt(2)*-2 + -4 + (-1*sqrt(2) + 1 - sqrt(2)))**2.\nAnswer: 2 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 16. Suppose -l = -g + 48. Let i = g - 33. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dded when four letters picked without replacement from ddddedzdzddddzzzdd.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7111724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-30)*(-10)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4704, -9519, -14150, -18603, -22884, -26999, -30954, -34755?\n\"Answer: -u**3 + 98*u**2 - 5102*u + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(1\/((-2)\/8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2. Let f = -40 - -81. Let v(w) = -9*w + f*w - 17*w + 8*w. What is v(o(d))?\nAnswer: 69*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 918? (a) 30814 (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*t = 267*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2 - 2\/(4 - 6). What is the second derivative of -9*s - 156*s**p - 6 + 216*s**4 + s**2 - s**2 - 7*s wrt s?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -248002a + 3?\nAnswer: -2480027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*j - 3*g, -2*j = 3*j - g + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n - 1. Let r be t(-1). Suppose 0 = q + 5*v - 8, 4*q = 3*v + 16 + 16. Suppose r*f - q = 8*f. Solve 5*k + 5*h = k + 27, -f*k = -2*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -23 - (-134 + 158). What is the nearest to 65 in 6, k, -5, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/136*9*102\/756)\/(1\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37643 + 74291. Suppose -c = -5*w + 62852. Round w to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3834 + 3933. Calculate the remainder when 2173 is divided by g.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7615*s**2 - 7615*s**2 - 3392*s**3 + 3385*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**4 - q**3 + 3657*q - 5506 wrt q?\nAnswer: 8*q**3 - 3*q**2 + 3657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*z**5\/2 - 603*z**4\/2 + 2127*z**3\/2 - 2553*z**2\/2 + 621*z - 96 = 0. What is z?\nAnswer: -32, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 50 = -5*v - 60, 3*i - 1 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 106 = 14. Let d = 52 + h. Suppose -2*c - 2*c = d. What is c rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.018 and 5799?\nAnswer: 104.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180))**2*2 - (sqrt(320) + 1)**2)*5 - ((sqrt(125)*-2*-6)**2 + sqrt(20)\/(sqrt(4)*1) + (sqrt(5) - sqrt(80)) + 0).\nAnswer: -17805 - 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3655750 (base 8) to base 4\nAnswer: 3311233220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, 7, -2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16881262 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001537 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 3. Suppose -3*r + 0 - 15 = 0. Calculate j(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 45602*l**5\/75 - 90902*l**4\/15 + 239992*l**3\/15 + 9632*l**2\/15 + 128*l\/15 + 2033. Find o such that r(o) = 0.\nAnswer: -2\/151, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*l + l + 25, 0 = 2*t - 4*l + 8. Let a(v) = -6 + 0*v**3 + 4*v**3 - 3*v**3 + 6*v**2 - v - 2. Calculate a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-7)\/i)*i)**4*(i**(13\/2))**46)**(2\/5) assuming i is positive.\nAnswer: i**(686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 8*g**4\/3 + 16*g**3 + 26*g**2\/3 - 22*g + 20\/3 = 0.\nAnswer: -5, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 269 = -2*k - 115, -7*k + 4*k - 336 = -4*r for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 309\/13. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/132)\/((4\/50)\/((-12)\/(-10))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffssss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2\/2 - 4*u + 68. Calculate n(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153512 and 9285?\nAnswer: 2302680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 less than or equal to 2076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/5 + 9011*a\/5 + 4207656\/5.\nAnswer: (a + 1592)*(4*a + 2643)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*x - 495*x - 380*x**2 + 2018*x - 524*x - 495*x.\nAnswer: -380*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-2)*3\/(-7)*(-595)\/(-765)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -13. Calculate the remainder when (-1)\/6 - 305\/(-30) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/10 + r**4\/4 - 7*r**3\/6 - 2*r**2 + 11. Find the first derivative of g(i) wrt i.\nAnswer: 12*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(99) - sqrt(99)*-3)\/sqrt(11)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 2*x + 176. Suppose 3*k = x + 2. Suppose -n + 15 = 2*n. Calculate the least common multiple of n and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from gsbgghmggbsg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n**2 - 1)*(-27*n + 56*n - 28*n - 24).\nAnswer: n**3 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2. Let g(f) = -2*f + 0*f + 0*f. Determine v(g(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*l + 5*l**2 - 124*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 14 + 28. Calculate the smallest common multiple of (1350\/(-30))\/(3*-1) and h.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5)\/(8\/100). Suppose 2*l + m = -3*m + 146, h*l + 3*m - 386 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.7501 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 + -0.35. Suppose -y = -2*y - 1. Let x be 0 - ((-10)\/8 - y). Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -4*v**3\/3 - v**2 - 1. Let o be w(-3). Let f = -14 - o. What is the remainder when 46 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3 = d. Suppose 0*a + 60 = d*a + j, 0 = -2*j. Let p = a - 23. Is -2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from nrrnmmrrnmnnnmmrnn?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 128*i. Let j(d) = -7*d**2 + 10*d. Let p(w) = 4*w**2 - 6*w. Let t(b) = 3*j(b) + 5*p(b). Calculate l(t(v)).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9 + 9 - 25 + 10*w + 2*w**2. Let x(n) = n. Let g(c) = -5*c**2 - 24*c + 20. Let p(b) = g(b) - 5*x(b). Let j(r) = -3*p(r) - 8*v(r). What is j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043155 to 3 dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1992 - 8*p - 1992 + 195*p + 56*p.\nAnswer: 243*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 0*t**3 - 3*t**2 + 0*t**7 + 0*t**5 + 0*t**6 + 0 + 0*t - 1\/3*t**4 - 3\/112*t**8. What is the second derivative of m(l) wrt l?\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0, 7, -0.2, -124\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5226*p + 5494. Calculate s(-1).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.108 + -2.068. Let p = z - -1.982. Round p to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/400 and -137\/3640.\nAnswer: 36400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 4. Let u be l(8). What is the biggest value in -0.1, -6, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1149816981 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*sqrt(224))\/(sqrt(242) - (sqrt(242) + (2*-3*sqrt(242) + sqrt(242) - sqrt(242)) + sqrt(242))).\nAnswer: -20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r**2. Let g(m) = 38*m**2 - 14. Let w(x) = -513*x**2 + 190. Let t(u) = 95*g(u) + 7*w(u). What is p(t(f))?\nAnswer: -6498*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - g**3 - 2*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + (-1*sqrt(972) - sqrt(972)) - sqrt(12))\/(sqrt(72)\/sqrt(2)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*k*r**3 + 311*k*r**2 + 941415*r**5 + 74096*r**2 wrt r?\nAnswer: 150*k + 56484900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006225 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1666893 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54931, 109839, 164757, 219691, 274647, 329631?\nAnswer: 384649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 3*y**2 + y - 2*y. Let v(n) = 3*n + 4. Let g(r) = -7*r - 9. Let s(a) = 4*g(a) + 9*v(a). Give o(s(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 13*h**2 + 12*h - 7. Let j be d(12). List the prime factors of 60 - (j + 5 + -1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:39 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 0 + 1 + -2. Suppose 0 = -i + 2*i - p. Let w = 12 - 8. Sort w, i, 0 in decreasing order.\nAnswer: i, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - -3.667. Round d to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = 3*o, -3*b + 9 = -7*b - 5*o. Suppose 0 = b*j - 2*f - 24, -5*j - f = f - 12. Solve -j*w + 2*w = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3174*z - 620056 = 3166*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - -1*sqrt(52)) + (sqrt(832) + -1)**2.\nAnswer: -12*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 322*y**3\/3 + 3*y**2\/2 + 3*y - 1. Suppose 8 = 2*a + 2, 4*r = 5*a - 3. Let h be z(r). What is h rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 14}. Give prob of picking 3 t.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 3*a - 2 - 63*a**2 + 62*a**2 + 3*a**3 to w*a**2 + r + m*a + d*a**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -4055*c**8\/336 - c**4\/24 - 474*c**3 + 459*c**2. Find the second derivative of h(b) wrt b.\nAnswer: -81100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1541 - -155677\/27738. Calculate the common denominator of b and -93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 33*k + 2043 - 1021 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 68*a**2\/15 + 2*a\/15 = 0.\nAnswer: -1\/34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -5, 529 in descending order.\nAnswer: 529, 37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let b(k) = k - 937. Calculate j(b(c)).\nAnswer: 3*c - 2811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:41 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19770.24 - 19770. What is the biggest value in 0.2, p, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 14*q + 7. Let l(p) be the third derivative of -5*p**4\/24 - p**3\/3 - 10*p**2 - 92. What is 8*l(h) + 3*w(h)?\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.074 (b) -0.5 (c) 1\/4442424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*k**2 + d**2*k - 81*d*k**2 + 545*k wrt k?\nAnswer: -4*d**2 - 162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3365*j**2 - 16*j - 10. List the prime factors of l(-1).\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3146857?\nAnswer: 7, 101, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 3*r**2 + 2*r**2 - 1 + 2*r**2 - 7*r**4 - r to d*r**3 + i*r**4 + o*r**2 + f + j*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012000211 + -2?\nAnswer: 1012000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, 5, 4 in descending order.\nAnswer: 5, 4, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iicidcdced. What is prob of picking 3 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 28. Let j(o) be the first derivative of -o**3\/3 + o - 1. Let h(u) = 2*u**2 - 1. What is g*j(d) - h(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -64\/9, 1\/2, -10, 924, 1\/5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(34))\/sqrt(2) - (sqrt(34)\/(2*sqrt(200)))**2.\nAnswer: -17\/400 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0102097 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -5694.\nAnswer: -1708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -230048 >= -230047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 29 = l, -92 = -l - 5*v - 121. Let y(w) = -w**2 - 39*w - 80. What is the units digit of y(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/210*5\/(-1). Which is the smallest value? (a) -1\/7 (b) 11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21263351 and 211760?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {m: 2, a: 4, e: 1, y: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-576)\/(-63))\/((-1390)\/1946)?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2792398*k**3 - 61238*k - 6 wrt k?\nAnswer: -16754388*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21718 is divided by 886?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b)*(-489 - 545 + 1131).\nAnswer: 97*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - b + 5*i + 35 = 0, 2*i = 3*b - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -0.5, 8\/407, 3\/5, 0.2, 2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 0.86, -1.5, 0.13, -4?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26828 (base 10) in base 9?\nAnswer: 40718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*b - 147661 = -260890 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522151000 = -35*v - 62*v. Round v to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 7*w - 3*w + 10, 0 = 5*w + 25. Suppose h - 5*z - 131 - 20 = 0, u*z + 604 = 4*h. Let p = h - 110. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -37, -16, 22 in ascending order.\nAnswer: -37, -16, -4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55929 is divided by 5572?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 12*p**2 - 13*p. Let z be u(13). Suppose -175 = -5*d - 5*r, r = 3*d - z*r - 105. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559545419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4 - i**3 + 194*i**2 + 24605*i.\nAnswer: 36*i**2 - 6*i + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.061 - 0.039. Let l = -1712\/7 + 236. Is g < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5662 is divided by 806?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2986208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1203 and 18?\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 74 = -39. Suppose -3*n - 2*n + 5*m = -l, -4*m - 8 = n. What is the remainder when 9 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-30)*d*(d*d**(-2\/3)*d)\/d*d*d**(-15) assuming d is positive.\nAnswer: d**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/6*(-160)\/56. Let 2*l**2 - z*l**2 - 3 + 7*l**2 + 4*l = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from hiihiihihiihhiziz.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*c - 166*c + 5*n + 1, 4*c - 28 = -4*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1229, 1240, 1235, 1208, 1153, 1064?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {q: 2, w: 2, z: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4\/7 + 156*s**3 - 472*s**2 + 2208*s\/7 = 0.\nAnswer: -276, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 18*i - 95 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63440*r + 291503 wrt r.\nAnswer: -63440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204577044 by -382.\nAnswer: 535542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 848908754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-22)\/(-2) - -1. What is the remainder when 2\/d - (-768)\/15 is divided by (-252)\/7 + 20 + 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.97 - 32. Let r = -0.0302 - k. What is r rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117909, 117937, 117969, 118005, 118045, 118089?\n\"Answer: 2*s**2 + 22*s + 117885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l = 5. Let k = -3 + l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.800999435 - 0.801. What is f rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -905441, -55 in descending order.\nAnswer: 4, -55, -905441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184809 (base 10) in base 7?\nAnswer: 1366542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 95815 divided by 2\nAnswer: 95815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 375*l + 153. What is n(-120)?\nAnswer: -1647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.8 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(3528\/(-54))*(-2)\/18*3*-152.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:50 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13335502 to the nearest integer?\nAnswer: 3652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**6\/10 + 33*q**5\/20 + 27*q**4\/4 + 25*q**3\/2 + 12*q**2 - 31*q - 27. Let u(i) be the first derivative of c(i). Factor u(x).\nAnswer: 3*(x + 1)**3*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 262488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8558643 rounded to three dps?\nAnswer: -1.856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -25. Calculate the lowest common multiple of c and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75890, 151779, 227664, 303545?\nAnswer: 379422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 15 - (2 + 47 + -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -788\/5 + 836\/5. Let t = w - 111\/10. Which is the nearest to -2\/3? (a) -3\/4 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6317 - 4750.9. Let f = r + -1566. Let j = -12 + 20. What is the closest to f in -4\/9, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5\/3 + 519710*r**4\/3 + 2078904*r**3 + 24947072*r**2\/3 + 41578624*r\/3 + 8315744 = 0.\nAnswer: -6, -2, 259867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 143. Let p(b) = 14*b**g - 2*b**2 - 11 - b - 5 + 9*b**2. Let n(m) = 4*m**2 - 3. Calculate 11*n(a) - 2*p(a).\nAnswer: 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41177465 and 5882495.\nAnswer: 41177465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2247291*q**2 + 611831*q wrt q.\nAnswer: 4494582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -122.69483 from -0.21791.\nAnswer: 122.47692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z + 4*g - 6, 5*z = 4*g - 12. Solve 5*s + 20 = z, 4*k + 0*k + s = -20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 718?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let y(r) = -r**3 + 5*r**2 - 6*r + 3. Let u be y(4). Sort 5, u, m in ascending order.\nAnswer: u, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15958497?\nAnswer: 3, 29, 59, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 3*m. Let l(p) = -5*p**2 + 5*p. Let n(q) = -7*b(q) + 4*l(q). Suppose -4*y + 5 = 9. Let h be n(y). Solve -h*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520844 (base 9) to base 2\nAnswer: -1001011011100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572362 to the power of 1\/2, to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97789206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933 a factor of 2073450029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 938386324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4086, -4, 2\/11 in descending order.\nAnswer: 4086, 2\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 83 = -g - 7, -248 = 3*g - 5*f. Let n = g - -138. Calculate the greatest common divisor of 260 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-77)\/(-22)*(-1761290)\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*a + 47545. Suppose 5*c - 6 = 3*c, -3*c + a = q. What is q rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7014 - 9890 = -4*o + 9108. What is the smallest common multiple of o and 2?\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 620 and 17794.\nAnswer: 177940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 - 310 = 4*j. Let i = j + 213. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/31)*d\/(d\/(d*d\/(d*d**(-8\/5))*d)) assuming d is positive.\nAnswer: d**(568\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.02, -2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((4 - (4 + -3)) + (1159 - 1224))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7866070 is divided by 2622018.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - -61179?\nAnswer: 611aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -580 + 580. Let h = -2.8 + 3. Let z = h - 0.1. Is n less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 + 44*m + 42 = 0. Calculate m.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from tuxuuxxuxx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 2803033?\nAnswer: -2803030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16ab (base 15) to base 13.\nAnswer: 22bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/14976 and 125\/37849344.\nAnswer: 113548032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*a + 10681251 = -3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9315 (b) -0.2 (c) -0.5 (d) 4.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/269493 and 27\/74494.\nAnswer: 9162762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.3\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132345020 - 3?\nAnswer: -132345023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express w + 1 - 1 + 4332*w - 8805*w - 3 + 4371*w + (4 - 2 - 1)*(0 - w + 0) as b*w + o and give b.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 28\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + 610*q**2 - 312*q + 19578. What is d(-204)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2 + 6. Let n be 3\/((18\/h)\/3). Suppose -3*q - 4*t = -3*t - 26, n*q + 4*t = 34. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 2.3. Let s = -134 + 133.91. Put s, p, 2 in descending order.\nAnswer: 2, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323b (base 12) in base 8?\nAnswer: 12617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzzzzztttz. Give prob of sequence tzt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c54 - -1?\nAnswer: 9c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 5. Let z = -45 + 79. Let c = 34.3 - z. What is the nearest to -1 in c, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j - 37 + 818 = 0. Let u(f) = -5*f - 11. Let n(w) = 3*w + 6. Calculate j*n(h) - 6*u(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaaa when four letters picked without replacement from ahuahhanhhnhhhuanun?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1292 and 4?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y - 25 = 0. Suppose 77 = y*c + 4*j, 5*c - 5*j = -0*c + 50. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (62*5\/(-10))\/(-1). Let v = i - 23. Solve 5*j - 3 = v*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32 + 4)\/7 - -9. Suppose 4*x + y*x = 174483. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/35*3752\/(-5226)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1215516 * -6\nAnswer: -7293096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 263\/(-3) + 2. Let y = -11195\/129 - d. Let t = 797\/172 - y. Calculate the common denominator of t and -31\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = 12. Suppose 4*z + 5*s = 651 + 2713, -m*z - 2*s + 4188 = 0. Let x = z - -525. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 24. Suppose 50 = -3*l + 2*l - r*h, 4*l - h = -200. What is the common denominator of -74\/9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2*4)\/(-4))\/1. Let j be (-7)\/5 - (0 + -2). Is c greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -29. What is the third smallest value in u, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2075\/2, 0, 4 in descending order.\nAnswer: 2075\/2, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 224, 482, 768, 1094, 1472, 1914, 2432?\n\"Answer: 2*y**3 + 2*y**2 + 238*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + l**2. Suppose p + 3 = -2*y, -4*p = 2*y - 5*y + 23. Give c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14398*i**2*t**3 + 24*i**2*t*u - i**2*u + 5*i*t**3*u wrt u.\nAnswer: 24*i**2*t - i**2 + 5*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - (-49)\/7)*1. Put 4, k, 102, 5 in decreasing order.\nAnswer: 102, 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 48*v = -198. Suppose -3*g - 16 = 14. Let j be 4\/(-10) - 34\/g. Solve 3*t + v = j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3237, 12960, 29169, 51864, 81045, 116712?\n\"Answer: 3243*l**2 - 6*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5\/2, 5553909?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 921 from -132.47.\nAnswer: -1053.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1080)\/(-990) + 263\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 8*g - 117. What is the remainder when 309 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3881*o**2 - 996*o + 27620519.\nAnswer: -7762*o - 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12380346 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9107044 is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 319500010. Let u be 4\/18 - o\/9. What is u rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12275)\/(-25200) + 4\/(-14) and -59\/872?\nAnswer: 15696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.49 rounded to 0 decimal places?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (106\/(-53)*(-671)\/(-77))\/(8\/28)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n = -34*n + 16. Suppose -i - 6 = -v - 1, 5*v = 2*i + n. Which is the closest to 0? (a) v (b) -0.4 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (224710 + 1)*(-1)\/22. Let c(o) = -127*o**2 - 10*o - 20. Let r be c(-9). Let m = u - r. What is the common denominator of -103\/22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -4dafc?\nAnswer: -4daf4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, q: 4, i: 1}. What is prob of picking 1 e, 2 q, and 1 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 12. Suppose d + 10 = p*d. What is the second derivative of 2*v**2 - 9*v**4 - 5*v - 12*v - d*v**2 wrt v?\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/539371 and 67\/464?\nAnswer: 8629936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, -55, 1\/3, -3\/2 in ascending order.\nAnswer: -55, -3\/2, -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27709837 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: Let q be (1 + -1)\/(2\/(-2)). Let g = q + 14. Let j = -3 + g. Solve 5*u = -3*x - j, 2*u - 2 - 4 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/5 + 186*z - 929\/5 = 0.\nAnswer: 1, 929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501037.7 millimeters in kilometers?\nAnswer: 0.5010377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let b = 385 - 390. Let j be b\/15*(1 - (-12)\/15). What is the fourth biggest value in -2\/9, j, o, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(6\/5))*(t*t**(-1\/8)\/t*t)\/t*(t\/t**(-11))**(-43))**(7\/6) assuming t is positive.\nAnswer: t**(-144571\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 0*f - 4 - 303*f**4 - 1 + 10 - 11*f**4 in the form k + i*f**2 + z*f + b*f**3 + h*f**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 3 (c) -0.06 (d) 8\/24981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v**2 + 65*v**2 + 27*v - 27*v.\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 149.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16976095 to the nearest integer?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 + 505*v**2 - 1482*v + 2720. Find the first derivative of d(f) wrt f.\nAnswer: 2*f + 1010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13426532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*o**2 + 121*l**2*o - 2766*l**2 + 4*l*o**2 wrt o.\nAnswer: 4*l**2*o + 121*l**2 + 8*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 2*i + i)*(-2 + i + 2)*(9 + 110*i + 11 - 18) as u + d*i + n*i**3 + m*i**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 + 17\/(-2). Let i = -6 - x. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.7833 millennia in centuries?\nAnswer: 3247.833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.626380577 rounded to 3 dps?\nAnswer: 0.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**7\/28 - x**6\/20 - 3*x**5\/40 + x**4\/8 - 3*x - 2. What is z in h(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 41*x = 145. Solve -5*u = -4*j + x, u + 3*u = -20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 2*p + 7. Let u(s) = -s**2 + 2*s + 7. Determine 5*r(y) - 4*u(y).\nAnswer: -y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 5*m + 67527 = 0. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -421, -1, 5 in decreasing order.\nAnswer: 5, -1, -2, -4, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 1118300.\nAnswer: 7828100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 9:53 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 44\/3*a - 16\/3*a**2 + 4\/3*a**3.\nAnswer: 4*(a - 6)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 100 = 2*d, 5*d + 2*t = 3*t + 270. Suppose d - 679 = -k. Is k a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, 413, -1\/8, 1.3, 0.1.\nAnswer: -23, -5, -1\/8, 0.1, 1.3, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565075930?\nAnswer: 2, 3, 5, 71, 197, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -78?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:24 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 - 4*n**3 - n**3.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145907\/2473*(-1)\/2)\/(4\/16)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 16*j + 29. Let x be w(2). Which is bigger: x or 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 4. Let t = p - -9. Do t and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ac4d71 (base 14) to base 8\nAnswer: 26247267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 167974814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259472477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/17007 and -70\/27?\nAnswer: 153063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 83*g + 422. Let v be c(-5). Let z = 121 - 214. Let n = v - z. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:59 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.87 - 0.13. Let j = 4 - z. Which is the third smallest value? (a) -3 (b) -1\/10 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -89. Let x be (-54839)\/(-261) - 1\/9. Calculate the greatest common divisor of x and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 53694309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2 (b) -2 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63, -0.1, 0.04, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 519011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, -3, -969248 in descending order.\nAnswer: 208, -3, -969248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 5. Let p be m(0). Let h(r) = r**3 + 6*r**2 + 4*r - 1. Give h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90272.\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -3102903.570923.\nAnswer: -3102903.650923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1467, 1372, 1289, 1224, 1183, 1172?\n\"Answer: i**3 - 102*i + 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61085 divided by 61085.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxn when three letters picked without replacement from jdqdjdndxjjqddq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2020, -2010, -2000, -1990, -1980, -1970?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i**3 + 2*i**2 - 7*i + 5. Let w be u(5). Let c be w\/90 + -1*(-2)\/6. What is the greatest common divisor of c and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (30 - 16 - 7) + 3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/180 - z**4\/12 - 13*z**3\/3 - 9*z. Let p(w) be the second derivative of r(w). What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2837864891 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 19*i + 91. Let x be j(8). Solve -5 = x*a - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/10)\/((-2)\/(-10)). Suppose 41*g - g - 40 = 0. Suppose -x = a, -x - 3 = 2*a - g. Put 3, q, x in decreasing order.\nAnswer: 3, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1995*z + 1562. What is the ten thousands digit of i(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/5 (b) -3 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2060524449*o**3 + 30908048307*o**2 + 2723584*o + 60.\nAnswer: (o + 15)*(45393*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 17*f - 37. Is r(31) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373 + -373.2. Is v less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(-12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a*j*r**3 - 184*a*r**3 + a*r + 5*j + 100*r**3 - 2 wrt a?\nAnswer: 3*j*r**3 - 184*r**3 + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(143)*-3)\/(sqrt(11) - (sqrt(11) - sqrt(88)\/(sqrt(32)\/sqrt(4)))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 4*q**2 + q**2)*(-19*q + 4*q - 4*q) + 3 + 0 + 2*q**3 - 4 - q - 2*q**3 + q.\nAnswer: 38*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 - -46. Let r = -71 - h. Let g = r - 15. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 3)*(-5*o + 3*o + o)*(5 - 1 - 1).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -9. Let x = -1 - n. Let u = -5.999965 + x. Round u to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 508575?\nAnswer: -508576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2066, -4146, -6226, -8306?\n\"Answer: -2080*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530588, 530586, 530584, 530582, 530580?\nAnswer: 530578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -252 - -188a?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-60)\/(-27)) - 1. Let l be 6 - 2 - (21 - (3 - -2)). Let j(x) = -2*x**2 - 25*x - 14. Let w be j(l). Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9556731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 581*a**5*t**2 - 3*a**2*t**2 - a**2 - 6501*a*t**2 wrt a.\nAnswer: 11620*a**3*t**2 - 6*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 4*t**2 + 4*t + 4. Let b be f(3). Calculate the greatest common factor of 85 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39223*b - 19650*b + 2 - 19760*b.\nAnswer: -187*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-2))\/(2163\/(-103))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54480939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -1*sqrt(1900)).\nAnswer: 5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11 + 21*k - 36*k + 2*k. Calculate the remainder when 145 is divided by a(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 23 + 54 - 31 as l + x*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 30*a + 5. Suppose 0 = -5*k - 22 + 27. Suppose x + 14 = -k. Let g be p(x). Put g, -4, 3\/4 in increasing order.\nAnswer: -4, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -200\/7 - 304\/7*l - 106\/7*l**2 - 2\/7*l**3.\nAnswer: -2*(l + 1)*(l + 2)*(l + 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -315615, -315587, -315559, -315531, -315503, -315475?\n\"Answer: 28*l - 315643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 362*s**2 - 353*s**2 + 8*s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2062 + -557.8062. What is l rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 - f + 1. Let o be (-14 - -14)\/(0 + 1). Suppose -3*p = -2 - 1, o = -3*x - 3*p - 3. List the prime factors of n(x).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187246358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2020 and 157.\nAnswer: 317140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 10. Solve -l = -g*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.5 + 17. Let t = g - -0.5. Let p = -2.9999994 - t. Round p to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 - 10*d + 2. Let j(y) = -y**3 - 5*y**2 - 9*y + 1. Let a(q) = 6*j(q) - 5*k(q). Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211371990?\nAnswer: 2, 3, 5, 1483, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 bigger than 65721\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = -4*i, 28 = 4*m + 2*i + 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -831*q**6 + q**2 + 34 wrt q.\nAnswer: -99720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 - 11*u**4\/12 + u**3\/6 - 10*u**2 + 11*u. Is s(-12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5921743 (base 10) to base 15\nAnswer: 7be8cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)*c**(-6))\/((c**0*c)\/((c**5*c)\/c)))**34 assuming c is positive.\nAnswer: c**(-510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 - 131?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(35\/6)\/(r*r*r**(-1\/3)\/r*r*r)**(-4\/23))**(13\/6) assuming r is positive.\nAnswer: r**(-3211\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14871 + 2.\nAnswer: 14873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 17. Let p(o) = -35*o - 247. Let s be p(-7). Let v = -6.7 - -7. What is the closest to -2 in v, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486993571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*n**2 - 4240 + 128*n**2 + 3039*n + 129*n**2 - 382*n**2 + 1196*n = 0.\nAnswer: -848, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 4*q + 4. Let i be (23\/(-2) - 2)*(-46)\/(-69). Give f(i).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.741 - 0.841. Sort v, 0.1, -10, -0.4.\nAnswer: -10, -0.4, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 1.01. Let u(j) = -j**3 + 13*j**2 - 2*j + 26. Let k be u(13). Which is the closest to k? (a) w (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.98 - 0.02. Let m be (-16)\/6 + (-3)\/9. What is the smallest value in c, m, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:37 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.4. Let m = 0.23 - -0.88. Let r = 1.17 - m. Which is the third biggest value? (a) r (b) v (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 28*o - 27*o + 4 = -11, 3*k + 2*o + 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 495 - 185 = 5*i, -2*p - 4*i = -266. Suppose -p = -4*u + 5*x, 12 = -x - 3*x. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/7 + 64*f\/7 + 1024\/7 = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*m*q**2*x**3 - 13*m*q*x**3 + m*q*x + 2*m*x**3 - 70*m*x + q**2*x**2 - 7*q**2 wrt x.\nAnswer: 114*m*q**2 - 78*m*q + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -22. Suppose 5*a + q = -3*w - 14, 5*w + 3*a = 0. Solve 0*c + 3*c - 23 = 2*u, w*u = 2*c - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 6*y + 7, -9*p = -12*p - 3*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, c: 2}. What is prob of picking 2 c and 1 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 147675251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 5)*(2*v + 3*v - 4*v)*(29*v - 11*v - 2*v) to the form z*v**2 + c*v + l and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/4 - 14*o**3\/3 + o**2\/2 - 13*o - 757. Give r(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:55 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -3*y. Suppose 0 = 4*q - 3*j - 351, q + 59 = 2*q + y*j. Let u be 45\/(-18) - 66\/(-4). What is the highest common divisor of q and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 10*j + 10. What is the tens digit of y(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(45)\/(sqrt(27)\/sqrt(3))))**2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - c - 2. Let o = 20 - 22. Let g be t(o). What is the second derivative of -g*a**2 + 2*a + 2*a + 10*a**2 + 11*a**2 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490758 is divided by 160047?\nAnswer: 10617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = 9. Let i be 16 + z\/6*2. Let w = i - -14. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 175200*l.\nAnswer: 3*l*(l - 58400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:24 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-14 + (12 - -24) + 4 + 10 + -4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4921)\/1653 - (-3 + 0). Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {z: 6, n: 2, q: 1, l: 7, a: 4}.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 16) to base 13.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107026092 rounded to the nearest one million?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 20\/19631353 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -122213 (base 5) to base 6\nAnswer: -33403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -18, -56, -112, -186, -278?\n\"Answer: -9*w**2 + 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 6*f**2 + 3*f**2)*(-3 + 0 + 10) + 15*f**2 - 7*f**2 + 12*f**2 - 4*f**2 + 5*f**2 + 2*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-30) + 3\/5. Suppose 39 = s*m - m. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + (sqrt(171))**2) - (2 + sqrt(19))*-2.\nAnswer: -680 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 950592 divided by 237648?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(1 + (4 - (-4 - -7))). What is the remainder when (11\/b - -2)*(-3648)\/336 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -6. Let x be (1 + 1492\/180)*r. Let o = x + -232. Which is the closest to 0? (a) 5 (b) 2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(5*a - 3*a - 3*a) + 2*a + 0*a - a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2212221 (base 3) to base 7\nAnswer: 6064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 3672?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20271 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - p + 7. Let s(d) = -d**2. Let m(x) = -2*s(x) + y(x). Let w(k) = -k**3 + 14*k**2 - 12*k - 13. Let v be w(13). Determine m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10312.1 - 10312. Which is the nearest to m? (a) 0.3 (b) -2\/5 (c) -3\/2 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90243592 a multiple of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 172 = -124 + 252 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**3 + 8*v**2 - 10*v + 3. Let d(r) = -r**3 - r**2 + r - 1. Let g(f) = -6*d(f) - q(f). Determine g(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9413049*l**5 + 65223*l - 3 wrt l?\nAnswer: 188260980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5 - 19*h - 10 + 7. What are the prime factors of z(-5)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -12 - -2 - (-121 + 132).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1202*r + 163 wrt r?\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 1.01. Let l be (1664\/39)\/((-20)\/18). Let i = -38 - l. Which is the smallest value? (a) r (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/31 (b) -54 (c) -8 (d) 0.6 (e) -223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/(1*sqrt(6)))\/(sqrt(297)\/sqrt(3) + sqrt(11)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*19\/((-19)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66\/13 in -2\/3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k + 4*k + 2*k)*(-2 - 3 + 4)*((2 + 3 - 4)*(0 - 5 + 6) - 3 + 4 - 5).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (42 - -18) - 16 - 11.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -1, -0.7266, 2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 3*o**2 + o - 3*o + 2*o.\nAnswer: -3*o**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 29*y. Let f(h) = -4*h**2 + 28*h - 7. Let c be f(7). Let d be (-8 + -6 - c) + 2. Let m(j) = -188*j. Determine d*m(o) - 32*a(o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*r - 2788, -1391 = 2*r - 4*r - o. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530527 is divided by 3659.\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38315 is divided by 219.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**6 - 446071*i**3 - 29184645*i**2?\nAnswer: -720*i**3 - 2676426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4107648 is divided by 59529.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (665\/(-21) + (-2277)\/(-69))\/(1\/(-39)*-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2211 + 5034 = 7*y. Suppose -867 - y = -3*i. List the prime factors of i.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 0 - (245 + -219).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100a38 (base 11) to base 3\nAnswer: 22020122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 25. What is the units digit of (0 + g)*4\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 3560*x**2 + 10708*x + 7144.\nAnswer: -4*(x - 893)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m, t + 3*m = 4*t. What are the prime factors of -3 - t - 640\/(-10)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3 + 696*r**5 - 800*r**6 - 535*r**5 + 14100*r**2 - 161*r**5 wrt r.\nAnswer: -96000*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24000 times 2097.5\nAnswer: -50340000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:13 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**2 - 4*c**2 + 3*c**2)*(-8 - 1 + 4) + 0 + c**2 + 0 - 17*c**2 + 32*c - 32*c to the form t + n*c + z*c**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 9. What is x(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 = 2. Let c(x) = x**2 + 15*x - 24. Let q be c(b). Calculate the common denominator of 28\/3 - (-28 - q) and -87\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 690*m**3 - m**2 - m + 7 - 88.\nAnswer: -690*m**3 - m**2 - m - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -158 - -219 - (-10 - (5 + -9))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38445819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t + 1. Let s(z) = -12*z - 1. Let h(p) = 5*s(p) + 4*x(p). Let k = 5 + -6. Determine h(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*m + 16*m + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/2)\/f*f*f**(1\/4))\/(f\/f**4*f*f**(2\/5)))\/(((f\/(f*f**(-1\/8)))\/(f*f**(2\/3)))\/(f*f**(2\/3))**(-17)) assuming f is positive.\nAnswer: f**(-2813\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - b - 2432 = 0, 3242 = 4*g - b. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - h**2. Let f be (12\/(-7))\/(2\/(-7)). Let u(l) be the second derivative of l**5\/5 - l**4\/2 + 2*l. Determine f*g(d) - u(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 - 4277*a\/3 + 950\/3 = 0. Calculate a.\nAnswer: 2\/9, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 103 - 4*z**2 + z**2 + 6*z**2.\nAnswer: 2*z**2 + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93594180 by 30930.\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {c: 11, e: 1, b: 8}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -1 - 1\/90*j**5 + 0*j + 1\/2*j**2 + 1\/18*j**4 + 0*j**3. Let b(l) be the second derivative of s(l). Factor b(g).\nAnswer: -2*g*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 36. Are u and 2\/187 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = s + 2*k, 4*s - k - 10 = 0. Factor 6 + 5 + 9 + 5*f + 40*f + 30*f**s + 5*f**3.\nAnswer: 5*(f + 1)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 11*u**2 - 13*u - 3. Let c be l(12). Let x = -13 - c. Solve 0 = 2*j + 2, 3*b + 4*j - x = -0*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158\/5 - 617\/20. Which is the nearest to -1\/4? (a) 2 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by ((-2)\/(-3))\/((-2)\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, f: 6}. What is prob of picking 4 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1144)\/(-156))\/((-164)\/410).\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5532*y**3 + 3085*y**3 + 3483*y**3.\nAnswer: 1036*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948280307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3289 = 103*k - 13177. Calculate the greatest common divisor of k and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + z + 0)*(13 + 5*z**2 - 7 - 3*z**2) in the form s + b*z + p*z**3 + x*z**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -632.0546 - -632. Let x = b - -0.051. Round x to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.137 (b) -0.1 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1713692 and 0.3?\nAnswer: 514107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)\/g)**(-28))**(-30) assuming g is positive.\nAnswer: g**(-7560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 u, and 1 l when four letters picked without replacement from ueolwto?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2885777 rounded to three dps?\nAnswer: -0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41757 - -40833. Which is the third smallest value? (a) g (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 3*f + 2. Let l(d) = 5*d**2 - 3*d - 2. What is 3*l(b) + 4*n(b)?\nAnswer: -b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6799 + 6802. Put -1, a, 934 in descending order.\nAnswer: 934, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3*p**4\/4 + 104*p**3 + 990*p**2 + 4591. Factor w(s).\nAnswer: -3*s*(s - 110)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**4 - 227397*s**3 - 29*s**2 + 57042.\nAnswer: -120*s - 1364382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 90 (b) 0.6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + 0.67. Sort 4, -0.2, g, 2\/11 in increasing order.\nAnswer: -0.2, 2\/11, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 h when four letters picked without replacement from ajkablh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(6\/5))**(1\/7))**(-18\/11) assuming h is positive.\nAnswer: h**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 233509 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875876833 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 63956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1108, -1106, -1104, -1102, -1100?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - (sqrt(104) + -4*(-3*sqrt(104) - sqrt(104)) + sqrt(104) - sqrt(104))) - sqrt(104))\/(3*sqrt(128))*6.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(6)\/sqrt(2))**2 + (sqrt(75) + 0 + sqrt(75))**2 + (sqrt(135)\/sqrt(5)*-2)\/sqrt(9).\nAnswer: -2*sqrt(3) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/20 - y**4\/24 - y**3\/3 + 3*y**2. Let z(q) be the first derivative of d(q). Calculate z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -1\/8, -15, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2769 = 1630*w - 17439 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5\/3 + 16*c**4\/3 + 40*c**3\/3 - 256*c**2\/3 + 116*c - 48 = 0. What is c?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + -47. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 49. Suppose -b - h*m - 9 = -m, 3*m = b - 15. What is the second derivative of 6*o**4 - 10*o - b*o**4 + 2*o - 6*o**5 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 = -5*l + 267 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29849987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -69*j - 3*j**2 + 69*j + 10*j**2. Let s(d) = 15*d**2 + 2*d. Determine s(h(m)).\nAnswer: 735*m**4 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 192*r + 95*r + 98*r + (12 + 2*r - 12)*(-2 - 1 + 2) to k + i*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + r + 8. Let o(l) = -3*l**2 + l + 9. What is -6*o(b) + 7*v(b)?\nAnswer: -3*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*t + 98, -t + 3 = 5*j - 11. Suppose -4*c + 62 = 26. What is the remainder when t is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*((g*g*g*g**(-1\/4))\/g)\/g*g)**(-34\/7)\/(g**(-3)*g**(-4)\/g))**36)**(-2) assuming g is positive.\nAnswer: g**(2700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(-288)\/24. Suppose -2*c - 5 + 1 = -4*d, -4*d = -c - v. Solve -c*o = -3*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(11)*-5)*3*-2.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 26*j + 91. Calculate i(-33).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = 4*z, -2*z + 5*z + 6 = 3*s. Suppose 0 = -5*m - 3*o - s*o + 658, -651 = -5*m + 4*o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10388181 by -8.\nAnswer: 10388181\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0558214 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 6 = 43. Suppose -4*t = 5*v - 362, h*v = 10*v + 3*t - 216. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -16*w. Let n(y) = -50*y**2 + y. Determine v(n(k)).\nAnswer: 800*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -66*o**2 + 192*o**2 - 66*o**2 - 62*o**2. Let b(y) = 1073*y. What is j(b(m))?\nAnswer: -2302658*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 4 (c) -56 (d) 2\/9 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.89 (c) -5.5456\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4401944, 8803965, 13205986, 17608007, 22010028?\nAnswer: 26412049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:08 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s - 8*g + 7*g, -5*s = -2*g - 43. Let q(h) = -12*h + 23. Let u(r) = r - 1. Let v(p) = -q(p) - 6*u(p). What is the tens digit of v(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -5*l + 10*u + 20787, -l - 4*u = -4153. What are the prime factors of l?\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*o**2 + 144*o**3 - 294*o**2 - 86*o**3 - 61*o**3 + 579*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6071 - 3280. What are the prime factors of f?\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24536 (base 7) to base 12\nAnswer: -3892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5*u)*((-2 + 2 - 2)*(-25 - 5 + 11) - 2 + 3 - 2).\nAnswer: -185*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 2, -26, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 27 + 19*q - 23*q - 27*q + 96*q**2 - 97*q**2. Let l be i(-32). Let f(p) = p - 1. Determine f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 864 + 456. What are the prime factors of (4\/10)\/(11\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85 + -81 - (6 - 0)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**3 - 11*y**2 + 14*y - 67. What is the remainder when h(5) is divided by 61?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35613 is divided by 285.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 13*s + 8. Let j be g(0). Let o(y) = 4*y - 4. Let k be o(4). Solve -u = -h - j, h - 3*h - k = -u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**3\/3 + 1. Let r = -94 - -99. Let c(v) = -r*v + 9*v - 8*v. Determine c(u(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*b - 3365, -1912 - 122 = -3*y - 2*b. What is the smallest common multiple of 3 and y?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6767565 to the power of 1\/2, to the nearest integer?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1. Let y(k) = k**2 - 5*k + 7. Let z(o) = o**3 - 2*o**2 - 3*o + 1. Let g be z(3). Suppose -3*s - 8 = -s. Let u(f) = g*y(f) + s*a(f). What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 45850*x - 137565. What is t(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1106426 (base 7) to base 3\nAnswer: -20221120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 2*g + g)*(-49*g - 8130 + 8130 + 4*g**2) + g**3 + g - g to the form c + f*g**3 + x*g + s*g**2 and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2848*j**3 - 251*j + 251*j - 852*j**3.\nAnswer: -3700*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 2.362.\nAnswer: 4.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjjr when four letters picked without replacement from qjjjejeeyyrjrqr?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11*c**2 + 0*c + 2\/11*c**4 - 8\/11*c**3 + 0.\nAnswer: 2*c**2*(c - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 7. Let p be b(5). Let z be (-4 - (-9)\/3)*-1. Let l = p - z. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229 + 235. Let l(r) = 7*r**2 + r - 2. Let o(f) = -f**2. Determine h*o(n) + l(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3441\/35 or -98?\nAnswer: -3441\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-17)*l\/((l\/(l*l\/(l*(l*l**(-17))\/l*l)*l))\/l))\/(l\/(l\/l**(-19)*l*l)*l**(7\/3)*l) assuming l is positive.\nAnswer: l**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 16*y**4 + 41*y**3 + 24*y**2 - y - 5. Let w(c) = 8*c**4 + 20*c**3 + 12*c**2 - 2. Let p = -3 + -2. Let z(a) = p*w(a) + 2*m(a). Factor z(g).\nAnswer: -2*g*(g + 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 - 1 + 1 + 2 + (4 - 1 - 1)*(2 - 2 + 1) + 4 - 3 + 1 + (4 - 5 + 2)*(1 + 4 - 3))*(-m - 3*m - 2*m).\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 882 + -1317. Is k\/(-5) - 1*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**5 + 37*o**4 + 71*o**3 + 40*o**2 - 5. Let k(c) = 4*c**5 - 18*c**4 - 36*c**3 - 20*c**2 + 2. Let m(v) = -5*k(v) - 2*w(v). Factor m(a).\nAnswer: -2*a**2*(a - 10)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose -2*b + 10 = -2*t, 3*b + 3*t + 1 = -2. Suppose 56 = 5*q + i, -q + b*i - 52 = -6*q. Solve -5*j - q = -k*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 376 = -f - 397, -12 = -3*u - 3*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)\/(1 + 37\/(-38)). Let q be s*289\/14 - 6\/14. Suppose -2*h + q = 5*t + 140, 5*t - 650 = -5*h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n - 3*n + 0*n - 2*n**2 + 19*n to j + k*n**2 + s*n and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + q + 3128 - 27472, 3*n + 5*q = 14602. Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 11. Let l(a) be the second derivative of -3*a**3\/2 - 21*a**2\/2 - 2363*a. Calculate 6*l(c) + 11*u(c).\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2699 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1500, -1573, -1676, -1815, -1996, -2225, -2508, -2851?\nAnswer: -3260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -4. Let w be 56\/(-16) - (0 + -3). Which is the second biggest value? (a) l (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z\/(z*z\/z**(-4)))))**(-10)\/(z**4)**1 assuming z is positive.\nAnswer: z**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147.1 - -8.4. Let k = n + 149. Let g = k + -3.3. What is the third smallest value in -0.4, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2027976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1850 + 1864 = g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*r - r**4 - 45 + 2*r**3 - r**2 + 87 + 21 - 44 to c*r**3 + q*r + b + f*r**4 + d*r**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17 = 111*f - 107*f, r - f - 2 = 0. Let b(l) = -6*l - 5 + 0 - 1. Let q(n) = 2*n + 3 - 2 - n. Determine r*b(t) - 16*q(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 45, -13304 = -5*o + 36*c - 37*c. Calculate the remainder when o is divided by 179.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237b11 (base 12) to base 14\nAnswer: 10d04d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1 - 1 + b + 3. Suppose 16*x + x = -68. Let i = x - -4. Calculate n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -5399*i**7\/210 - 1187*i**5\/60 - 50*i**2 - 46. Find the third derivative of p(k) wrt k.\nAnswer: -129576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 7*c - 2. Let a be l(-7). Suppose a = 3*d - 0*d. Suppose -2*z + d = -38. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5587093 to the power of 1\/2, to the nearest integer?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:34 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27153.92037 rounded to the nearest 100?\nAnswer: -27200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 7. Suppose 2*l = 3*f + 10, 0 = 4*l + 2*f - 19 - 17. Calculate h(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21*(-6)\/(-26) - 5. Let n = -47.88 - -47. Let k = 0.9 + n. Which is the second smallest value? (a) t (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, 0.4, 2\/11, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178.3 + 178. What is the third biggest value in -6, x, -3.8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - 47. Let p = -101 - y. Sort p, 10, -2, -4 in ascending order.\nAnswer: -4, p, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 33*j**4 + 126*j**3 - 192*j**2 + 96*j.\nAnswer: 3*j*(j - 4)**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 236?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - l - 90 = 0. Calculate the greatest common divisor of l and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 54*g - 695. Let b be i(13). Solve 0 = -b*s + 9*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -52. Let r = -27 + z. Which is the smallest value? (a) 2\/5 (b) r (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*(-33)\/(-836)*(-40)\/3015.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (70*b**2 + 178*b - 178*b)*(-3*b**2 + 6*b**2 - 6*b**2) as y + m*b**4 + u*b + k*b**3 + w*b**2 and give m.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2423 - -2452. What is the nearest to 1\/4 in -0.06, -4, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, -13, -2 in decreasing order.\nAnswer: 2, -1, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 60. Suppose -5*r + 4*u = -41, -7 = -3*r - 4*u + t*u. Suppose -r*y - 2*y + 91 = 0. Solve 3*f + 0*d + y = -4*d, -5*f = 4*d + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161965.7 times -5?\nAnswer: 809828.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 2*c)*(8*c**4 - 5*c**4 + 0*c**4) + 40*c**2 + 2*c**5 - 3*c**5 - 33*c**2.\nAnswer: -7*c**5 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*1) + 1 + 0 + sqrt(19) - (sqrt(57)\/(sqrt(12)\/sqrt(4)))**2*1.\nAnswer: -18 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c - 1. Let s = 153 + -86. What is the remainder when s is divided by q(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuw when three letters picked without replacement from {u: 9, w: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.127 - -178.127. Let n = z - 157.2. Round n to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 - -20201?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 67666*d**2 + 154*d + 155. Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -289, -437, -585, -733, -881?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/((-5)\/97*2) and -9\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2519*w + 2. Let n(o) = 5*o - 98. Determine q(n(k)).\nAnswer: 12595*k - 246860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*p + 13, 4*l = 3*l - 2*p + 7. Calculate the remainder when 6 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (4 + -4))*1. Suppose -w + 16 = -5*w - 3*m, y = 2*m. Let b be w\/(-2) + (-17 - -18). Solve -2*s + 13 = -5*z - b*s, 2*z + 4 = -s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4759 - -147503\/31. Let d = -197\/124 - r. Let t = -0.9 + 2. What is the fourth smallest value in 3\/4, t, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308420199?\nAnswer: 3, 59, 181, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*k = -2, -5*f + 0*k + k = -17. Differentiate 2 + 2*s**3 + f - 6 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from kgugrk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 637b - 72?\nAnswer: 6309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3018*o - 3019*o = 3*y + 15, 3*y + 6 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -21 + 3. Let l(y) = -y**2 + 52*y + 6. Let g be l(13). Let i = g + -459. Calculate the greatest common divisor of i and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25249, 25224, 25197, 25180, 25185?\nAnswer: 25224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/7 - 792*o**2\/7 - 1580856*o\/7 + 813380864\/7 = 0. Calculate o.\nAnswer: -928, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 7:44 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**4 + 0*r**4 + 0*r**4)*(-1 + 1 + 1)*(-269 + 187 + 1305) as s*r**3 + f*r + v*r**4 + u + b*r**2 and give v.\nAnswer: 1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -11 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -66 + (3 - 0)\/(24\/16). Let a = x + 67. Differentiate 490*u**2 - 6*u**a - 490*u**2 - 12 with respect to u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + 13)*(-3)\/(-12). What is the closest to -13 in v, -4\/3, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 1955773.\nAnswer: -1955759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 691677, 1383366, 2075083, 2766840, 3458649, 4150522, 4842471?\n\"Answer: 2*j**3 + 2*j**2 + 691669*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 10) in base 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 24634399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27070 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 7*w**5\/12 - w**4\/8 - 4*w**2 + w - 11. Let p(b) = -1645*b**2 + 140*b. Give -3*p(h) - 140*q(h).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2142294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -7*r + 5*s + 53, s = r - 12. Suppose 0 = -2*h + 4*h + 130. Let o be 0 - (-2)\/(-1) - h. Calculate the greatest common divisor of r and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c4 + -233ec?\nAnswer: -22d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -7. Let w = -4 + x. Let n = 12 - w. Sort n, 0.3, -0.7 in decreasing order.\nAnswer: n, 0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 18*p**4\/13 + 8132*p**3\/13 - 18152*p**2\/13 + 3632*p\/13 = 0?\nAnswer: -454, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4 - 396. Let c = -74 + j. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -2, -11, 4 in descending order.\nAnswer: 4, -2, -11, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22458, 22758, 23058?\nAnswer: 23358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2. Let r(y) = -6*y**2 - 17*y + 25. Let i(d) = -5*p(d) - r(d). List the prime factors of i(-25).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + -0.08. Let h be -1 + 2 - ((-451)\/(-77) - 5). What is the closest to -1 in h, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46900 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m**(-22)*m))))**(2\/59))**48 assuming m is positive.\nAnswer: m**(2112\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -49, -53, -59, -67, -77?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 72800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2363882440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257 - 174. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -359\/5 (b) 1\/3 (c) 3 (d) -1.3 (e) -129 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -68. What is the units digit of 28\/(-3)*(-51)\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/73 (b) -3.85 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143190281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 201*r**2*t**3 + 58697*r**2 - 971886*t**3 + 3*t**2 + t + 6 with respect to r.\nAnswer: 402*r*t**3 + 117394*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3745851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -24*y**3 - 3*y**2 + y. Suppose -5*v + 18 - 13 = 0. Let b be i(v). Let f = 36 + b. What is the least common multiple of f and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/4 + 1264*u**4 + 7728889*u**3\/4 + 1855258745*u**2\/2 - 3733744625*u + 3741493750 = 0.\nAnswer: -2710, -1175, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c5 + -10d4?\nAnswer: -70e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 92. Suppose -2*f + 2 = 10, 3*f + 12 = -d*o. Suppose -3*n + 11*l - 16*l + 144 = 0, o = 4*n + 2*l - 192. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**4 - i**3 - 2472*i**2 - 20*i - 10. Let u(k) = k**4 - k**3 - k**2 - 4*k - 2. Let z(t) = -f(t) + 5*u(t). Find the third derivative of z(q) wrt q.\nAnswer: -72*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9523\/6 - -1587. Let i be (-60)\/(-9) - (-2)\/6. What is the third biggest value in i, l, 3, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 284565, 2276574, 7683457, 18212652, 35571597, 61467730, 97608489, 145701312?\n\"Answer: 284573*h**3 - h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d - 55*d + 23*d - 57*d. Let s(x) = 2*x**2. What is s(l(p))?\nAnswer: 11858*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 12. Let a(o) = 40*o**2 + 6*o - 1. Is a(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4037.502ns?\nAnswer: 4.037502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98100 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -109 + 66 + 42 + 8 + -9 + (-2 - -42)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. What is the least common multiple of 8 + 6*(-2)\/4*1 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 51*c - 50. Let v(d) = -103*d + 82. Determine -5*b(f) - 3*v(f).\nAnswer: 54*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 72*x - 37. Let c(r) = 221*r - 113. Give -4*c(f) + 13*p(f).\nAnswer: 52*f - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + 0*m)*(-114356*m + 10 + 114356*m + 24*m**2).\nAnswer: 24*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6) + (5 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700896090 by 5.\nAnswer: -140179218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 20) + 13 + -30 + 26 + 0 + -53.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)\/(y**(-1\/19)*y*y))\/(y\/((y*y*y*y\/((y*y\/(y**(-2\/9)\/y))\/y)*y)\/y))**(-14) assuming y is positive.\nAnswer: y**(-28877\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*n - 40 = 0, -3*f - 1 = f - 3*n. Let w = -24.63 - -29.63. What is the nearest to 2 in w, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -21436.9.\nAnswer: -21436.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/4)*i**(-3\/7) assuming i is positive.\nAnswer: i**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*i + 21, 4*j - 2*i - 7 = 27. What is the highest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 0.5 (b) 7 (c) -3 (d) -12 (e) -0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 51, -16, -62 in descending order.\nAnswer: 51, 3, -16, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m + m)*(-2 + m**3 + 2) - m**4 - 247 - 45*m**2 + 247.\nAnswer: -2*m**4 - 45*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4444 from 0.91577198066.\nAnswer: 1.36017198066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2932 - -64481\/22. Let n be (-328903)\/126 + 2\/7. Let x = 2616 + n. What is the common denominator of i and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7093*r - 7247*r + 11160 = -14160*r for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -213256?\nAnswer: 5971168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/320 (b) -0.83 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6068.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 503*n - 22645. Determine w(-50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 - 138*u**3 - 1155*u**2 = 0 for u.\nAnswer: -35, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492978?\nAnswer: 2, 3, 82163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 295341546 and 1590.\nAnswer: 1476707730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/(-14) + (-104)\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7045681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*n = 22, 5*n = 4*p + 2*n - 20. Suppose -20 = -5*f - p*i, 3*f - f + 5*i = -13. Which is smaller: 24\/5 or f?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271133.\nAnswer: 17, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - -18. Let j = w - 57.6. Suppose 6*k = -0 + 6. Which is the second biggest value? (a) -0.2 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -16.1. Which is the closest to t? (a) -4 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -8*i**3\/3 + 11*i. Let p(c) = -c**2. Calculate p(d(b)).\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)\/((-2)\/(-8)) + 2. Let s be 11 + 49 + (t - 0). Suppose -i = 5*g - 77, 0 = -4*g + i - 0*i + s. What is the remainder when 27 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 10*w + 3. Let m be g(5). Suppose 0 = -m*y + 58 + 23. Suppose y = 4*j + 5*k, 2*j - k = j. Solve -3*o - 5*z = 15, -4 = 5*o + j*z + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/4 - 2*b**3\/3 - 5*b**2 + 7*b - 12. What is the units digit of c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/9*(-252)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(-3*t + 3*t - t**2) - 4*t**2 + 2*t**2 + t**2 to the form o*t**2 + n*t + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/2 (b) 26 (c) -8 (d) 0.3 (e) -36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4516\/(-1))\/(-4)*(5 - 4)?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 9*q + 123 = 0, 974*l - 976*l + 3*q = 53 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -60?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22030303101101 + -2?\nAnswer: -22030303101103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13747, 35329, 56907, 78481?\nAnswer: 100051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6*g**5)*(-1 + 0 - 3).\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 83, 229, 517, 995, 1711?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5204 + -5108. What is the lowest common multiple of 8 and h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syeqoqvqveqyvqy. What is prob of sequence yyqs?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2725.11909 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.9 - -24.9. What is the closest to w in 2, 3, -0.2, 3\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*224\/140)\/(40\/650).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 1024*t**5\/3 - 1408*t**4\/3 - 404*t**3 - 134*t**2\/3 - 4*t\/3 = 0.\nAnswer: -1\/2, -1\/16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*-2*1\/6. Suppose t*k + 50 = 5*k. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6*q\/(q\/(((q**(-3\/2)*q)\/q*q)\/q)*q)*(q**(1\/3))**(-27) assuming q is positive.\nAnswer: q**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from ppoppppoppppoobpo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*t - 7*t - 11*t as j + l*t and give l.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 3 + 13)*(21*h + 5*h + 0*h) in the form d*h + x and give d.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {k: 6, h: 5, g: 1, f: 2, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/69 and -53\/108?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 16 + 4 = 0, 5*s + 9 = 3*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-4)\/((-24)\/1830) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(14 + b - 14 + (1 - 1 - 2*b)*(1 + 1 - 1)) to the form a*b + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 7 = m, 0 = -3*m + 4*m - 3*j + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1346906 - -4359906. What is c rounded to the nearest 10000?\nAnswer: 3010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*t**4 - 61*k**2*t**2 - k**2 + 6900855*k*t**4 + 8701*k*t**2 wrt t?\nAnswer: 24*k**2*t + 165620520*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let z(s) = 2*s. Let h(q) = -w(q) - z(q). Let l be -3*((-2)\/7)\/(6\/(-28)). Calculate the remainder when 11 is divided by h(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 620 + -614. Let l(z) = 4*z**2 - 9*z + 7. Let p(m) = -m**2 + m - 1. Give v*p(a) + l(a).\nAnswer: -2*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 42\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.14856.\nAnswer: -0.14856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31510, 31521, 31546, 31591, 31662, 31765, 31906, 32091?\nAnswer: 32326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92017)\/104709 - 17\/(-11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131 - -22431?\nAnswer: 22562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -44)\/1*(-664)\/2656.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/121561 and -85\/3182688.\nAnswer: 35009568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 3*q + 1. Let r be c(3). Let v be 12\/(-8)*2 + 0. Let i(d) = d**2 + d. Let s(p) = p**3 + 3*p**2 + 3*p. Give r*s(u) + v*i(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3392515 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13772 (base 8) in base 6?\nAnswer: -44230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - k + 6. Determine p(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1688292 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*y + 23*y - 17201*y**2 + 17200*y**2 as b*y**2 + x + c*y and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -0.3 (c) -18 (d) 3\/5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z - 2. What is the remainder when 59 is divided by d(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 11*w - 12. Let t be y(10). Is 5 a factor of 30*(t + 1)*6\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127435 + -29055229\/228. Let m = l - 2\/57. What is the nearest to m in 1, -3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k**2 - 7*k. Let b be q(1). Let d be 30*(2 - (-44)\/(-24)). Solve 10 - 34 = 4*y + 4*f, -b*y + d*f = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23437 divided by -104.\nAnswer: 23437\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 14. Suppose 0 = 3*t + 4*m + 8, t + 0*t + 11 = -3*m. Suppose 27 = t*z - z. Calculate the greatest common divisor of z and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - -7) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 7*j**2 - 8*j + 14. Let w be r(7). List the prime factors of (-14)\/w + (-3921)\/(-9).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 106\/41 (b) -0.1 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - f**2 + f + 3. Suppose 3*v = 2*h - 6, -2 + 14 = 3*v + 4*h. Give l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s**3 - 2*s**2 - 475*s + 258384 wrt s.\nAnswer: -36*s**2 - 4*s - 475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6140)\/(-15)*(-84)\/(-56) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7341808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*a + 60 = 5*l, 0 = 5*a - 25. Let p = 280 + -280. Solve -2*z - 5*r + 28 = 0, 3*r = z - p + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + -3 + 2 - (-22 + 19 + -2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*m + 93, -5*m + 121 = -2*m - 4*a. Suppose 0 = -4*s + m + 97. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:17 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*f**3*v**2 + 58761*f**3*v + 2*f**3 + 82*f**2*v**2 - 238*f**2*v - 37*f*v**2 wrt f?\nAnswer: -390*v**2 + 352566*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f = 28*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9678 + -9563. Calculate the remainder when 444 is divided by j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207140472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 1092. Suppose -p + x = 3*a, -1116 = -3*p - 3*a - 0*a. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(611 - 611 - 147*i).\nAnswer: 147*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 942 and 5181?\nAnswer: 10362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -265, -7, 251, 509, 767?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56259*z + 200 + 97 = -56270*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + 5*u. Suppose -4*g + 20 = 0, 2*g - 8 = -2*s - 6. Give m(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 37. Let v be 0\/(2 - 1)*1. Let r be g(v). Let o = r - -72. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 878 + -853. Suppose 6*m - 7*m + 75 = 0. What is the highest common factor of d and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31, -179, -415, -733, -1127?\n\"Answer: h**3 - 50*h**2 - 5*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*(1 + 1) + (-91 - -86)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a077 (base 11) in base 9?\nAnswer: -20332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1401 - -1401. Let g be -3 - ((-84)\/16 + 2). Which is the fourth smallest value? (a) g (b) -10\/7 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.869 + -0.069. Which is the fourth biggest value? (a) -3 (b) 1 (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15687 and -6.\nAnswer: 15681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502720239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1337 times 228565\nAnswer: -305591405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(156)*-3)\/(-1*sqrt(972)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20118690 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/((-33)\/2200*-15).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 3*j**2 - 2*j + 2. Let t be l(3). Let z = 1.84 + 0.16. Which is the nearest to 0? (a) t (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.2, 47, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1695*o + 818*o + 6 + 870*o. Let x(z) = 1. What is -3*b(c) + 21*x(c)?\nAnswer: 21*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 + 4 = -634*q + 629*q, 5*q - 25 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - d = 4*d - 5, f - 7 = 4*d. Let a = -3 - f. Let t be (-1 - -3) + -3 - -1. Solve 3*l + t*l + 16 = c, 0 = -a*l + 5*c - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21 and 133\/7932.\nAnswer: 55524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66179572.\nAnswer: 2, 17, 47, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -172067 divided by 7\nAnswer: -24581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 65 = -45 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0*t)**(29\/4)\/(t\/(t\/(t*t*t*t**32))*t*t*t)**(-10))**(-26) assuming t is positive.\nAnswer: t**(-10257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -3\/20*y**5 - 5 + 0*y**2 - 1\/10*y**6 + 2*y + 1\/2*y**3 + 1\/4*y**4. Factor x(s).\nAnswer: -3*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h + 4. Let q(w) be the second derivative of w**3\/3 - 9*w. Determine q(r(k)).\nAnswer: 8*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56 plus 35823342?\nAnswer: 35823343.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 11. Let u be k(-8). Suppose -7*i + u*i + 12 = 0. Suppose -1656 = i*w + 1344. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -2*g**3\/3 + 3*g**2\/2 + 8*g. Let f(c) = -23*c + 17. Let k(p) = 6*f(p) - 34*w(p). Let y(q) = -8*q. Determine y(k(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + 8*o - 20. Let i be d(3). Solve -5 = -2*v + 5, 0 = -i*s + 2*v - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p + 77, 4*f - 246*p - 189 = -243*p. Let b = 327 + 51. Calculate the highest common divisor of b and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1076, -4366, -9856, -17552, -27460?\n\"Answer: -d**3 - 1094*d**2 - d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*d + 72. List the prime factors of 3676\/18 + ((-10)\/d)\/(-1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5.4. Which is the third biggest value? (a) r (b) 4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/24)\/(14\/27). Let v = 1\/8 + m. What is the smallest value in v, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4, c: 6, o: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, f: 4, e: 1, l: 5}. Give prob of picking 3 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455 divided by 420?\nAnswer: -97\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**4\/6 - c**3\/3 + 32*c + 18. Let q(b) be the first derivative of i(b). Factor q(k).\nAnswer: 2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:09 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 12:19 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*f - 4 = -5, 3*f = 2*p - 1. Let b be (-1)\/(3\/(-102)*p). Let l = -41 - b. Let m(c) = -3*c + 2. Let y(k) = 10*k - 5. What is l*m(t) - 2*y(t)?\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 580874 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36804333 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1330*w**2 + 14*w + 8. Let u(f) = 886*f**2 + 9*f + 5. Calculate 5*t(j) - 8*u(j).\nAnswer: -438*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(39\/(-182))\/((-1)\/14). Solve -t - 5*h = 18, 10 = -o*t - 4*h - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/228 and (-2)\/5016*-2*1186 + -1.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/391711 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 33 + 35 = 0. Does 10 divide 47*k*(12 - 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1888 + 4259. Suppose x = -3*c - 18329. What is c rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 1)*(-2*q - 6*q + 0*q)*(5*q**3 - 2*q**3 - 2*q**3)*(-2 - 2 + 2) in the form o*q**3 + g + s*q + v*q**4 + x*q**2 and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 636697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/23 + (-66)\/(-759).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmmm when four letters picked without replacement from mmymgmyimmmmyyiigmim.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(((o**(-2\/5)*o)\/o)\/o))**(4\/5)\/((o\/(o\/(o**(3\/2)\/o)))\/o**(-3)))**(-11\/5) assuming o is positive.\nAnswer: o**(429\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2988528.\nAnswer: 2, 3, 23, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26\/75 - -9\/50. Let q be 4 + ((-208)\/(-12))\/(-4). Which is the nearest to 0.2? (a) -2 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2. Let r(m) = -43*m - 12. Determine r(b(n)).\nAnswer: 86*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sea when three letters picked without replacement from {e: 3, a: 2, d: 4, s: 10}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -3*t + 2*v, v = -4*t - 0*v + 134. Let m(n) = -n**2 + 25*n - 75. Let h be m(23). Let p = t - h. What is the remainder when p is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/12)\/(-6))\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*y + 30, -2*b + 0*y - 4*y + 20 = 0. Find the second derivative of -7206 + 13*h + 6*h**b + 7206 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 9*t**2 - 3*t + 8. Let d be r(-9). Let h = d - -29. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 7*i**2 - 5*i + 1. Calculate s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000707 rounded to 6 dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5188643 divided by -6\nAnswer: -5188643\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/137889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/21))\/(c**(-2\/15)\/c))\/(c\/(c*c**(-9)*c))**26 assuming c is positive.\nAnswer: c**(-21626\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17592*l + 11650*l**2 - 17592*l.\nAnswer: 11650*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 7 - -1) + 6\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-12))\/p*p\/(p**(-5)\/p*p))**(-29))**(-2\/37) assuming p is positive.\nAnswer: p**(-348\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 42 = 0. Let m be (d\/6)\/(1\/(-9)). Which is smaller: -20 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**4\/8 - 18350583*o**3\/2 - 224495894258757*o**2\/4 + 224495949310509*o\/2 - 448991935322187\/8 = 0.\nAnswer: -12233723, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.3 times -109776?\nAnswer: 4423972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**8\/336 - 5*d**4\/24 + d**2 - 1. Let c(l) be the second derivative of k(l). Find the second derivative of c(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3054?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 622646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1200 and 60?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 45. Let i be (-2)\/(-6)*f\/4. Suppose -i*q = -2*n - 3546, -421 = -q - 3*n + 469. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*d**2 + 15*d**2 + 2 + 0.\nAnswer: -135*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 1952\/17. Sort 0, d, -5 in descending order.\nAnswer: 0, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -361, -189, 61, 401, 843, 1399, 2081?\nAnswer: 2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*k**4 - 4*k**5 + 3*k + 49*k**4 wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02302 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 21\/5*f**3 - 27\/5*f - 3*f**4 + 63\/5*f**2 = 0. What is f?\nAnswer: -3, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a**3 - 10*a**2 - 7*a**2 - 2*a + 25*a**2 - 5*a**2 - 40*a**3 to the form h*a**3 + i*a + t + z*a**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3259 and 284.84.\nAnswer: -2974.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4 - 8034\/12. What are the prime factors of v\/(24\/(-4)) - 5?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 35*s + 10. Let t = 23\/3 - 8. Which is the closest to t? (a) s (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3*f - 7. Let y be z(-5). Suppose 25 = y*p - 38. Let h be (-12)\/(-8)*14\/3. Calculate the greatest common factor of h and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p - 2. Let s be 5\/2*(-7 + 296\/40). Let l(x) = -7*x - 7*x + 15*x. Determine s*d(o) - 3*l(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/8)\/8*(90\/(-24))\/((-12)\/32).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -472, -476, -480?\n\"Answer: -4*o - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -1.64.\nAnswer: 27.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 5) + 71 - 6. Solve 0 = 6*b + 8*b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357*1\/3*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7148 + -7136. Let w(t) = -2*t**3 + 25*t**2 - 13*t - 9. What is w(b)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let f(o) = -13*o - 11. Let m(y) = 4*f(y) - 44*z(y). Let h(b) be the first derivative of -2*b**3\/3 - 111. Calculate m(h(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(14)\/sqrt(2) + -4)**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4 + 15 - 6*b - 2 - 3. Determine p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1854*r + 52315 = 57113 + 78222 + 63446 for r.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11937 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28 * -341\nAnswer: -9548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r - 1. Let z = 6 + -5. Let h be a(z). What is g in 6*g**2 + h + g**3 + 3*g**3 + 6*g + 0*g**3 - 2*g**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 t, and 1 k when four letters picked without replacement from {a: 5, x: 1, w: 2, k: 1, t: 3, p: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-2)\/(-1)*(-9)\/42. What is the smallest value in -1, l, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*v - 5*s, 4*v - s = -3*s + 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 72. Let v = q + 31. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) - sqrt(10)\/(sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3))))**2 + sqrt(2).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:26 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9)\/45 - -1\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6036.71 centuries to years.\nAnswer: 603671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.095 times -13\nAnswer: 1.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197189761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -144462226200 rounded to the nearest 1000000?\nAnswer: -144462000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7404805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/90 and 47\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32809a + -26?\nAnswer: 328074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 2, h: 10, q: 1, g: 3}. Give prob of picking 2 h and 1 g.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1062 and 71\/63?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1701?\nAnswer: -1\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-15))\/(3\/90). Let h be 1 + (-51)\/k + 3. Let q = -0.3 + 0.2. What is the closest to q in h, -5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 7*z**2 - 5*z - 211. Let p be y(-9). Which is the third smallest value? (a) -0.18 (b) -4\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -3*j + 21, 0 = -j - 3*b - 7. Solve l + 5*i = -15, -4*i = -4*l + j + 34 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 516643698.4\nAnswer: -516643692.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/25, -1\/4, 62, -12\/19?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -39*v + 2. Let c(i) = 18*i**2 - 4*i - 4. Let a(h) = -24*h**2 + 5*h + 5. Let q(s) = -4*a(s) - 5*c(s). What is j(q(y))?\nAnswer: -234*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 24. Suppose -55 = -5*g - a - 4*a, -38 = -s*g + 2*a. What is the least common multiple of g and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 21*n**3 + 201 - 96.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(6\/(-3)*-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -49*f - 127. Suppose 0 = 4*a - 108 + 188. Is h(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2474*a - 724889. Calculate z(293).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12.9. Let z = -2.2 + d. Let v = -1.2 - z. Which is smaller: v or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o - 1. Let i = 27 - o. Suppose 2*x - 26 = -c, 5*x - 3*c - 83 = -c. What is the remainder when i is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000003331 (base 4) in base 13?\nAnswer: -92585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j**(-4\/7)*j**(3\/5)*j**(-2\/19))\/((j**(2\/3))**(-1\/5))**(-1\/16) assuming j is positive.\nAnswer: j**(78443\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.359 - 1.641. Let n be (-2 + 0 + 0)*(-2)\/22. What is the nearest to n in 0.1, 9, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/3 + 112270*s - 673612\/3 = 0?\nAnswer: 2, 168403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 + 140.1. What is the biggest value in -0.2, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170321, -340640, -510959, -681278, -851597?\nAnswer: -1021916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + (-2304)\/352.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-10))\/(1611\/(-5370))*(-27)\/2.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b**5\/5 + 143*b**4\/5 - 5131*b**3\/5 - 2303*b**2\/5 + 2964*b\/5 = 0. What is b?\nAnswer: -39, -1, 0, 4\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4461, 5878, 8237, 11538, 15781?\n\"Answer: 471*p**2 + 4*p + 3986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41880, -41894, -41918, -41952, -41996, -42050, -42114?\nAnswer: -42188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10846 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/145 and -61\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-9)\/(-216)*60\/84?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/11, 3\/3416, 0.001, -1\/4, 2\/9?\nAnswer: 3\/3416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-1 + 0))*-5. Let i(q) = -q. Let t be i(-15). Let u = t + b. What is the smallest common multiple of 14 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*b + 58. Let i(n) = 3387*n + 3392*n - 6796*n - n**b. Let y(z) = -2*z. Determine -6*i(r) + 51*y(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 489794835 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*p**3 + 2355*p**3 - 470 - 1172*p**3.\nAnswer: 2*p**3 - 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1198297?\nAnswer: -1198297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.12 - -0.18. What is the nearest to 0 in -2\/7, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyfdfvkvyvfvkfvy. What is prob of picking 1 k, 2 f, and 1 d?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/7 (b) 5 (c) -5 (d) 0 (e) -3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o + 55*o + 12 = 0. Suppose 2*b - h - 3 = -2*h, 0 = -o*b + 5*h + 37. Solve 0 = p - 2 + b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100693462?\nAnswer: 2, 50346731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7 - ((-1093 - (6 - 10)) + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Let z be ((-4)\/8*-4)\/(6\/21). Suppose 0 = -10*n + 13 + z. Solve -n*x - h = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -276, -2, -7\/2, 2, -6 in descending order.\nAnswer: 2, 1\/5, -2, -7\/2, -6, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 - 771*v + 419. What is the hundreds digit of y(126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 12 - -56) + -82\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1519, -1521, -1523?\n\"Answer: -2*q - 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/11 + 1638*t**4\/11 + 3282*t**3\/11 + 1642*t**2\/11 = 0.\nAnswer: -1, 0, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u**2 + 4*u + 6. Let a be c(-3). Suppose 0*o + 1130 = 4*w + o, 3*o = a*w - 840. Let b = w + 439. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 - 5*c**2\/2 + 3*c - 7. Let h be j(-5). Solve -h*n + 2 + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 - 43*k**3 + 24*k**3 + 584.\nAnswer: 2*k**3 + 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let l(g) = 15*g + 11. Let w(q) = 4*q + 3. Let r(u) = -8*u - 6. Let y(m) = -6*r(m) - 10*w(m). Let z(f) = -6*l(f) + 11*y(f). What is z(x(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 - 4*q + 6. Let x be p(2). What is the fourth smallest value in 5, x, -1\/18, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361465\/(-16683)*36\/26.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1281 - 2479 = 0. Suppose 0*s - 4*s = o. Let a = -75 - s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872603080?\nAnswer: 2, 5, 139, 156943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3842906 and 34586146\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1148256 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12149700.3 milliseconds to days.\nAnswer: 0.14062153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 156386431 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1161*w - 6968. Let u be r(6). Put u, -803, 5 in descending order.\nAnswer: 5, u, -803","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*b**3\/4 - 453*b**2\/4 + 165*b\/2 - 6 = 0. Calculate b.\nAnswer: 4\/49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -83. Suppose 4*n - n = 51. What is the greatest common factor of n and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + -4 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-120)\/96*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1000 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/12 - x**4\/4 - 7*x**3\/6 - x**2. Let p(c) = c**2 - c - 1. Let v be 5 + 3 + 0 + -4. Let z(r) = v*p(r) - b(r). Give z(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from hzzawohffahoho?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.54 - 0.46. Suppose 0*y - 4*r - 15 = -y, 0 = 5*y - 5*r. Which is the smallest value? (a) y (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 25 + 30)*(2*r**5 - 2*r**5 - 5*r**5).\nAnswer: -485*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17032, 34066, 51100?\n\"Answer: 17034*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (6 - (-10 - -29))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*o - 4, 16 = 4*h - 2*h + 4*o. Let r = h - -12. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 5*c**2 - c - 3. Let v be l(-6). What is the tens digit of 1105\/v + 4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -175, -142, -91, -16, 89, 230, 413?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.04 + -3. Let j = w + 0.03. Let s = -467.7 - -466.7. What is the closest to 0 in s, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 252633465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.4 + -221.4. Let j = w + 200.9999849. What is j rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 10482845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 604 + -649 + (17 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1478111146 to the nearest integer?\nAnswer: 38446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from hgvzzjjvjjhjttzjjt.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1542 and 101\/48.\nAnswer: 12336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - 1.01. Let c = z + 1. Let t = 153\/580 + -2\/145. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -7. Let p = -34 + t. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/3978*104*(-63)\/(-308)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 3*v**2 + 2*v - 1. Let z be c(2). Suppose z*k = -29 + 127. Suppose 5*o + k = 4*x, -x + 4 = -5*o - 7. Is 2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 171*r**3\/5 + 4962*r**2\/5 - 4497*r - 396\/5 = 0?\nAnswer: -33, -1\/57, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, 0.4, -0.3, 0.1, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14258888.\nAnswer: 2, 7, 254623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 14 = 0. Let o(r) = -r**3 + 5*r**2 - 4*r + 4. Let i be o(7). What is the least common multiple of h and i\/(-15) - (-20)\/(-150)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2635.5 - -2.\nAnswer: 2637.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7218878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25234342 + -123?\nAnswer: 25234215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbobtmrbmbmommmbbx. Give prob of picking 1 r and 1 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3*w**4\/2 - 10*w**3\/3 - 2*w**2 - w - 1. Let q(j) = -5*j**3 - 9*j**2 - 3*j - 1. Let t(b) = 7*q(b) - 6*r(b). Factor t(m).\nAnswer: (m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 0 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + (-3)\/((-3)\/(-7)). Let t(n) be the second derivative of -7*n + 0 + 1\/12*n**4 - 1\/6*n**3 - 1\/2*n**u. Calculate t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2. Let g(b) be the first derivative of 0*b + 425\/3*b**3 - 234 + 0*b**2. Give g(o(a)).\nAnswer: 425*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r + 544. Let d be k(-38). Calculate the highest common divisor of 84 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.459 + -112.5. What is the second biggest value in 4, q, -0.7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 44. Let q be (-16 - 4)*(-2)\/5. Let b(y) = -y**3 + 8*y**2 + 3*y + 7. Calculate the remainder when b(q) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**3\/3 - 7*y. Let k(g) = 2*g**2 - 3*g**2 - 2*g**2 + 4*g**2. Determine h(k(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/20 - v**4\/12 - v**3\/6 + 19*v**2\/2 - v. Is d(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*h + 36, 0 = -751*o + 758*o - h + 58 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 11*l**2 - 12*l + 2 + 124*l + 73*l.\nAnswer: 2*l**2 + 185*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 1. Let c be (v + (7 - 1))\/(-1). Sort 3, 0, c.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 4*h + 8*h)*(-h + 0 + 0) - 1 + 0 + 2 + 2*h**2 as y + u*h**2 + s*h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 z when three letters picked without replacement from {h: 1, f: 2, s: 1, z: 1, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821*t - 48 = -833*t. Suppose -2*n - 2*n + 45 = 3*m, 3*n - 31 = -2*m. Let r = 25 - 20. Solve t = -r*q - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 7*y + 13 = -2*y + 8*y, 57 = -45*o - 5*y - 48 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/5 + (0 - -2). Suppose -7*w = -3*y - 9*w - 7, -y + b*w + 11 = 0. Solve y + 2 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 + 2*i**2)*(-2*i**2 - i**2 + 2*i**2) - i**4 - 2*i**4 + 4*i**4 - 9*i**4 + 6*i**4 - 4*i**4.\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1358 - 1418. Let j = -950.1 + 1011. Let r = j + m. Which is smaller: -0.02 or r?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h**2. Let m(p) = -40*p + 282. Let i be m(7). Let d(x) = 3432*x - 3432*x - 4*x**i. What is d(l(w))?\nAnswer: -1156*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 1 + 218*s**2 - 5*s**3 - 155*s**2 wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322084 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/15*1)\/((-4)\/64)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 + 17 + f + 1. Suppose 2*u = 4*u. Is b(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = -3*f, 9 = 4*f - 0*f - 3*c. What is the nearest to -0.1 in -1\/2, -5, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77.4 + -102. Let r = 0.075 - 35.075. Let l = r - g. Round l to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 514 + (-2)\/(-2) + (-30)\/15. Let q = r + -509. Solve -q*m - 4*j + 20 = 0, 2*m + 8*j = 4*j + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -12. Let v = 214321 + -214324.00054. Let y = w - v. What is y rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 32. Suppose -d = 4*v - v. Calculate the remainder when (-78)\/9*v\/2 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-35)\/(-10))\/((-30)\/(-147)). Let r = x + -32\/5. Calculate the common denominator of r and -37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:29 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*i - 120, -3*i + 66 = 185*a - 182*a. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 26*p + 16*p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26440, -3 in decreasing order.\nAnswer: 2, -3, -26440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 10*p - 5. Let h(v) = v**2 - v + 1. Suppose -2*s - 36 = 17*s + 59. Give s*h(l) - n(l).\nAnswer: -2*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.644349 millilitres?\nAnswer: 0.006644349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 19. Let m be w(-8). Sort 0, 1, m.\nAnswer: m, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 0*s)*(-426*s**2 + 3934*s**2 + 6509*s**2 + 0*s + 0*s).\nAnswer: -10017*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 417*y**2 - 306*y - 20434. What is p(-208)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-77)\/63 - -1) + (-1 - -1). Sort l, -5, 5.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d**2 - 10*d**2 - 8*d**2 as j + k*d + l*d**2 and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 39.8, 0.2, -0.5, -0.7, -1, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11309 - 11229. What is the highest common divisor of g and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 109.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 - 1 - (2 - 3). Let m be 1*(5 - (-2 + 2)). Suppose -m*p = -n, -3*p - 12 + 37 = 5*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d**2 + 360*d + 21. Give l(36).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.8321 times -16687\nAnswer: 30572.2527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrmzc. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2972*g**3 - 1804*g**2 - 1804*g**2 + 3608*g**2.\nAnswer: 2972*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103232011 - -301?\nAnswer: 103232312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 27 = 4*b, -2*b + 10 = 5*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 7280*c\/3 - 19392.\nAnswer: -(c - 7272)*(c - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 369 and -3.26984?\nAnswer: 372.26984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - 57 + 56 + 8*d.\nAnswer: 32*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - (sqrt(136) - (-1*sqrt(136) + sqrt(136)))))*-2 - sqrt(136) - sqrt(136)*-1*-1)\/(-2*(sqrt(40)\/(2*sqrt(5)) + sqrt(8)))*4.\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112581 is divided by 138.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 258 = -153. Sort -1, 4, 1, h.\nAnswer: -1, 1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100010100101110111 (base 2) to base 12\nAnswer: 389133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -9. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k = 4*n + 88, 77*k = -n + 76*k + 12 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 36. Let l be (3 + a\/5)\/((-2)\/(-5)). Let u(h) = -29*h - 1. What is the remainder when u(l) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 33*j - 824. Let c be h(25). Put 2, 12, c in descending order.\nAnswer: 12, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*b + 2, 3*b - 105 = p - 114 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6*b + 3*b = -3, -8 = 2*b. Let l(p) = 7*p**2 - p - 1. Let i = -1 + 0. Let u be l(i). Solve -2*t + 16 = -5*j + 6, -f*t = -2*j + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2691 * 2158\nAnswer: -5807178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10)\/((-12)\/(-8)). Let i = 0.37317 - 0.47317. Which is the fourth biggest value? (a) 3\/2 (b) 0 (c) q (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 185443157894783.\nAnswer: 185443157894786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125 = -2644*k + 2569*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*o**4*q + 6*b*o**3*q + 2*b*o**2 + 58*o**4 - 27*o**2 - 2*q wrt o?\nAnswer: 24*b*o*q + 36*b*q + 1392*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*x + 92, -15 - 11 = 2*q - 4*x. Suppose g - 2*r = r - 26, 0 = g - 4*r + 24. Let t = q - g. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oofu when four letters picked without replacement from {o: 3, r: 5, q: 5, u: 5, f: 1}.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 4:58 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 6*p + 21. What is j(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020233211 (base 4) to base 12.\nAnswer: -124519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*j + 34 = 2*m, 5*m = -3*j + 42. Let p(n) = 3*n - 8. Calculate the smallest common multiple of p(m) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110100100111110?\nAnswer: -110100100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 + 3*k + 7. Suppose -2*y = 2*y - 36. What is the least common multiple of 16 and x(y)?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let l be c(4). Solve y + z - 1 = -z, 3*z = l*y + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g + 14*g - 25*g = -418 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 140. Let c(y) be the second derivative of -y**3\/2 - 21*y**2\/2 + 36*y. What is the remainder when j is divided by c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 151, 1509, 5203, 12403, 24279?\n\"Answer: 195*z**3 - 2*z**2 - z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o - 5. Is 3\/11 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/7 - 514*c**3\/21 - 129*c**2\/7 + 3570. Solve q(h) = 0 for h.\nAnswer: -1\/2, 0, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5 + 443 = 0. Calculate the least common multiple of 40 and m.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (-3 + sqrt(7))*1 - (3 + sqrt(112)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*q - 5*i, -2*q - 2*i + 11 = q. Let u be -3 + 0 + (-52)\/(-20). Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 37. Let f be s(11). Calculate the greatest common factor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5840017 - (6 + -18)) + 5. Round k to the nearest one hundred thousand.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94149918790 + 94149903804.20283867. Let c = -15119.797162 - n. Let z = 134 + c. Round z to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 6*r**2 - 5*r + 2. Let x be y(-5). Let w(n) = n**3 - 7*n**2 - 6*n - 11. Let o be w(8). Let v be o - -2 - (x - 0). Solve -z = -v*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 103*d - 5. Let n be q(11). Let r be 3\/(-4) + n\/(-32). Let x = r + 36. Solve 2*m + 3*m = -5*y, x = m - 3*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -538 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 6*s + 2*s**3 + 3*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(2775\/425)*11\/(11\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (1 - 1 - (8 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 4 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -4400224.\nAnswer: -4400224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + 15*z**3 + z**3 + 32*z**3.\nAnswer: 43*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184594.614 - -184601.11399768. Let t = -6.5 + o. What is t rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6489 and -139\/3541140.\nAnswer: 24787980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -14. Let x(n) = 20*n + 9. Let s(k) = -7*k - 3. Let p(a) = -17*s(a) - 6*x(a). What is the lowest common multiple of z and p(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/5, -29.7, -4, 1\/24, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/10*0*(-1)\/(-2). Let n(t) be the third derivative of 0*t - 7\/60*t**5 - t**2 - 1\/3*t**3 + f + 0*t**4. Differentiate n(j) wrt j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12080571*g - 176 = 12080573*g, g = 2*d - 88 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 + 8*j - 5. Let n(u) = u**2 - u + 1. Let w be n(-2). Let q be s(w). Is 7 - (q + -1)\/1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 n when four letters picked without replacement from {g: 2, k: 1, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -31826675\nAnswer: 31826675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p - 1. Is (-96)\/(-18) + p\/3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*n**2 - 266*n + 16813 wrt n?\nAnswer: -76*n - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 3 - 271*l + 0.\nAnswer: -271*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.58 + 31. Let f = d - -0.5800115. What is f rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 62*x**2 + 30*x**2 + 35*x**2 + (1 + 3 - 3)*(-6*x + 21 - 21)*(-3 + 3 + 2*x).\nAnswer: -9*x**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 796421 and 45632.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314825143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1224 - 355. Suppose 3*f = 1285 + p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)**(-1\/42)\/(k*(k\/((k\/k**(-1\/13))\/k))\/k*k*k*k*(((k*k**(1\/3))\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(-902\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:59 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.642 * -2.3\nAnswer: -26.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y**2. Let p(x) be the first derivative of x**6\/360 + 2*x**3\/3 + 13. Let l(t) be the third derivative of p(t). Determine l(d(k)).\nAnswer: 289*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let z(m) = 5*m - 9. Let n(u) = -u**3 + 5*u**2 + 7*u - 5. Let j be n(6). Let s(b) = j*z(b) + 3*d(b). Does 6 divide s(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Suppose 30 - 2 = -7*k. Let c(o) = o. Let h(r) = -3*r. Let g(b) = k*h(b) - 14*c(b). Calculate f(g(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*2\/(-8))\/((-30)\/(-45)). Let l be 1*-1 + (-4)\/(-7). Which is the nearest to 0? (a) l (b) -1\/8 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 884*h**2*r**3*u - 9*h**2*r**3 + 2*h*r*u - 3*h*u - 2*h + 33*r**3 - 1 wrt h?\nAnswer: 1768*r**3*u - 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39013*d - 36661 with respect to d.\nAnswer: 39013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 20 = 17*t - 2*y, 4 = -2*t - 3*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1000, 963, 850, 619, 228, -365, -1202?\nAnswer: -2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85401 + 198761747.4.\nAnswer: 198676346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/7)\/(3656\/(-280) - -13). Suppose -4*x + 5 = -3*b, -3*x - 2*x = -v. Solve 3*m = 4*m - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/21 and 65\/3453?\nAnswer: 24171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*l + 954 - 798 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -0.1. Sort d, 5, 1\/3.\nAnswer: d, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14358)\/8 - (-1)\/(-4). Let a = 503 + c. Let i = a + 1927. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a21 (base 11) to base 13\nAnswer: 73b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 34 + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {z: 3, u: 4, k: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftdfbfb. Give prob of picking 1 f, 1 t, and 2 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/5 - (-66)\/110. Let c be (-1 + (-3)\/(-6))*-10. Suppose b*a = -2*d - 65, -c*a - 3*d = d + 75. Is -9 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27973763 or 0.2?\nAnswer: -27973763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)\/(f*f\/f**(2\/25))*(f\/((f*f**44*f)\/f)*f)**8 assuming f is positive.\nAnswer: f**(-25969\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -5 + 17 - (-4 - -17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxbgbkbwbgbxjjjjjjb. Give prob of picking 1 g, 1 k, 1 j, and 1 b.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1880480*i**3*w**2 + 14*i**2*w**2 - 2*i**2*w + 8360*i*w**2 + 2*w**2 + 2*w wrt i.\nAnswer: -11282880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = 37. Suppose -130 - b = -2*h. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(55\/(-20)*(-308)\/(-231))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/356 and -107\/1958?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752.0821ng to milligrams.\nAnswer: 0.0007520821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41.14283250818 and 5.\nAnswer: -36.14283250818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/12 + a**4\/6 + 41*a**2. Let f(l) = -5*l**2 + 5*l. Give 6*f(d) - 7*v(d).\nAnswer: 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -10. Let w = 5 - -22. Let s be (-45)\/108 + 14\/56. What is the second smallest value in w, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 44*u + 21*u = -n - 11, -6*u + 4*n - 26 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22323322 (base 4) to base 6\nAnswer: -543214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39654 (base 14) in base 16?\nAnswer: -2278a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/6 + 5*a**2\/2 + 3*a. What is the least common multiple of 10 and y(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28896 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, s: 5}. Give prob of sequence sssq.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - m - 6 + 1, -4*v + 5*m = 32. Let u(r) = r**3 - 5*r**2 + 5*r + 1. Let p be u(4). Let a = p - 3. Sort 3, a, v.\nAnswer: v, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwnowppwn. What is prob of sequence won?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -157, -111, -69, -31, 3, 33?\n\"Answer: -2*x**2 + 52*x - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)*s)**(-45) assuming s is positive.\nAnswer: s**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -200, -347, -524, -725, -944?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51286 - 29159. What are the prime factors of a?\nAnswer: 7, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 * 0.4\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952 and 722833608.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39214, -39226, -39228, -39214, -39178, -39114, -39016?\n\"Answer: l**3 - l**2 - 16*l - 39198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-25) - (-1)\/5. Suppose q*v = -3*t + 1, -5*t - 5 = 9*v - 4*v. Find the common denominator of (-13)\/10*t\/(-1) and -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 707, 2840, 6345, 11216, 17447, 25032, 33965, 44240?\n\"Answer: -k**3 + 692*k**2 + 64*k - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -3 (c) -1\/117 (d) 20.1 (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3801*q + 250686. What is y(-66)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*1 + (-18)\/(96\/16). Solve -3*x + u*s = -2*x + 11, x = 5*s - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 0*y**2 + y**2 + (0 + 0 + y)*(-2*y - y + y) + (2*y - 5*y + 2*y)*(-4*y + 3*y - y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - 6.88. Let d = 8 + f. Which is the smallest value? (a) d (b) 1\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or 114?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t*t*t\/(t\/(t*t**2))*t)\/t)\/t*t))\/t*t**3\/t)**5*(t**5*(t\/t**(-4))\/t)**(-50) assuming t is positive.\nAnswer: t**(-465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2280*c - 376*c + 2638*c.\nAnswer: 4542*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34009 or 33960?\nAnswer: 33960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1262, 2975, 5828, 9821, 14954?\nAnswer: 21227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5616 and -95\/832.\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211100561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 116. Suppose 0 = -f*u + 5*u + 496. Suppose 6*n + u = 188. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 14) in base 7?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 15. What is the smallest common multiple of j and 77?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14545 (base 9) to base 8.\nAnswer: 23303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 892, 1817, 2812, 3913, 5156?\n\"Answer: 6*g**3 - g**2 + 886*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6562097?\nAnswer: 6562097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46825067, 93650131, 140475197, 187300265?\n\"Answer: u**2 + 46825061*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 90*n - 486. What is the least common multiple of j(6) and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + f**2 - f. Let u be v(1). Suppose 0*g + 238 = u*p - 5*g, -4*g + 247 = 3*p. Calculate the remainder when p is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 17*v - 3*v - 8*v - 5*v**3 - 3*v**2 + 3*v**2 + (v - 2 + 2)*(-3 + 3 + v**2) in the form y*v**2 + s*v**3 + k*v + l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/3)\/((-119)\/(-105) - 1). Let p(q) = -5 + r*q**2 + 5 - 11*q**2. Let j(x) be the third derivative of -31*x**4\/24 - x**2. Give j(p(w)).\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 143, -3\/2, 1, 4, 29?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j + 27. Let m(q) = -6*q - 23. Let n(z) = 5*d(z) + 6*m(z). Suppose 2*b - 2 + 6 = 0. Determine n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 2*y, -16 = -5*q - 1. Let d be (-48)\/36 + (-312)\/36. Let i = y + d. Is -9 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 v when three letters picked without replacement from tvvtvvttvtvtvttt.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 9*p - 11. Let l(u) = 8*u**2 - 19*u + 21. Let z(k) = 3*l(k) + 5*q(k). Factor z(w).\nAnswer: 4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-16553251)\/(-77). Let o = x + 309877. What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 21*v - 950. Suppose v = -3*c + 2. Let d = 31 + c. Solve u + 3 = -2*a + 11, 4*a - 8 = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-102))\/((-1)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1514400 divided by 25\nAnswer: -60576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*o + 612, 0 = 2*n + 5*o - 51 - 243. What is the highest common factor of 342 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 13. Let t be w(5). Solve -2*s - x = 3*x, -t*s = -2*x - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34189, 34538, 34887, 35236, 35585, 35934?\nAnswer: 36283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1052*b**2*z**3 + 3*b**2 + 2722*b*z + 30562*z**3 - 2*z**2 + 58 wrt b?\nAnswer: -2104*b*z**3 + 6*b + 2722*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3*t**2\/2 + 5. Give d(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/8)*p*(p**(-1\/14)\/p)\/p assuming p is positive.\nAnswer: p**(3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((9\/(-3))\/(-219)). Suppose 0 = -g - 3*i + 2, 0*g + i + z = 4*g. Calculate the greatest common factor of 34 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Suppose 11*s - u*s = 0. Solve 0 = -y, s = 2*x - y - 2*y + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 401087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -f - 14664 - 12801, p - 5507 = 3*f. What are the prime factors of 4\/22 + 3 + p\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-25)\/1125)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 3399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - 27?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*(-306)\/(-48) + 5)*10. Is u < -5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2. Let f(j) = 238*j**2 - 3*j. Let t(s) = -238*s**2 + 4*s. Let b(l) = 4*f(l) + 3*t(l). Give c(b(p)).\nAnswer: -56644*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12564 by 4.\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z + 307. Calculate f(30).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 32801*p\/4 + 213291\/2.\nAnswer: -(p - 32814)*(p + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27 and 19\/510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93915620.\nAnswer: 2, 5, 37, 126913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -591 - -549. Let z be 30\/9*p\/(-28). Which is the smallest value? (a) z (b) -2.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6 = -2*q. Sort -7, q, 4, -4.\nAnswer: -7, -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpetttpephstpphett. What is prob of sequence she?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-2\/31)*z**(-2)*z*z**(1\/3) assuming z is positive.\nAnswer: z**(-58\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 103. Suppose k = 35*t - 32*t. Suppose 0 = 3*w + t*x - 227, w - x = 2*x + 67. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2 + 8*p + 18*p**2 + 3*p + p wrt p.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10)*1)\/((-5)\/(-50))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -23*l - 12. Calculate the remainder when f(-3) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 8400*u + 3528000.\nAnswer: 5*(u - 840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4263 divided by 49.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242400 rounded to the nearest 10000?\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 41 = -4*b - 53, -3*u + 16 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -9, -31, -65, -111, -169?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 6*l. Let j be m(6). Let u be (1 + j + -2)*0. Solve -3*s + u*s = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/9, 1\/3, -4, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -17.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-5)*(-15)\/6. Suppose -33 = -5*x + g. Calculate the remainder when (-273)\/(-9) - (-2)\/3 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(34)*-1 - (sqrt(2754) + sqrt(2754)*2))\/((2*sqrt(160))\/sqrt(5)).\nAnswer: -13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/15 + 3*p**4\/4 - 16*p**2. Find the second derivative of n(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*c = 750, -5*c + 13 = q - 115. Suppose 0 = 2*t + 2, -5*k = -0*k - 2*t - 87. Calculate the highest common divisor of k and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207986*f**3*g**3 + 10*f*g**3 + 80*f*g**2 + 29*g**3 wrt f?\nAnswer: 1247916*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-897)\/156)\/(1\/(-4)). Let k = 166 - 74. Calculate the greatest common factor of c and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*g - 22 + 17, 5*v = -3*g - 12. Which is the second biggest value? (a) -31 (b) g (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/30 + 97*x**3\/15 + 98*x**2\/5 - 1467*x. Factor u(v).\nAnswer: -2*(v - 98)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 41*i. Let p be x(-1). Let k = -22 - p. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and 1.8784?\nAnswer: 86.4064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240*t**2 - 2*t**3 - 772 + 123*t**2 - 20 + 618*t + 5*t**3.\nAnswer: 3*(t - 33)*(t - 4)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 614 - 2306?\nAnswer: -17a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 2. Let r be p(2). Let u = r + 5. What are the prime factors of 4\/u*(14 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 7, -2 in increasing order.\nAnswer: -8, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q + 6. Suppose 10 - 6 = -2*i, -z = 3*i + 32. Let f be 1\/((z\/24)\/(-13)). Suppose -5*t = -3*s - f - 3, -s - 5 = 0. What is a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -22, -34?\n\"Answer: -12*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxfx when four letters picked without replacement from {x: 3, f: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:24 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = c - 134*r + 132*r, 3*c + 6*r - 21 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2251 and 10240758.\nAnswer: 10238507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b389a34 + 5?\nAnswer: b389a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 3, -3, -1456, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 8:39 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61938)\/(-22940))\/((-2)\/20)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4031540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22*((-54)\/(-28) - 2). Let f = i - -131\/70. Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:47 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/3 (c) -434 (d) -2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -200243413 (base 5) to base 16\nAnswer: -c0fd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -8365\/117?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 plus -0.04?\nAnswer: 1321.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276471 divided by -663.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -157789112402.77\nAnswer: -157789112398.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53886.14 rounded to the nearest 10?\nAnswer: 53890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/10 - 5)\/(2\/(-90)). Suppose p - 8 = -3*p. Calculate the common denominator of -9 and 422\/40 + l\/(-4) + p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 6:21 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 12*z**2 - 4*z + 11. Let p be h(13). Sort 5, p, -2.\nAnswer: -2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -15*i + 8*i. Solve i = 3*c - 5*b, -5*c + b = -17 - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -5 (c) 1 (d) 231 (e) 12 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -2?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*z + 2*s + 20, -5*z + s + 25 = 0. Let c be 0 + -5 + 2 + z. Solve -1 = -c*q + q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 11*u + 6*u - 40 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/11, 73.\nAnswer: 2\/11, 0.5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((3\/(-13))\/((1280\/208)\/(-20)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/209680 and 139\/125808.\nAnswer: 629040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 108 = 2*m. Suppose 580 = 5*u + 15*u. Let a be 0\/(2 - -1 - 2). Solve -4*v + 4*q = m, a*q + u = -v + 5*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9981661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -66*l**3 - 3*l**2 - 3*l + 1. Is k(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 8*r**2 + 11*r - 17. Let p be g(9). Is 2 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037828 rounded to 6 decimal places?\nAnswer: 0.000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**5\/30 + 43*v**2 - 42. Let p(t) be the second derivative of r(t). Let n(i) = -39*i. Give n(p(k)).\nAnswer: -78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -43*w**2 + 25. Let p = -8 - -2. Let g(r) = 164*r - 129*r**2 - 41*r - 123*r + 74. Let q(j) = p*g(j) + 17*a(j). Differentiate q(k) wrt k.\nAnswer: 86*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 41*m**2 - 113*m - 34. Let j = 579 + -541. Let l be y(j). Sort 207, l, 3.\nAnswer: 3, l, 207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 5*m**2 - 2*m + 10. Let y be v(-5). Let h = y - 256. Suppose 4*l - 705 = h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 5:10 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 19*f**2 - 19*f - 3. Let p be k(-18). Find the second derivative of -22*d + p*d**5 + 3*d + 16*d**5 - 9*d wrt d.\nAnswer: 620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from echce. What is prob of picking 1 e and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*m + 12 = 0, 0 = 4*m - 2 + 18. Suppose f = -10*k + 5*k + 345. Is k a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*y - 0*t - 35, 5*t = -y + 15. Suppose 4*x - 9*z + 4*z - 138 = 0, -187 = -y*x - z. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 5*c + 3*c)*(2*c - 3*c + 3*c) + 105*c**2 - 101*c**2 - 8*c + 227*c**2 to q*c + n + b*c**2 and give b.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:24 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 + 262 = -5*u. Put -30, u, -4 in descending order.\nAnswer: u, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/29, 8\/169, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296029, -594330, -892631?\nAnswer: -1190932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, w: 2, j: 1, c: 3, l: 2, f: 6}. What is prob of sequence fw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 24.3, -3\/25.\nAnswer: -5, -3\/25, 5, 24.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 + 4989*o**3 - 63977*o + 1 wrt o.\nAnswer: 12*o**2 + 29934*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -2*r + 1\/30*r**4 - 1\/15*r**3 + 9 + 0*r**2. Factor i(f).\nAnswer: 2*f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-36)*c**(2\/89) assuming c is positive.\nAnswer: c**(-3113\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n - 32*n + 25*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Solve n*x**4 - 5*x**3 + 3*x**3 + 10*x**2 - x**5 - 5*x - 9*x**3 + 1 + x**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooeeookf.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/k)\/k**(-4\/3))\/(k\/(k*k*k\/k**(-1\/3)*k*k*k))**(32\/3) assuming k is positive.\nAnswer: k**(461\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12585 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 21. Let o = -10 - s. Let v = 1.87 + 0.13. What is the smallest value in o, v, 0.16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d, 4*i + 2*d + 199 = 183. Let p be (-2 - (1 + 1))\/(-2). Let f be (-2 + 6)*p\/4. Put f, i, 5 in increasing order.\nAnswer: i, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(1196\/3). Let r be (-12)\/(-14) + 1*(-116533)\/92092. Let d = y + r. Find the common denominator of d and -55\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2331507 and 0.2.\nAnswer: -0.04663014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1004.389 kilometers?\nAnswer: 1004389000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2997144 divided by 8.\nAnswer: -374643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51531 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*j - 13, -j - 50 + 25 = -4*p. Let a = 9 + -5. What is the least common multiple of a and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2625 - 1251 = -3*z. Let k = -729 + z. What are the prime factors of k?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 4. Let c be z(-6). Suppose 3*t - 51 = -3*a, 2*a + c*t - 33 = t. Suppose 0 = 4*f - 29 - 19. Calculate the lowest common multiple of a and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 33. Let p be d(7). Let r be (-6)\/16 - ((-966)\/p - -2). Suppose -z + 21 + r = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040*t - 2155*t - 44600 = 0 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 193.7 and 101219.\nAnswer: 101412.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 - 99\/(-4). Suppose 0 = -4*c + 8, -r = 4*g + 4*c. Let a = 13 + g. Solve a*v + 4 = 3*h - 2, 3*v = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 2*w + 21, 14*h - 9*h - 18 = -w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvgvtvtvvtgv. Give prob of picking 2 g and 1 t.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 648111253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m - 12083496 - 21*m + 12083496.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 17*s**2 + 21)*(78 - 16 + 8 + 77) in the form c + k*s**2 + w*s and give k.\nAnswer: -2499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)\/(2\/4). Suppose 8 = f*n - 24. What is the remainder when (-172)\/n*-1*4 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 619683 by -3.\nAnswer: -206561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8268069km to nanometers.\nAnswer: 826806900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 13*b**2 + 15*b - 26. Let z be j(12). Suppose 3*c - z = -1. Let h(o) = o - o**c + 10 + 0*o**2 - o**2 - 8 + 0*o. Calculate h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88.1 + -88.8. Let m = a + 0.8. What is the closest to -0.01 in -6, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*m + 359*m + 352*m - 118*m**3.\nAnswer: -118*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1102*((-4)\/(-24))\/(2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12 - -136*(-544)\/(-3072)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 4*q - 2*h, 1099*q = 1097*q - 4*h + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n + 9. Let p(g) = 9*g - 2. Let r be (14\/4)\/((-5)\/(-10)). Let a(m) = -10*m + 2. Let w(v) = r*p(v) + 6*a(v). Determine -2*c(l) - 9*w(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zixixgdxzgidvzzd. Give prob of picking 1 d, 1 v, and 2 i.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 107580 and 24.2669692?\nAnswer: 107555.7330308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110 - 106)\/(88\/(-726))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) - (-21)\/(-6). Let g = -38\/5 - -223\/30. What is the third biggest value in -0.3, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 367 - 127. Calculate the remainder when t is divided by (-2*3)\/(2\/(-7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/7, 0.3, 5, -0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -425183\/28 - -15182. Find the common denominator of 71\/16 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/4 - 4092*r. Let h(v) = -1949*v. Determine k(h(q)).\nAnswer: 11395803*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 955751.5 + -28.\nAnswer: 955723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 11*a + 17*a - 5 - a**2 - a**2. Let r be i(1). Suppose r = -6*s - 7*s. Put -2, s, -1 in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Let r = h + 4. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61736*w = -2*z - 61734*w + 60, 0 = -4*z + 7*w + 120 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-10))\/((-6)\/105). Suppose 3*h + h = -l. Let w = h - -12. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -120039, 1 in ascending order.\nAnswer: -120039, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/264 and -76\/27?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 256*i + 24. Let d be c(-32). Solve -10 = d*b - 26*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59388 + 83147. List the prime factors of p.\nAnswer: 23, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -52*j**4 + 5*j**3 + j**2 - 5*j + 10. Let a(x) = 51*x**4 - 6*x**3 + 6*x - 11. Let c(q) = 5*a(q) + 6*b(q). Find the third derivative of c(s) wrt s.\nAnswer: -1368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 + 7*f - 3. Let d be o(6). Suppose 0 = d*m - m + 24. What are the prime factors of (m + -6)\/(3\/(-2))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6057881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 220*w**4 - 29465*w**3 - 31720*w**2 - 685*w + 1350 = 0. What is w?\nAnswer: -1, -1\/4, 2\/11, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y + 53. Let b be z(5). What is the highest common factor of 33 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.5, -1\/730 in decreasing order.\nAnswer: 0.5, 1\/6, -1\/730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i**2 + 6*i - 2. Let m(v) = -64*v**2 + 17*v - 6. Give -17*d(j) + 6*m(j).\nAnswer: -27*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -1215.\nAnswer: 16\/1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(0*c - 3*c + c) - 1 + 228*c + 2 + 424*c + 2*c - 6*c - c to w + h*c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((2 - -2) + 2 - 4). Let q(a) = -2*a**2. Let k be q(y). Let s(v) = -13*v + 10. What is the least common multiple of 14 and s(k)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -575, -1, -695 in descending order.\nAnswer: -1, -575, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (11 + 0) - (-49 - (31 - (16 - -31)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4 - 1 - 10, 9*j - 6*b = -25*j + 50 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 2*d + 1. Let a be k(1). Let v be a\/((-1 + 2)*2). Let p be (-6 - -8) + (-8)\/(-1). Solve -2*w + v*w = p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = 13. Suppose q + 2*q - 6 = 0. Let c(m) = -3*m**q - 2*m + 4 + 5*m + m - 2*m**2. Let w(v) = -v**2 + v + 1. Determine b*w(s) + 2*c(s).\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-4)\/(-264))\/((-80)\/(-220))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122110021212 + -121?\nAnswer: -122110022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*w + 69602*w**2 + 14 - 69602*w**2 + 2496*w**3 wrt w.\nAnswer: 14976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 1408?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 301220002 (base 4) to base 10\nAnswer: 203266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61\/42 - -25\/14. Is -1\/7 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28*((-3)\/4 + 1). Let r be 1*(-12)\/(t + -3). Does 3 divide r\/21 + 192\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31414, 125840, 283228, 503590, 786938, 1133284, 1542640, 2015018?\nAnswer: 2550430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/(-2) - 2\/4. Suppose 4*j - 2*i = 3*i + q, 12 = 3*j + 5*i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bol when three letters picked without replacement from lbyljrlllorlbbj?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000428 to 6 decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 8:49 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 6. Let t(x) be the first derivative of -11*x - x**3 - 4 + 6 + c*x**3. Differentiate t(u) with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1776 + 1831. Let d(w) = w**3 - 6*w**2 - w + 4. Let b be d(6). Let o be -4*b*11\/8. What is the highest common factor of l and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4338 (c) 0 (d) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.122466487 to 3 dps.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 0*b**2 - 2*b**2)*(-6 + 6 + 4)*(1 + 1 - 5).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -300\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12795 - 5768 = -19*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 0*q - 345*q**3 + 1921*q**3.\nAnswer: 1576*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 2 - 6*i**2 + 0*i**2 + 1. Let h be v(1). Which is smaller: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -123.37, 390?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 60.8. Let b = v + 21. Let n = -0.7 - b. Are n and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00214149893 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 3*d**8\/56 - d**4\/3 + d. What is the third derivative of z(s) wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202571 - -26?\nAnswer: 202607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*(j*j\/(j*j\/(j*j**(-3\/5)*j))*j*j)\/j*(j**(2\/7))**(-6))**(-1) assuming j is positive.\nAnswer: j**(221\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -635*x**4\/12 + 384*x + 9. Let u(i) = -13*i. Give s(u(f)).\nAnswer: -107315*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1987*w + 1987*w + 64*w**5 + (6*w**2 - 2*w**2 - 3*w**2)*(-5*w**3 + 3*w**3 + 4*w**3) + 0*w**5 + 0*w**5 - 2*w + w**5 + 2*w**5 + 3 - 3.\nAnswer: 69*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:14 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.63 - 1.7. What is the biggest value in -0.2, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1320 and 47\/42240.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 8)*(-2 + 0 + 0)*(12*t + 3 - 3).\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9.39641, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-17 + 13 + 8)*((-2*m**3 + 7*m**3 - 3*m**3)*(3 - 1 + 0) + (m + 2 - 2)*(1 + 2*m**2 - 1) + 2 - 2 + m**3).\nAnswer: -84*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -1 + -5 - (4 + sqrt(700) + -1))**2 - (0 + 0 + ((sqrt(7) + sqrt(63))*-4)**2))*-4.\nAnswer: 6844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/29 (b) -1 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -5, -4, -57602, 2 in increasing order.\nAnswer: -57602, -42, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-21)\/(-49)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -331.1 - -331. Is 666 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.14, 0.2, 3295 in decreasing order.\nAnswer: 3295, 0.2, -0.14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34992 = 5*i - 10583. Let n = -5148 + i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/168)\/((-6)\/63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.78 - -21.78. Let t = 2 - 3. Suppose -1 = -5*k - 6. What is the nearest to t in -0.5, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 158.\nAnswer: 63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 10*w**4\/3 - 97*w**3\/6 + 135*w**2. What is the first derivative of u(f) wrt f?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 329, 613, 897, 1181?\n\"Answer: 284*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 17. Determine i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1910, -3795, -5680, -7565, -9450?\n\"Answer: -1885*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84319 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1294*(-10)\/(-8))\/4. Let f = 404 + z. Which is the third biggest value? (a) 5 (b) f (c) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12785710.\nAnswer: 2, 5, 7, 182653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7987)\/326 + 25 + ((-122)\/80 - -1)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27433\/884 - -48\/221. Let m = -31 + v. Let c = -0.04 + 0.34. Sort 0, m, c in ascending order.\nAnswer: 0, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 146*w + 1022. Solve -2*k + 15 = -3*s, -20 = -4*k - 3*s + w*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 16*s - 40 = 0. Suppose 5*d = -17 - s. Put -1, d, 3, -3 in decreasing order.\nAnswer: 3, -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 105470*c + 316428. What is r(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*y = 11, -4*r + 2*y + 3*y = -23. Suppose 3*w + 6 = p - 37, -2*w - 34 = r*p. Let b = -3 - w. What is the highest common factor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44233\/4 or 11059?\nAnswer: 11059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, g: 1, l: 1, q: 1}. Give prob of picking 1 l and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 + 2)\/4)\/((-5)\/(-150)). What is the greatest common divisor of d and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*n - 19, -2*q - 2*n + 54 = -6*n. What is the first derivative of -8*f - 16*f + 2 - q - 10 wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*c - 4292, 12*s - 14*s = -5*c - 4301. List the prime factors of s.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 168 = 0. Suppose -6*m + 2*m - z = -4*j, -4 = 2*m. Calculate the greatest common factor of 171 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 5. Let d(a) = 13 + 4*a - 16 - 3*a. Calculate -5*d(y) - 3*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/793 + 31706\/5551. Let l be -1 - ((-400)\/(-418) - 2). Let w = l - 9850\/627. What is the common denominator of k and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4317736 to 3 decimal places.\nAnswer: 4.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.3 + -10. Let z = a - -0.9. Let f be (-1)\/((-4)\/(-6) - 1). What is the nearest to z in 1, -2, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1792*k**4 - 14096*k?\nAnswer: 21504*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -429443, -429439, -429435, -429431?\n\"Answer: 4*v - 429447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328) - -2*sqrt(3328))\/(sqrt(16)\/sqrt(4)*-1) + (sqrt(117) + (sqrt(117) - -5*(sqrt(117) + sqrt(117)*2)))**2*-3.\nAnswer: -101439 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - 3*p**2)*(-p + 5*p - 2*p)*(38*p**2 - 12 + 0 - 36*p**2).\nAnswer: -12*p**5 + 72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57582 + 2?\nAnswer: 57584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -6251.\nAnswer: 368809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**8\/5880 - d**7\/420 - d**6\/126 - 39*d**3\/2 - 115*d**2. Let m(l) be the first derivative of i(l). Factor m(x).\nAnswer: -2*x**2*(x + 2)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(27)) + 5 - (sqrt(3) + sqrt(432))**2 - 5*(3*sqrt(48)*2)**2.\nAnswer: -9142 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9851332 to the power of 1\/2, to the nearest integer?\nAnswer: 3139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 + s**2. Let g(t) = t**2 - 6*t + 8 + 0*t**2 + 1. Let u be g(6). Let i(p) = 8*p**2 + 0*p**2 + 17*p**3 - 4*p**2. Give u*a(v) - 2*i(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 5*o**2 - 5*o - 4. Let r be l(-3). Let d = r + -2. Suppose -t - 3*v - d = -2*t, 13 = t + 2*v. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013373849 to 6 dps.\nAnswer: -0.001337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(51)*-5 - (sqrt(357) + sqrt(357)*2)\/sqrt(7))\/(((sqrt(270) + sqrt(30))*-2)\/sqrt(10)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74870 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201022202 + -10?\nAnswer: -201022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**8\/20160 - h**6\/540 + 17*h**4\/12 - 9*h. Let r(f) be the third derivative of g(f). What is o in r(o) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680 take away -92297?\nAnswer: 90617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3230.8 + 338.8. Let j = k - -2892.0002353. What is j rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) 1\/17 (d) 0.02 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -133*l**2 - 20866*l*q**2 + 79*q**2 - 8*q + 1141 wrt l.\nAnswer: -266*l - 20866*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 153053 (base 6) to base 2\nAnswer: 11101001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16120 and 3038.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/8*(-10)\/(-3). Suppose -5*d + 5*q = -5330, c*q - 1268 = 2*d - 3415. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 28. Let k(u) = 388133*u. Give k(g(q)).\nAnswer: 388133*q - 10867724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2 + 195068*k**3 - 429*k**4 - 2828*k - 195068*k**3 wrt k.\nAnswer: -5148*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-372)\/(-992))\/((-46)\/48 + 1). Solve 20 = -m*r + 29 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -334 + 336. Solve r = -3*z - 14, 0 = c*z + z - 2*r + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**7\/70 + o**3\/3 + 10*o**2. What is the derivative of p(w) wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (840\/29400)\/(13\/(-1820))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:08 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -27*j**5\/10 + 19*j**4\/12 + 4*j**3\/3 - 13*j**2\/2 - 20*j. Let z be c(11). Round z to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37*(6798\/99)\/((-2)\/(-3)). Let x = -1328 + j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + m = x + 33, -4*x + 94 = -14*m + 17*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 87 = -5*r, 6*b = -r + 101 + 72. What is the remainder when 121 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 5*c + 23*c**2 + 1 - 14*c**2.\nAnswer: 9*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 55. Suppose 5*v - 38 + 143 = 0. Let d = n - v. Solve -i - d = -4*z + 10, i = 3*z - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23556?\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let i be (-126)\/(-15) - 8\/20. Let m = i - 9. Which is the closest to -0.1? (a) 0 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*i - 2*i - 136, -3*i = -4*u - 112. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -1606 (c) -4 (d) -3 (e) 5 (f) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**5)**(-3\/40)*(u**(-1\/4)\/u*u)**(-4\/19)\/(u**1)**(19\/3) assuming u is positive.\nAnswer: u**(-11627\/1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(1 - (-338)\/(-10)). Does 26 divide (-1)\/(-3)*(-8 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10103143 bigger than 10103198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 118. Let k(q) = 9*q. Let f be k(2). Suppose -3*z + 0*z = u - s, -z = 2*u - f. Calculate the highest common factor of u and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -4446\/11, 1\/30?\nAnswer: -4446\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:15 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 - 143*j**2 + 49*j + 59. What is the remainder when l(36) is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 315 = 8*n. Let o = 116 - n. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 + 7*i + 2. Suppose 0 = 22*g - 17*g + 35. Let a be d(g). Suppose 7*u = a*u + 960. Calculate the greatest common divisor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9763*g*t - 6212*t - 2 wrt g.\nAnswer: 9763*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-2 + -5 - -1). Suppose 0 = -3*x - x + l. Let c = x + -4. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(11) + (sqrt(11) - sqrt(275)))**2 + -4.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 16 = 17. Put 2, o, 6 in increasing order.\nAnswer: o, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 4*a**2 - 103.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -6cb5a1?\nAnswer: 6cb59d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -292. What is the remainder when ((-132)\/88)\/(y\/(-88)) is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (21 - (27 + -17 - 49)) + -19.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 10953715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -544080299 divided by -2933\nAnswer: 185503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813434 + -5?\nAnswer: 1813429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*t - 20 = 8*t, 3*t = o - 4. Solve 3*q = q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 39*g. Suppose -r + 5*p = 2*p, -2*p = -5*r - 13. Let n(q) = 21*q - 3. Let u(w) = 85*w - 12. Let m(l) = -12*n(l) + 3*u(l). Calculate r*x(i) + 36*m(i).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476802?\nAnswer: 2, 738401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20977 or -20971?\nAnswer: -20971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1909 + 5861\/3. Let l = i - 46. Which is the third biggest value? (a) 3 (b) l (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895.3245 litres to millilitres.\nAnswer: 895324.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -239579 in 0, -0.3, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 8.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let h(t) = 0*t**3 - t**3 - 3*t + 4*t**2 + 61 - 63. What is h(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-3 - (-32)\/12). Suppose t*h = -2*h - g - 13, 2*g = -5*h - 17. Sort h, 3, -2.\nAnswer: h, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Suppose 5*v + 8 + z = 5*k, 0 = v - 5. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1681 - 4.\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*u - 3*k, 5*k + 0*k + 10 = 0. Suppose -b = 5 - u. Let y = 20 - b. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16306 divided by 36.\nAnswer: 8153\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 2*d + 90. Let j be (7\/(-5) + 0)\/(d\/50). Solve -2*a - 25 = -j*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -498*y - 1617*y - 52691 + 4046 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 159.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 12 = 5*n + 2, -18 = -4*n - m. Suppose 0*g + 66 = n*i + 3*g, 0 = 2*i + 3*g - 36. Let c = 21 - i. Calculate the least common multiple of 11 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3046463 + 2.3?\nAnswer: -3.0046463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 181*w**2 + 95*w - 11. Let l be n(6). What is the greatest common factor of 50 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by -4558271.\nAnswer: -1\/64201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 600193.3um?\nAnswer: 0.0006001933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 19 = -49. What is the lowest common multiple of j and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -12\/5, -2\/267, 2.5?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*s + 21*s + 339895 - 4492945. What are the prime factors of s?\nAnswer: 3, 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 23*y**2 - 2*y - 25. List the prime factors of n(-14).\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 30*u. Calculate h(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*2*(-5)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 32 - 13. What is the derivative of 11 - 24 + b*d**2 - 15*d**2 - 14*d**2 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from fbfebbeffefbef.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*s - 10*g**4 - 19*g**3*s + 5*g**2*s + 1061*g*s + s wrt g?\nAnswer: -24*g*s - 240*g - 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 19. Let s = 18 - a. Let z = 341 + -349. What is the third smallest value in s, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.540165cm?\nAnswer: 15.40165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171257330 to the nearest integer?\nAnswer: 13087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 20, -630 - 1494 = -3*h + 3*d. Find the common denominator of (h\/(-148))\/((-14)\/8) and -67\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107\/165 + -1\/55. Is -2 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/702 - ((-568)\/26 + -1). Factor -4 - 29*k - 66*k**3 + 20*k + 21*k + x*k**2 + 35*k**4.\nAnswer: (k - 1)**2*(5*k + 2)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3 + 3*a**2 + 3*a - 9. Factor u(s).\nAnswer: 3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + -51 + -3 + (-15 - -16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-5 + (9 - (-5 + 2)))) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8\/7)\/j*j**13*j*j assuming j is positive.\nAnswer: j**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 2*w - 4*w)*(10 + 42 + 56).\nAnswer: -108*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 1, 3*l + 4*z - 40 - 54 = 0. Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 7) to base 3\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3692, -29547, -99720, -236369, -461652, -797727, -1266752, -1890885?\n\"Answer: -3693*k**3 - k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1716488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9863721 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 181 - 61. Suppose s*g = 5860 + 3120. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 - (-1 - ((-79)\/11 + (-8)\/(-44))). Solve -22 + 8 = k*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1169 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/12 + 29*n**4\/3 - 6883*n**3\/6 - 6593*n**2. Differentiate j(c) wrt c.\nAnswer: -30*c**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 280544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose 0*i + 11 = -2*j + r*i, -3*i = -3*j - 9. Let f = 15 - 14.5. Which is the nearest to j? (a) 5\/6 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.37 + 19.43. Which is greater: 1\/8 or y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 20 - 9)*(-4 + 53)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161280 = -8869*y - 1211*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2524, -2522, -2518, -2512, -2504, -2494, -2482?\n\"Answer: s**2 - s - 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 9*q - 5. Let i(x) = -x**3 + 5*x**2 - 7*x + 3. Let n be i(4). Determine k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176 + 177. Let k(r) = -1. Let u(n) = 3 + n - 3. What is b*u(s) + k(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 146226 (base 7) in base 11?\nAnswer: 1a529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-52) + 2*34\/(-104)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*a = 2*x - 40, -3*a - 241 = x - 238 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/2505 and -89\/135.\nAnswer: 22545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 2 (c) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*j + 16, -3*i = -6*i - j + 3. Let 7*n - 5*n - 2*n**i - 2*n = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107548201*s**4 + 559162*s - 69 wrt s?\nAnswer: 1290578412*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {b: 1, m: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 35. Let j(d) = -2*d**2 - d + 1. What is j(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(34 + -50)*5\/(-7).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1277206133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1113\/20 + -223\/4. Which is the closest to -0.06? (a) -1\/2 (b) j (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 9, 48, 103, 174?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-4))*k)\/(k*k**(-20)\/k) assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 9*y**3 - 21 + 11*y**3 + 17 + 69*y**2 + 5*y to d*y**2 + z*y + p + c*y**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1863*z + 1874*z - 3755*z = -216 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 23842 = -3*g + 5*k, g = -4*k + 7959. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 - 150 - 176 = -4*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:52 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 - 4. Let w be j(4). Calculate the remainder when 40 is divided by (-3)\/(w\/(112\/6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 470 + 211 - 2453*z**2 + 29 with respect to z.\nAnswer: -4906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*a + 484 - 256 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/735*49)\/(-7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfmm when four letters picked without replacement from ffmmfffmfffffff?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.95 - -0.05. Let n = 2.4 + 5.1. Let a = -7 + n. Sort d, 3\/2, a in increasing order.\nAnswer: a, 3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 330*y**2 + 482*y - 324 = 0. Calculate y.\nAnswer: -81, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -671, -1571, -2651, -3875, -5207, -6611, -8051?\n\"Answer: 6*v**3 - 126*v**2 - 564*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 3, 0.751, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = -5*r, -4*r = r - 4*o + 23. Let l be (-4 - r)\/(2\/4). Let k be (4\/(-6))\/(l\/9). Solve 12 = 4*d, k*f - 4*d + 16 + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7476?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6239946 and 6798.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*q + 3*h, -4*q - 5*h + 3*h + 44 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 3. Let t be q(-3). Suppose t*j - 46 = j. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3683*j. Let g(n) = -109*n**2 + 7. Calculate g(b(z)).\nAnswer: -1478529301*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/33 and 43\/4596?\nAnswer: 50556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6090 and 3980?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/6 + 4*b**3\/3 + 5*b**2\/6 - 19*b\/3 + 4 = 0.\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 - 24 + 76*a - 15 + 3 - 2*a - 4 + 3 + (13*a - 19*a + 13*a)*(-5 + 2 + 1).\nAnswer: 60*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37480 and 1203108?\nAnswer: 12031080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5, -107 - 198 = -4*r + d. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254484000 rounded to the nearest 1000000?\nAnswer: -254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693880 divided by -88.\nAnswer: 7885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -55. Does 35 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 5*p - 3*p)*(41061*p - 14879*p - 13841*p).\nAnswer: -37023*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -76. Suppose -3*l + 857 = -4*s, a*s + 574 + 861 = 5*l. Let m = 492 - l. List the prime factors of m.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2116738 and 7072?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10950000 to the nearest 100000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -213\/5 (c) -1\/5 (d) 5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from 20433.66142.\nAnswer: 20398.66142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + 3*s**2 - 3*s + 3. Let d(c) = 4*c**3 - 4*c**2 + 2*c - 2. Let g(i) = -3*d(i) - 2*q(i). Factor g(h).\nAnswer: -2*h**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1730?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - z + 6*z + z - 4*z + (1 - 1 - 1)*(z - 3*z + 0*z) - 3*z + 2*z - z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -5*d = -s*q - 50, 2*d + 1 - 2 = -3*q. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1835.9 - -1836. What is the third smallest value in -0.22, 8, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzzj. What is prob of sequence jzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c. Let h(y) = -15*y. Let b(p) = -50*p. Let l(u) = -4*b(u) + 14*h(u). Determine l(m(q)).\nAnswer: -120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 2*r**2 + 65*r**3 - 3*r**2 + 6*r**2.\nAnswer: 65*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 2*s)*(-5*s**2 + 0*s + 0*s) + 0*s**2 + 0*s**2 - 3*s**3 to o*s + n*s**3 + c + d*s**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1866.4 to the nearest ten.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (29 - 0 - (-36 + 52)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + s - 87, -36 = -4*m + 3*s - 121. Let f = -16 - m. What is the least common multiple of 14 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 + -469. Let o = -249 - g. Which is the second biggest value? (a) o (b) 2 (c) -1\/5 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5625.386612 + 5363.38661944. Let m = 262 + j. Round m to seven dps.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/1117 - 5534\/3351. Sort 4, q, -2\/101, 1\/5, 3 in ascending order.\nAnswer: q, -2\/101, 1\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k - 20. Let v(m) = -5*m + 13. Let j(f) = -5*n(f) - 8*v(f). What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*n**2 + 0*n + 14\/5*n**4 + 1\/5*n**5 + 0 - 31\/5*n**3.\nAnswer: n**2*(n - 1)**2*(n + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017 + 8*p + 203 - 142 - 76 + 636.\nAnswer: 8*p + 1638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z - 16. Let j be w(4). Let i(n) = -n**3 + 3*n**2 - 2*n + 3. Let u be i(2). Let s = j + u. Let q(p) = 3*p. Determine q(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*c = -3*c - 70, 3*c = 4*y - 126. Suppose -i + 20 = -4*z + z, y = -2*z + 4*i. List the prime factors of ((-4)\/z)\/(4\/800*2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.197*-0.5\nAnswer: -0.0985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17412102 - 7512127. Suppose -3*j + 4*j - 5*s - i = 0, 0 = -3*j + 3*s + 29699985. What is j rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -129960 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471d9 (base 15) to base 8.\nAnswer: -672372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0. Let n = 4.084 + -0.084. Is n at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245009, 490016, 735023?\nAnswer: 980030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.60056. Round f to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5327, -4929, -4285, -3395, -2259?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -16 + -8 - -5) + (3 - 54)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 - 3*t + 2. Let b = -1377 + 1372. Determine p(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99472, -99464, -99456, -99448, -99440?\n\"Answer: 8*j - 99480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 10. Solve -2*h + 7 = -x*h + s, -17 = h + 5*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7*x - 384 = 4*x, -3*l - 2*x = -384. Suppose 4*m = -0*m + l. What is the remainder when 94 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 1303717120?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -4 - -12*12\/(-63). What is the closest to 2\/7 in -3, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9557?\nAnswer: 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from vvwvvvywvyvqqvwv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 5901*r.\nAnswer: -r*(r + 5901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7673.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*a - 184 = 0, 0*a = -4*z + 3*a + 246. Calculate the least common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/3*(-6)\/2. Let y(c) = c**3 - 7*c**2 - 9*c + 8. Let p be y(j). Let q = 4 + p. Solve -q = 5*v - v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -3*w**5\/20 - 25*w**2\/2 + 14*w - 24. Let t(v) be the first derivative of k(v). Find the first derivative of t(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - ((-30915)\/108 + 1). Suppose -4*a - p - 274 = 315, -458 = 3*a + 4*p. Let x = a + q. What are the prime factors of x?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f + 6*f - 2*f)*(-4 + 3 + 2) + 2*f + 2 - 3*f - 3.\nAnswer: 11*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 r when four letters picked without replacement from rrrrrrrruururrrrrrur.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20124433 + -12043?\nAnswer: 20112340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 6 = 3*u. Let x(c) = -c**2 - 5*c - 2. Let d be x(u). Suppose -4*r = d*o - 44, 3*r + o = 6*o + 73. Calculate the remainder when 46 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*r = 28, -3*r - 12 + 1 = -4*z. Let o be 5\/228*19\/(-95). Is z less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136373662*j - 136373662*j - 7*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u = -279 - 456 - 64 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 623282?\nAnswer: -623256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 5*a - 3. Suppose 0 = 276*p - 278*p - 60. Let u = p - -33. What is v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 34. Suppose -n - 115 = -6*n. Suppose n - 83 = -5*u. Calculate the least common multiple of 11 and x(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/1032 + 170\/8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/17)*i*i*((i*i**9)\/i)\/i)\/(i\/(i*(i*i*i**(-1\/2)*i*i*i*i*i)\/i))**(-35) assuming i is positive.\nAnswer: i**(-6175\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1540279472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*(-64)\/(-40). Let g(u) = -u**2 - 6*u - 5. Determine g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 143 = -3*b + h, -3*h = -b + 26. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51 - -941?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*z\/((z\/z**(-1\/9))\/z))**(2\/47)\/((z**1)**(5\/8)\/(z\/z**0*z*z**7)) assuming z is positive.\nAnswer: z**(28361\/3384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 68, 78, 88?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3064116 less than -16.9?\nAnswer: 3064099.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43950 + -43904. Calculate the remainder when 972 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -316, -524, -764, -1036, -1340?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (81 - -2) - ((37 - 51) + 4 - -20)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/((x\/x**0*x)\/x))**(1\/11)*((x\/(x\/x**(1\/3)))\/x**(-2))**6 assuming x is positive.\nAnswer: x**(458\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143408 * 3.97.\nAnswer: -569329.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from qqqacuuquuuququuequq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/2)*s**(-1\/9))\/(s*s**(-1\/2))**41)**(-4) assuming s is positive.\nAnswer: s**(724\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -91. Let h = -130 - c. Let x = h - -101. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31886, 63221, 94006, 124241, 153926, 183061, 211646?\n\"Answer: -275*m**2 + 32160*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-18 + (38 - 66)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.70793 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*l**2 + 1171*l**2 + 946*l**2 + 325*l**2.\nAnswer: 2162*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfrcwirw. Give prob of sequence czi.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9258 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 767*o = -763*o + 12, -5*o = 5*x + 15. Which is the closest to 1? (a) -97 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5671*j**2 + 2157*j + 162475803 wrt j?\nAnswer: -11342*j + 2157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12*-201 + (3 - -1). Let d = i - 33. Calculate the remainder when d is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 11:32 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -344291?\nAnswer: -34429.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from rrrmfmrmrmrmf.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7868*b**3 - 8358*b**2.\nAnswer: 47208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 178 times 1\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20487 is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8318 - 6334. What is the highest common divisor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 18. Which is the nearest to k? (a) -1\/3 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5024 is divided by 628.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from {q: 4, l: 2, d: 8}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41779973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)\/n*((n\/(n*n\/(n\/(n\/(n\/n**8)))*n)*n)\/n)\/n*n*n\/(n**9*n)*(n\/((n\/(n\/((n*n*n**(-7\/2))\/n)*n))\/n))\/n assuming n is positive.\nAnswer: n**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least 44\/397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let r be (-1)\/(-2)*(23 - x). What is the highest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**6*u + 2977146*i**5*u - 2*i**2*u + 12*i*u + 106*i - u - 33 wrt i.\nAnswer: 360*i**3*u + 178628760*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5))\/(-1 - 2)*(-2)\/(-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -117278, -234503, -351634, -468623, -585422, -701983, -818258?\n\"Answer: 8*w**3 - w**2 - 117278*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10735236278964 + -0.05\nAnswer: -10735236278964.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 773122 and 1288?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1453 + -857. What are the prime factors of l?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/9 + 52*f**2\/9 - 184*f\/9 + 176\/9 = 0.\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(5\/(-75)*-5). Let v(f) = -f**2 + 3*f + 5. List the prime factors of v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 22*i - 61. Let h be u(-25). Calculate the highest common divisor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 - 228796*o\/7 - 457600\/7 = 0. Calculate o.\nAnswer: -2, 114400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 8*r**2 + 11*r - 4. Let s be h(5). What are the prime factors of ((-36)\/s)\/(3\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9660 and 2452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/2 (b) -1\/3 (c) 1.6 (d) -0.1 (e) -4396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2 - 12. Solve -2 - l = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*u**4 - 5*g*u + 966*g*v - 95*u**2*v - v with respect to u.\nAnswer: 12*g*u**3 - 5*g - 190*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {a: 1, o: 1, h: 1, i: 2, n: 9, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 262*d - 392. Calculate j(67).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4716625859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s + 0*s)*(-3*s - 5 + 5).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -107 + -4d?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:53 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 144 = 25*t. Suppose -f = -6*f + 20. Let a = -3 + f. What is the lowest common multiple of t and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.328 + -2.028. Which is the closest to 8? (a) 126 (b) 4 (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12019759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5849?\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -42. Differentiate 46*d**2 + n - 6 - 18*d**2 with respect to d.\nAnswer: 56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -116739.\nAnswer: -2\/116739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -x - 544, x - 356 = 5*z - 3*z. What is the common denominator of (27\/z)\/(30\/(-64)) and -56\/15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -64*j**3\/3 - 21*j**2 - 1631*j + 3852. Differentiate t(u) wrt u.\nAnswer: -128*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2071 - -2069. Let k = 29\/4 - 15\/2. Which is the second smallest value? (a) 3 (b) 0.7 (c) y (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -7. Let b(v) = v**3 + 5*v**2 + 3*v - 3. Let k be b(u). List the prime factors of k\/(-9) - (-4)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:39 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p + 9. Let m be (3 - 4)\/(2\/(-4)). Suppose 0 = m*a - 10. Is t(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -528337.\nAnswer: 3\/528337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/4, 0.5, -92280, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3 - 1844*z**2 - 3685*z - 1842 = 0.\nAnswer: -1842, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137, -1139, -1141?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 - 1 + 11*a + 1 + 4*a. Is 14 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 15*x + 2380 = -3*j, 0 = -3*j + 4*x - 2386. Let m = j - -922. What is the remainder when m is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 2:21 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-18) - -1 - (-59)\/6. Solve -g - 3 = 0, -s = 2*m - 0*g + 2*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1454?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913 = -4*r + 55. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3013 (base 4) to base 13.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - s + 18*s + 11*s to l + q*s and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11*z**(-16))\/(z\/z**(-7\/5)*z**2) assuming z is positive.\nAnswer: z**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -791*r + 224. What are the prime factors of k(-12)?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -5 - ((6 - 8) + 10 - 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 309 and 13373484.8.\nAnswer: 13373793.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1 - (-2 - 4) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18 + (-1908)\/1296?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1610 + 1612. Let l be (-8)\/(-3) - (-4)\/12. Solve -l*r + z*r = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*5\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 25. Let w = -539 + 548. Suppose -s*a - 4*r + w = -8, a + 5*r + 5 = 0. Solve a*l - l - p - 11 = 0, -5*l = -3*p - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 10*q**2 - 2*q + 23. Let u = 29 + -39. Suppose w - 5*w = -16. What is the remainder when c(u) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i - 2. Let z be d(4). Suppose -z*p - 9 = -5*p. Put -3, p, 5 in decreasing order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y. Let l(u) = 21*u. Let z(n) = 2*l(n) + 9*m(n). Let o(v) be the first derivative of -1\/3*v**3 + 10 + 0*v**2 + 0*v. Give o(z(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Suppose 2*q - 6 + 2 = l. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001844 rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158209 or -158261?\nAnswer: -158209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*s - 5*p, -24*s - 5*p = -28*s - 10. Solve -s*q - 143 = -163 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70\/9 + -386\/45. Which is the smallest value? (a) 4 (b) 3 (c) 5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w. Let l(a) = -a**3 + 8*a**2 + 11*a - 20. Let z be l(9). Does 10 divide i(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-10 - -5))\/(2\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/453, 0.071, 17, -1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 < 69821\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l + 5*g + 8, -9 = 3*g. Let m = 9 - 8. Put 2, m, l in increasing order.\nAnswer: l, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -711, 5, 2.\nAnswer: -711, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:57 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v*w**3 - 7*v*w**2 - 3812*v + 206*w**3 + 2*w**2 + 2*w + 488 with respect to v.\nAnswer: 9*w**3 - 7*w**2 - 3812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 79214097.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*x - 3*q, -16 = -8*q + 4*q. What is the units digit of x + (-624)\/102 - (-16868)\/34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2\/(-4)*-2). Suppose 7*n = 5*n. Suppose n = -a*d - 2*d + 268. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 82*k + 38 + (k - 3*k + 0*k)*(2 + 0 - 1) in the form u + i*k and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*i = -0*i - 49, -6*j - 18 = 259*i - 260*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-90) + 4\/(-18) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -444793\nAnswer: 222396.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 2401323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + b**2 + b + 2. Calculate k(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -64*j - 74 - 296 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-30)\/(-25)*(-1580)\/(-6). Suppose 0 = s + 3*s - z. Are s and 233\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 + 8*w - 8. Let k be d(6). Suppose y = -2 + k. Find the second derivative of -s**2 + 5*s**y - 2*s**2 + 2*s wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/(2\/(-4)). Suppose -3*o - f*m - 2 = 4, 3*o = -2*m - 1. Suppose -5*v - o*x + 141 = 0, 0 = 3*v - 6*v - 5*x + 75. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(72)*5)**2.\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -186*m**3 + 2*m**2 + 2*m + 1. Let a be h(-1). Suppose -68 = -7*g + 14 + 37. What is the greatest common divisor of g and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*q + 36. Is ((-12)\/42 - (-4)\/q) + 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 4*s + 1. Let u = 32 - 29. What is m(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -36. Factor -13*x**2 - 23*x + 35*x + 4*x**3 - q*x**2.\nAnswer: 4*x*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, -5, -18 in increasing order.\nAnswer: -18, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/563 + -88924\/2815. Let x = -32 - s. Suppose 5*v + 0*v - w + 15 = 0, 5*v + 2*w + 15 = 0. Put v, 1\/4, x in descending order.\nAnswer: 1\/4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*v - 58 - 12 = 879*v - 2*q, -3*v - 170 = 2*q for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88926167 to the nearest integer?\nAnswer: 9430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:53 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**7\/2520 + j**6\/360 - j**4\/12 - 2*j. Let w(p) be the third derivative of b(p). What is w(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let g(f) = 2142*f. Calculate g(n(p)).\nAnswer: 2142*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 + l**5\/15 - l**4\/2 + 7*l**3\/3 - 71*l**2. Let x be o(-6). Solve 2*g - 7*g - 3*w = -4, -5*w = g - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (490\/28)\/((-631)\/15). Let y = 1656175\/493442 - s. Let v = 34\/23 - y. Find the common denominator of v and 22\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/20*(-12)\/(-108)*20\/15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/6 + 2*k. Let j(c) = -3*c**2 + 4. Let q(f) = -12*f**2 + 15. Let z(d) = -15*j(d) + 4*q(d). What is z(n(x))?\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 4817988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -18.2. What is the closest to -0.4 in -4, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/209875 and -151\/9870.\nAnswer: 414293250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/176)\/(1\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 19715?\nAnswer: 1\/19715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -10. Let o be 7\/(35\/h) - -2. Let z = o - 173\/30. Is z smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353117 (base 9) to base 7.\nAnswer: 1542523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355 + -498. Let o = 147 + y. Which is the smallest value? (a) -0.38 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2 - (264\/42)\/1)\/((-1)\/21) and 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.49 + -18.3. Let y = 0.13 - j. Let g = 0.2 + -0.1. What is the closest to g in y, -2, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 569 + -601. Which is the nearest to -1? (a) -2 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 42*a - 312. Determine x(-16).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttttdddtddttd. What is prob of picking 3 t?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r + 7. Let g be j(0). Suppose w - g = 5*o, 0*w - 2*o + 6 = 4*w. Solve 0*n - 8 = -w*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m - 12. Let d be (m - -9)\/3 + 0. Suppose -d*h + 4 = 0, 2*j - h = 3*h + 94. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-18)*2 + (-230)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5563 in -0.11, -7, 4, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*k - 416 = 0, -c + 3*k + 107 = k. Let p(n) = 3*n**3 - 7*n**2 + 6*n. Let d be p(7). Let t = d - c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961 smaller than 2958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6205, -32, -1 in increasing order.\nAnswer: -32, -1, 6205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*m**2*u + 3054*j**2*m*u + 9*j**2*m - 2*j*m**2*u + j*m*u + 415*m**2 - 2*u wrt j.\nAnswer: 4*m**2*u + 6108*m*u + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14278 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/24)\/(((-44)\/24)\/(-11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/2 - 9*c**2\/2 + 2*c - 44. Let j(h) = 5*h - 4 - 3*h + 1 - h. What is 4*i(b) - 11*j(b)?\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1)\/(10 - 11). Let k be 5 + 1 + 0 + f. Find the third derivative of 7*z**k + z**6 - z**2 + 0*z**6 - 3*z**6 wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1845 = d + 4*d. Suppose 9*g = 12*g - d. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60438 + 21*c**2 + 60438 + 2*c**3 + 129*c**2 - 21*c.\nAnswer: 2*c**3 + 150*c**2 - 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1809 and 145017.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709923329?\nAnswer: 3, 189991481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 - -1.1. Let x = -4 + o. Let t be (1\/2)\/((-1)\/(-6)). Sort 0.5, x, t in increasing order.\nAnswer: x, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2947, -6419, -9901, -13399, -16919, -20467?\nAnswer: -24049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 243378 divided by 3\nAnswer: 81126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 4, -34611, 0.3, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41929411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22999665 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/3 and 143\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1317*y**2 + 17*y + 9. Let q be n(-2). List the prime factors of q\/5 - 21\/35.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17711.574 months in years?\nAnswer: 1475.9645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4145\/3111 + 1\/1037. Which is the biggest value? (a) 5 (b) -2.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3012 (base 5) to base 15\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122329639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8725948 years?\nAnswer: 10.4711376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:58 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 86. Determine a(-40).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -807880 (base 12) to base 8\nAnswer: -7512040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3 - -6) + 0. Let h(m) be the third derivative of 0*m**3 + 0 - m**2 - 1\/8*m**4 + 0*m + 1\/20*m**5. Give h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 16. Let i be ((-49)\/(-28))\/((21\/(-48))\/(-7)). Let n = i + h. Solve 2*d + 3*d + n = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3297 or 735009\/223?\nAnswer: 3297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 + 5*l - 5. Let n(w) = 15*w**3 + 12*w - 12. Calculate -12*c(s) + 5*n(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861, 887, 935, 1011, 1121, 1271, 1467, 1715?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96727889 - 96727880.2999802. Let y = b + -8.7. What is y rounded 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 -1? (a) 2 (b) 81931 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 25 = -5*v, 3*v - 15 = 122*i - 120*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b**2 - 2*b**2. Let g(u) = 3*u + 3. Let i(x) = 3*x + 2. Let y(o) = -2*g(o) + 3*i(o). What is v(y(j))?\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**37\/(n\/n**(-2\/9))**(-2\/123) assuming n is positive.\nAnswer: n**(122899\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/91 - 155\/819. Sort 3\/7, h, 0.02, 0.4.\nAnswer: h, 0.02, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4420)\/(-8840)*60\/(-21)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -242. Calculate the highest common factor of 110 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*(b**6\/b)\/b)\/b))\/(b\/(b**(2\/13)*b*b))*b**(-1\/2)\/(b\/(b*b**(-1\/2)*b)))**(-2\/55) assuming b is positive.\nAnswer: b**(48\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 153.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkoookkososokk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) + -1*sqrt(660))\/sqrt(12))\/sqrt(5) + sqrt(88)\/(3*sqrt(8)*-1).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j + 71*j + 0 + 0 + 11*j in the form q*j + v and give q.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*d + 24, -4*f + 2*f + d + 16 = 0. Let w = -29 + 17. Let u = w + f. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -63*o + 59*o + 196, -5*a - 20 = 0. Solve 80 = -o*m + 242 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 94?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53645464.\nAnswer: 2, 197, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1936528 by 4.\nAnswer: -484132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + p + (-614 + 614 - 6*p)*(5 - 2 - 1))*(-1 + 4 - 2)*(-16 - 3 + 1 + (5 - 2 - 2)*(-1 + 0 + 0)).\nAnswer: 190*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 988\/16 - 2\/(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22700440 divided by -4769.\nAnswer: 4760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -t. Suppose n - 2*j = -5*j + 88, 4*n - 3*j - 307 = 0. Suppose z = -4*c + 12 + 1, -4*c + n = t*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*l + 373, -4*b - 5*l + 1657 = 143. List the prime factors of b.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(9)\/sqrt(3)*6)**2.\nAnswer: 12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 533357856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(972) + 0 + sqrt(972) - sqrt(972)) + 5)**2 + ((sqrt(972) + 1)*6)**2)*-3.\nAnswer: -108075 - 4428*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v + 13*v - 5*v + 0*v)*(-3*v**3 + v**3 - 2*v**3) to the form a + u*v**2 + r*v + g*v**3 + z*v**4 and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {q: 3, r: 4, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -516054?\nAnswer: -516053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5876266 by -407.\nAnswer: 14438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - 2) + (34 - 38).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*i + 16*i + 2*i to the form k + l*i and give l.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + 6\/15. Let f be (u - 2)*6\/(-4). What is the highest common factor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 6*o + 4*o)*(260 + 415 + 82) as p*o + t and give p.\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 2*l + 12*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -550 + 405204?\nAnswer: 404324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-11)*(-32)\/48\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -24) + 431 + -459.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 19.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -363*k**2 + 487*k + 574123 with respect to k.\nAnswer: -726*k + 487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 2*w + 3. Let q(u) = 2*u - 1. Let d be q(2). Let x be o(d). Solve 5*p - 3*h + 15 = -19, x = -2*p + 5*h - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let i(p) = -p**2 + 12*p - 22. Let t be i(12). Let q(u) = 23*u + 8. Let w(c) = t*a(c) + 2*q(c). Let o(y) = -y**2. Determine o(w(l)).\nAnswer: -4*l**2 - 64*l - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1196)\/2093)\/(3*4\/(-378))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 8 + -6 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2 - (13 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56559187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(648) - sqrt(18)) + -3 - (sqrt(500)\/sqrt(10) - sqrt(14)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: -66*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) -2\/33 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -20*u**5\/3 - 8*u**4 + 56*u**3\/3 + 32*u**2\/3 - 12*u - 8\/3 = 0?\nAnswer: -2, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 14 + 1 + 3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 3*w**2 + 4*w - w.\nAnswer: 3*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + f - 49 + 33 = 0, 4*f + 48 = 3*t. Let c = -129 + 210. Calculate the remainder when c is divided by 720\/52 + t\/104.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2372*h - 4752*h + 2384*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gogo when four letters picked without replacement from kugoggokoggg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*f = 23, -5 = w - 2*w - 4*f. Solve -3*g + w - 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1324 (base 6) to base 8\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194*g - 2204*g - 1600 = -4318*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0, 46, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2382 + 4531. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/66 and 125\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 91 + -8 + 2 + -8 - -8. Solve 0 = 5*p - 80 + d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 38*f**2 + f + 39. Let o be c(-38). Let r = -17 + 38. Calculate the least common multiple of o\/((-3)\/(-45)) + 0\/20 and r.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2995 + -2706. Calculate the highest common divisor of 187 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21189420.6 and -6.\nAnswer: -21189426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37676500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*b + 28, -13*b + 105 = -30*p - 2*b - 7*b - 9*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12.250538 * -27\nAnswer: -330.764526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 105 = -2*a - 3583, v - a + 871 = 0. Let h = -829 - v. Calculate the greatest common divisor of h and 1476.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499*0.4.\nAnswer: 199.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(2) + 1 + (sqrt(2) - ((sqrt(2) - sqrt(2)*-2) + sqrt(2))*5 - sqrt(2)))**2 + ((1 + sqrt(242) + sqrt(242) + 3)**2 - sqrt(242)).\nAnswer: 127*sqrt(2) + 1711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 526*u + 4*u**4 + 1 - 524*u + 5*u**4 + 4 - 6*u**3 - 10 in the form k*u**4 + t*u + s + q*u**2 + m*u**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c = 2. Let u(d) be the third derivative of d**5\/60 + d**4\/24 - d**3\/6 + 3*d**2. Let x be u(c). Solve 4 + 1 = x*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 4, s: 2, z: 2, q: 1}. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 21213011?\nAnswer: 21213000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejj. What is prob of sequence ej?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 3*d + 8. Let m(y) = y**2 + y + 3. Let g be ((-2)\/((-4)\/(-246)))\/(7 - 6). Let a be g\/39 + 8\/52. What is a*s(x) + 8*m(x)?\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.61419935 to zero decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(176) + 1)*-6)**2.\nAnswer: 10368*sqrt(11) + 229392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -346602 + 6660650628\/19217. Let i = -4649452\/3401409 + o. Let k = i - -2\/59. Is -1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3523495115?\nAnswer: 5, 7, 61, 1650349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:46 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 3*p - 6*p**2 + 13*p**2.\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64001.\nAnswer: 7, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-854 - 114 + 184)*(-9*d**3 + 9*d**3 - 2*d**4) to l*d**4 + x*d + k*d**3 + s*d**2 + n and give l.\nAnswer: 1568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -33. Let c = v - 30.7. Let n = c + -9. Sort -3\/4, -1, n in increasing order.\nAnswer: -1, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose -h*u + 6 = -4. Suppose 3*m - 245 = -u*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 114*s**2 - 2018*s + 599. Determine n(-92).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6746217 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 4*q - 3. Does 6 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 283*t + 8. Let y = -40 + 47. Let w(b) = 567*b + 17. Let n(o) = y*l(o) - 3*w(o). Is n(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2081 = 4*s + f + 2057, -16 = 4*f. Calculate the lowest common multiple of 726 and s.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1643 - 0?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36126419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 52974 = -4*d, 0 = 5*d - 8*d + 3*m + 39708. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8125751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 12, 3\/92, 0.3, 19, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 5*o + 7*p - 6, 0 = 3*p - 3. Let z be o + ((-35)\/7 - -6). Solve 3 = -z*v + 2*m + 1, 2*v - 3*m - 7 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**7\/280 + 3*m**5\/40 - 5*m**3\/3 + 5. Let t(n) be the third derivative of z(n). Find the second derivative of t(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17632817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2519029l in millilitres?\nAnswer: 251.9029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -173547 + -4816\nAnswer: -178363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 (base 10) in base 6?\nAnswer: 13202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933 divided by -4?\nAnswer: -2933\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p + 119. What is the remainder when 96 is divided by b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10 + (-12)\/8 + 5. Determine u, given that 7\/3*u**3 + 2\/3*u**2 + 5\/3*u**s + 0 + 0*u = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-14) + 70\/(-49). Let s = d - -45\/23. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1131429, 2262856, 3394321, 4525842, 5657437, 6789124?\nAnswer: 7920921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242422 a multiple of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 736a3 + -711?\nAnswer: 72a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, -42760, -0.2 in decreasing order.\nAnswer: 2, 1\/4, -0.2, -42760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63878 - 0.5.\nAnswer: -63878.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 20 (c) -114\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -3 - -2)*-1. Suppose j*i - i = 0. Solve -2*a = 3*q - 4, 4*q + 4*a - 8 = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + (-12 - (1 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75500000 rounded to the nearest one million?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52 + 4?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 15 = 0. Let f = m + 0. Solve 5*s - 5*w + 25 = 0, f*w - 10 = 2*s - 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/((-3996)\/(-185))*(-6)\/4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-505)\/1414)\/(4\/14).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 + 2015*z**2 + 601350*z - 6210000 = 0. What is z?\nAnswer: -207, 10, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 306 = 4*p, -5*u = -3*u + 3*p - 306. What is the remainder when 909 is divided by u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145385.69 + 143884. Let o = 1523 + d. Round o to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r - 8. Let f be h(-5). Suppose -p - 31 = z, 2*p + 118 = -f*z + 3*z. Let u = z + 60. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 28*l + 13. Give k(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 27*d + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17904 - 17905. Which is the nearest to -1? (a) i (b) 2\/11 (c) 1 (d) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 2 b when four letters picked without replacement from {c: 1, k: 4, y: 3, w: 3, b: 6, l: 2}.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2 - 4*j - 1 - 1 - 2*j. Let y be f(-2). Factor 5*t**4 + 10*t**4 - 12*t**2 - y*t**2 + 5*t**5.\nAnswer: 5*t**2*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -5*i. Suppose 2*f = 5*q - 15, i*f + 10 = -q + 1. Let d(h) = 11*h. Is d(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.551 rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/276*6). Let r = 28 - z. Suppose -c = -3*q + 77, q + 4*q = r*c + 125. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -d + 4 + 7, u + 2*d + 13 = 0. Let b = u + 7. Factor 0 + 0*x**b - 1\/2*x**3 + 0*x.\nAnswer: -x**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-13 + 29)) + 34 - -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**4\/12 + 4*b**2. Let q(p) = 12*p. Give x(q(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25721 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - w - 15 = 0, 0 = -0*u - 5*u - 4*w - 15. Let c be (3\/4)\/u*-20. Solve 2*r - r = -c*k + 3, 3*k + 7 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28\/85, 7 in ascending order.\nAnswer: 28\/85, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -235 - -238 - (-10 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y**2\/7 + 506*y\/7 - 3400\/7 = 0 for y.\nAnswer: 100\/9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906702637.\nAnswer: 461, 1966817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 0*d**7 + 0*d**3 + 0*d**6 - 5\/56*d**8 - 1\/12*d**4 + 3*d + 0*d**2 + 0*d**5. Find the third derivative of x(k) wrt k.\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152019 and 49875?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*11\/(-11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66609 and 243?\nAnswer: 599481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575 and 805?\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6461*a**3 + 12*a - 12*a + 6101*a**3)*(-7305 - 11*a + 7305) to the form m*a**3 + q*a**2 + n*a**4 + v + p*a and give n.\nAnswer: 3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -103, -154, -111, 74, 449, 1062, 1961?\n\"Answer: 8*v**3 - v**2 - 104*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27687*j + 27691*j - 55375*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/410 and -1\/4783060?\nAnswer: 4783060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8992883 (b) 4\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -849179126 divided by 3?\nAnswer: -849179126\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 5*y)*(-26 - 19 - 13).\nAnswer: 116*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*k + 2*k + 31 = 0, -5*j = -2*k - 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9 (b) 2\/23 (c) -3 (d) -5 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10950 (base 13) in base 12?\nAnswer: 15543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.0738 + 0.0738. Put -0.2, -2, 5, a in increasing order.\nAnswer: a, -2, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8720*l + 914958 = 112718 for l.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 94*m + 74*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Suppose i + q - 3 = 0, 0 = 3*i - 5*q - 10 + o. Find the second derivative of -4*g + 3*g - g**3 - g**i wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -64. Let r = 44.8 - t. Which is the second smallest value? (a) r (b) 1\/2 (c) 0.17 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 + w**2 - w. Let a be g(1). Let n(y) = 12*y - 2. Let z(i) = i + 1. Let d(v) = -3*n(v) + 12*z(v). What is the units digit of d(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4488 is divided by 1061?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.8 + -95. Round z to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h + 4*h + 0*h**2)*(58*h + 14 - 54*h + 13).\nAnswer: -8*h**3 - 42*h**2 + 81*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 141\/2, -1\/4, 35\/11?\nAnswer: 35\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36404.\nAnswer: 2, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 2}. What is prob of picking 1 p and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 10) to base 16\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/5 + 34*j**4\/5 + 1282*j**3\/5 + 7366*j**2\/5 - 256*j - 1480 = 0. What is j?\nAnswer: -10, -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g = -42*g + 12. Suppose 5*u - 70 = -20. Solve 4*z - g*b + 9 = -u, -6 = z - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -21*g. Let t(q) be the second derivative of -q**4\/12 - q. Give s(t(w)).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((-13 - 10) + 66 - -8)) + -21\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23439 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)*(-18 + -1). Suppose -2*f - f + t - 20 = 0, 0 = -2*f - t - 5. Let p = j + f. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpdm when four letters picked without replacement from {d: 2, f: 1, p: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80\/3*k + 2\/9*k**3 + 46\/9*k**2 - 32.\nAnswer: 2*(k - 1)*(k + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*r - 90, 6 = r + 6921*j - 6926*j for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b + 31*b + 97*b to the form y + z*b and give z.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-6)\/(-9)). Suppose 0 = h + 2, q = -0*q - h - v. Suppose -2*c = 4*w + 9 + q, -5*w - 11 = 4*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1034 or 1031?\nAnswer: 1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7 and 27\/56204?\nAnswer: 393428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33629.\nAnswer: 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 246. Let t(a) = h - 2 - 21*a + 28*a. Suppose -i - 3*i + 8 = 0. Calculate t(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 43. Suppose -j - 8 = -5*k, -w*j - 2*j + 12 = k. Calculate the remainder when 14 is divided by (0 - 2)\/(k - 32\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/2)\/((93\/2058)\/(-31)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65738826?\nAnswer: 2, 3, 41, 281, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2 - 2*k - 8. Let z(s) = s**3 - 9*s**2 - 12. Let g(w) = 3*x(w) - 2*z(w). Determine g(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08154? (a) -5 (b) 0.7 (c) -0.4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -479.01*-8\nAnswer: 3832.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 times 0.3?\nAnswer: -68.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 597264.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5286985?\nAnswer: 5, 11, 97, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -38558300 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1249499976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 17 + 9 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*24\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2597\/3 - 877789\/1014. Let v = -22987\/1014 - l. What is the common denominator of -87\/2 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 1070. Let s = -23200 - -23245. Calculate the remainder when h is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/30)\/(((-5200)\/100)\/(-2184)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h**2. Let w(s) = -12*s + 27. Let r be w(2). Let i(z) = r*z - 22 + 49 - 27. Calculate g(i(t)).\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -49.9. Let m = 5.9 + s. What is the smallest value in 2\/9, -11, m?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4848 - 26761. Let r = w + 394577\/18. Find the common denominator of r and 52\/(-16)*3\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o**2 + 0*o**2)*(-2*o**2 - o**2 + o**2) + (-3 - o + 3)*(175*o - 10*o**3 - 175*o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 1. Let l be w(-1). Suppose 2*d + 0*k + 42 = -3*k, -2*d - 5*k - 50 = l. Let o be (26\/d - -1) + (-19)\/(-57). Which is greater: -1\/3 or o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 36 = -l, 5*l - 32 - 20 = -4*w. Let f = 28 - 20. Calculate the highest common divisor of f and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 2:44 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/12*(1 + -1 + -21). Solve -d*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + s. Let i be 2\/(-4)*s\/3. What is the units digit of 6 - (-1 + i) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191\/5 + 38. Suppose 0 = 4*k - 2 - 6. Let q be 2 + -2*k\/4. Is z <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000110685 to seven decimal places.\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13379122?\nAnswer: 2, 6689561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 2*b - 1. Let h(n) = n**2 + 12*n + 8. Let x(o) = f(o) - h(o). Calculate x(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(2\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 39*k**5 + 1839*k**4 - 28266*k**3 + 106524*k**2 - 67176*k - 12960 = 0.\nAnswer: -60, -2\/13, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373, 752, 1157, 1600, 2093, 2648, 3277, 3992?\nAnswer: 4805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 3*j - 22. Let d = 41 + -20. What is the remainder when d is divided by h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 27. Suppose -18 = 4*z + 2*i, -5*z + 0*i - 4*i = y. Let a be z\/10 - 4\/((-1280)\/268). Is a greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76529 divided by 6.\nAnswer: 76529\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 12 + 8, -24 = 4*u + 5*z. Let h be u\/4*(5 - 9). Solve 2 - 3 = -b, -2*c - b = -h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134*i**3*m**3 + 477*i**3*m + 3*i**2*l**2*m**2 + i*l**2*m**3 + 2*i*l**2*m**2 - m**6 wrt m.\nAnswer: 804*i**3 + 6*i*l**2 - 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/23 and -97\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 1 + 11. List the prime factors of ((-1)\/2)\/(x\/318).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 4840985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.068511 months?\nAnswer: 0.000570925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*(-8)\/32*-20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 8. Let f be (-2)\/(8\/(4 - 0)) + 5. Solve 2*i - 18 = -4*m, 0 = g*i - 8 - f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10040\/1506)\/(1\/30). Which is the third smallest value? (a) l (b) -0.04 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + -18)*(-40 - -178)*(-3)\/(-63). Solve g*t**2 + 0 - 68\/7*t**4 - 24\/7*t + 16\/7*t**5 + 32\/7*t**3 = 0.\nAnswer: -1, 0, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-8)\/1 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4716 and 406920.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 8)*(-n**5 + 0*n**5 + 0*n**5).\nAnswer: -13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let s(i) = 2*i + 1. Let c(h) = -91*h - 21. Let p(x) = c(x) + 21*s(x). Determine p(j(d)).\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14\/13 - -71\/78. Let a be -4 + -1 - -3*(-210)\/(-63). Suppose -3*g - 3*h + 0 = -9, g + 5*h = -1. What is the nearest to 2 in a, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 15. Solve 2*b - 2 = c - n, -c - 5*b = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -3*s**2\/2 - 173*s - 2660. Let y(q) = 3*q**2. Determine y(z(w)).\nAnswer: 27*w**2 + 3114*w + 89787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 203\nAnswer: -3857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**5 + 5*y**5 + y**5 + (3*y + 4*y - 6*y)*((4*y - 5*y + 0*y)*(2 - 2 - y**3) - 2*y**4 - 3 + 3).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (-4 - -2) - (-1 - 24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let v(o) = 184150*o. Determine b(v(h)).\nAnswer: 33911222500*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153 - 0?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561964 and 1605.\nAnswer: 8429460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + -16.3. Let g = 21 + r. Let k = -6.9 + g. What is the second biggest value in -3, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.5816l in millilitres?\nAnswer: 538581.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 15) to base 7\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddd when four letters picked without replacement from {o: 13, u: 3, d: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.54 + 0.44. Let u = -130 + 131. What is the nearest to 2 in c, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*q*t**3 + q + 238503*t**3 + 303443 wrt t?\nAnswer: -12*q*t**2 + 715509*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 24*b. Let x(m) be the third derivative of 0 + b*m + 1\/6*m**4 + 0*m**3 - 3*m**2. Give x(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166 + -85?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8669, 2, -5 in descending order.\nAnswer: 2, -5, -8669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 - -327. Let h(g) be the second derivative of 2*g + 7\/2*g**2 + 1\/3*g**u + 0. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 13.75. Let o = s + 0.25. Let p = -27.8 - -28. What is the biggest value in p, o, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 801*j**3 + 800*j**3 - 8*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 14520*d + 14520*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiii when four letters picked without replacement from {i: 6, f: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -294 + 316. Suppose 0 = -z*a - 21*a + 55513. List the prime factors of a.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2196265.5 months?\nAnswer: 18302.2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5979484 to the nearest integer?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-2*(4 - 3)). Let o be f\/(2 - -2) - -1. Suppose 0 = -c + 6*c - o*m - 120, -4*c + 2*m + 98 = 0. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (sqrt(84)\/sqrt(192) - (((sqrt(7) + 0)*-3 - sqrt(7)) + sqrt(7))).\nAnswer: 4 + 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(15\/(-35)) - -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 99*r**2 + 15*r - 34595. Give k(-95).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3760 by -752.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 10*n - 67. Let a(c) = 2*c**2 + 15*c - 64. Let p(z) = 2*a(z) - 3*j(z). Let x(r) = 3*r**2. Calculate x(p(t)).\nAnswer: 3*t**4 + 438*t**2 + 15987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-3 - 4)\/(2\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 13 (b) -0.01 (c) -3 (d) -0.3 (e) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1025914 divided by -33094\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*l**2 - 4*l**3 + 2*l**3 - 227*l**2 + 449*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let s be (-1 + 1 - -16)\/2. Let f(n) = 10*n. Let u(m) = -m - 3*m + 5*m. Let d(i) = s*u(i) - f(i). Give h(d(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 54 = 3*p - 4*r, -4*p + 8 = 5*r. Suppose p*i + 5*h = 2*i + 1015, i = -3*h + 213. Calculate the highest common factor of i and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 84*u**2 + 23*u + 46. Let h be n(-2). Let p = h - 208. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -287730206 - 4746.\nAnswer: -287734952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2. Let t be o(-1). Let w be -1*2\/(1 - t). Find the third derivative of -w*j**2 + j**3 - j**3 + 2*j**3 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*m + 1138 = 0, 0 = -3*l + 8*l + 4*m - 1442. What is the greatest common divisor of l and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1187 - -1.8813. What is the smallest value in -0.5, w, -0.2, 1.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g - 2*o = -15, 5*g - 2*o = 9. Suppose 22*v = 198 + 22. Which is the third smallest value? (a) 0.3 (b) 4 (c) g (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (3 + -7) - 3. Suppose 3*l + 2*a = i*l + 9, 5*l - a = 78. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/2, -0.7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/99592 and 67\/64.\nAnswer: 796736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/36)\/((-6)\/54).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -33, -8?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.63157 from 103.7.\nAnswer: 104.33157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c**2 + c**2 - 3*c**2. Let t(v) = -3*v**2. Determine y(t(m)).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8197516*b**2 + 7*b**3 - 8197516*b**2 - 6 + 6*b in the form n*b + v*b**3 + k + f*b**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3357 + -4a5?\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 1, 55, -2 in decreasing order.\nAnswer: 55, 6, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - i - 4 + 4 - 2 + 0 + i + (-1 + 2 - 4)*(-29*i + 48*i - 25*i) in the form s*i + u and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 483\/105) + 126\/10. Calculate the greatest common factor of 1572 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3045 divided by -4947.\nAnswer: -1015\/1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1. Let j(u) = 3*u + 6. Let g(t) = j(t) + 6*n(t). Let a(x) = 7*x**2. Calculate g(a(b)).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7 = 22, 0 = t - 3*l - 11. Let j(z) = 6*z**t - 2*z - 7*z**2 + z + 0*z. Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -934 by -5.\nAnswer: 934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 1\/4 (c) 5 (d) -3\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*h + 26, 25 = -4*b - h - 4. What is the remainder when 167 is divided by 15\/(-60) - 170\/b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (152\/6)\/((-6)\/18). Let q = -71 - f. Solve -q*r + 6 = -2*m - 3, 5*r - 21 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2714 - 878. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 321\/5 + 12\/6. Let w = -66 + h. Let b = -9\/16 - -93\/80. Put 0.3, b, w in descending order.\nAnswer: b, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2) + -1)\/(-1). Suppose 2*g - 4*g = a. Solve 0 = 4*u - g - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82627.7 * 135\nAnswer: 11154739.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 42. Calculate the lowest common multiple of r and (2 + -3)\/((-1)\/5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*z + 3*o, -z + o - 3*o - 9 = 0. Let n = 15 + z. Let y = 2 - -4. What is the smallest common multiple of y and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82768 + 521*r - 387*r - 82768.\nAnswer: 134*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8815.082 litres in millilitres?\nAnswer: 8815082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 5682*m**2 - 22767*m + 17082 = 0.\nAnswer: -1898, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14052 + -13872. What is the lowest common multiple of w and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -17130?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 24. Let f be g(24). Suppose -11*h + 0*h - 572 = f. Let x = h - -84. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1342 - 4?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/12)\/(1 - (-195)\/(-192)). Calculate the greatest common divisor of j and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l + 652 = 3226. What is the remainder when 540 is divided by l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/420 + 20576\/896. Let i(f) be the first derivative of -f**4 + 0*f + 0*f**2 - k + 4\/5*f**5 + 2\/3*f**6 - 4\/3*f**3. Factor i(b).\nAnswer: 4*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(-1 - 0). Let z(u) = 2*u**2 + 135*u + 570. Let d be z(-63). Solve -d*s - 2 - 10 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5*s)*(2*s - 4 - 2*s - s).\nAnswer: -5*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.12934 to one decimal place.\nAnswer: 100.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 36 = -2*z, 2*c - 1647*z = -1643*z - 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((42\/27 - 1)\/((-62700)\/(-3762)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1340079478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91, -164, -223, -262, -275, -256, -199, -98?\n\"Answer: x**3 + x**2 - 83*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x - 34. Let p = -17 - x. Solve i - 2*i + 1 = p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.118 + -0.098. Which is the fourth biggest value? (a) -4 (b) 1\/5 (c) h (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2. Let h = 814 - 805. Let z(a) = 57 + 34*a - 3*a - h*a - 9*a - 14*a. Give z(q(f)).\nAnswer: -4*f**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150437 + 0?\nAnswer: 150437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0075 from 0.13.\nAnswer: 0.1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (3 + -9)) + -1 + 5 + (277 - 362).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7 = 4*m, 7*m = m + 5*m - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.29 - 0.11. Let n = 0.4 + x. Let d = -1.0000125 - n. What is d rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 + 4*b**3\/3 + 2*b**2 + 2*b - 26. Let j(r) = 2*r**3 - 5*r**2 - 5*r - 2. What is -4*j(x) - 5*k(x)?\nAnswer: -3*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 3, 1 in descending order.\nAnswer: 3, 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 30067?\nAnswer: -57127.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**2 - 6*r + 9.\nAnswer: -3*(r + 1)*(5*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/8 + 11\/40. Factor 0*h**3 - 4\/5*h**2 - 2\/5*h**5 + y*h + 4\/5*h**4 + 0.\nAnswer: -2*h*(h - 1)**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 147445, 294890, 442335, 589780, 737225, 884670?\n\"Answer: 147445*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaazzzzzz. Give prob of picking 1 a and 3 z.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 2*i**2 + i - 10. Let j be y(3). Let u(r) = -8439*r**3 + 3*r**2 + 2*r - 4. Let n be u(j). What is n rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11726, -23453, -35180, -46907, -58634?\n\"Answer: -11727*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3405 divide 3046008277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340 + -339. Let o = 33 + -31.01. Let k = 0.01 + o. Which is the third biggest value? (a) d (b) k (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 + 0.5. Let s = m + 2.94. Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58314392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 + 1866*j**3 - 436172*j**2 + 430584*j + 868624 = 0.\nAnswer: -1, 2, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20517 by -188.\nAnswer: -20517\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(0 + 2 - 7)*(0*r**4 + 3*r**4 - 4*r**4 + (9*r**3 - 2*r**3 - 25*r**3)*(-2 + r + 2)).\nAnswer: 95*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114786613*n*r**2*z + 1710*r**2*z - 30*r**2 - 2*r*z + 2*r wrt n?\nAnswer: 114786613*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)*z**(-6)*z)\/((z*z**(-2\/13)\/z*z)\/(z\/z**(-3\/5))) assuming z is positive.\nAnswer: z**(-2192\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/(-18))\/2*42\/30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 381374*p - 15 + 7 - 381351*p.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 1. Let d be z(-1). Put -4, -3, d in ascending order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-6) - -1)*(-224)\/(-6). Let c be 5\/(-1)*i\/40. Suppose 4*p = -x + 194, -4*x = -1 - c. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1541*g + 875*g = -734*g - 176400 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, 6\/199, -14, 2\/9, -5, 5, 3.\nAnswer: -14, -5, 6\/199, 2\/9, 3, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1197756936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -235.08 times 2\nAnswer: -470.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -159\/7. Let p(o) = -o**2 + o + 1. Let g be p(2). Which is the closest to g? (a) 0 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 57 + 50)*((2 - 4 + 3)*(l + 2*l**2 - l) + 2*l**2 + 2*l - 2*l - 2 - 3*l**2 + 2).\nAnswer: -117*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/279502 and -40\/6873.\nAnswer: 838506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756218609?\nAnswer: 756218609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7762739 litres to millilitres.\nAnswer: 776.2739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100) + sqrt(2100)*2)\/sqrt(3) + sqrt(21)\/(-2*sqrt(3)) + (sqrt(525) - sqrt(21))\/sqrt(3).\nAnswer: 67*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 501.\nAnswer: -38\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 19*s**2 - 18*s + 4. Let q be t(20). Let w = q - 40. Let r(n) = n + 12. Let b be r(-9). Solve 2*y - 12 = x, y - b*x - 7 - w = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 4. Suppose -b = 4*o - 2*o - 16, 5*o - 5*b = 25. Let d(l) = -7*l**2 - 7*l + 2. Let g(p) = -8*p**2 - 8*p + 2. What is a*g(y) + o*d(y)?\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3837, 3829, 3833, 3855, 3901, 3977, 4089?\n\"Answer: a**3 - 15*a + 3851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3838*l**2 + 95*l - 1888*l**2 + 644*l**2 - 143 + 69 + 75 wrt l?\nAnswer: -10164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/57*8*4\/(-64)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 23 = -33. Calculate the lowest common multiple of o*(5 - -2) - 20\/5 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2981979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z + 61*z + 56 = 13*f, z - 4 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, -3, -1, 5 in descending order.\nAnswer: 49, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597 - 1932 = 89*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4392 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from yyyyyyuyuuyyyyy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2925695*p. Let m(v) = 4*v. Calculate m(i(g)).\nAnswer: -11702780*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*b - 2*b + 8, -3*b - 4*g + 6 = 0. Suppose -b*p = -p - 3. Suppose j - 2 = p*j. Sort j, 0, 2.\nAnswer: j, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -20*q**2 + 0*q - 1\/24*q**4 + 0 - 1\/2*q**3. What is p(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1775297*w**4 + 7*w**3 + 3150869*w wrt w?\nAnswer: -21303564*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 54*h**2 + h + 9. Let l be m(3). Suppose -d - 1492 = -4*u, -2*u + l = d - 421. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5615 divided by -801?\nAnswer: 5615\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 31*g - 119. Let w(m) = -m**2 + 3997*m. Calculate w(v(i)).\nAnswer: -961*i**2 + 131285*i - 489804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4 - (1 + -5))\/2)\/4. Solve 9 = 5*b - n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m + 4*s = 74*m + 1717, 4*s - 8 = 0. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.47 - -0.53. What is the nearest to -2 in -2, -37, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10054946.\nAnswer: 2, 11, 457043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.240637 to the nearest integer.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3454 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6, -2*p + 5*f + 17 = -8. Let b = 102 - 102. Suppose b = 61*t - 58*t - 60. What is the highest common divisor of t and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 25*v - 185. Let j be d(-31). Put -122, -5, j, 5 in increasing order.\nAnswer: -122, -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/23689 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153864288 + 3?\nAnswer: -153864285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {u: 12, w: 1, h: 4, q: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/7 - 6968940*g\/7 - 111502016\/7.\nAnswer: -4*(g + 16)*(g + 1742219)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9359999*x - 4. Let j be i(10). Let s be 4\/(-6) + j\/9. Round s to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11025*g - 126. Let s(j) = 441*j + 5. Give 5*r(f) + 126*s(f).\nAnswer: 441*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43376 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b - 2*b + (-1 + 1 + 2*b)*(0 - 1 + 0) - 2*b - 1 + 1 - 19 + 38 + 2*b - 24.\nAnswer: -4*b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - 0 - (-15 - -23)) + (118 - 111).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 76*r**2 + 12*r - 125*r**2 - 9 + 50*r**2. Suppose 13*f - 22*f - 117 = 0. Give w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/3)*h*h**(-8\/7)\/h assuming h is positive.\nAnswer: h**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93617, -93618, -93619, -93620, -93621, -93622?\n\"Answer: -g - 93616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*j**2 - 37*j**2 - 128 + 253 - 64*j**2 - 120 + 2*j.\nAnswer: -204*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -50*u**2 - 177*u + 5. Let h(n) = 10*n**2 + 35*n - 1. Let m(g) = 2*d(g) + 11*h(g). What are the prime factors of m(8)?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -3. Let o = -15 + 22. What is the lowest common multiple of o and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x - 5 = g, 35 = 5*g - 5*x. Does 8 divide 8*(0 + 12\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*b**2 + 233 - 820*b**2 - 238*b**2.\nAnswer: -822*b**2 + 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1500*y**2 + 1 + 2369*y - 1 - 1510*y**2 - 2369*y.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87615970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 160650 divided by -6\nAnswer: -26775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j - 92*j**2 - 85*j**2 + 197*j**2 + 7 - 9.\nAnswer: 20*j**2 + 16*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 717663280 to the power of 1\/3, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61485732 divided by -11.\nAnswer: -5589612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 213*c + 2674. Calculate the remainder when 1525 is divided by k(-12).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -920, -905, -876, -827, -752, -645, -500, -311?\n\"Answer: p**3 + p**2 + 5*p - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**2 - 96*x - 552. Determine l(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -116 and -152028\/1327 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2737 - -2737.000567. What is b rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -46, -15, 18, 47, 66, 69, 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.6 (c) 3\/5 (d) 1\/8 (e) -2 (f) 22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6258 and 2.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 202. Let r = m - -137. Let w = r + -28. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526\/10 + (-2)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 110375 + 110375.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**3\/3 - 19*w**2\/2 - 9*w + 20. Let y be d(-14). Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330 * 3.\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 72351*o - 1085259. Calculate c(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 72. Let u be k*3\/(-9)*(-9)\/(-6). Suppose 0*r**2 - 3\/4*r**4 - 3\/4*r**u + 0 + 0*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 52. Let m be j(5). Suppose -4*k - 24 = m. Which is smaller: k or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 99 = 84. Solve y*w = -10 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5396, 5428, 5456, 5480, 5500?\nAnswer: 5516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 6 - 6)*(-4 + 2 - 3) - 4*w + 5*w + 0*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaicaapaiiiiiici. What is prob of picking 3 i?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.21, 1\/6, -3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/1507 - 104043\/30140. Calculate the common denominator of 8 + (-7*(-452)\/(-264) - -4) and d.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367\/5 - 73. Let p = -0.0444 + -0.0426. Is p at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 8. Let q be y(-6). Suppose 0 = 5*k - 0*k - 10. Let p(d) = -d**3 - 2*d**2 + 8*d. Let x be p(-4). Solve q*n + k*n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155173 is divided by 51697.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by (18\/(-10))\/((-114)\/570)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 31\/3166295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a factor of 3468092100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 265001.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3*f**2 - f - 3. Let l be (-2)\/(-8) - (-182)\/(-56). Let q be y(l). Solve 3*o + 5*x = o + 21, q = 5*o - 5*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 113*k**2 - 7*k**3 - 113*k**2 - 5 wrt k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2 - 4. Suppose 3*b - 12 = -3*r, 2*r - 7 = b + 1. Put t, b, -1 in descending order.\nAnswer: t, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2976215313 to the nearest integer?\nAnswer: 54555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1934160 and 11184?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from nsstnnnnnxnnnxtssnn?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.83 + 5?\nAnswer: -8.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 66 = -2*f. Suppose n - 21 = 3*b, -2*n - 4*b + 30 = -f. 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: Suppose -18*v = -17*v - 4. Suppose -125 = -s - h, -v*h + 379 = 5*s - 2*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 32. Suppose 28 = 3*p + p. Let s = p - r. Do s and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*c*d**3 + c*d - 122604*c + 534*d**3 - 12287*d - 4 wrt c?\nAnswer: 62*d**3 + d - 122604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -210572.58297 and -267?\nAnswer: 210305.58297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = 211*s - 245*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112820a (base 14) in base 16?\nAnswer: -7c9c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-i + 2*i - 4*i) - 2*i - 2*i + 2*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m**2. Let b(c) = -70*c. Calculate b(n(j)).\nAnswer: 770*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, -0.23, -3\/7 in increasing order.\nAnswer: -0.43, -3\/7, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070.03 rounded to the nearest 10?\nAnswer: 6070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:01 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1546365799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 p when four letters picked without replacement from pppgppppgppppg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 21. Give p(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3314 or 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 743730.3 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 5*a = -43*i + 40 - 5, -48 = -6*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l + 6. Let u(p) = -11*p - 13. Calculate 5*b(g) + 2*u(g).\nAnswer: 8*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624768915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1546 and 4?\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 14*y - 24*y**2 - 11*y**2 + 2*y**3)*(3 - 4 + 3)*(-2 + 2 + 2*y**2).\nAnswer: 8*y**5 - 140*y**4 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186386688*t + 31638362 with respect to t.\nAnswer: 186386688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -721334356 to the nearest 10000.\nAnswer: -721330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/301 and -73\/10.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1007 + -1)*(-2)\/(-4). Let w = x - 13579\/27. Suppose l = 2*i + 3, -5*l - 1 = 2*i - 28. Is i less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 + 2*b + 43. Let g(a) = -5*a**2 + 3*a + 42. Let v(n) = 2*g(n) - 3*u(n). What is the units digit of v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*u = 7, a - 4*u + 3 + 8 = 0. Let y be a\/15 + 1\/5. Let n = 0.3 + -0.2. Sort y, n, -2\/5 in ascending order.\nAnswer: -2\/5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/(276\/140 - 2). Let m be 10 - 8 - (-36)\/n. Let f = 173.5 + -174. What is the nearest to -5 in f, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.695538 and -14.\nAnswer: -14.695538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -317*w**3 - 3*w**2 + 3. Let f(d) = -635*d**3 - 5*d**2 + d + 5. Determine -3*f(y) + 5*n(y).\nAnswer: 320*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 555*z**3 - 1635*z**2 - 1625*z - 540.\nAnswer: -5*(z + 1)**3*(z + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1355, -1360, -1367, -1376, -1387, -1400?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5300 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 68*l\/13 + 144\/13.\nAnswer: -2*(l - 2)*(l + 36)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/(-66))\/8*33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617339 is divided by 308665.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6403*p**2 + 909*p**2 - 45*p**2 in the form d + v*p**2 + n*p and give v.\nAnswer: -5539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m - 2*m + (-2*m + 3*m + m)*(-2 + 1 + 0) + 16*m + 14*m - 11*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/2, 756, -0.2 in decreasing order.\nAnswer: 756, 0.1, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7 - -1) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -291*78.2\nAnswer: -22756.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 6*o**2 + 2*o - 1. Give h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/4 + 95*x**4\/2 - 8125*x**3\/4.\nAnswer: -x**3*(x - 125)*(x - 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2139 - 1421. Suppose -2*h = -o + 371 - 1752, 0 = -h - 5*o + p. List the prime factors of h.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:00 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 + 7)*(-20 - -21). Suppose -72 = -9*k + 5*k. Calculate the greatest common divisor of n and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b**2 - 2*b + 2. What is t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5790 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -14*t - l + 10, -5*t - 5 = 6*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*i = -2*w - 11, -4*w = 3*i + 8. Is (-8)\/(-20) + (-238)\/w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - (-508)\/(-24) - -2 and -65\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 27 = -47 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 487221326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*j + 7, 3*j + 2 = -5*q + 15. Solve q*n = n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, w: 2}. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 40710*c + 7739118. Calculate u(-191).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 37 - 72, -3*y = -3*p - 123. Calculate the remainder when 2327 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -125 - y**2 - 190*y**3 + 15*y + 141 - 130*y**3. Does 21 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -119 - (-24 - (-2 - 7)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*q - 228 = 2596, -q = -2*a + 1145. What is the remainder when a is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (1 - 0)) + -5 + 3. Calculate the remainder when 24 is divided by (-4)\/(9 + w) - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.45 - -0.05. Suppose -i - 2*w = 12, 0*w - 4*w - 6 = -i. Let z(o) = -o**2 - 5*o + 4. Let p be z(i). What is the second smallest value in 2\/7, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -x + 5*a, 4*x - 37 = 4*a + 159. Calculate the remainder when 2666 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - q**2)*(14 - 13 - q + 13)*(3 - 3 + q**2)*(5 + 4 + 29).\nAnswer: 38*q**5 - 532*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2328 + -2322. Let p(q) = 4*q**2 + 10*q - 31. Let v(s) = s**2 + 3*s - 10. Let l(w) = 2*p(w) - 7*v(w). Is 6 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21221310213 (base 4) to base 10\nAnswer: -2530599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 + 269. Which is smaller: u or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -483*n**4 - 378 wrt n?\nAnswer: -1932*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(396)*2)\/sqrt(9))\/((sqrt(144)\/sqrt(12))\/(sqrt(768) + sqrt(768) + 2*sqrt(768))).\nAnswer: 640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26414 - 18511. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3184480?\nAnswer: 2, 5, 13, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = 70. Solve 2*o**3 - h*o - 2*o - 8 - 10*o**2 - 4*o**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.69425118 to 1 decimal place.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from ymmumyyy?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2396907463 or -1?\nAnswer: 2\/2396907463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -45031 and -37210 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366988413.\nAnswer: 3, 1122329471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -7319262.\nAnswer: -80511882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*h + f*k - 6*f*u + 2*f - 2*h*k*u + 18*h*k - 3*h + 3*k*u wrt h?\nAnswer: 2*f - 2*k*u + 18*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-12) + 0\/(-3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let d(r) be the second derivative of r**3\/2 + 2*r. What is the units digit of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -46. Let w = r + 14. Let k be (-319)\/440 + (-3)\/w. Which is greater: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, 2\/331, 0, 0.2, 5 in increasing order.\nAnswer: 0, 2\/331, 0.2, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -118 and 10.\nAnswer: -1180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24823*c - 25029*c = -824 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -461 - -461.0457. Let g = 0.0456723 - r. Round g to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (3 - 1) + (-8 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 381436461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4539 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7830018 < -7830007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2128 (base 9) to base 11.\nAnswer: -11a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 1, f: 5, r: 1}. What is prob of sequence wr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 12*g**3 - 6613*g**2 + 505*g + 25346 = 0.\nAnswer: -23\/12, 2, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:21 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.407 - -1.297. Let v = -68.19 - z. Let s = v - -49. What is s rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*b**3 - 11*b + 825 wrt b?\nAnswer: 57*b**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1216) - -5*(sqrt(1216) - -2*sqrt(1216))) + 3*(-2*(sqrt(1216) + -4 + sqrt(1216)) - sqrt(1216)))**2.\nAnswer: -42624*sqrt(19) + 14982912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 3, -1\/3, 345?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 492, 849, 1280, 1791, 2388?\nAnswer: 3077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -4 - -2) + -18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265 (base 7) to base 3.\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 18*l**2 + 69*l - 12. Let n be p(-7). Let d(r) = 6 - 3*r**3 + 5*r + 6*r**2 + 0 + 5*r**3 - r**3. Calculate d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 1374.\nAnswer: 49\/1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.13 + -19.3. Let q = 0.07 + a. Sort q, -3, 1\/3 in descending order.\nAnswer: 1\/3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 + 2.47. Let u = 407\/288 - -65\/32. Let p = u - 11\/3. What is the nearest to -2\/3 in 6, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and ((-2)\/55)\/((-4)\/(-83)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -1)*(-335)\/(-1675)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/35)\/(42\/(-147)). What is the fourth smallest value in -1\/2097, 3, 1\/12, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 216*v**2 + 397*v + 4747. Let x be f(110). Let t(c) = 2*c - 40 + 2*c - 2*c. Determine t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose -f = -s*l + 3 + 8, -3*l + 29 = -4*f. Suppose 2*p + 51 = -l*j + 162, 2*p = -6. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 0, 2*d + 491 = -q - 13. Let h = d - -255. Calculate the highest common factor of 141 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - l - 2. Let s(g) = -86*g**3 + 3*g**2 - 4*g - 8. Determine 4*j(z) - s(z).\nAnswer: 90*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2390541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5 + 1)\/(28\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6951*v + 7092*v - 15263*v - 897 wrt v.\nAnswer: -1220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15550.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 1111210221200?\nAnswer: 1111210222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-140 + 141 + -1 + 18)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12490564 a multiple of 5417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160047514 to the nearest integer?\nAnswer: 12651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*9\/(-18)*4\/(12\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 5, g: 14}. What is prob of sequence xcg?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u\/u**(-8\/9))*u*u**(-26) assuming u is positive.\nAnswer: u**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 3 + sqrt(245) + sqrt(245) + 1*sqrt(245) + 3)**2.\nAnswer: 2772*sqrt(5) + 13956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 + 81*c - 30.\nAnswer: -3*(c - 5)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1646*a - 74. Let m be s(6). Let l = m + 15551. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 35*q**2 - 41*q. Calculate the least common multiple of 8 and i(-36).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, g: 1, h: 1, a: 5}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-68) - (4 + (-95)\/2). Which is the second smallest value? (a) x (b) -0.1 (c) 1\/9 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (9 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b1c + -18?\nAnswer: -5b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1916*d**3 + 4*d**2 - 5*d + 11. Let y = 59 - 56. Let z be h(y). Round z to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11921, -10195, -8477, -6767, -5065?\nAnswer: -3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x - 2. Let d be (-27)\/(-18) + 10\/(-4). Let o(g) = -2*g - 3*g + 4*g. Determine d*i(p) - 6*o(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(12\/7))**1*(a**1)**(-48)\/((a\/(a**(4\/3)*a))\/(a**(1\/5)\/a)) assuming a is positive.\nAnswer: a**(-5104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -207*f**3 + 17*f**2 + 10*f - 1. Let r be p(-7). Is 2\/(-21) + r\/63 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 2\/175 (c) -5 (d) 4 (e) -0.067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20614332*b*p**3 + 167*b*p**2 + b*p - 59*b - 3*p**3 - p**2 - 136*p - 1 wrt p.\nAnswer: -123685992*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 - (4 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4282943320 and 23.6.\nAnswer: -4282943296.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 31*t - 7. Give c(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:37 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2324214003 + 22?\nAnswer: 2324214030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5703805.\nAnswer: 5, 61, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38988.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - d727?\nAnswer: -d725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = -4*x. Let o = 13 + x. Solve -4*q = -3 + o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:38 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 121. Let w(o) = -41. What is 2*q(z) + 7*w(z)?\nAnswer: -2*z - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/171*1*(-4)\/16?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 15 - 3*s - 112 - 88 - 40 in the form u*s + c and give c.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 254 + -7 + 6\/3 - 6. What is the greatest common factor of 621 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.06331mm to meters.\nAnswer: 0.08006331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.32, -5, 7, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = o - 7, 276 - 280 = 4*i. Suppose 3*v - z + 48 = -2*v, -9 = -3*z. Calculate the least common multiple of o and 113\/3 + (-3)\/v.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9246 and 1428842?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681 > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 48*f**2 - 5267*f - 29096. Give s(115).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195263519 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2453? (a) -37 (b) -17 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 10292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:01 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -134\/5 (b) -4 (c) 2\/9 (d) 0.02 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.076.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q = -84*q. Suppose -5*u + 5 = 5*g, q - 4 = u - 4*g. Suppose 47*z - 42*z - 110 = u. Solve -s = a + 7, -6*s = -2*s + a + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1557.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 14 - 12 - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 0.3, -2\/49, 5, 3, 0?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*p - 105. Suppose 3*a - p = -0*a. Let b(n) = -n**3 - 6*n**2 - 2*n - 9. What is the remainder when a is divided by b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 20*c + 189. Give j(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2626310 and -81\/26?\nAnswer: 34142030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-39)\/(-7)) + -9 + 8364\/884?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16269\/(-5481) + 2\/(-63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55060 - -c?\nAnswer: 5506c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 1. Let l be m(-1). Suppose 6*c - 5 - 7 = 0. Solve -5*x = 3*p + 19, -l*x + c*p + 6 = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-380*t + 471*t + 596*t).\nAnswer: -2061*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + y - 574, -13*u + 12*u + 5*y = -265. What is the greatest common factor of 114 and u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31313321 (base 4) in base 16?\nAnswer: ddf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21177463 or 21177464?\nAnswer: 21177464","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 240617 = -7*k, 238508 + 2091 = 5*c - 4*k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -37?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3648 - 2055. Is d a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*x**2 + 98*x**3 + 39*x**2 - 16*x**3 + 34*x**2 to g*x**3 + a + z*x**2 + o*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87235.\nAnswer: 5, 73, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -52. Let c be -743*-6*(-2 - p). Is (-2 - -1)\/((-6)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27120)\/50)\/113*2\/8.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Let u be t(-2). Let c be u\/(-2)*(-24)\/1. What is c rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-4152 - 2*m - 9*m + 3*m + 7*m) to the form b*m + p and give p.\nAnswer: 8304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1) + 1)*-4. Suppose -25 = -5*l, f - 11 = -j*l + 13. What are the prime factors of f\/2 - (-5 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-5) - (-1)\/5. Let l be (k + (8 - 2))\/2. Find the second derivative of -4*h**2 + l*h**2 - 2*h**4 - h + 2*h wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10106\/3 - -3842. Let l = s - 461. Calculate the common denominator of -2 - -254*(-1)\/24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n**2 + 5. Let p(s) = 16*s**2 + 6. Let q(a) = -5*p(a) + 6*y(a). Let t(r) be the first derivative of r**3 - 160. What is q(t(m))?\nAnswer: 90*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/3 + 482*t**4\/3 + 1940*t**3\/3 + 648*t**2 = 0. Calculate t.\nAnswer: -2, 0, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 v when three letters picked without replacement from {w: 1, t: 6, k: 4, v: 2}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 11. What is the third derivative of -l**3 - i*l**2 - l**2 + 3*l**2 - 3*l**2 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 6, 78, -2, 0, 76 in ascending order.\nAnswer: -11, -4, -2, 0, 6, 76, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 + 2*p + 2. Let b be n(3). Let k(c) = 3*c - 2. Let d be k(2). What is the third smallest value in b, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30600 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1063*c**3*k**2 - 2*c**3 - c**2*k**2 + 1069*c**2*k - 3*c*k wrt k.\nAnswer: 2126*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Suppose 3*m - 5*l = 110, 2*m + 0*l - x*l = 72. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, -3, 197, 2\/5, -2\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1084, -4241, -9362, -16333, -25040, -35369?\nAnswer: -47206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, 3, 0.\nAnswer: -2, 0, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 141*b**4 + 8*b**3*q + 3*b*q + b + 179001*q wrt b?\nAnswer: 564*b**3 + 24*b**2*q + 3*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**2 - 9*j**2 + 19*j**2)*(1 - 1 + 2)*(-11 - 1 + 3)*(-3*j - 3 + 3).\nAnswer: 1458*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -175*o. Let k(s) = -11*s - 551. Let l(n) = -n - 57. Let i(g) = -12*k(g) + 116*l(g). Determine j(i(d)).\nAnswer: -2800*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s**4 - 4*s**4 + 7*s**4 + (-s**2 + 3 - 3)*(-2*s**2 - s**2 + 5*s**2).\nAnswer: 3*s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f. Let x be c(0). Let n = 22 - 18. Let m be -2 + -1 + (n - -2). Solve 0 = -m*b + 4*j + 27, -b - 2*j + x*j = 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31105 and 103265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:59 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 98. Suppose 154 = q*v - 2*v. Solve 0 = 3*t - v + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 + 3*b - 4. Let v be c(-4). Let l(f) = -f**2 - 2. Let k be l(v). Let m(j) = j**2 - 17*j + 68. Let h be m(10). Are k and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a7 (base 12) to base 5\nAnswer: 4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 10 = -5*l - 2*y, -3*y = 2*l - 7. Let d be (-1)\/l - 11\/(-4). Suppose -5*a + h = 5*h - 40, -d*a - 5*h = -37. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 24 = -4*k, -4*w = 3*k - 19. Let r be k\/(45\/(-6)) + (-239710)\/(-6). Is r\/13 + 2\/(-13) - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = s + 10, 2*n - 2 = -250*s + 246*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2. Let s(f) = -1732248*f**2. What is s(o(d))?\nAnswer: -43306200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 50*v**2 + 250*v - 2. Give o(-1).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 6. Let s(f) = -f**2 - 7*f + 1. Let m be s(z). Suppose 8*c = 3*c + i - 1, -2*c - i = -m. Solve -b + 0*b = c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 13. Let g(x) = -x**3 - 15*x**2 - 9. Let l be g(-15). Let d(k) = 3. Give l*d(z) - 2*p(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 6, -136*o - 3*f + 6 = -139*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w**3\/7 - 38718*w**2\/7 - 62076036*w\/7 + 124306992\/7 = 0.\nAnswer: -3468, -2987, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:51 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*n + 418*n - 43 = -3*v, -3*n = -4*v + 41 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, -2\/9, -76, 1, 31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**5\/40 + g**4\/16 + g**3\/8 - g**2\/4 - g\/2 - 16. Suppose u(f) = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63925596*x**2 + 135670581*x?\nAnswer: -127851192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by -4957\nAnswer: -166\/4957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-4 + sqrt(5) + sqrt(5))**2 + sqrt(5) + (1 + (2*sqrt(5))**2 - sqrt(5)) + (1*sqrt(5) + 0 - (sqrt(500) + -1)).\nAnswer: -9*sqrt(5) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930, 955, 992, 1047, 1126, 1235, 1380, 1567?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436525390?\nAnswer: 2, 5, 7, 1223, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254525 and 27325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -35 (c) -4\/9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11537358143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1820 and 74462180?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 9:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 2, j: 2, n: 1, b: 1}. Give prob of sequence xb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -27.6. Let r = 0.6 + f. Let k = 27\/2 - 14. Which is the nearest to k? (a) r (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m - 40*m + 18*m.\nAnswer: -43*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*i + 4*i - i)*(i**2 + 0*i**2 + i**2).\nAnswer: -4*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4600, 4619, 4650, 4693, 4748, 4815, 4894?\nAnswer: 4985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 8. Let q be l(2). Let p(t) = 21*t - 132. Let y be p(6). Is ((17592\/(-18))\/4)\/(q\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - h**2 - 3*h + 25. Let k(s) = -5*s**3 + 3*s**2 + 3*s - 24. Let q(o) = 5*k(o) + 4*u(o). Let d be q(11). Solve d = -5*t - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-86 - -84) + -60).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 s, and 1 x when four letters picked without replacement from {g: 1, x: 3, f: 2, h: 6, s: 7}.\nAnswer: 63\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 12 + 1 + i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m = -n - 92*m + 342, 644 = 2*n - 2*m. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 - c**3\/6 - c**2. Let a(f) = f**3 + 28*f**2 - 264*f + 138. Let r be a(7). Determine s(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + (-32 - -226) + -71.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1)\/(2 + -1). Suppose t*v + 5*n - 38 = 0, -5*v + 24 = 5*n - 21. Suppose 0 = -5*r + v + 23. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/15)\/((-63)\/(-35)). Is h at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 239 and 24617?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 31, 55, 87, 127, 175, 231?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8927458.\nAnswer: 2, 4463729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from nxxehgebhenb?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 120 = 2*n, -5*n + 9*k - 4*k + 330 = 0. Solve -n = 4*f - 62 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 8. Let l be x(-4). Suppose -4*t + o + 213 = 0, -5*t + 178 = -l*o - 80. Suppose 0 = -14*p + 11*p + t. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*v + 78*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3083.999088 + -3084. Round g to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:03 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 16 = 0. Let y(a) = a + 13. Let p be y(-9). Suppose -6 = p*j - 18. What is the remainder when l is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295624 is divided by 42230?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/168571 and 32.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -419194210*j**2 - 211*j + 283606 wrt j.\nAnswer: -838388420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4018 + -32195\/8. What is the common denominator of q and 49\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/30 - f**5\/60 - f**3\/6 + f**2. Let x be v(2). Suppose 4*p - 7 + x = 0. Which is smaller: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 4 in increasing order.\nAnswer: 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178526507*q**5 + 1928*q**2 - 50849 wrt q.\nAnswer: 10711590420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6521741240 to the nearest 1000000.\nAnswer: -6522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:01 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002331584 to five decimal places.\nAnswer: -0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 24. Calculate p(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293241250 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-7))\/((-2589)\/48328)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 195?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 640835.83712 and -0.1?\nAnswer: 640835.93712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:02 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 2, u: 1}. What is prob of sequence zcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:50 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/18*26\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 2. Let p(y) = -4*y + 2 + 7*y + 2. Let g be 2*2\/(-4) + -1. Determine g*p(m) - 5*a(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.34 + 0.14. Let j = -0.8 + l. Let x = -1 + 6. Which is the second smallest value? (a) x (b) 4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:15 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2)*4\/51)\/(9564\/(-40647))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) 13 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n. Let y(x) be the second derivative of x**7\/1260 - x**4\/2 - 8*x. Let u(m) be the third derivative of y(m). Give u(z(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 + 6. Let t = -0.6 + o. What is the closest to t in -3, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let t be (-5)\/15 - (-31)\/3. Let u = t + -3. Let q(p) = -u + p + 7. What is h(q(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.2, 0.103, 1\/6 in ascending order.\nAnswer: -0.2, 0.103, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = -4*j, 5 = 4*j + 13. Suppose -128 = -h*l - 613. What is l rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + v**2 - 10*v - 12. Let y(r) = -3*r**3 - 2*r**2 + 9*r + 11. Let p(x) = -2*w(x) - 3*y(x). What is the tens digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 11:22 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 3*v - 129, 4*o + 548 = -4*v. Let i = o - -139. Find the third derivative of i*m**4 - 11 - 5*m**2 + 3*m**3 + 16 + 5*m**4 wrt m.\nAnswer: 216*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748236774.\nAnswer: 2, 3, 8147, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1022 + 1021.407. Let a = s + 0.017. Let r = a - -0.58. What is r rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 32*s + 6. Let z(i) = 1. Calculate -p(b) + 5*z(b).\nAnswer: -32*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1798, 3787, 5772, 7753, 9730?\n\"Answer: -2*d**2 + 1995*d - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.3, 0.2, -4\/9, -79?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) -4 (c) -1151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 18*n**2 - 2275*n - 32651. Determine s(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (142 - 141)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*l**4 + 2*l**3 + 18*l**2 - 2499*l + 44525598 wrt l?\nAnswer: 40*l**3 + 6*l**2 + 36*l - 2499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 + 145. Suppose r = -3*u - 4*u + 399. Suppose 4*y - 78 = 2*m, -5*y + 99 = -0*y - 4*m. What is the greatest common factor of y and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -0.09, -3\/8 in descending order.\nAnswer: 2, -0.09, -0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-11))**2 assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/10 + 31*q**3\/6 - 467*q**2 - 50*q + 2. Differentiate b(k) with respect to k.\nAnswer: -6*k**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56512?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58e5 (base 15) in base 8?\nAnswer: -44712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523396723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6\/7)\/h)**(2\/99)\/(h*h**(2\/13)\/h)**(1\/30) assuming h is positive.\nAnswer: h**(-337\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 12*m - 14. Let r be i(3). Sort -8, r, 1 in increasing order.\nAnswer: -8, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - g = -10, 0 = -126*y + 127*y + 3*g - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.3 (c) 61\/6 (d) 2\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6726, 6759, 6792?\n\"Answer: 33*b + 6693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11161 by -1233.\nAnswer: -11161\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b. Let h(k) = -6*k**3 - k. Calculate -2*d(f) + 2*h(f).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a - 5*g + 30125 = -34*a, 3*g = -5*a + 150801. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Suppose l + 4*b = 25, 2*l = j*b - b + 14. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 + 35*y**3 - 609*y**2 + 1080*y = 0. What is y?\nAnswer: 0, 2, 18, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - -9. Let l = t - 47. Is l + (78*1 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28, 3, 58, 143, 264, 427, 638?\n\"Answer: c**3 + 6*c**2 + 6*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 77. Is 7 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c + 3*a, -4*c + c + 4*a - 10 = 0. Let f = c - -3. Suppose -b + f - 4 = -2*j, -4*b + 3 = -3*j. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 5*c**4\/4 + 46*c**2. Let h(l) = 16*l. What is h(a(q))?\nAnswer: 480*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 + 2. Let g(m) = 99*m**2 - 25. Let s(k) = 2*g(k) + 25*l(k). Let z(y) = -y**2 - 7*y. Calculate z(s(i)).\nAnswer: -4*i**4 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 22. Let l be i(9). Is 6 a factor of 46\/3 + l\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261723, 261716, 261709?\nAnswer: 261702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 10*n**2 - n - 14. Let v be x(10). Let u be v\/(-18) + (-4)\/(-6). Suppose u*p = 24 - 4. Calculate the greatest common divisor of p and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -0.1, -269, 3, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*g = -0*g - 5, 2*d = 5*g + 5. Suppose -i - 2*i = d. Let b = -6602 - -6607. Solve 0 = -i*a - b*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (2 + -10 - -24)) + 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -795, -3157, -7007, -12345, -19171, -27485, -37287?\n\"Answer: -744*u**2 - 130*u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.294*-0.09.\nAnswer: 0.38646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/1172 and -89\/16.\nAnswer: 4688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -33*b + 12*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*n - 40 = 2*n, x - 8 = n. Let h(a) = -a**3 + 13*a**2 + 5*a + 26. What is the smallest common multiple of h(x) and 6?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16199366.52 to the nearest 10000.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30892903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69966.06 rounded to the nearest 1000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105164*j**3 + 52579*j**3 + 52583*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*u = -5*u - 6, -5*i = 3*u + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17480030*q. Let y(b) = 3*b - 17. What is y(g(r))?\nAnswer: 52440090*r - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-2*w + 7*w + 5*w)*(-7 - 3 + 2)*(0 + 0 + 1 + (-5 + 2 + 5)*(5 - 5 - 2)).\nAnswer: 720*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in 1\/2, 4\/13, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.3 (c) -0.6 (d) -2 (e) 3827 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0529*30.\nAnswer: 1.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-7 - -2) + -10 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16901*y + 217. Is j(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttrr when four letters picked without replacement from {r: 7, t: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2849164.8 months?\nAnswer: 237430.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - 1291\/(-5). Let y = d - 115. Let t = 143 - y. Solve -6 = -t*x + 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 36*i**2 + 31*i**2 - 6*i**2 as z*i**2 + m + g*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.93 less than 21?\nAnswer: -43.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 + 10\/(-2)*-6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*h + 15 = -207*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 55*y**2 + 27*y + 39. Calculate w(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -164, -418, -786, -1268?\n\"Answer: -57*h**2 + 31*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + (-6)\/30. Which is greater: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*((x**(-3)*x)\/x)\/x)*x\/(x\/((x**(-1\/17)\/x)\/x))*(x**(2\/3))**(2\/3) assuming x is positive.\nAnswer: x**(365\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17901 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 35*p**4 - 110870*p**3 + 87896055*p**2 - 150290020*p - 50117780 = 0.\nAnswer: -2\/7, 2, 1583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10418, 1, 3 in decreasing order.\nAnswer: 3, 1, -10418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40670\/28 + 1 - (-6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**3 - o**2 + 47*o - 81. Let b = 26 + -4. Calculate the remainder when v(2) is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/6 - i**2\/2 + 3*i + 1. Let w(y) be the first derivative of j(y). What is the units digit of w(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -25 + -1768 + 1779.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 26*t + 13*t + 498, 0 = 5*j + 26*t - 23*t - 132 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -296\/3, 0, 0.3, -1, 1.906?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*h*x**3 - 591*h*x**2 - 2*h*x + 29*h - 1002*x**3 + 157*x**2 wrt h?\nAnswer: -72*x**3 - 591*x**2 - 2*x + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/5 - 2*b + 398. Let k(c) = 8*c**3 + c**2 + 1. Calculate 2*k(t) - 5*p(t).\nAnswer: -4*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 240*u - 19. Let f be x(2). Let c = f - -431. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -89, -26, -5 in descending order.\nAnswer: -2, -3, -5, -26, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 18. Suppose 3*t = 3*o - 66, -3*o + 5*t + 66 = -f*o. What is the least common multiple of o and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37620989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/63018 and 99\/38900.\nAnswer: 3150900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*n - 45*n - 1488. Calculate the greatest common factor of n and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:29 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/5 (b) -3 (c) 68 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1014, -2062, -3110?\nAnswer: -4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 5. Let v = -2.5 - r. Let d = -1 - 1. Which is the closest to 0.1? (a) d (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 753.\nAnswer: -13\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -344399444.5 rounded to the nearest one million?\nAnswer: -344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1189*o**6\/120 - o**5\/2 + o**4\/24 + 10*o**3\/3 + 4*o**2. Let v be s(-20). What is v rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 6*d - 28. What is m(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 401953 - 1003*m**2 - 401953 + (5 - 3*m - 5)*(-2*m - m + 5*m) + 2*m**2 + 0*m**2 - 5*m**2.\nAnswer: -1012*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(16\/(-4) - (-188)\/2). What is x rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -936 * 38\nAnswer: -35568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3 and -68\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23999 + -23998.976. What is the nearest to 1\/2 in r, 3, -5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 - 4*b**2)*(-1 + 2*b + 1) - 2*b - 22*b**3 + 10*b**3 + 8*b**3 + (b**2 - 4*b**2 + b**2)*(5*b - 6*b + 3*b).\nAnswer: -10*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21795 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a. Suppose s + 4*s - 78 = -3*u, 3*s = -3*u + 48. Suppose -5*c + s = -a*c. Let d(y) = 2*y - 1. Give d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2. Let g(l) = 2960*l**2. Give g(w(r)).\nAnswer: 145040*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 5*b**2 - 2*b**2 + 12*b**2 - b**2. What is the tens digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 10) in base 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36)\/((-1231)\/(-29544))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46465, -46497, -46529, -46561, -46593, -46625?\n\"Answer: -32*v - 46433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m*s**4 - 12*m*s - m - 170*s**4 + 23003 wrt s.\nAnswer: -16*m*s**3 - 12*m - 680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/23, 6\/55, 91, 0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130040 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + p - 3 = 0, x - p + 0 - 5 = 0. Suppose -x*m = -3*m + 16. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52201.\nAnswer: 52201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 13*d + 360 - 5*d - 363 - d. Let x(q) = -481*q - 91. What is 6*x(s) - 182*z(s)?\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-5)*-5*(-4)\/120?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*u + 16 - 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6324*d**2 - d + 16216.\nAnswer: 12648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 65 (b) -2\/5 (c) -1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03881 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000328757041 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n)*(-81*n + 81*n + 2 - 3*n**3 + (-2*n - 3*n + 6*n)*(-2*n**2 - 1 + 1)).\nAnswer: 5*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3641319.\nAnswer: 3, 11, 36781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1167, -4164, -7165, -10170?\n\"Answer: -2*f**2 - 2991*f + 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**3 - 20*r**2 - 272*r - 48. What are the prime factors of x(-8)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spspppp. What is prob of sequence ps?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from 104741.\nAnswer: 104708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2260, -4564, -6832, -9046, -11188, -13240, -15184, -17002?\nAnswer: -18676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.316 - 4089496427?\nAnswer: -4089496448.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/((-9)\/((-18)\/(-4))). Solve 4*y = -s + 8, -3*s = 3*y - 2*y - v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 14*n**2 - 159*n + 8. Determine k(-7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.678875mm to centimeters.\nAnswer: 0.0678875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -12 + -18 + (35 - -3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**3 - 3*u**2 + 10*u - 6. Let y be c(-6). Let v be (y\/18)\/(1\/3)*-1. Let f = v + -4. What is f rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x + 0*x + 5*x + 50. What are the prime factors of r(-6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2507.149429 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 48*a**2 - 2. Let q(o) = -2550*o. Determine v(q(m)).\nAnswer: 312120000*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u + 5. Suppose -4*y + 1 - 9 = -3*m, 0 = 5*m. Let n(t) = -t**3 - t**2 - 7*t - 5. Let x be n(y). Is 11 a factor of z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456266?\nAnswer: 2, 19, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let l be (-40)\/7 + (-4)\/14. Let o = l + 10. Suppose -2*f - 2*d + 0*d = -12, o*f = -3*d + 22. Determine p(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -3*u, h - 5*u = -4*u + 2. Suppose -h*n = n. Suppose -2*b + 2*s - 2390 = n, 3*b - 7*s + 3575 = -2*s. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:26 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let r(d) = -3*d - d + d - d. Give r(g(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 400 = -5*j, -2*i + 5*j - 195 = -4*i. Suppose 0*r = -5*r + i. Suppose -m + r = -5. What is the least common multiple of 5 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49194 and 936.\nAnswer: 2558088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*k + 1293 - 12455 = 0, -2*y + 22292 = -2*k. List the prime factors of y.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 98. Solve m*u + 15 = 5*z, -z + 5*u + 11 = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 995.3246 years?\nAnswer: 0.9953246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {h: 1, e: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*p - 3*p. Let v be p\/((-20)\/12 - -1). Solve -v*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 14*g**2 - 16*g + 11. Let u be w(-12). Let z = -6 - u. List the prime factors of z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Let i = 4.4 - 5. Let u = i + 0.2. Which is the closest to g? (a) u (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**3*y**3 + 3*i**3 + i**2*y**3 - 3*i**2*y**2 - 7*i*y wrt i?\nAnswer: 48*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t. Let n(j) = 2*j**3 - 2*j**2 - j + 1. Let o(x) = 2*f(x) + n(x). Determine o(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20553084 times 0.5\nAnswer: -10276542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.26 + -1.66. What is n rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53687 rounded to two decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in 40, 0.03, -0.09, 0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-2\/7)))**(-27)\/(f\/(f*f\/(f\/f**(-1\/3)))*f)**3)**49 assuming f is positive.\nAnswer: f**(-1897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:46 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from yyyyyyyyyyyyyyaaayyy.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1451430011 - -51?\nAnswer: 1451430102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 3*w + 6*w)*(w - 2*w + 2*w) + 2*w**2 - 11*w**2 - 9*w**2 + (3*w - 2*w + w)*(w - 4 + 4) + 2*w - 2*w + 2*w**2 to n*w + t + g*w**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -33, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 1027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 126 = -18*r. Let h = -10 - -8. Let m = h + 11. What is the highest common divisor of r and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27610.07 - 27610. Put r, 70, 7, -3, -1\/10 in decreasing order.\nAnswer: 70, 7, r, -1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921054.\nAnswer: 2, 960527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 39*k**3 + 0*k**2 - 128*k**3 - 4*k**2 + 2*k**2 + 162*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -428 - 724. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/15861 and -101\/132?\nAnswer: 697884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - c + 2177, -2*c = -l - 0*l + 735. Suppose b - 3*g = 719, b - l = g + 4*g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10825*w**3 + 8660*w**2 - 4330. Let v(i) = 3*i**3 - 2*i**2 + 1. Calculate h(l) + 4330*v(l).\nAnswer: 2165*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43005324 (base 6) to base 3\nAnswer: -2101001122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**(4\/5)*g)\/g*g))\/g)\/g**(-1))\/(g\/(g\/g**0))**(-11\/3) assuming g is positive.\nAnswer: g**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, k: 10}. What is prob of sequence xx?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/364)\/((-14)\/(-833)*2)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/k*(((k*k**(4\/5))\/k*k)\/k)\/k*k)**(-28) assuming k is positive.\nAnswer: k**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.071 - -0.071. Suppose 0 = 3*k - 5*o + 32, -5*k - 2*o = -3*o + 68. Let r be k\/8 + 17 + -15. Which is the closest to r? (a) 1 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2364175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/142 and 31\/71.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610429227 to the nearest integer?\nAnswer: 24707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696 = 45*m + 16*m + 55*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**4 + 45*q**3 + 204*q**2 + 306*q + 138. Let n(d) = -2*d**4 + d**3 - d + 1. Let r(a) = 6*n(a) + p(a). Determine t so that r(t) = 0.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.75623 millilitres in litres?\nAnswer: 0.02475623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30620 + -0.01849575.\nAnswer: -30620.01849575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 102*v**2 - 1083*v + 105. Give q(12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 157795 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644977.\nAnswer: 644977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 136 (b) -1.6 (c) 110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (-13 - (-13 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950 divided by -5?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*x + 5. Let w be (-15)\/6 - 9\/x. Let v(a) = 4*a + 1. What is v(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 3 = 3*q. Let a be 1\/(-2) + 154\/4. Let y = a - q. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*f = -567*f - 17508. Which is greater: -1460 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*y**5 - 6*y**5 - 4 - 6*y**2 + 177*y**3 - 180*y**3 - 1 wrt y.\nAnswer: -360*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1165 or -4?\nAnswer: 1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let n(d) = -10*d + 1343 + 1339 - 2681. What is n(b(m))?\nAnswer: 10*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2, u: 8}. What is prob of picking 2 g and 1 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044 and 290.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(133)\/(sqrt(175)*2) + (-2*sqrt(1216) + sqrt(19) - (sqrt(19) + 2*sqrt(1900)))**2).\nAnswer: 3*sqrt(19)\/5 + 147744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 25 = r. Let v = r - -26. Solve 0*c = -c + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190851552?\nAnswer: 2, 11, 3383101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23012410 (base 5) to base 4\nAnswer: -301311021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + 5 + (1 + (1*sqrt(171))**2 + sqrt(171) - ((sqrt(171) - 4*sqrt(171) - sqrt(171)) + 1)**2) + -3).\nAnswer: -5128 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*20\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 336414355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13\/5 + ((-6)\/2 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from kqkkqk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 8*g**2 + 8*g + 11. Let b be y(-7). Suppose 3*a - 480 = 4*v - 6*v, -4*v - 3*a = -948. Let w(x) = -v - x + 232 + 2*x. What is w(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 3, 5, -1, 4 in ascending order.\nAnswer: -123, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 - -246. Suppose t = 2*x + 22, -x - 2 = -2*x. Solve -f*n = 9, -5*n + 6 - t = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from jdaai?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1051, 1276, 1501?\n\"Answer: 225*g + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3 - 4 - 1 - 3*s**2)*(3*s + 975391 + 0*s - 975412).\nAnswer: -9*s**3 + 54*s**2 + 57*s + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 104145 and 0.4783.\nAnswer: 104145.4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 210*q - 92*q - 67*q - 660 = 79*q, -92 = j + 4*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 31*d - 25*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209*m**3 - 65*m + 122*m - 57*m - 1048 - 316*m**3 wrt m?\nAnswer: -1575*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836290376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*y - 81. Calculate the remainder when y is divided by 4*(2 + 3\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 292220*u - 4269626420 = 0. What is u?\nAnswer: 29222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*v + 8487, 0 = 2*n - 0*n - 2*v - 4244. Let r = -1101 + n. Does 68 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (12 + -50) - -41?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835506602 rounded to the nearest one million?\nAnswer: 1836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11. Let g(h) = h + 23. Let i(v) = 5*f(v) - 2*g(v). Let c be i(5). Suppose 0 = y + m - 2*m + 7, 5*y = 3*m - 29. Sort c, y, 0 in ascending order.\nAnswer: y, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0)\/(1\/36). Let p be (450\/u)\/(2\/8). Let s be (-6538 + -2)*p\/15. What is s rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*p, 2*v - 5*p = 1 - 3. Suppose -q + 0 + 2 = 0. Solve 6 = q*u - v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 6792*z**2 - 2883204*z.\nAnswer: -4*z*(z - 849)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 60*t**2 + t + 3. Let i be b(5). Let w = 847 + -1852. Let f = i + w. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9\/a)**(-6\/7) assuming a is positive.\nAnswer: a**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 687375*q**2 + 2350*q - 45825. Let a(m) = -1171*m**2 - 4*m + 78. Let f(g) = -1175*a(g) - 2*x(g). Let u(n) = -2*n**2. Calculate u(f(v)).\nAnswer: -2761250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2852 (base 16) in base 8?\nAnswer: 24122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -26*m + 16*m + 10*m + 7*m**2. Let c(b) = -253*b**2 - 241*b**2 + 504*b**2. What is n(c(d))?\nAnswer: 700*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 - 6*s + 4. Let q be (-247)\/52 - (2 - 14\/8). Let r be k(q). Solve r*c - 8*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 6, -5, -20?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -252, -553, -974, -1515?\n\"Answer: -60*c**2 - c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -159, 213, -2 in decreasing order.\nAnswer: 213, -2, -13, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 22 = -11*k + 3*z, 5*k + 3*z = 29. What is the nearest to 3\/2 in -0.4, k, 2\/39, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 0, 5*d + 11 = -3*k + 2. Let w be -7 - ((-41)\/4 - 22\/528*-6). Solve -2*p - w*p - 20 = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.5, -223, -1116?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-63)\/((-81)\/(-9)) - -4. Let c be i\/15 + -3*219\/(-135). Factor -c*u - 4 - 2\/3*u**2.\nAnswer: -2*(u + 1)*(u + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -196*n + 192*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(26*k + 4*k - 10*k)*(2*k + k - 5*k) - 5*k**3 + 4*k**3 - k**3 - 2*k**3 + k**2 - k**2 + (-k - 3 + 3)*(1 - k**2 - 1).\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10636376 is divided by 2948.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149177 a multiple of 707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 7*k - 66)*(-3 + 3 + k**2).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/10)\/2*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876326?\nAnswer: 2, 11, 61, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/10)\/((-1)\/12). Solve -2*b = -0 - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:21 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57\/2 (b) -1 (c) 3 (d) 0.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0 - 5 - 6 + 3*m. Let h be d(5). Differentiate -8 - 9 - 23*w**h + 1 + 7*w**4 with respect to w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15020 divided by -43107?\nAnswer: -15020\/43107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 11811880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1112597887 greater than -1112597887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/7)\/((6210\/(-378))\/115)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11.4. Let l = -11 + 21\/2. Which is the closest to -0.1? (a) l (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h - 358 + 48 = -7*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/710 and -123\/6024350.\nAnswer: 6024350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 4638885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erd when three letters picked without replacement from {d: 3, e: 2, r: 1, k: 7, h: 4, l: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + ((sqrt(1053) + 1 - sqrt(1053)) + 1 + (-2*sqrt(13)*2 + sqrt(13) - (sqrt(13) + 1*sqrt(13) + -1)))**2.\nAnswer: -30*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 41\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000180757358 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-35))\/(24\/(-392))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1476436404 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + p = 18. Let h(q) = -4*q - 8 + 4 + 4 + 3. Determine h(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55.9, 0.7, -5, 4, 1\/4, -2 in decreasing order.\nAnswer: 4, 0.7, 1\/4, -2, -5, -55.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(4*g + g - 2*g) + (2 - 1 - 3)*(3*g + 2*g - 4*g) + 12*g - 6*g - 15*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2334*f**2 + 7*f - 27. Let y be q(3). What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5648, 11236, 16772, 22256, 27688?\nAnswer: 33068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2098217 grams in micrograms?\nAnswer: 209821.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*i + 53 + 29 = 0, 3*f + 3*i - 108 = 0. Let k = f + 105. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -2. Let l be 3\/(0 + g\/(-8)). Suppose -7 = -t - l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 15*m - 60. Let r be w(-8). Let b be ((-3)\/(-2))\/(1\/(-2)). Sort b, 0, r, -5 in descending order.\nAnswer: 0, b, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 852970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13303.5 rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/153*-3 + -2. Let o = -7 - 4. Let w = o - -10.9. Which is the closest to w? (a) z (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0585 + 7.4931.\nAnswer: 7.4346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/8 + 2535901*p**2\/4 - 15215399*p\/8 + 5071799\/4 = 0.\nAnswer: 1, 2, 5071799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/27 and 4\/3*(75\/36 + -4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50369 or -50367?\nAnswer: -50369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 46 - -26) + (-1 - (-10 - -1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 11 = -41. Suppose -b = -0 - h. Calculate the greatest common divisor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 568446 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -7, 8, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12930\/36 - (-1)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*z + 21 = -4*z, -4*i - 47 = 3*z. Let x be i\/(-5) - (2 - 1). Put x, 0, -2\/13 in increasing order.\nAnswer: -2\/13, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from uhheeeunneuuhneeeen?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 567*f**3 - 1 - 4673*f**3 + 8299*f**3 + 20706*f**3 to the form l + p*f + j*f**2 + s*f**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*d**6*w + d**5 - 91*d**3*w - 18*d**2 + 205*d*w + 2*d wrt d?\nAnswer: -5640*d**3*w + 60*d**2 - 546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3647*r**2 - 68*r - 137. What is the ten thousands digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-6)\/12)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 5. Let a(b) = 3*b + 5. Let j(y) = -6*a(y) + 7*f(y). Let h be -1 + 9 + (9 - 21). Calculate j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 847*h - 701*h - 29*h**2 - 4*h**4 + 30*h**2 + 0*h**3 to the form f*h + t + a*h**3 + c*h**2 + b*h**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -16, 7, 3 in decreasing order.\nAnswer: 7, 4, 3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5383 + 90*x**3 + 5383 + 2*x**2 to the form n + y*x**3 + k*x + a*x**2 and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1\/2)\/((-15)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*b = -2276 - 2398 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319742720?\nAnswer: 2, 5, 1249, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2904 = -209*a - 275*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6) - (sqrt(54) + sqrt(6) + sqrt(6)) - sqrt(6))*3)**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 + -662\/5. Which is the nearest to 1\/2? (a) 3 (b) f (c) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/185837 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2*x**2*y**2 + 5*i**2*y**3 + i**2 - 11*i*x**2*y**3 - 112*i*x + 25*x*y**3 - y**2 wrt y?\nAnswer: 30*i**2 - 66*i*x**2 + 150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**1)**(6\/29) assuming w is positive.\nAnswer: w**(6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 903 + -593. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-71))\/(-60*140\/16800).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*h*v*z**3 + 2*h*v*z - 4*h*v - 88*h*z**2 + 3*h + v*z**3 + 2*v*z - 28*v wrt z?\nAnswer: -120*h*v*z - 176*h + 6*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.657795739 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2 - 147*i + 76*i + 2 + 78*i. Let l(n) = -3*n. Determine l(y(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2418461*p**2 + 2*p + 118899 wrt p?\nAnswer: 4836922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 8*c + 40 = 0. Suppose 0*s = c*s - 3*d - 33369, s + 4*d = 6660. Let r = s + -79939\/12. Find the common denominator of -79\/48 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 5\/6*s**3 + 1\/24*s**4 + 0*s + 6*s**2 + 0. Let h(n) = n + 9. Determine 3*h(v) - 5*m(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/20)\/((-42)\/630*-15)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - ((-294)\/343)\/(3\/14). Which is the second biggest value? (a) l (b) -4.3 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*154\/(-35)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/48)\/(-4*(75\/(-5))\/(-240)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20 and 137\/182 + (-3)\/(-2 - -5)?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4913 + 0.5087. Sort 3\/4, x, 1468 in increasing order.\nAnswer: 3\/4, x, 1468","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*w - 1083*w + 51*w - 597*w to the form m*w + a and give m.\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -12, -9\/52, 4 in ascending order.\nAnswer: -12, -2, -0.4, -9\/52, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 5. Let q be y(2). Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let r = -2.7 + k. Let f = 1\/22 + 19\/66. Which is the smallest value? (a) -2 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003477 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -5. Let m = -15 + z. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, e: 3}. What is prob of sequence ce?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 21. What is the first derivative of b*l**4 - 29*l**4 - 28*l**4 + 22 wrt l?\nAnswer: -108*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8)*24\/20)\/((-8988)\/(-1712)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -378*w - 3441 - 339 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 168469.\nAnswer: 2863973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/4 - 67*n**4\/4 + 79*n**3 - 92*n**2 - 64*n + 124.\nAnswer: (n - 62)*(n - 2)**3*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2877857497\/402 + -7158835. Let r be (189\/2835)\/(134\/10). Let j = l + r. Calculate the common denominator of j and 91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + 3) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76610668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 367560 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*j + 5*c + 25, 0 = -4*j - c + 4. Let x(a) = -580*a + 1161*a + 2 - 580*a. Let g(r) = -3*r - 5. What is j*g(p) + 5*x(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -17, -5, 5, 10 in increasing order.\nAnswer: -17, -5, 4, 5, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**2 + 5*k + 2. Let g be v(-6). Suppose -4*a = -0*a - g. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:01 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k + 32. Let q be g(-1). Suppose 9*u - q*w = 10*u - 2, 4*w = -16. Solve 0*h = 5*h - u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45816, -91628, -137440, -183252, -229064, -274876?\nAnswer: -320688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 17*o - 26. Let u(d) = -d**2 - 8*d + 13. Let n(j) = -4*s(j) - 9*u(j). Is n(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655221312 divided by -4550148.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220873889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230301 + 3331320?\nAnswer: 3101013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w**4 + 8*w**4 + 5*w**4 + (3*w**2 - 2*w**2 + w**2)*(4*w**2 - 3*w**2 + w**2) to m*w**3 + n + k*w + s*w**4 + z*w**2 and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 317924213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 580\/(-50) + 11. Find x, given that -s + 3\/5*x**2 + 0*x = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 1 w when three letters picked without replacement from {a: 2, w: 2, n: 2, g: 4, d: 1, j: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -909953\nAnswer: -4549765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 33 = -p, 451*r - 28 = 447*r. Factor 1250\/3 - 100\/3*v + 2\/3*v**p.\nAnswer: 2*(v - 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000110101101 - 11?\nAnswer: 1000000110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -38334?\nAnswer: 38331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000600601 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 0. Let h = x - -23. Calculate the lowest common multiple of 28 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 43. Let r = 3224434\/48415 - -1\/9683. Let h = 67 - r. Which is the third smallest value? (a) 2 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 52 - 12. Suppose -2*g = -23 + q. What is the greatest common factor of g and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {q: 2, f: 2, h: 4, d: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*m**3 - 1142 wrt m?\nAnswer: 570*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4390640*d**4 - 299024*d**2 - 3*d wrt d?\nAnswer: -105375360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**3 + 52. Let q(y) = -12*y. Give q(z(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v + 7. Let g(a) = a + 3. Suppose 6 = -5*f - 9. Let t be g(f). What is the least common multiple of o(t) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*d - 5*u + 7, -3*u = -d - 15. Let o = d + 15. Solve -5*j = 0, 5*r + 5 = o*j + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/25 - (-18)\/20. Let j = -19.4 - -20.4. What is the smallest value in -0.3, 3, j, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 1. Let t(i) = 2*i**2 - 8*i - 4. Suppose 36*l - 112*l + 64 + 12 = 0. Let w be (-3)\/((-6)\/(-16)*2). What is l*t(n) + w*z(n)?\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 208.93\nAnswer: 626.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 61*z**2 + 271*z - 379. Let l(o) = 5*o**3 - 245*o**2 + 1085*o - 1515. Let a(c) = 4*l(c) - 15*m(c). Find i such that a(i) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*s**3 - 2*a*s**2 + 7*a*s + 32*a + 4*s**3 wrt s?\nAnswer: 18*a*s - 4*a + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68)\/sqrt(4)*-1 - sqrt(17)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 53414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-18))\/(-1*9\/(-81))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175266560 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21229 is divided by 7074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 9*g**2 - g**2 + (4 - 5 - 1)*(-1 + 1 + g)*(39 - 25 - 46)*(g - g - 2*g).\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1284 and 48.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 717375425 a multiple of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q - 4 = 0, -2*m - 3*q + 1 = 0. Put 6, m, 3 in increasing order.\nAnswer: m, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/8)\/p*((((p*p\/p**0*p)\/p)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2905584741 to the nearest integer?\nAnswer: 53903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -98*c - 5. Is n(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1902 (base 12) to base 3\nAnswer: 11011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6949990 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56687404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74512.\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b - 6. Let g be j(-4). Let u = 6 + -3. Suppose d = -u*h + 2*h - 4, 0 = 2*h + d + 7. Put -1, h, g in increasing order.\nAnswer: h, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 223612477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (1 + 1)\/(-1). Let n(m) = m**2 - 6*m - 7. Let f be n(r). Let t be -2 - f - (-8 - 2). What is the highest common divisor of 56 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1938 + 3*a**3 - 2*a**3 - 35*a**3 - 1940 - 14*a**2 wrt a?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.049 and -19.\nAnswer: -19.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 9*n**2 - 7*n - 2. Let o be m(8). Let w(s) = 2*s**2 - 8*s - 5. Calculate w(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4 - -2) + 2. Let o be (6 - 4)\/(4\/(-2)). Sort -2, g, o in increasing order.\nAnswer: -2, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/336149 (b) 2\/15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 43*g + 14 = 0. Let l(p) = p**3 - p**2 - p + 2. Calculate l(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)\/(((-48)\/(-6))\/(-8)). Let l = 13 - 12. Suppose -2*v - 12 = 2*v. Put y, l, v in decreasing order.\nAnswer: l, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2941*h + 2941*h - 129*h**4 + 51*h**4 - 82*h**4 + 49*h**4 + (6*h - 2*h - 3*h)*(-3 - h**3 + 3) - 3*h**4 + h**4 + 0*h**4.\nAnswer: -114*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 18554 = 2*l - 2*g, 5*g - 27799 = -3*l. Suppose -5*d + 5*v + 11580 = 0, 2*v + l = 4*d + v. Is d\/7 + 4\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -25. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 - 112. Let u be (-4)\/18 - 42\/54. Let j be (-17)\/u - (2 + -1). Calculate the greatest common divisor of j and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/420 and -4 - (-27)\/(-18)*4071\/(-1350).\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -2445860.\nAnswer: 111\/2445860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**8\/448 - d**6\/720 + d**5\/120 + 23*d**4\/12 - 23*d. Let o(z) be the third derivative of i(z). What is o(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -4, -5, 4 in descending order.\nAnswer: 4, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -131.7. Let y = h - -61. Which is the smallest value? (a) -1\/2 (b) 5 (c) y (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 68 = -3*t, -b - 15*t + 17 = -11*t. Let i(z) = -6*z + 21. Give i(b).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -321 + 16053\/50. Let o = 69.9 + -27.9. Let p = o + -41. Is p equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 9*v**3 + 3*v**3)*(-3 - 5 + 4)*(3 + 0 - 1) + (-3 + 0 + 1)*(-14*v**3 - 3*v**3 + 22*v**3).\nAnswer: -74*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 - d**3\/2 - d**2. Let u(y) = -2*y**2 - 32*y - 3. Let b be u(-16). Does 2 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2156 - 912 = -140*j - 268 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11039.\nAnswer: 7, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7960)\/(-398)*3\/12*7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476 divided by 6?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {e: 4, u: 1, w: 1, k: 7}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/5 - 4\/(-10). What is the derivative of 2*c**4 + x - 5 + 3 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + (3 - 160\/25). Let z(c) = c**3 + 4*c**2 - 6*c. Let v be z(-5). Sort -2, u, v in decreasing order.\nAnswer: v, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:01 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1197 - 1181. Let k = 13 - 11. Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*d + 13, -4*d - 4*l = 14 + 6. Which is the closest to 1? (a) 21 (b) d (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49367 is divided by 897?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-1 - 2)) + -3. Let n be (-13)\/h - 3\/(-6). Suppose -n = -2*c - 3. Calculate the greatest common divisor of c and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 1381289.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 17*u**3\/6 + 17*u. Let k(l) be the second derivative of 0*l**3 + 0 + 1\/6*l**4 + 15*l + 0*l**2. Determine k(v(w)).\nAnswer: 578*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75804*i**3 + 12507664*i**2 - 24712764*i + 1304 = 0. What is i?\nAnswer: 1\/18951, 2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/(-105)*45\/7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwcwcw. What is prob of sequence wwcw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199.34 + -200. Let t = -101\/3 - -34. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 6*g - 21\/4*g**3 - 3\/4*g**5 - 3 + 15\/4*g**4 - 3\/4*g**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58920198 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5554 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 102002220?\nAnswer: -102011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864044861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -11. What is the second derivative of 6*g - 5 + 10 - m - 11*g**2 wrt g?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/5)\/(-2)*5. Let t(s) = 2*s + 12. Let i be t(w). Let u(j) = -2*j**2. Let h(b) = b**2. Let z(x) = i*h(x) - 3*u(x). Let y(o) = -3*o. Determine z(y(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uug when three letters picked without replacement from wgguwugw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 - h**2 - 2*h - 1. Let i be q(-1). Let y(u) = -6*u**3 - u**2 + 8*u + 8. Let t be y(-1). Calculate the highest common divisor of t and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 17. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 5*m - 7)*(-1 - 2 + 5)*(14643*m**2 - 1 - m**3 + 82*m + 0*m**3 - 14647*m**2) in the form q*m + j*m**4 + p*m**2 + o + c*m**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 348742873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -344 + 348.09. Let l = 0.09 - t. Let w = 13 - 16. Which is the third biggest value? (a) -5 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 12. Let a be z(-12). Suppose 4*s = 4*q - 128, -5*q + a*s = -s - 164. Suppose -y = -27 + 5. Calculate the greatest common factor of q and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7493117.\nAnswer: 7493117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -468 (b) -2 (c) -3\/2 (d) -0.1 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -83*w**2 + 296*w - 597. Let d(u) = 20*u**2 - 74*u + 149. Let a(q) = -25*d(q) - 6*t(q). What is the first derivative of a(z) wrt z?\nAnswer: -4*z + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.867 (b) -4 (c) -0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*a = 200, -23*o + 321*a - 313*a = -20*o - 125 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -3 + (sqrt(147) - (sqrt(147) + -1) - sqrt(147)) + -3 - 6*-6*(-5 + sqrt(147) + 1 + sqrt(147))))**2.\nAnswer: -584472*sqrt(3) + 3050544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35036, 851, 7 in descending order.\nAnswer: 35036, 851, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2338 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2279*k**3 + 5 - 16 + 2310*k**3.\nAnswer: 31*k**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 - 9*c + 5. What is the remainder when w(-4) is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 10, -7, 0.07 in descending order.\nAnswer: 10, 0.07, -1\/14, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 9. Let n be (-4 + r\/4)*(-8)\/5. Suppose 0 = n*q + 5*j - 529 + 13, q = 3*j + 112. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -18*v**3 + 1. Let s(q) = 19*q**3 - 1. Calculate -4*s(g) - 6*y(g).\nAnswer: 32*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.7 (b) 6 (c) 14 (d) 0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n + 9. Let z(u) = -3*u + 4. Determine -3*h(p) + 7*z(p).\nAnswer: 9*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 742640*k**4 - 1046800 wrt k?\nAnswer: 2970560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 11*f - 8 = -8*f - 4*m, 3*f - m - 14 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -2\/27 (b) 7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:06 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -1, 13, 3, -5 in decreasing order.\nAnswer: 50, 13, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13*b = -10*b + 579, 0 = 3*l - 3*b - 345. Calculate the least common multiple of 78 and l.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 844.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:17 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03923 times -1128?\nAnswer: -44.25144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 1. Suppose -9*y = -10*y + 246. Let m(z) = z - 246 + y. Determine q(m(a)).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s. Let x(n) = -3*n + 44. Let c(j) = 5*j - 84. Let g(v) = 4*c(v) + 7*x(v). Calculate q(g(h)).\nAnswer: 7*h + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2069727 is divided by 157.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4131 and 44982.\nAnswer: 404838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t + 54 = 5*v, -60 = -5*v + 5*t. Let d(u) = u**2 - u + 6. What is the least common multiple of v and d(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4021, -3811, -3601, -3391?\nAnswer: -3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 0*k + 19 = -i, 5*i = -k - 36113 + 36082 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 4*l + 7. Let n(f) = -f**2 + 5*f - 8. Let y = 791 + -785. What is y*i(s) + 5*n(s)?\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43989, -175964, -395915, -703830, -1099697, -1583504, -2155239?\nAnswer: -2814890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -23*h**3\/5 - 1520272*h**2 - 628050472219*h\/5 + 54613142018\/5 = 0.\nAnswer: -165247, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370357 is divided by 319?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 - 5 = -y, y = -4*q - 2. Let n(m) = 4*m**3 - 2*m**2 - 2*m - 1. Calculate n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/280 + b**6\/12 - 2*b**5\/5 + 65*b**3\/6 - 104*b**2. Let l(g) be the first derivative of i(g). What is k in l(k) = 0?\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 9*n + 24. Let r be v(7). Suppose 4*k - r = 3*s, 2*k - 14 = 3*s - 6*s. Solve 2*u = u - s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 12, u: 1}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238 - 2980*c + 19*c**3 + 238 + 24*c**2 - 18*c**2 + 29*c**2 wrt c.\nAnswer: 114*c + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281 * 122.\nAnswer: -34282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -39*o**2 + 1. Let m(h) be the third derivative of -h**4\/12 - 44*h**2. Give m(j(y)).\nAnswer: 78*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*w + 4*z + 56, -2*w + 12 = -4*z. Factor 24\/13*o**w - 96\/13*o + 128\/13 - 2\/13*o**3.\nAnswer: -2*(o - 4)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 12*z**2 - 15. Determine r(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817 = -5*x - 172. Let o be 18\/27*x\/(-2). Let b = 79 + o. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = 6*r - r, -5*r - 2 = 4*k. Suppose -3*f + k*o = -f + 2, -3*o = -5*f - 1. Solve -v + 2 = f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -237635?\nAnswer: -237634.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:16 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/26)*k*k**30\/k assuming k is positive.\nAnswer: k**(781\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 8. Suppose 3*c = 6*c + 5*r + o, 2*c + 4 = -3*r. Calculate the smallest common multiple of (c - -2) + 3 + 1 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 684*r - 685.\nAnswer: (r - 685)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49615 = 830*t - 67415. What is the remainder when 9587 is divided by t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*r + 123*r - 477 + 974 - 497.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (47\/7 - (-14)\/49) + -2. Suppose -2*y - 15 = -5*y. Solve -q*f = 5*k + 10, 2*f + y*k + 1 = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25090 is divided by 8354.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*a**2 - 3\/2 + 5\/4*a.\nAnswer: (a - 1)*(a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 108*g**2 + 61*g - 61*g.\nAnswer: -108*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/(h*h**(20\/3))))*h)**(11\/7) assuming h is positive.\nAnswer: h**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8191*i - 6142*i + 2886*i.\nAnswer: -11447*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**3*x**3 + o**3 + 495*o**2*x**4 + 2*o**2 + 184 wrt x.\nAnswer: -18*o**3*x**2 + 1980*o**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 91. Let n be m(0). Let x be 3\/(-7) - 221\/n. Solve -o + 1 = -x*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 787764?\nAnswer: 3938820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -213478.314 to the nearest 1000.\nAnswer: -213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (845 + 313 + 285 + 398)*(4*v**3 + 0*v**3 - 3*v**3).\nAnswer: 1841*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.991 - 7.1. Round q to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/5 + 26\/10)\/2. Let u be (-27260)\/(-141)*(c\/1 - -1049). Round u to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = -s, -5*r - 3*s - 22 + 23 = 0. Put -18, 6, -5, 3, r in ascending order.\nAnswer: -18, -5, r, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2286 and 101\/2286.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*m - 2*m**3 - 99*m + 205*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311918 + 623141 - 313634)*(2*d**2 - d**2 + d**2).\nAnswer: -4822*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/40 + -2*1*-1. Let h = -5 - -4.7. Which is the closest to i? (a) 2\/19 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(15\/10)*1\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*s + 163 = s, -4*i + 2*s - 158 = 0. Let t = 92 - 16. Let h = i + t. Calculate the remainder when 115 is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 - 9\/(11385\/(-12655)). What is the second smallest value in -1\/5, -0.5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:48 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -1\/6*x**3 - 1\/42*x**7 + 0*x**4 + 0*x**2 + 0 + 3*x + 1\/10*x**5 + 0*x**6. Solve m(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6) + 3 - -11*(-81)\/297.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*q**3 + 3429*q**3 - 818*q**3 - 975*q**3.\nAnswer: 1093*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**6\/90 + j**5\/5 - 4*j**4\/3 + 32*j**3\/9 - 6*j. Suppose g(u) = 0. Calculate u.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 3*h**2 - 4*h + 6. Let j be q(2). Solve 3*u - 4*u = 4*z - 11, 2*u - 4*z = -j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-421410)\/(-1815) + -232)*(-110)\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 36 + 8*x**2 - 6 + 14*x + 0*x**2 - 7*x**2. Let n be j(-8). Which is smaller: -19 or n?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386073 is divided by 528.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 486 divided by 243\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/1114381 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 2*m**3)*(4 + 2*m**2 - 4 + 0*m**2 - 4*m**2 + 3*m**2 + (-2*m + 1 - 1)*(-1 - 2*m + 1)).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(7)*2) - (sqrt(44) - (sqrt(44) - (sqrt(176) + (-1*sqrt(176) - sqrt(176) - sqrt(176)) + sqrt(44)))))\/((3*sqrt(1600) - sqrt(16))*-5).\nAnswer: -7*sqrt(11)\/580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -27a?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10384 divided by -3.\nAnswer: 10384\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, 92, 494, 1054, 1772, 2648?\nAnswer: 3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596 is divided by 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 67*n**2 + 1 + 47*n**2 - 8*n**2.\nAnswer: 114*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 44 = -9*w. Solve -3*f = -5*f + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 4*f**3 - 3*f**3)*(2 + f + 0 + 2).\nAnswer: 3*f**4 + 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123311 - -122?\nAnswer: 130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**3 - 15900*u**2 + 518905*u + 1101450 = 0?\nAnswer: -2, 35, 3147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -0.2954306?\nAnswer: 0.4954306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0 - 2\/35*r**7 + 0*r**6 + 7\/3*r**3 + 3*r**2 + 0*r**4 - 1\/60*r**5 + 15*r. What is the third derivative of k(b) wrt b?\nAnswer: -288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 40\/901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 112120 (base 3) to base 16\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91, -96, -89, -64, -15, 64, 179, 336?\n\"Answer: d**3 - 12*d - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*j = -7, 9 - 29 = l - 5*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2618570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 136 = -n, -656 = -5*d - n. Suppose -4*o + 4*i + d = 3*i, 3*o + 5*i - 99 = 0. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.62495 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245740, -245747, -245756, -245767?\nAnswer: -245780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6154\/(-1064) - 2\/(-19). Let v = q - -52\/7. What is the nearest to 1 in 1, v, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 - -168. Let w be (45\/(-20))\/(v\/144). Calculate the highest common divisor of w and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose -o*z = 2 - 20. Suppose p - 21 = z. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0*w + 0 - 1\/60*w**5 - 1\/6*w**3 - 7\/24*w**4 - 21*w**2. Let b be n(-6). Solve 3*k = 2*g + 1 - 24, -b*g = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/4 - 2660555*s**2\/4 - 442406563612*s + 3981712948929 = 0.\nAnswer: -1330282, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19679 = 22*b - 21923. What is the smallest value in 1\/6, 0.1, b, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 - 660 - (-26 + 1) - (-4 - -28)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1370*f - 65104 = 864*f - 1069 - 12653 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -562 (base 7) to base 8.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/24 and 25\/412.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3010 by 1505.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1291610 and 84?\nAnswer: 54247620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000570114301 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 71.1. Let z = d - -11.5. Round z to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -383, -810, -1253, -1718, -2211, -2738?\n\"Answer: -k**3 - 2*k**2 - 414*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90756 and -0.151.\nAnswer: 13704.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i + 1. Let l(f) = f**2 + 5*f - 3. Let p be l(-4). Let v be o(p). Let x(s) = -s**2 - 10*s + 10. Is 14 a factor of x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxssscxcdxsxxm. What is prob of picking 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 + 3*s - 10. Let j be u(-5). Let x be j\/(-1 + (1 + -4)*-1). Suppose 3*b - 9 = -x*b. Solve 0 = t + b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806031 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 - 5. Let n be 1*2\/(2*3\/(-9)). Suppose 4*o + 6 = -14. Let p(a) = -4*a**2 + 3. Determine n*z(m) + o*p(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(5) - (sqrt(80))**2) + sqrt(5)) + -5 + sqrt(25)\/sqrt(5) + 3 + (-1 + sqrt(5) - sqrt(5)) + 5.\nAnswer: -3*sqrt(5) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152635.45 rounded to the nearest one thousand?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10521 greater than 834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96791.71um to centimeters.\nAnswer: 9.679171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23332 - -5?\nAnswer: 23337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*w - 132 = 0, -428 = 4*k - 8*k + 4*w. What is the greatest common factor of k and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 + 2.6. Let u = 1.773 + 0.227. Which is the closest to u? (a) s (b) -2\/25 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15465\/(-72)*3\/10. Let m = 660807\/10256 + w. Let x = -31369\/6410 + m. Find the common denominator of -37\/6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34818643 rounded to two decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8370)\/(-1053) - (-4)\/78?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u\/(u*u**(-11))*u)\/u*u))\/u*u*u)**38 assuming u is positive.\nAnswer: u**(-418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111000 (base 2) in base 11?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10101 - 10733. Is m at least as big as -630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11906 divided by 469?\nAnswer: -11906\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Let h be (-90)\/(-40) + 2\/(-8). What is the third derivative of 4*q**h + x*q**2 + 49*q**5 - 4*q**2 - 51*q**5 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3 + 11. Suppose -13 - 37 = -2*a + s*l, -149 = -5*a - 3*l. Suppose 5*p = -k + a, -2*p = -1 - 1. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 731315 and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4870, -4974, -5154, -5416, -5766, -6210, -6754, -7404?\nAnswer: -8166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 11*j**2 + 9*j + 2. Suppose 2*q - 3 = -v, -q + 2 = v - 0*q. Let l be (-35)\/4 + v\/(-4). Is p(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*c**3 - 114*c**3 - c**3 + 116*c**3.\nAnswer: 132*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (-20)\/(-4) + -1 + 19. Let d(j) = j**3 - 8*j**2 - 23*j + 17. Is d(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025414 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16758312 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4 + 2, -14*z = 4*n - 808. Let o(i) = 57*i - 1. Let x be o(1). Calculate the highest common divisor of z and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 - 2*j - 2. Let r(y) be the first derivative of 5*y**3\/3 + 3*y**2\/2 + 3*y + 54. Give 6*k(i) + 4*r(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136207064 divided by -460159.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2, 4 in increasing order.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -52962544?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 9*g**4 + 74*g**2 wrt g.\nAnswer: -60*g**2 - 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177561689 greater than 177561689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 3*k - 42. Suppose -11*v + 388 = -k. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 - 242. Let v(p) = -3*p**2 - 16. Let h(c) = 4*c**2 - c + 17. Determine d*v(g) + 2*h(g).\nAnswer: -g**2 - 2*g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22123639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -168*t + 39. Let d(l) = 503*l - 116. Let p(v) = -11*c(v) - 4*d(v). Let a be p(-15). Suppose -2*m - a = -7*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*i - 158, -5*h + 5*i + 804 = 2*i. Suppose 0 = -2*w, -l + 4*w + 132 = l. Let v = h - l. Is v a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -767, -845, -925, -1007, -1091, -1177, -1265?\n\"Answer: -c**2 - 75*c - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 812.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/16)\/7 + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53791.\nAnswer: 53791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7243 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7143*m**3*x**2 - 14501*m**3*x - 3*m**2*x**2 + m**2*x - 17*m**2 + 17*m*x - 41*x + 3 wrt m.\nAnswer: -42858*x**2 - 87006*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3290 - 70 = -230*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1407939 to the nearest one thousand.\nAnswer: 1408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-27) - 15098\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-28) + (-16)\/56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 84 = 18*g. Let t(m) = -m**3 - 6*m**2 + 5*m - 2. Let k be t(-7). Suppose g - k = -z. Put -1, -4, z in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60121*n**2 - 5 + 60759*n**2 + 5.\nAnswer: 638*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8754*s + 20 = 8758*s + 2*y, -y = 5*s - 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 3\/5 (b) -0.15 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14342735.\nAnswer: 5, 11, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 - (-7 - -16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208851673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3245603, 3245582, 3245563, 3245546, 3245531, 3245518, 3245507?\n\"Answer: c**2 - 24*c + 3245626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 52 = -p - 3*p, 0 = -2*z - 3*p - 26. Let q = -16 - z. What is the units digit of (q\/(-6))\/((-5)\/(-520))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 217548*d - 108757*d - 108761*d - 3.\nAnswer: 30*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-54)*1*15. Let p be 264\/(-1716) + 122\/117. Let g*h - 4\/9 + 2\/9*h**3 - p*h**2 = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -7553.\nAnswer: -74\/7553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278 - 117. Let q = -317 + i. Let g = 156.0000079 + q. Round g to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182870*l**3 - 13*l**2 + 2444*l.\nAnswer: -1097220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, m: 9}. Give prob of sequence dmm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/9 - 6*j + 16 = 0?\nAnswer: 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -26, -70, -132, -212, -310, -426?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 3. Let f = 897 + -892. Let c(b) be the third derivative of -b**4\/4 + 2*b**3\/3 + b**2. Give f*c(z) - 7*r(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**3\/3 + j**2 + 5*j + 1. Suppose 8 = 29*o - 31*o. Let m(y) = -y**2 - 2*y - 6. Calculate o*s(k) - 3*m(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d17596 + -2?\nAnswer: 6d17594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1665 - 412 + 6*n**2 - 421 - 417 - 415.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f + 4. Let n be (-2)\/6 + (-1)\/(-3). Suppose n = 4*h - 3*h - 10. Let q(r) = 5*r + 1. Give h*q(o) - 3*z(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3664\/21 - 547\/3. Let a = 59\/7 + s. What is the fourth smallest value in 0.5, -0.2, a, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, -551557 = -3*a - 4*w - 0*w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -799377, -1598743, -2398101, -3197451, -3996793, -4796127?\n\"Answer: 4*y**2 - 799378*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 60 = 11*s. Solve -5 = r - i, s*r - i = -2 - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 3*x - x)*(6*x - 3*x - 2*x) - 4*x**2 + 2*x**2 + x**2 as z + j*x**2 + i*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 5)*(3 + 2*z - 3 + 0*z + 4*z - 6*z - z - 4*z + 4*z + (2 + z - 2)*(-1 + 0 + 3) + 7*z - 5*z + 6*z).\nAnswer: 153*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkbkbkbkkkkkkbkbk. What is prob of sequence bkb?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**8\/1008 + 4*m**7\/315 + m**6\/60 - 2*m**5\/45 - 7*m**4\/72 - 9*m**2. Solve k(s) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 687475 = 687542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 5)*40\/(-50). Let g = 456 + -461. Put 5, 4, m, g in increasing order.\nAnswer: g, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-12))\/(4\/6). Suppose -c - 1 = 3*t + v*t, 0 = 4*t. Let g be 2 + -1 + 1\/c. Solve -4*p + g*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z - 852. Let b be l(-50). Put b, 34, -18 in increasing order.\nAnswer: -18, b, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 20. Let p be m(7). Let a be 3*(p\/(-12) + 0). Solve -a*r + 5*r + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/7 - 6050*f**4\/7 - 36236*f**3\/7 - 24104*f**2\/7 + 144976*f\/7 + 193216\/7 = 0 for f.\nAnswer: -3019, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785114 is divided by 402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f + 4. Let o be w(0). Let j(z) = -z**2 + 4*z - 1. Let i be j(o). Let d be (-158)\/(-10) - i\/5. Calculate the highest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 20475.306 months?\nAnswer: 17.062755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/268 - -2477\/536. Let z = -1\/103 - 6281\/206. Find the common denominator of v and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 1919351*a + 80614506.\nAnswer: -(a - 42)*(a + 1919393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + 0 + 1 + 1 - 6 + 3 + 5 + (-3 + 0 + 1)*(0 + 2 - 3) + 2 + 3 - 3 - 3 + 1 + 1 - 3 + 16 + 13)*(-3*n + 3*n + n**3).\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 470 = -2*q, v + 0*v = 5*q + 117. Suppose 2*u - v = -2*y, 5*u = -4*y + y + 134. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38583\/(-675) - 24) + 81.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6905.263126 plus -17?\nAnswer: -6922.263126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2209 = 428*r + 1353 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(308\/(-40) + 7) - 2787. Do j and -2781 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*y = -18*y - 4142. Let d = 22 - 20. Suppose 69 = z + o, 2*z - 136 = d*o - 5*o. Calculate the remainder when z is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*j - 17755280 = -2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1029 divided by 256.\nAnswer: 1029\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v + 5*v + 5*v)*(-3 + 5 - 1)*(0 + 6 - 1)*(-3 - 54 - 85) in the form i + x*v and give x.\nAnswer: -12070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Suppose k = -3*l + 16, 3*d - 3*l = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = 2*q, 9*w - 2*q = 4*w + 19. Let s(t) = -3*t**2 - 6*t - 4. Let l be s(w). Let j be l\/2 + -1*(-4)\/(-8). Is j at least -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (1 + 2 + 0). Let n be p + 0 + (-33)\/27. What is the nearest to 5 in n, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - 47 - ((-282)\/(-16))\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16980967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 4. Let o be w(5). Let c be 2\/(-2 + 1 - 1). Is (27 - o)\/((-2)\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/60 + c**4\/8 + c**3 - 3*c**2. Let g be f(-6). Suppose -g - 18 = -3*o - 3*p, 36 = 2*o + 4*p. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5795, -23925, -54149, -96467, -150879, -217385?\nAnswer: -295985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13)\/a)\/a*a**4*(a*a**(-7))\/((a*a\/(a*a\/a**(-1\/2))*a)\/a)*(a**(-2\/3))**8*(a*a**(2\/13)*a*a*a)\/a**6 assuming a is positive.\nAnswer: a**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((-50)\/15 + -1). Which is the smallest value? (a) -2 (b) v (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -367*h**2 + 4561*h + 88*h**2 - 22*h**2 - 4561*h. Let x(o) = -o. Calculate x(p(n)).\nAnswer: 301*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 12794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*112\/(-1540)*(-75)\/(-240)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133*120\/(-570)*(-1)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44626.97615 + 44628. Let y = 1.6 - 2.62. Let w = y + i. Round w to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 + 86*g**3 - 786*g**2 - 2990*g - 2116 = 0. Calculate g.\nAnswer: -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 118 - 79*q + 39*q + 35*q + 308 to the form t*q + n and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270829 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 18 - (-550 - -645)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - (-3 + 3 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8546*m + 8479*m - 1521 = 16908*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + -1 + 4.\nAnswer: 3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**9\/8640 + x**8\/10080 - 7*x**5\/60 + 14*x**2. Let t(p) be the third derivative of n(p). Factor t(j).\nAnswer: j**2*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - o**2. Suppose -w + 6 = -5*a - 17, -2*w - 24 = 4*a. Let t(y) = -24*y**3 + 21*y**2. Determine w*t(l) - 42*p(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 42. Let v = -4 - -7. Put v, w, 1\/8 in decreasing order.\nAnswer: v, 1\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - 170. Let l = -1694\/9 - z. Let n = 653\/4 + -164. What is the nearest to 1 in l, 5\/3, n?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4105*s - 45107. Calculate p(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - w = 2*i - 297, 4*i = 3*w + 309. Calculate the remainder when i is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*t + 4*q, 3*q - 5 = t + 4. Which is the smallest value? (a) t (b) 5 (c) -2149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + x - 50 = 0, 2*i + 262 = 7*i - x. Suppose -10*u = 3*u - i. Suppose 7*w - 585 = -4*d + u*w, -2*d + w = -305. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 0*l**2 + 5*l**2 + 5*l**2 - 4*l**2 - 2*l**2 + (3 + 1 - 1)*(-5*l**2 + 2*l**2 + l**2) - 1 + 1 + 7*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 427790?\nAnswer: 42779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 2 d when four letters picked without replacement from {d: 4, g: 2, z: 2, u: 1, b: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 115 = -3*r, -2*r = -2*z + 25 + 5. Calculate the greatest common divisor of z and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/2 + w**3 - 54*w**2 + 108*w + 432 = 0. Calculate w.\nAnswer: -12, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 24 = i. Let x(k) = 3*k - 3. Let v be x(4). Suppose 2*p = -6, 3*p + 8 + 13 = 4*b. Solve i*h = b*h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302490 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160.3 + -15.7. Let l = -172 - d. Let k = 0 + -2. Which is the closest to k? (a) -2\/5 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72\/11? (a) 1\/9 (b) 0.5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 - -272.8. Which is smaller: j or -1\/54?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**8\/84 + 8*h**7\/105 + 91*h**6\/30 + 22*h**5\/3 - 100*h**4 + 3037*h**2. Find x such that b(x) = 0.\nAnswer: -5, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -21, -31, -43, -57?\n\"Answer: -p**2 - 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15010494*p**2 - 30021028*p**2 + 15010510*p**2.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 3*s + 2016. Let z = s + 1590. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23887726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 - -373. Suppose 15*f - 902 = -m. What is the remainder when f is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2.5. Let s = o + 2. What is the nearest to -2\/5 in 2, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -2) + (140 - 179 - 83)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from qqqqxqxqqqqqq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -14, -38, -82, -152, -254, -394, -578?\n\"Answer: -y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-8 - -9 - -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 5307*q\/2 + 283005.\nAnswer: 3*(q + 114)*(q + 1655)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5497*m + 11031. What is x(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -1. Let r = 8 - a. Suppose k - 4*k - 27 = -r*p, 5*p - 40 = 4*k. Solve 30 = 5*q + p*l, -l = q + l - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/93))**10 assuming d is positive.\nAnswer: d**(910\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 - 9*z**3 - 6*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/15 - y**5\/60 + y**3\/6 + y**2 + 1. Calculate c(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(1*sqrt(8))*-2)\/((sqrt(324)\/(2*sqrt(9)))\/(sqrt(6) + (sqrt(72)*2)\/sqrt(12) - sqrt(6))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w + 63. Give f(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + i + 2. Let r be d(2). Let t(s) = s**2 + 4*s - 8. Let j be t(r). Suppose 3*h + j = 300. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 27*d - 232. Is 2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16025, -16214, -16401, -16586, -16769?\nAnswer: -16950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f - 6. What is the units digit of s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -1. Let v(w) = w**3 + 7*w**2 + 4*w. Calculate v(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -273*t**4\/8 + 733*t**3\/6 + 304*t**2 - 2. Differentiate v(m) with respect to m.\nAnswer: -819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -22*j - 4. Let h be q(0). Let t(r) = 5*r - 4. Let i(k) = 55*k - 45. What is h*i(d) + 45*t(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3932535 by -6135.\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18))**(2\/17) assuming z is positive.\nAnswer: z**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31\/7, -2, -0.1, -1, -0.5, -140?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.4 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**8\/7 - 622*s**7\/105 - 457*s**6\/6 - 1144*s**5\/5 - 120*s**4 - 40*s**2 - 16*s. Determine w so that g(w) = 0.\nAnswer: -12, -5\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-1)\/(-6) - (-603)\/(-594). Let y = -122 + 122.1. What is the nearest to 0 in s, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srzlspzslzsr. Give prob of picking 1 z and 2 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -708 + 708. Let f(x) be the first derivative of g*x**3 + 6 - 3\/4*x**4 + 9\/2*x**2 + 6*x. Factor f(o).\nAnswer: -3*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)\/(l*l**(-2)))**42 assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601 = 4*x - 355. Let t = x + -138. What is the remainder when t is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46499645, -46499649, -46499655, -46499663, -46499673?\n\"Answer: -v**2 - v - 46499643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 35*a**2 - 35*a - 43. Determine t(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 1:01 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 + 8785 = 653*y - 9420 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16268*p. Let c(a) = -12*a**2. Determine c(j(n)).\nAnswer: -3175773888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 832478832 and 832478832 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1113892356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -21*s**2 + 8*s + 6. Let h be u(6). Let f = -2749\/4 - h. Calculate the common denominator of f and -28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.43 - 0.57. Let n be (-2)\/3 + (3 - (-19)\/(-3)). Let r be (-35)\/10 - 6*2\/n. What is the second smallest value in r, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1489*n + 1501*n + 72 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2 + 2)*(-6*g**2 + 8*g**2 - 5*g**2 - 6 + 2*g**3).\nAnswer: -4*g**4 + 6*g**3 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 6461?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15200449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1.3. Let j = 8 + -5. Sort u, -4, j in ascending order.\nAnswer: -4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*w**3 - 431*w + 431*w + (4 - 2*w**2 - 4)*(-w + 1 - 1))*(5*w - 8*w - 10*w + (-2 + 0 + 1)*(-3 - w + 3) + 1 + 4*w + 2 - 2*w).\nAnswer: -470*w**4 + 141*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 2*b - 6*b. Let m be -73*(-3)\/(-15) - (-15)\/25. Is 818\/b + m\/77 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16792 (base 10) to base 9\nAnswer: -25027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 817946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111192.6357 rounded to the nearest one hundred?\nAnswer: -111200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + f - 12 = 0, 6*y + 6021*f - 6019*f + 9 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 1537\/96?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.8 (b) -0.2 (c) -0.6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*p**2 - 1092*p**2 - 200*p**2 - 1341*p**2 + 448*p**2.\nAnswer: -2078*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/40)*p**(1\/9)*(p**(-10))**(-33) assuming p is positive.\nAnswer: p**(119209\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 + 25*l - 8 + 924*l**3 - 4*l**2 - 923*l**3. What is the tens digit of i(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 33424.\nAnswer: 167120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, x: 13, h: 2}. What is prob of picking 2 x, 1 c, and 1 h?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1760)\/28)\/(-11))\/(2\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0 + 0*i**3 - 11\/20*i**5 + 0*i**4 + 17*i**2 + 2*i. Differentiate q(t) with respect to t.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, n: 3}. What is prob of picking 2 c?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 2. Let j(y) = -1. Let m(p) = 6*j(p) + 3*k(p). Let f = -8 + 12. Let t(r) = 2*r - f*r + 3*r + r. Calculate m(t(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -28) + -18 + -28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 - -5. Let o = 2\/551 - 1128\/7163. Put o, 4\/5, t in decreasing order.\nAnswer: 4\/5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10810 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -2*d**4\/3 - 73*d**2. Let l(c) be the third derivative of -c**5\/30 - 4*c**2. Calculate l(i(f)).\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**4 - 8*v**3 - 36*v**2 - 42*v - 16. Let u(w) = -17*w**4 + 32*w**3 + 144*w**2 + 169*w + 65. Let b(o) = 9*f(o) + 2*u(o). Factor b(m).\nAnswer: 2*(m - 7)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64820443 is divided by 3086687.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -49*(-130)\/(-78)*1*-3?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**7\/420 + q**5\/40 - q**3\/3 + 4. Let l(o) be the third derivative of b(o). Find the second derivative of l(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46460 divided by -1010?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 343\/9. Let b(y) be the first derivative of -1\/15*y**5 + 0*y + 2 - 1\/6*y**4 + o*y**3 + 1\/3*y**2. Determine r, given that b(r) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.165?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*((sqrt(57) + sqrt(228)\/sqrt(4) + sqrt(57))\/sqrt(3) - ((3*sqrt(209))\/sqrt(11))**2) + 2) + -1.\nAnswer: -512 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from ccquucuquccc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*v - 64 = 0, p - 112 = -p + 4*v. Let w be 3*-3 - (7 + (-20 - -9)). What is the tens digit of w*(p\/(-20) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 2*m + 2. Let g be t(-2). Let d(i) = i**2 + 2*i + 2. What is the units digit of d(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(52)\/(sqrt(28)\/sqrt(7)))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627916 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2294070 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: Expand (4*i - 3*i - 7*i)*(7 + 8 - 6).\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c**2 - 26*c**2 - 7*c**2 - 12*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:38 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 851.3997189 + 0.1732811. Let w = t - 852. Round w to 2 dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 38 = -4*r, 2*v - 5*v = -5*r - 42. Let p = -6 + 4. Let o be (p\/(-16))\/(r\/(-36)). Which is the nearest to 2\/3? (a) o (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64609186?\nAnswer: 2, 421, 76733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -4*u. Calculate the remainder when 4 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:45 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1*-5*6\/(-45)). Suppose 0 = 2*u - g*f, 5*u = -2*f - 3 + 22. Suppose h = 4*s - 2 + 46, -u*s - 39 = -h. Which is greater: 23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 28. Let r be (-1)\/u + 50\/(-4). What is the units digit of (r + 0 - -4)*2\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 3*u**2)*(2*u**2 - 3*u**2 + 3*u**2) + 248*u**4 - 858*u**4 + 204*u**4.\nAnswer: -408*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 372454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -5. Let z be (g - -1)\/((-2)\/(-4)). Is 17 a factor of ((-3)\/2)\/(z\/(-136))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3901? (a) 0.1 (b) -5 (c) -2 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 767 and 3.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167 - -163. Put 2, -6, -1, d in ascending order.\nAnswer: -6, d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -6 - (0 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.353839 to 1 dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i + 4 = 0. Suppose 2*q - 5*x + 2 = 0, -i*x = 4*q + 15 - 67. Let z(o) = o**2 - o + 6. What is the remainder when z(5) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9138256 divided by -2284564\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*t**2 + t**2 + 2*t**2 + t**3 - t**2 in the form s*t**3 + i*t + b + j*t**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x + x - 3*x**2 + 4*x**2 + x**2 + (-2 + 2 + 2*x)*(2*x - x + 2*x) + 2*x**2 + 1 - 1)*(x - 1 + 1).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-16)\/i**(-1\/2))\/(i**4\/((i**6*i)\/i)))**(-28) assuming i is positive.\nAnswer: i**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven fifths of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + 101913?\nAnswer: 101913.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -25. Suppose 4*f = 2*f + a. What is the least common multiple of f and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(539)) + -5)**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.67. Let q = 3.97 - j. What is the third biggest value in q, 1\/7, 1\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - 5 - (-1 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q**3 + 1082*q**2 - 62*q - 237. Give x(-57).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/21 - 2326*i**4\/7 - 13940*i**3\/7 - 11944*i**2\/3 - 18576*i\/7 = 0. Calculate i.\nAnswer: -3483, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfffffyff. What is prob of picking 3 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ohspshshspppho?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(8\/12))\/((-138)\/(-8))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*h**5 - 9*h + 1 wrt h?\nAnswer: -4760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22141322011 + 4?\nAnswer: 22141322020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -154, -234, -318, -406, -498?\n\"Answer: -2*x**2 - 70*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -262600 (b) 2\/11 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.038 - 0.962. Let l = 8 + -5. Which is the third smallest value? (a) -2\/9 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*q + 4*g = 5066, 0*q - 5*g = -q + 3*g - 7*g - 41 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55668114, -222672449, -501013008, -890689791, -1391702798, -2004052029?\n\"Answer: -55668112*p**2 + p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*m + 1036 - 2973 = 3095 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -7*n**4\/12 - n**3\/6 + 506*n. Let u(k) = 6*k**2. Give t(u(s)).\nAnswer: -252*s**4 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2436 rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 15. Let d be v(-9). Let y be (14*2\/d)\/((-7)\/(-42)). Calculate the highest common divisor of 42 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.768 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5, -2*a - 5*g = a - 4. What is the hundreds digit of (4550\/3)\/7 - (-1)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -23856*j - 2480946. Give z(-104).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 34, 54, 76?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 2729154516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5)\/i)\/(i**3\/i))\/(i\/(i**0\/i)*i)**(2\/125) assuming i is positive.\nAnswer: i**(-306\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -28. Suppose c + z = 6*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:07 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*2\/(-1). Suppose 4 = 5*z - 3*z. Factor c - 6*c**3 - 3*c + 0*c - y*c**4 - 6*c**z.\nAnswer: -2*c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oropphpprhprhhoxdppo. Give prob of sequence dprh.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 - 3 = 0. Let u(z) = z**2 + 5*z - 2. Calculate the least common multiple of u(b) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 4*o + 4*o)*(6 - 2 + 15) to the form f*o**2 + a*o + m and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.0866 - 17.0866. What is the second biggest value in m, -0.3, 7\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 83 - 434 - 581)*(4*k - k - k) to the form o + j*k and give j.\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 divided by 119?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyzdvypyyadadvza. What is prob of sequence payd?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-25))\/(6\/(-30)). Suppose -b - 960 = -y*b - 5*l, -b + 477 = 4*l. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.2. Let i = -268 + 96. Let y = 175 + i. What is the nearest to d in y, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 15381732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2904, 2808, 2646, 2418, 2124?\n\"Answer: -33*n**2 + 3*n + 2934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than 0.028367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o - 2. Let c be i(-9). Suppose -5*j - 4*f + c = -f, -94 = -4*j - 5*f. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, 0.56, -1\/9, 0.0388 in increasing order.\nAnswer: -1\/9, 0.0388, 0.19, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305188643, 1, -5.\nAnswer: -5, 1, 305188643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2040727 hours to minutes.\nAnswer: 12.244362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2395739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 65900*f + 658500.\nAnswer: 5*(f - 13170)*(f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/25 + 12354*r\/25 - 12356\/25 = 0.\nAnswer: -6178, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3003*s**2 - 1827. Let k(g) = -2*g. What is k(y(d))?\nAnswer: 12012*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -13, -26, -43, -64?\n\"Answer: -2*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1206*y**2 - 377*y**2 + 87*y**2 - 8*y**2)*(2 + 3 - 7)*(-y + 6 - 3 - 1) to the form w*y + d + k*y**2 + o*y**3 and give k.\nAnswer: 6016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6777085 and -2.\nAnswer: -13554170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 + 2*i**2 + 3*i**3 + i**3)*(-66*i - 1131 + 1131) + 2*i**4 + 0*i**4 - 3*i**4 to the form r*i**4 + c*i + j*i**3 + p*i**2 + y and give j.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975 - 1094 + 1100 = -378*t - 1665 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*sqrt(72)*1 - (sqrt(72)*2 + 0) - (-5*sqrt(72)*-1 + 4)**2).\nAnswer: -7264 - 936*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50569 + -29?\nAnswer: 50540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6095203192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2 = 2*m - 50 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 24*y - 70 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 132 = 4*v, 0*v + 2*v = x - 66. Suppose -3*w + 2*l = -172, -2*w + 0*l + 114 = -l. Let p = v + w. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68533, -68522, -68505, -68482?\n\"Answer: 3*l**2 + 2*l - 68538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 36*k**2 + 3 - 4*k**2.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o**2 + 5*o**2 + 14*o**2 + 5*o**2. Let x(r) = 4*r + 3. Let u(v) = 2 - 3 + v + 2. Let n(q) = 6*u(q) - 2*x(q). What is n(h(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 6.71. Let z = f + -6. Sort -1\/10, -1\/5, z, -2\/17 in descending order.\nAnswer: z, -1\/10, -2\/17, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 52*g**2 - 121*g + 6308. What is k(52)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -1 (c) 85 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 110 - 101. Let c(u) = 3*u**2. Let j(x) = -13*x**2. What is v*c(z) - 2*j(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/(-10) + 1275\/375. Put 8, u, 0 in decreasing order.\nAnswer: 8, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/3 + u. Let m = -29 - -34. Let j(q) = m*q + 0*q - 4*q + 0*q. Determine r(j(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -0.4, 2.4, 0.5.\nAnswer: -3, -0.4, 0.5, 2, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*w - 44 = -12 - 17 - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 4*m - 6. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2262990*p**2 - 3257932?\nAnswer: -4525980*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*k**(-12\/5)*(k*k**(3\/16))\/(k\/(k\/k**23)))**(6\/7) assuming k is positive.\nAnswer: k**(-4131\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.2 - 76.2. Let n = f - -66.000078. What is n rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5 = 3*i, 3*d + 4*i - 3 = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-20)*(-10 - (-2 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9148*n - 1. Let h(k) = 1131*k**2. Determine l(h(o)).\nAnswer: 10346388*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*l - 11340 = -181*l + 58 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 19*m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - 15) + 6 - -65?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(x**4 + 3*x**4 - 3*x**4) - 55*x**4 + x**3 + x**3 + 48*x**4.\nAnswer: -11*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/27)\/(2*-5).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189134, 378364, 567594, 756824, 946054, 1135284?\nAnswer: 1324514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.042 + -0.542. Let v = 52 + -52.4. Which is the second smallest value? (a) 0.4 (b) 5\/3 (c) q (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 106 = 2*o, -6*u - 68 = -8*u - 2*o. Calculate the highest common factor of u and 3154.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1811843738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-84)*-7)\/((-14)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 399, 5, 2, -1, -895, 4.\nAnswer: -895, -1, 1, 2, 4, 5, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-7)\/((-1925)\/(-1)))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1555 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/7))\/y)\/((y*(y**(-3\/4)\/y)\/y)\/y*y)*y**(-1\/5)*y**(2\/25) assuming y is positive.\nAnswer: y**(1341\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2 + 2 - 1. Let b be w(-2). What is the second derivative of -t**2 + 0*t + 3*t**2 - b*t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 2. Let w(x) = 3*x - 5. Let p(r) = 5*m(r) + 2*w(r). Let v(j) = 4*j**2. What is v(p(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1054*z**2. Let l(q) = -42*q**2 + 13*q**2 + 9*q**2 + 22*q**2. Determine a(l(c)).\nAnswer: 4216*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, 9, -1622 in descending order.\nAnswer: 9, 4, -1, -3, -1622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose -2*l + 7 = r*d - 7, 4*l = -3*d + 4. Find the common denominator of -12 + ((-10)\/d)\/5 and -75\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/11)*f\/(f\/f**9))\/(f**(1\/2)*f)**10)**(-2\/41) assuming f is positive.\nAnswer: f**(128\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2. Let o(s) = 1038399*s. Determine o(i(r)).\nAnswer: -3115197*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2272707178?\nAnswer: 2, 7, 107, 1517161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-14))\/(56\/196*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = -4*u. Suppose -49 = -u*o + 46. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(6) - sqrt(6))\/sqrt(3) + sqrt(1152) + 2.\nAnswer: 2 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*d + 4*r - 12, 3*d - 2*r = 33. Let x be 7\/(-21) + 39\/d. Solve -2*v - 2*v = x*n + 16, -2*n = v + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136886992, -136886991, -136886990, -136886989?\nAnswer: -136886988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*z)*(1 + 0 - 3) - 3*z - 3*z + 4*z - z - z + z + (z - 4*z + 5*z)*(3 - 2 - 3) + 48*z - 79*z + 55*z + 19*z - 7*z - 18*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*n + 10 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17088 - 8208. What is z rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 711, 1, -1.6, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29651 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, 1 i, and 1 u when four letters picked without replacement from {l: 1, c: 1, m: 2, i: 1, u: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 186917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 439 - 212. Suppose 0 = 2*d + n + 2*n - p, -554 = -5*d - 3*n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 445*x - 449*x + 35 = 0, 8*x - 89 = 3*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-162)*-6*1\/(-3)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/327 and 67\/90?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 135*y + 3076. What is i(-23)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from ahambhhhhhm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*k - 25, 0 = d + 522814*k - 522818*k + 35 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 4*w**2 - 3*w**2 + (2*w + 3*w - 3*w)*(3*w + 0*w - 4*w))*(-7*w**2 - 12*w**2 + 3*w**2).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 884\/4059 + 2\/451. Let m(i) = 3*i - 1. Suppose x - 6*x + 10 = 0. Let k be m(x). Which is the closest to -0.1? (a) 0.3 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n**(-2\/7))\/n)\/n*n)*n)**(-2\/13))**(-32) assuming n is positive.\nAnswer: n**(1024\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 506, 813, 1140, 1493, 1878, 2301?\nAnswer: 2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/37, 89?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -8 - (12 + -1). Let v(z) = z**2 + 7*z + 1. Let g(f) = -2*f**2 - 15*f - 3. Let q(y) = 6*g(y) + 11*v(y). What are the prime factors of q(s)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2104 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 16. Let p be 21\/2 - 7\/o. Suppose -3*x - p = -5*x. Calculate the highest common factor of 45 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 9*q - 4 = 4*y, 2*y = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(((-6)\/58)\/(-3)). Suppose u = c - 0*c. Suppose c = 3*j + 19. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07189 - 0.17189. Which is the second smallest value? (a) d (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**4 - x**3 - x**2 + x + 2. Let k(b) = -18*b**4 + 63*b**3 - 72*b**2 + 27*b - 30. Let i(z) = 15*d(z) + k(z). Let i(t) = 0. What is t?\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 1. Let t be 70\/9 + 40\/180. Let z(s) be the first derivative of -4*s**3\/3 - 12*s**2 + 4*s - 4. Let i(y) = t*a(y) + z(y). Factor i(r).\nAnswer: 4*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -58*j - 80. What is the remainder when b(-6) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(592\/(-32)) + 15\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 16*d - 54, n - 23*d + 22*d = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + (3 - (1 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 - i + 4. Calculate w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.4 + 15.1. Which is the biggest value? (a) -6 (b) l (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 3. Let h(w) = 166*w - 401*w + 167*w. Give h(k(q)).\nAnswer: 272*q + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(-28) + 4\/14. Let y(j) = j**2 + t*j - 3*j - 2*j**2 + 7*j**3. Is y(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 2121222023331?\nAnswer: 2121222030002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 22*n - 46. Let l be h(24). Solve -k = 2*o + l, 2*o - k + 10 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1403775 and 11985?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = -0*m. Suppose v - m = 10. Suppose 4*f - 4*x - 18 = v, -4*f = -x - 47. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-13)\/((-104)\/440). Which is bigger: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/7)\/(11808\/(-20664))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 0 + 0 + (3*x + 0*x - 2*x)*(-2*x + 1 - 1) - 4*x**2 + x**2 + 2*x**2 + (-3*x**2 + x**2 + x**2)*(-1 - 1 + 3) - 13*x**2 + 5*x**2 - 39*x**2.\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50100 is divided by 1204?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 346691.3 centuries in millennia?\nAnswer: 34669.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 37362*k**3 - 15 - 14409*k**3 + 3 - 3 - k**3 + 3 - 2*k**3 + 0 + 0 + (0 + 4 - 3)*(k**3 + 3*k**3 - 3*k**3) - k**3 + 2 - 2.\nAnswer: -51774*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19050, -1\/3, 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2773086 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20293 is divided by 845.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 7*z + 12. Let c(x) = -3*x**2 + 15*x - 25. Let d(k) = -4*k - 19. Let i be d(-6). Let a(m) = i*b(m) + 2*c(m). Determine a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.355649ns in minutes?\nAnswer: 0.00000000027259415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/10)\/((-12)\/(-10)). Put -171, l, -6\/11 in decreasing order.\nAnswer: l, -6\/11, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -15*s**2 + 51*s + 11. Determine w(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, -4 in descending order.\nAnswer: 5, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1534 + 4540\/3. Find the common denominator of 61\/58 and d.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54.9 - 54.053. Let t = u - -0.153. Which is the closest to 0.1? (a) 0.3 (b) t (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928854 divided by -1854?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 36*a**3 - 7*a**2 + 15*a - 2. Let v = -252 + 254. List the prime factors of q(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 199*b**2 + 2. Let d(l) = 30*l**3 - 1002*l**2 + 11. Let c(u) = -4*d(u) + 22*m(u). Find the third derivative of c(h) wrt h.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 3.5 (c) 2 (d) 9611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56099626*x**2 + 35591167*x.\nAnswer: 112199252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 2*f, 2*n = -5*f + 5 - 11. Let m be 3 + (3 - 4)*n. Let r be -110*((-54)\/12)\/(-3 + m). Calculate the greatest common divisor of r and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 661?\nAnswer: 5\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 0*u + 24 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418297 or 1\/6?\nAnswer: -418297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -159, -157?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 0 + 0 - 5*w + 0*w + 3*w + (w - 3*w + w)*(2 - 5 + 2))*(22*w + w + 5*w) to i + o*w + c*w**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 5178 and 512740\/99 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*y - 5 - 4, 0 = -3*o - 2*y + 10. Suppose -2*r + 26 - o = 0. Calculate the least common multiple of 7 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9))**(-16)\/((v\/(v**(2\/3)\/v))\/v**9) assuming v is positive.\nAnswer: v**(455\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2525, 5051, 7577?\n\"Answer: 2526*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrlllcllrlrlcl. What is prob of picking 1 r and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/u**(1\/12)*u)\/u*u**4*u*u**(-1)*u*u*u*u**(-1\/5)*u assuming u is positive.\nAnswer: u**(583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113220 and 170.\nAnswer: 113220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:47 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**11\/b*b**(2\/3)*(b*b*b**(-2\/5)*b*b*b*b)\/(b*b\/(b**9*b)*b) assuming b is positive.\nAnswer: b**(364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/22 + 12*s**3\/11 + 29*s**2\/11 - 96*s\/11 + 9451. What is j in y(j) = 0?\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n - 2. Let a be j(1). Let c be (2 + 2)\/12*15. Solve a = -4*f - 5*k - 20, 3*k - c = -3*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.30075 - -0.00075. Let v = 118.85 - 113. Let w = v - 6. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 + -2 - (-3 + 5) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704) - (-4 + sqrt(704)))**2 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9994 + -9997. What is the second biggest value in a, 1\/3, -2\/7, 2\/9, -1\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/6 + (-8)\/(-3) + -11?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w - 3*w + 7 - 6*w. Let r(j) = -3*j - 6. Let n be (2\/6)\/(420\/(-216) + 2). What is n*r(a) + 5*v(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 1947*l + 3790809\/2.\nAnswer: (l - 1947)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1789, -3559, -5293, -6985, -8629?\nAnswer: -10219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2739\/16 - -8233\/48. Let r = -14 + 9. What is the third smallest value in x, 2, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 57. Let d be ((-18)\/24)\/(9\/n). Find j, given that 0 - d*j**2 + 1\/2*j = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Suppose -x = o, 3*o = -2*b - 63 + 1093. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-28)*r*r**(-5\/4))\/(r*r**28*r**(-30)\/r))**(-39) assuming r is positive.\nAnswer: r**(3939\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -126*o**2 + 97415*o - 13146. Calculate n(773).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11702845 divided by -13.\nAnswer: 11702845\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.41073054 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000072862 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 21*i**2 - 20*i + 4. Let a be x(22). Calculate the greatest common divisor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -233. Let u be ((-18)\/(-4) + -3)\/((-63)\/o). Which is the third smallest value? (a) -12 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*i + 110*i + 3243. Calculate the greatest common divisor of i and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (63 - 3\/1). Suppose -5*f + 2*f + r = 0. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/314 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 331.\nAnswer: 35\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 2*c - 1008 = 0. Suppose -5*x + 47 = -3. What is the remainder when c is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25906.\nAnswer: 2, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1645)\/(-94)*(-2)\/(-5). Solve 8*l + 5 = r*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*v**4 + 8*v**3 - 6*v**2 - 11.\nAnswer: -120*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - 12?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 49664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmh when three letters picked without replacement from thttmmmmh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8409 - 8365. Solve -5*r + i = 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471187, -942375, -1413529, -1884631, -2355663, -2826607?\nAnswer: -3297445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -1 - (8 + -13). Let r(h) = h**2 - 6*h + 2. Let j be r(x). What is the remainder when (210\/24 - j\/12)*7 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:34 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = 0. Suppose 10*f - 3*f - 49 = 0. Suppose -f*n + 4*n = -6. Solve z*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392723.\nAnswer: 392723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0306 - 2.0306. Let y = -516 + 513. What is the nearest to 1 in y, k, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m + 42. Suppose 0*d - 3*d - 105 = 0. Let k be (-2)\/(-7) - (-10)\/d. Is c(k) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01652 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 91*y + 184. Let z be c(-5). Let m = 522 + z. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-20)\/(-8))*(-16804)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 182119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463136433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*y - 12722 + 4561 = 7215 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*u - 102 + 294 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 291*b - 292*b. Let p(i) = 19*i**2 - 2*i - 9. Let f be p(b). Put -1, -4, f in ascending order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 315 - 312 + 5*w. Let p = -14 - -8. Let z be y(p). Which is the biggest value? (a) -0.2 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4153*d**3 - 1985*d**3 - 2013*d**3.\nAnswer: 155*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Suppose -n - 2 + g = 0. Let z be n + 8\/4*2. Put 5, z, -4 in increasing order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(275) + (sqrt(275)*2 + sqrt(275))*-2 + -3))**2.\nAnswer: 5400*sqrt(11) + 247824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1, -0.2, 260?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 9*a + 8. Suppose 353*z - 14 = 350*z + 16. Calculate r(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {r: 4, m: 2, b: 1, n: 2, z: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 234112 divided by 3\nAnswer: 234112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (9\/(-2))\/9. Let n(x) be the first derivative of 1 + 1\/4*x**3 + 1\/4*x + w*x**2. Factor n(q).\nAnswer: (q + 1)*(3*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 105 = 2*r. Suppose 6 = 5*b + r. Let t(p) = -p**3 - 7*p**2 - p - 6. What is the units digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:23 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 20292*g**2 + 456*g - 456. Let f(q) = 223*q**2 + 5*q - 5. Calculate 456*f(i) - 5*z(i).\nAnswer: 228*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -279 divided by 48165\nAnswer: -93\/16055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 - 5*l. Let y be t(4). Let c be 2 + y - (-3 - 0). Let v = -0.085 - 0.015. What is the nearest to v in -4, 0.05, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1720.640083 + -0.2\nAnswer: 1720.440083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -455, -2, 5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*z - z**2 + 2057*z - 746*z.\nAnswer: -z**2 + 363*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1880 = 356*b - 544*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from pqybyji?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000191679811 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v**3 - 5*v**2 - 2*v + 7. Let c(f) = 6*f**3 - 2*f**2 - f + 3. Give -7*c(h) + 3*r(h).\nAnswer: -3*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -32*f + 14. Let v be z(11). What is the tens digit of ((-1 + 18)*1)\/((-26)\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**6)\/o**(-2\/5)*(o*o**(-2)\/o*o*o)**(3\/7) assuming o is positive.\nAnswer: o**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113093562 to the nearest integer?\nAnswer: 10635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-35)\/14)\/(-5). Let i(l) = 1 - 14*l - 1064*l**2 - 2 + 1066*l**v. Determine i(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 3 = 3*d. Let f = -2.2 + 1.5. Let t = -0.7 - f. Which is the nearest to 2? (a) 3 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 481.165 + -1.165. Let h = -481 + x. Sort 35, h, -0.1.\nAnswer: h, -0.1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -62815.2 and -260430.6.\nAnswer: -323245.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37700655907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256 - 250. Let t be (56\/(-21))\/(l\/(-18)). Solve t = 18*u - 20*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 - 117. Solve 3*o = -3*p + 15, -5*p - 2*o + 25 = -h*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1798*s**3 - 48*s**2 + 17. Let i(z) = 359*z**3 - 9*z**2 + 3. Calculate 11*i(k) - 2*v(k).\nAnswer: 353*k**3 - 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/9)\/((-6)\/(-9)). Let y(k) = 7*k + 6. Let g(f) = -2*f. Let x(z) = -2*g(z) - y(z). Let j(l) = 4*l + 7. Give c*x(q) - 4*j(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**2\/2 - 5*y + 1. Let k(m) = 3*m - 31. Let g be k(-5). Let v = g + 50. Give o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 + 10026\/594 + -7 + -11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.0021 - -5.0021. What is the closest to 0 in -1\/4, 3.7, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -45*p**2 - 5*p. Suppose 10 = -7*c - 11. Let d be q(c). Let l = d + 548. List the prime factors of l.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4.9, -11614 in decreasing order.\nAnswer: 4.9, -0.4, -11614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p**3 + 2*p**4 - 8*p**2 - 21*p**3 + 40*p**3 - 4 - 4*p**4 as k*p**4 + x*p**3 + s*p**2 + j*p + h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 28\/3*o + 4\/3*o**2.\nAnswer: 4*(o - 6)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -18*h - u - 56526, 0 = 3*h + 22*u - 56388. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -3.3. Let r = 8 - 2. Let u = r - 1. What is the nearest to -2\/7 in 0.2, u, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-450000)\/(2\/(-6) - 27\/(-84)). Let b(s) = s**2 + 6*s + 4. Let m be b(-6). Suppose -m*i - j = -i. Round i to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + 6 - 4*a**2 - 2 - 2 - 11*a as z + y*a + g*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by 71?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32310013 (base 5) to base 12\nAnswer: 113615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120356353 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 17\/52?\nAnswer: 17\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 40*j + 1264991 = 3*p, -2*j + 506012 = -4*p. Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 5*f**3 - f**3)*(3 - 1 - 1)*(-3*f**2 + 0*f**2 + f**2).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 17 - 14 = 2*k - 7*u, 348*u + 33 = -4*k + 343*u - 48 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90119, 90118, 90117, 90116, 90115?\n\"Answer: -n + 90120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -47. Which is the closest to o? (a) 0 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 3, k: 6, s: 3}. What is prob of sequence kr?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 8661, -15, 4 in increasing order.\nAnswer: -15, -4, 0, 4, 8661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7444726 is divided by 206794?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 < 140767\/150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/16*1\/(5\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - -8*(-1)\/(6 - 5). Is (-110)\/15 - -8 - 17689\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92203 is divided by 28698.\nAnswer: 6109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*o - 2791 - 2105 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q + 4. Is 3 - (-3 - -7 - 14 - q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/(2\/6) - -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/9 + 1826*j**4\/9 + 193796*j**3\/9 + 799604*j**2 + 9684714*j - 10506054 = 0. What is j?\nAnswer: -797, -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10724455 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11124001\/72049749 + 1\/294682. Let k = 2\/163 + u. Let h = 0.482 - -1.518. Put h, -0.4, k in ascending order.\nAnswer: -0.4, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -138 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)\/z*z**(2\/9)*(z**1)**(-2\/69) assuming z is positive.\nAnswer: z**(-29\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/40 - d**5\/10 - 3*d**4\/8 - 8*d**2. Solve t(s) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 8*q - 5. Suppose 16*w - 19*w = 693. Calculate the remainder when (-1 - 11)*w\/99 is divided by a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Suppose 2*r = o - c*r + 17, 20 = 4*r. Suppose o*d = -d. Is d > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x - 17. Let l(y) = 2*y + 8. What is -3*j(h) - 7*l(h)?\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 26 - 130 + 7*r**2 + 3*r**2 + 371 - 133.\nAnswer: 10*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5028 = -177*p - 259*p - 14156 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 109. Suppose 0 = -3*x, 3*i + 108 = 6*i + n*x. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4489032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.5 (c) 50333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:38 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*j - t - 9, j - t - 14 = 0. Solve -2*s - 2*p = 0, 4*p - j = -s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2\/4 - 955*i + 11280 = 0.\nAnswer: 12, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(24)\/sqrt(3)) - -6*sqrt(18)\/sqrt(3))\/(sqrt(3072)\/sqrt(4)).\nAnswer: 7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Let t(d) = 85186221*d. What is i(t(n))?\nAnswer: -255558663*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 67, 133, 225, 343?\n\"Answer: 13*o**2 + o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3834 + -0.6834. Sort n, 12, 2\/201 in increasing order.\nAnswer: n, 2\/201, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-10)*4\/3. Let u be (y\/(-3))\/(4\/6). Let g = u + 22. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120100 (base 4) to base 2.\nAnswer: 1011000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19742737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1130 and -0.4.\nAnswer: 1129.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -11.5. Let p = 9.5 - z. Which is the nearest to 0? (a) 1\/4 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2225640 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-180)*-5*11\/((-198)\/(-12))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/6 - 13*c**2\/2 - 2*c. Let o be h(9). Is 2 - (-18)\/o*-2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3620)\/(-4525))\/((261\/12)\/((-15)\/(-8)))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*h)*(1 + 1 - 5) - 2*h + 1 - 1 + 5*h - h - 3*h + (4*h - 3*h - 2*h)*(3 - 1 - 4).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - p**2 - 6*p**4 - 12*p**4 + (-3 + p**2 + 3)*(5 - p**2 - 5).\nAnswer: -19*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161022152?\nAnswer: 2, 3, 23, 2103301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -468 (base 9) to base 13\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2888\/11 or -264?\nAnswer: -2888\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737526916, -737526914, -737526912?\nAnswer: -737526910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1951 + -1952. Let r(g) = -365*g + 14*g + 1 - 181*g. Is r(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = 3*t, -2*t + 5*z + 15 = 1. Let d = -13 + 3. Let j be (d\/(-4))\/(1\/t). Solve 0 = -j*r - 7 - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x + 5 - 3*x + 0*x**2 + x**2. Let t be h(-9). Suppose -5*m + 6*s = t*s - 99, 2*s = m - 27. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4650.28773 to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g. Let r be g\/((-2)\/2) + 3. Suppose 5*u - 27 = 3*i, -u - i + r - 4 = 0. Which is the nearest to -6? (a) -4 (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 3*b + 13, -21 = -3*f - 3*b. Let v be (0 + 1)*(f - 4). Let a(x) = 11*x**2 - 2*x + 1. What is the remainder when a(v) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.054 + -3.1821. Let h = -5.2981 - w. Let y = h - -0.17. What is the closest to -3 in y, 1\/2, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s - 7 + 70 + 37 = -72 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:21 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13184167 is divided by 1779.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1978\/42 - -13*(-20)\/2730. Factor -154*f - t - 1 - 21*f**3 + 36*f**2 + 3*f**4 + 166*f.\nAnswer: 3*(f - 4)*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6086375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 + 26 - 2*t**3 + 46 - 43)*(1 - 1 - 2*t) in the form q*t**4 + k*t**3 + i*t**2 + y + u*t and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345.\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 121 (b) 11 (c) -103 (d) 3 (e) 5 (f) 1 (g) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*h + 450, -45 = 2*n + h - 226. Suppose -30*i = -31*i + n. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -73*s - 1309. Let o be d(-18). Solve -o*z + 20 = -2*h - 8, 0 = -3*h - 3*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r**4 - 665*r**3 + 665*r**3 + 0*r - 2*r**4 + 0*r + (3*r**3 + r**3 - 5*r**3)*(2*r - 2*r + 2*r) - r**4 + 2*r**4 - 2*r**4 + 4*r**3 - r**4 - 4*r**3.\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-21))\/((-1)\/(-186)*-2). Suppose -4*z = -n*z + 12420. List the prime factors of z.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 68, 154, 274?\n\"Answer: 17*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(82896\/2983))\/((-1)\/30).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 7*q**2 + 2*q + 17. Let n be i(-7). Solve 1 - 4 = -n*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:24 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(684) + sqrt(684) + -2.\nAnswer: -1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011340646 to five dps.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51736328?\nAnswer: 2, 7, 67, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - z. Let r = -36 - -62. Let x be (-100)\/r + (-6)\/39. Let s(a) = 3*a**2 - 6*a + 1. Determine x*h(q) + s(q).\nAnswer: -q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 38440805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*(-99)\/(-88)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14304 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01562 - -0.01162. What is the biggest value in -4, -0.1, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.8+257529173\nAnswer: 257529192.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12793 - 63591\/5. Let p = -74 + j. Which is the smallest value? (a) p (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) 2\/9 (c) -0.1 (d) 101 (e) 3 (f) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 20829*u - 433847241\/2.\nAnswer: -(u - 20829)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 771*t**2 - t + 1. Let z be x(1). What is the tens digit of (-10)\/75 + z\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*j + 28 = 0, -6*j - 9 = -5*g - 2*j. Suppose 17380 - 53795 = -g*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22dad + 3?\nAnswer: -22daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.852766cm?\nAnswer: 68527.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-10) - 114\/(-10) is divided by 64\/10 - (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.35 - 9.05. Let t = 1.7 + f. What is the second smallest value in 0.4, t, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q - 5. Let y be t(4). Suppose -91 = -y*f - 4*s, s + 139 = 4*f + 24. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*k = -5, -k + 3*k - 2 = -5*t. Find d, given that t*d + 1\/3*d**2 + 2\/3*d**3 + 1\/3*d**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 5. Let j = -0.03 + 0.33. Which is the second smallest value? (a) 1\/2 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.8 and -2?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(2))*-6)**2.\nAnswer: 10368*sqrt(2) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/8, -1, -0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + v - 102, 0 = -z - 0*z - v + 36. Let i = z + -18. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -10 (c) 553\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5284, 0, -3\/10, -0.0567?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -33*d + 69. Let r be h(2). Suppose r*s + 21 = 2*f, 4*s - 6*s - 22 = -4*f. Solve -2*m - f*l = -10, 0*m - 16 = -4*m - 5*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 10, j: 2, l: 4}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*d = -37, -2*a - 4*d + 14 + 12 = 0. Let q be 4 + 2\/(-1)*a. Let z(m) = m**2 + 5*m. Give z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4839948 decades?\nAnswer: 58.079376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357 + 364. What is the smallest common multiple of 1 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - 3*z**4 + z**2 + 5*z**4 + 0*z**4 + z**3 - 10*z in the form q*z**2 + j*z**4 + n*z**3 + h + c*z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139956432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 269. Let y = -119 - w. Which is smaller: y or 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a)**(-36)*(a**(-2\/7))**9)\/((a*(a*a\/a**(-2\/7))\/a*a)**(2\/35))**(2\/23) assuming a is positive.\nAnswer: a**(8186\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14476 and 23436?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8494060 (base 10) in base 6?\nAnswer: -502020204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 13. Let t be o(-2). Find the second derivative of 0*j**3 - t*j + 0*j**3 - 102*j**5 + 108*j**5 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213 + -20095.\nAnswer: -20308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i. Let n(z) = 4*z - 20. Let h(r) = -5*r + 28. Let p(o) = 5*h(o) + 7*n(o). Suppose 50 = 5*c + 15. Calculate c*p(m) + 4*x(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -58280.81088 to the nearest integer.\nAnswer: -58281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*i = 10, -i = 4*p + 2*i - 2. Find the common denominator of 17\/24 and 90\/(-24) + (-3)\/p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**5\/3 + 105*c**4\/4 + 1765*c**3\/9 + 1055*c**2\/2 + 570*c - 2425. Let p(g) = 0. What is g?\nAnswer: -57, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33627710 divided by 1\nAnswer: -33627710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*x + 849, 0*x - 4*t - 1728 = 4*x. Let z = x + 624. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37802, 151218, 340260, 604934, 945246, 1361202, 1852808?\nAnswer: 2420070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-40))\/(135\/(-68) - -2). What is the third derivative of 10*h**3 + 2*h**2 + 4*h**2 + 2*h**3 - d*h**2 wrt h?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 476856 divided by 888\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -i - 46, 34*i = -5*n + 31*i - 41 - 69 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000253979 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 3, 3\/53, -4, -2\/17, -3\/2.\nAnswer: -4, -3\/2, -2\/17, 3\/53, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3223, 3433, 3643?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-70) + (-64)\/(-14). Suppose 3*g + 12 = g - l*v, 3*g = -4*v - 10. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*i**4\/5 + 138*i**3\/5 - 126*i**2\/5 - 138*i\/5 + 132\/5 = 0. What is i?\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*r**2 + 5*r**2 + 286*r - 121*r + 287*r - 452*r.\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + 7 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027022985 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:19 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -5*d**3\/2 + 2*d**2 - 2*d. Let g(q) = 8*q - 2. Let v(z) = -197*z. Let a be v(-1). Let r = 191 - a. Give r*j(f) - 11*g(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let l(i) = 1048*i + 21. Let m(n) = -l(n) - 6*z(n). Let t be m(-7). Let f = -58493\/8 + t. Find the common denominator of -89\/20 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 22*k - 65. Let y be x(5). Let f(t) = 3*t - 10. Let i(c) = -c + 5. What is y*i(o) - 3*f(o)?\nAnswer: -4*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1857504 and 242.\nAnswer: 20432544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by -145?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12922*u + 12914*u + 314480 = 0. What are the prime factors of u?\nAnswer: 2, 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -35. Differentiate -i - 1 - l*i + 5 - 4*i wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 3*u**3 - 1 - 5*u + 3 + 1 + 2*u**2. List the prime factors of t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 250, 337, 0.4, 1, 1\/4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10145.5969 - -10153. Let v = 7.4 - u. Round v to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -39*q + 132. Suppose 5*o - 3*l + 4*l = 17, -o - 2*l + 7 = 0. Let w = -15 - -59. Calculate the remainder when w is divided by r(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358394 plus -5904?\nAnswer: -364298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m + 78. What is y(0)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 11 = -3*n, 1518*n - 82 = 1486*n + 4*v + 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:27 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**3 + v**2 + 2*v - 1. Let u be q(-2). Let m = 106 + u. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677519748 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5900875589 to the nearest integer?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**4 + 38*w**3 - 4*w**2 + 1061*w + 2 wrt w.\nAnswer: -36*w**2 + 228*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/28 and (-2 - 171\/(-24))*(10 - 9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585870 = 54*a + 581604 for a.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g. Let b(x) = -x. Let d(v) = -6*b(v) + z(v). Let y be d(-4). Suppose 0 = -4*c + 3 + 1. Let i(k) = -k - 6. Let q(j) = -1. What is c*i(l) + y*q(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 3*o - 3*o + (-o - o + o)*(1 - o - 1) + 8*o**2 - 22*o**2 + 8*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208.5 + 208. Is 0.4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -3 + (-4)\/2. Suppose 476*r = 478*r - 774. Let h = r + -1547\/4. Put -2, o, -1.3, h in descending order.\nAnswer: h, o, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*b + 20 = -201*b. What are the prime factors of ((-30256)\/(-620))\/(0 + 4\/b)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 f when four letters picked without replacement from {e: 11, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 3*k + 3. Let d(t) be the third derivative of 5*t**5\/12 - 5*t**4\/3 + 20*t**3\/3 - 5*t**2 + 9. Determine 3*d(f) - 40*l(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0\/2*5\/15. Let k(u) be the second derivative of -3*u + 0*u**3 + 0*u**l + 0*u**5 + 0*u**4 + 0 - 1\/30*u**6. Determine w, given that k(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**3*l**3 + 5*k**3*l - 41*k**2 + 3*k*l**2 + 265*k*l - k + 2*l**3 wrt k.\nAnswer: 24*k*l**3 + 30*k*l - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9)\/6 + 2217\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695589337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 151. Let h = 6.79 + -8.79. Which is the closest to h? (a) 0.04 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -7*b**5\/3 - 47*b**4\/3 + 917*b**3\/3 + 229*b**2 - 90*b = 0.\nAnswer: -15, -1, 0, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/5 - 97*z**3 - 57078*z**2\/5 + 84132*z - 363096\/5 = 0.\nAnswer: -246, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - (8 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 754, 3, 2.\nAnswer: -6, -5, 2, 3, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/5 - (-182)\/65. Let k be -13*(-5 + (-4)\/(-1)). Find the second derivative of -6*t**2 + k*t**2 - 5*t + 2*t - p*t wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0133962 and -4.33?\nAnswer: -0.058005546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*z + 5522, -4*b - 5*z + 16831 + 5335 = 0. Is 137 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 322, 1349, 3012, 5269, 8078?\n\"Answer: -7*m**3 + 360*m**2 - 4*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18977?\nAnswer: 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-6)*(-2)\/4 + -3. Let l be -4 + (s + 6 - 4). Let g(p) = p**2 + 5*p - 2. What is g(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 24 = 16*s, -393*l + 15 = -388*l - 5*s for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1457586 and 1378?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11932 - 764?\nAnswer: 11179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 + 2*l + 1. Let y be n(-1). Suppose -3*g + 2438 = -0*u - 4*u, -3*g = -y*u - 2428. Suppose 5*x = -61 + g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -219. Suppose 7025 = 2*c + 5*g, m*c - 9965 - 4043 = 4*g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6 + 8 + y - 4. Suppose 0 = h - 3*h + j - 21, -5*j + 60 = -5*h. Let o be n(h). Calculate the greatest common divisor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1004 - 9?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d + d + d**3 + 0 + 1 - 9. Let h be s(-2). Let u be (-2)\/(-8) - 143\/(-52). Solve h*o + u = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n + 2. Let t(f) = -f**2 + 10*f - 9. Let z be t(9). Suppose z = 2*y - 13 - 7. What is the least common multiple of n and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 3*t. Suppose 4*u = -l - t*l + 12, 2*l - 15 = -5*u. Find the first derivative of 2 + 5*z**u - 3*z**3 + 1 + 4*z**3 wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019, 1889, 2755, 3617, 4475, 5329?\nAnswer: 6179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 33312 = -8*c. Let m = c - -3491. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -5, 35, -1, 0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-26)\/3 - -7). Sort -4, -5, 32, l in descending order.\nAnswer: 32, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36*6\/45*5)\/(366\/244)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84914046?\nAnswer: 2, 3, 7, 673921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/416 and -39\/352.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1491, -0.5, -7 in descending order.\nAnswer: 1491, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((100\/(-40))\/(15\/(-24)))\/(-202).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j**2 - j**3 + 34*j**2 - 15*j**2 + j - j**3 as p + m*j**2 + w*j**3 + n*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 680 - 680 - (-7 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = -2*u - 984, -992 = 2*u + x. Let c = u + 2481\/5. Let k = 21\/20 + c. What is the second biggest value in k, -1, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.025 (b) -3\/2 (c) -2 (d) 2\/11 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/15 + 112\/20. Suppose 0 = -0*i - s*i. Suppose i = -b + 3*b - 50. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 13*s**2)*(-3 + 1 + 3)*(-5*s**3 + s**3 + 3*s**3) + s**5 + 0*s**4 + 0*s**4 + 2*s**5 - s**2 + s**2 + (s**2 - s**2 + 3*s**4)*(13*s - 19 + 19).\nAnswer: 55*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*4*(-1 + sqrt(343) + -2*sqrt(343) + -1)*-6.\nAnswer: 48 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4133 = -3*u - n - 1256, 0 = 5*u - 5*n - 4815. Round u to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 901 + -82 - 28\/(-2). What is the greatest common divisor of 68 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32433331*14\nAnswer: -454066634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -64. Which is the smallest value? (a) -3 (b) 0.5 (c) 2\/15 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15456 and 128478?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 38 = 4*f + 98*y - 95*y, -3*f + 335 = -89*y for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2726 + 5155 = 792*w - 11035 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*o + 14 = 3*o, 4*b - 40 = -4*o. Let z = b - -4. Let a be 0 + 0 - (-23 - -23). Solve a*r + z = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1149 + -5?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w + 3 = 0. Let q(h) = h**2 + 9*h + 5. Let g = -18 - -8. Let c be q(g). Solve -w*v = -6*v + c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h**2 + 2*h**2 - 4*h)*(-4*h**3 - 2*h**3 + 2*h**3) + (-h + h + h**5)*(-4 + 5 - 3).\nAnswer: -6*h**5 + 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) + 1) - (sqrt(128) + sqrt(128)*-1 + sqrt(128) + -4) - (1 + (sqrt(72) + 0)*3))**2.\nAnswer: -136*sqrt(2) + 2316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1128*x**2 - 69.\nAnswer: 2256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100001 - 0?\nAnswer: -10110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**2 - 31*f**2 - 52*f**2 + (-3*f - f + 2*f)*(-f + 1 - 1) + 2*f**2 - 2*f**2 + 3*f**2 + 2*f**2 + 1 - 1.\nAnswer: -88*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8055992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1365739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*o - 1491 = 196*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-2)*15\/(-45)*-2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.086 + -61. Let j = v - -1.414. Are 4 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 282\/7 - 6\/21. Suppose a + m - r = 0, 0*a - a + 2*m = -28. Let g = a + -10. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -12. Let v(k) = k**3 - 10*k**2 + 8. Calculate the smallest common multiple of 12 and v(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14*(-3)\/(-9))\/((-2)\/9). Suppose -w*r = -25*r - 5*x + 588, -612 = -4*r + x. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 12*c + 10. Suppose -5*r + r - 4 = 0, c*w + 5*r = 5. Let g be 848 + 3 - (-2)\/w*-1. What is g rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.79 + 9.97. What is h rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f + 7 + 5 = 3*k, 3*k - 356*f + 358*f - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/(-66))\/(2\/(-18)) - 104\/(-572).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138321 is divided by 530?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1. Let u be 2\/5 + 22\/(-5). Let d be x(u). Suppose -1 = k - 5, 2*r = -d*k + 38. What is the remainder when 37 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-784)\/896*(-132)\/(-14))\/((-1)\/(-4)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 615\/7 - 20931\/238. What is the common denominator of y and -56\/11?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*z = -3433 - 845 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25 - ((32 - 33) + 10 + 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.9193 - 3.95. Let c = -0.0307 - a. What is the smallest value in 3, -0.2, c, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 48*t + 1. Let y(a) = a**2 - 125*a + 133. Give -3*m(n) + y(n).\nAnswer: -2*n**2 + 19*n + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 117, 275, 495, 777, 1121, 1527?\nAnswer: 1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.4, 0.4, 4, -1, -1\/5 in descending order.\nAnswer: 4, 0.4, -1\/5, -1, -25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**3 - 68*z**3 - 64*z**3)*(4*z + 5 - 5).\nAnswer: -596*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + 387. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-16)*(v*v*v**(-4\/15)\/v*v*v*v*v)\/v)**(-18\/7) assuming v is positive.\nAnswer: v**(1014\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 15*y + 3*y**3 - 5*y - 18 + 5*y - 7*y to t*y + m*y**2 + n + u*y**3 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 0.60198.\nAnswer: 0.0060198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szz when three letters picked without replacement from sszaz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**4 + 556*o**3 - 36182*o.\nAnswer: -72*o**2 + 3336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-6\/7))\/(p**(-2\/15)*p)*(p**(-1)*p)**(-48)*(p**(-1\/2))**48\/(p**(-7)*p**(1\/4)) assuming p is positive.\nAnswer: p**(-6829\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5285, -4, 0.3?\nAnswer: -2\/5285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 95. Let x(c) = -10*c - 285. Determine -11*d(m) + 4*x(m).\nAnswer: -7*m - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -9. Let c(i) = 4 + 2 + 3 + 4. Let j(z) = -z + 1. Let g(b) = w*j(b) - c(b). What is the first derivative of g(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.87293 years in centuries?\nAnswer: 0.6287293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(0*b**2 - 2*b**4 + 0*b**2)*(2*b - b - 3*b).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -82511*z**3 + 442*z**2 - 442*z - 663. Let i(x) = -2230*x**3 + 12*x**2 - 12*x - 18. What is 221*i(b) - 6*v(b)?\nAnswer: 2236*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 71*o - 220. What is v(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -2)**2 + 4 - (1 + (sqrt(5) + sqrt(5) + -2 + 1 + sqrt(5))**2).\nAnswer: -22*sqrt(5) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**2\/2 - 5*x - 117. Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7 - z - 1 - z. Let a be y(-6). What is p in 2\/3 + 2\/3*p**a + 2\/3*p**5 + 2\/3*p - 4\/3*p**2 - 4\/3*p**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j**2 + 147*j**2 - 10*j - 25*j**2 - j**3.\nAnswer: -j**3 + 178*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15520413 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, m: 1, l: 2, g: 1, u: 1}. Give prob of picking 1 m, 1 b, and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12578*l + 2*l**3 + 12570*l + 4*l**3 - 1 in the form m*l**2 + f + q*l**3 + z*l and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*v = 1, -3*v + 4 + 1 = 4*f. Let y = f - -15. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 2*l**2 - 22*l + 12. Let h be i(6). Let q be 1 + (-7 - h\/(-30)). Put -4, -0.27, q, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.27, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129298 is divided by 11371?\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2378*i + 1614*i - 64*i.\nAnswer: 3928*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393 and 12?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = q + 1, -q = z + 1. Solve 2*n + 8 = 5*c - 15, 18 = 4*c - z*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14245074 is divided by 2374178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 5) in base 12?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*t - 12522 - 291 = -2253. Solve 6*g = -16*g - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65818584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231\/4061 - 1\/131. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u**(2\/23))\/u)\/u*u*(u*u**(-6))\/u)\/(u*u\/((u*u\/u**(-2\/3))\/u*u)*u*(u*u**(2\/9)\/u)\/u*u*u*u) assuming u is positive.\nAnswer: u**(-1546\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3) + 40\/24. Let z be (u + -2)*-2*-4. Suppose 13*a - 435 = z*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-56) - (-2 - 160\/(-70)). Sort z, 2, -39 in ascending order.\nAnswer: -39, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 divided by 44?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -21. Let d(v) = v**3 - 4*v**2 - 9*v - 2. Let b be d(5). Let p = b + l. Which is bigger: -14 or p?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13392 is divided by 558.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvkkvvvkvvkkvkkkkv. Give prob of picking 2 k and 1 v.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -167, -262, -375, -512, -679, -882?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 842194 - 43306934?\nAnswer: -42464740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2300 = -60*l + 14*l. Suppose -5*c + l = -95. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 29 - 12 - 7873*g**2 + 2078*g**2 to the form r*g + t + x*g**2 and give x.\nAnswer: -5795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 8. Let s be p(-8). Suppose 21 = 3*x - s*v + 5*v, 5*v - 7 = -x. Suppose -x = r - 9. Solve -3*z - r*j + 3 = 0, 4*z + 4*j = 7*z - 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1664 + 8040?\nAnswer: 96a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 41\/5, 12, 0.4, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 365*q - 91. Let k be y(-4). Let t = k - -2269. 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 0.0181533272 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 71. Let i be (-3 - -2) + w + -5 + 6. Solve 5*d - i*l - 30 = 0, l + 16 = 4*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115+23026.48\nAnswer: 23141.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 9 = -13*l. Solve -2*u - l = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 8*o**5\/15 + o**3\/6 - o**2. Let k be (-1)\/2 - (-3)\/2. Let a be b(k). Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41695\/4 - -10424. Is -809 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8440.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:49 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -324*y - 8. Let h(v) = 649*v + 14. What is 4*h(x) + 7*i(x)?\nAnswer: 328*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 18*p - 23. Determine h(17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 9*r = 662 - 632, -4*r = 3*o + 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657, 662, 667, 672, 677, 682?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:58 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 1:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/15 and -55\/3829959?\nAnswer: 19149795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxl when three letters picked without replacement from oxxxxxxfllff.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 142 = -u - 5*i, 0 = -u + 4*i + 169. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 10760*l**3 - 5799630*l**2 + 11567000*l - 5778125.\nAnswer: -5*(l - 1075)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-106 + 0)*12\/(-144)*-12. Is p <= -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 103.21, 2\/9, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2677 - -3913. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Product of -41.9 and 919150.\nAnswer: -38512385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 6400*m**2 - 2*m + 6401*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 36*l**2 - 7*l + 16*l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7354405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, o: 4}. What is prob of picking 4 o?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1672756*j + 1395083 wrt j.\nAnswer: -1672756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -27*t**5 + 82896*t**4 - 680001*t**3 + 725736*t**2 - 128604*t = 0?\nAnswer: 0, 2\/9, 1, 7, 3062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d*f - 2*d + 10853*f + 1224 with respect to f.\nAnswer: -14*d + 10853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*f + 18 + 13, f + 28 = 5*l. Solve -2 = l*w - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 6809?\nAnswer: -79\/6809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6922*q = -6886*q - 684. Solve 4*f + 17 = 5*b, -5*b - 5*f - q = 3*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 19*o + 17556 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20577?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a factor of 30553826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 - 25*z**2 - 15*z + 5. Let s(d) be the third derivative of d**4\/24 + d**3\/6 - 5*d**2. Let b(a) = -r(a) + 20*s(a). Factor b(n).\nAnswer: 5*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-84)\/392 - (-22)\/(-28))*-10379.\nAnswer: 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*y - 4 - 17*y + 13 as d*y + u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/2552*(4 + -22). Which is the third biggest value? (a) 4\/3 (b) 0.06 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103116177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-16) + 1 + (-46)\/8. Let w(c) = c**3 + 7*c**2 + 7*c + 6. Determine w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) -1260 (c) 4 (d) -25 (e) 0.9 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 37, -2 in decreasing order.\nAnswer: 37, -2, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-21)\/((a\/(a*a**(3\/5)))\/a))\/(a**4*a**(-18)\/a*a) assuming a is positive.\nAnswer: a**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let t(f) = 15*f**2 + 3*f + 3. Let d(z) = 30*z**2 + 5*z + 5. Let m(r) = -3*d(r) + 5*t(r). Calculate m(y(s)).\nAnswer: -135*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:30 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15757.16922 rounded to the nearest 10?\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/451 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 26 = -4*b. Solve 3 = 3*c + b*a + 6, -2 = 2*c + 2*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8372 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3419 divide 4010875347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 1\/120*r**6 - 1\/30*r**5 + 32*r**2 + 0*r**4 + 0*r + 1\/6*r**3 + 0. Give q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a**2 - 3*a**2)*(4*a**2 - a**2 - a**2) + 0*a**4 + a**4 + a**4 - 5*a**4 + 4*a**4 + 0*a**4 + (-1 + 0 - 2)*(-1 - 2*a**4 + 1).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1111100010011110011?\nAnswer: -1111100010011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from xxxxxxixixxx?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*((-6*sqrt(198)\/sqrt(9))\/(sqrt(98)*-3) + -5))**2.\nAnswer: -720*sqrt(11)\/7 + 45782\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(200) + -1 - sqrt(200) - ((sqrt(2) - sqrt(20)\/(sqrt(160) - sqrt(10)))**2 + sqrt(2))).\nAnswer: -44\/9 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) - sqrt(20)\/sqrt(2)*5).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 13. Let f be p(-10). Suppose 4*g - f + 9 = -5*a, -2*g + 2 = 0. What is the first derivative of q**4 + q**a + 1 - q**4 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-10)*(2 - 60\/21). Let j(q) = -4*q + 7 - 6 + 4. Give j(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 81. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221776um in kilometers?\nAnswer: 0.0000000000221776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 + 71*i**3*s + 1038*i*s wrt i.\nAnswer: -60*i**3 + 426*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/c)\/(c\/(c\/((c\/(c**(-1\/6)\/c*c))\/c)))*(c**1)**(-46)*(c\/((c*c**(-2\/3)*c*c)\/c))**(-5)*(c**(-1)*c)**(-34) assuming c is positive.\nAnswer: c**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 8 - (0 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.41 + -11.39. Is p > -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 38436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.39, -0.5, -1, -5 in decreasing order.\nAnswer: -0.39, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3, -29 in decreasing order.\nAnswer: 2, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171442511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 19*g + 155. Determine h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*z + 43*z + 48*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1441 + -140. List the prime factors of s.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.67 + -2.46. Let w = 33.29 - 33. Let a = w + h. What is the third biggest value in 3, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1237 + 8084. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**4 - 5*b**2 - 5*b**4 - 3*b**2 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2874638 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27c3b + -2?\nAnswer: -27c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-3) - (-4)\/(-1). Let h(w) = -21 - 8*w - 4*w**v + 5*w**2 - 2*w - 10. Let a be h(13). Solve 4*b = -3*l - 7 + 20, l + 5*b = a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = 4*g + 196, -5*n + 200 = 4*g. Let x = n - 0. Suppose a + 2*b + x = 2*a, -2*a + 90 = -3*b. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 651*y - 30049. Give f(-601).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047033409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6389*k - 6391*k - 47 - 33 to the form u + y*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*w = -368, -3*q = -q - w - 362. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158216 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224864 (base 9) to base 5.\nAnswer: -13303332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*g = -20, 4*y - 209 + 229 = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18 and 7 + 12\/(-4) - 58\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508099.7 nanometers to centimeters.\nAnswer: 0.05080997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16275914587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298764.\nAnswer: 2, 3, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i + 5. Suppose -4*p + 633 = 3*m, -i*m - 4*p + 1055 = -p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4292\/3, -1\/2, -0.9?\nAnswer: -4292\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/3*(-336)\/35. Suppose -l = -7*s + 3*s. Let a = -38 + 102. Calculate the highest common factor of a and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**2*k*k)\/k)\/k**10)**(-24) assuming k is positive.\nAnswer: k**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/3 - 11*l**5\/15 + 29*l**2. Find the third derivative of x(f) wrt f.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -87, 90, 427, 978, 1797, 2938, 4455?\nAnswer: 6402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2. Let u(t) = -458 + 229 + t**2 + 233 - 6*t**2. Determine c(u(h)).\nAnswer: -75*h**4 + 120*h**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 171*s**2 - 2*s + 1. Let v be l(1). Let j be (v\/(-25))\/(1\/(-10)). Suppose 4*p - 2*p = -2*m + j, 0 = p + 2*m - 31. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 1214.5\nAnswer: 36.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m = 49*m + 24. Let b be (-4196)\/(-1396) - (1 + 5 - m). Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: a31 (base 12) to base 14\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*8\/(-224)*-2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d*x**3 - 686*d - 14*x + 2 wrt x.\nAnswer: -21*d*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1775, 7950, 18241, 32648, 51171?\n\"Answer: 2058*n**2 + n - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r. Suppose -4*y - 2 - 5 = -v, -5*v - 4*y = 13. Let w be b(v). Find the third derivative of w*u + 2*u**2 - 3*u + 3*u**3 + 0*u**2 wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + 2*v**3)*(2 - v - 2 + (-2 + 3 + 1)*(1 - 1 + v))*(-2 + 2 + 2*v).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 4. Suppose -32*h + 7 = -25*h. Let w(x) = -63*x + 257. Let z(o) = h*w(o) - n(o). Find the first derivative of z(q) wrt q.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 8*q + 1\/2*q**3 - 1\/10*q**5 + 1\/6*q**4 - 3\/2*q**2 + 0. Suppose 24*y - 36*y = -24. Give p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -582, 145, -6, -5 in decreasing order.\nAnswer: 145, -5, -6, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452240 + -525?\nAnswer: -453205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/5 + 6*u\/5 + 16 = 0. What is u?\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:43 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-975)\/(-45) + 8 - 1\/(-3). Put -3, 3, p, 0 in decreasing order.\nAnswer: p, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*f = 23, -3*i + 4*i + 5*f = 27. Let z(p) = 4*p**2 + 4*p - 3. Let y(w) = w - 1. Let u(c) = 5*y(c) - z(c). Give u(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 52*t + 172. Let o(y) = -27*y - 83. Give 9*o(n) + 5*p(n).\nAnswer: 17*n + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1618023528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11632726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2932)\/245635)\/((-16)\/216). Let m = f + 3\/7558. Find the common denominator of -47\/143 and m.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/(-2))\/(11\/3960)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2562 and 2906162?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -815, -11030, -42363, -106520, -215207?\nAnswer: -380130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -13. Suppose 2*a = -n + a + v, 6 = -2*n + 2*a. Suppose n*i = -i + 36. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 8393?\nAnswer: 33572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2. Let z(h) = -h - 3. Let r be z(-8). Suppose -r*y = 4*a - 2*a - 18, -a = 4*y - 15. Let c(f) = f + 3*f - y*f - f. What is k(c(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (3 - 123 - 4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + 11. Let c = d + -96.6. What is c rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 16675254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:09 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 183 - 17210?\nAnswer: -17038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51*15\/(-855) - (-5 + 6). Let d be 0 - (-2 + (-32)\/(-14)). Is d at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 26. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(8\/3)*k**(-6))\/((k**3\/k)\/k*k**(8\/3)) assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c - 2. Let j(h) = -11*h - 1. Calculate j(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + (-1 - 5) - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334 divided by -16472?\nAnswer: 23\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 116 = -4*g + 3*k, -4*k + 127 = 5*g. Suppose -g*y + 150 = -22*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 5*j + 5. Let v be r(1). Suppose -1554 = -2*d - g + 1267, v*g - 12 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -114\/11, 3, -0.4, -1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -185, -277, -369, -461, -553?\n\"Answer: -92*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*n + 6. Suppose 4*k - 5*d = n, 6*k - 2*k + 3*d = 18. Suppose -3*r + 2 = -5*i, 5*r = 2*i + 5 + 11. What is the lowest common multiple of k and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103\/3 + -34. Let k = -8 + 5. What is the nearest to x in k, 2, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266 + 264.9. Let o = 4.1 - 0.1. Let y = o + g. Round y to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + m**2 - 4*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692487 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 875*b**3*h + 23*b**3 + 3115*b**2*h - 8534*b**2 + 37 wrt h.\nAnswer: 875*b**3 + 3115*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12)\/(4\/40 - 27\/((-10530)\/546))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (-6)\/(-60)*-78. Let b = 2 - -1. What is the second smallest value in -3\/2, y, b, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose -o - u = -21. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 685.0362 minutes?\nAnswer: 41102172000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 842424 and 536088?\nAnswer: 5896968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261090 is divided by 4139.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1007*q**2 - 1624254*q - 59681.\nAnswer: (q - 1613)*(1007*q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4748\/5 - -950. Which is the nearest to 1\/3? (a) -5\/3 (b) q (c) -128 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 - (-1 + 2 + -1) and 9\/(-18)*1*-14.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0 - 2*w**5 - 2*w**2 + 27*w - 4*w**3 - 2\/5*w**6 - 4*w**4. Let o(l) = 0. Calculate l.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2625824, 5251761, 7877698, 10503635, 13129572?\n\"Answer: 2625937*t - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -5*c**3\/3 + 7*c - 25. Let z(d) = -7*d - 15*d + 7*d. Determine z(i(t)).\nAnswer: 150*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -27. Let w be 24\/(g\/3)*8. Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196732191 = 2*x - 7676115. Let z(f) = 20777*f**3 + 10*f**2 + 5*f - 3. Let g be z(12). Suppose x - g = 3*q. Round q to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*p = -21 - 48, -4*d - 262 = -2*p. Let w = 2080 - 2240. Let l = d - w. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -92.7. Let k = c + -6. Sort -5, -0.4, k in decreasing order.\nAnswer: k, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5 = -3*f, -2*t + 11 = 3*t - 2*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 + -45. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145010915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801420?\nAnswer: 2, 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.42 + -2.43127. Round g to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14705 is divided by 687?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 75.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*t - 9 = -0*t, 4*u + 4*t = -12. Is (u - -1) + 41 + -3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -38. Solve -5*c + c + 12 = y, -c + a = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458*c + 448*c - 922*c + 1284736 = 0. What is the ten thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 13*o**2 - 6*o - 15. Let a be k(12). Let j = a + 233. Solve 3 = -p - 2, 4*c - j*p + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -5, -6 in decreasing order.\nAnswer: -5, -6, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 3, g: 1, k: 4, d: 2, h: 2}. What is prob of sequence fw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 308 = -b - 25*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.85 - -24.55. What is the biggest value in 42, a, 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49143325*k + 33993600.\nAnswer: -49143325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.32 - 5. Let i = l + -0.02. What is the nearest to -1\/2 in 0.1, i, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 3616?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-42) - (-202)\/707?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 98\/195 and -39\/940.\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 52. What is w(27)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.735911 milligrams?\nAnswer: 0.008735911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l**2 + 4*l**2)*(6*l + 3*l - 4*l) + 25*l**3 + 29*l**3 - 45*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.9. Let b be (-376)\/(-658) - (-13)\/(-56)*3. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(-2*sqrt(726)))\/(-3*sqrt(224)\/sqrt(7)).\nAnswer: sqrt(19)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 2215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 4 - 5 + 0. Let p = -6215 + 6209. What is w(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1708.3884529+-0.3\nAnswer: -1708.6884529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 516 + -503. Suppose -h = -24 - 7. Let k = h + 6. Calculate the remainder when k is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4220 (base 8) in base 4?\nAnswer: -202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/25)*n*(n\/(n\/n**3))\/n*n)\/(n**(-2\/3))**31 assuming n is positive.\nAnswer: n**(1847\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 0 + (13 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 5)*(3*p - 4*p + 0*p) + 497*p - 125*p - 166*p.\nAnswer: 213*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*d**2 + 1 + (18*d - 2*d + 3*d)*(d + 5*d - 4*d) + 3*d - 3*d + 2*d**2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110449859038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (55 - 14)\/((-2)\/(-10)) is divided by 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.294? (a) -1 (b) 176 (c) -4 (d) -1\/24 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 plus 1217?\nAnswer: 1217.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4 - 6. Let k(r) = r**3 + 10*r**2 + 14*r - 20. Let b be k(-8). Let j be 4\/14*(-7 + -4 - b). Which is bigger: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*i**3 - 822*i**3 - 872 + 215 + 220 + 215 + 222.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49510507.77 rounded to the nearest one hundred thousand?\nAnswer: 49500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 3\/(-5))\/(8\/(-80)). Let x be 4\/6 + g\/3. Which is the nearest to x? (a) -0.5 (b) 2\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 220036663?\nAnswer: -220036667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 9*t**3 + 56*t**2 - 196*t\/3.\nAnswer: t*(t - 1)*(t + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 1065*f - 1070*f + 4 = 0, -3*f - 2 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228 - -766. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-24))\/((-4)\/(-42)). Let j = s + -4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s - 2*s)*(-1 - 2*s + 1) + 10*s**2 - 113*s + 113*s.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3, -2, -7, -1, -204770 in ascending order.\nAnswer: -204770, -7, -5, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -25*f - 166. Give q(-11).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6 + 6. Suppose -2*i - 20 = -30. Solve -2*q = l*q + i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508969906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 64 = -249 - 61 + 14 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002593 to seven dps.\nAnswer: -0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -14*t**3\/9 - 286*t**2 + 246*t - 2290. Factor x(r).\nAnswer: -2*(r + 123)*(7*r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w - 3. Suppose -v + w = -3. Suppose 13 = z + 4*z + 3*l, -l = v. Solve -z*f - 26 = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -243, -471, -699?\n\"Answer: -228*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(168\/18))\/(1\/((-3)\/81)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50213273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -156, -234, -312?\n\"Answer: -78*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from kssccckkfssckkkkffc?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 4*g. Let x be p(5). Let t be 3*((-80)\/12)\/x. Is 1\/t - 9549\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3109, -9884, -22879, -35876, -48875, -61876?\nAnswer: -74879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 11*g - 14. Determine o(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3 - 7. What is the smallest value in -4, h, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 10*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let y be 90\/25 - (-2)\/g. Let f(h) = -1 + 3 + 0 - 6*h + 4*h. Calculate f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*p + 5, p - 3 = -3*j - 2. Let d be -4 + 2 - (-7)\/p. Find the first derivative of -y - d + 3 - y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose j*t - 14 = 4*y, y + t - 6*t = -26. What is the nearest to y in 2\/9, -4, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 319 - 101.5. Let i = z - 217. What is the nearest to -1\/2 in -0.1, -11, 3\/8, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-m**3 + 4*m**3 + 0*m**3)*(1 + 2 + 1).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/612 or 2\/5979?\nAnswer: -1\/612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062927674 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 2, i: 2, n: 2}. Give prob of picking 2 j and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 21.1. Let y = o + -23. Let b = y - -1.164. What is b rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 - x**2 + 0 + x**2 + 0 + (-3 + 3 - 2*x)*(-2*x + 0*x + x) - 10*x**2 - 12 + 12.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**25*w\/w**(-7)*(w*w*w**(-1\/40)*w*w)\/w**(-2\/71))**(-8\/5) assuming w is positive.\nAnswer: w**(-105089\/1775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**48*g*g*g*g*g**16)\/(g*g*g**(-27)*g**(-25)) assuming g is positive.\nAnswer: g**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - x - 9 = 0, -6*x = 5*b - 2*x - 16. Let t(s) = -2*s + 6. Let l be t(5). Let u be (-7)\/(-21) + (-11)\/((-165)\/10). Put u, l, b in descending order.\nAnswer: b, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - ((2 - -20) + -9)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3857 + 55ac?\nAnswer: 1d55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330686312 to the power of 1\/3, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 47, 64?\n\"Answer: 17*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 27*p - 28*p = -4*z - 5, 4*p = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 6*z + 3690. Suppose 0 = 5*h - h - 2*n - z, -h + 162 = -5*n. List the prime factors of h.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*q = 267*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 2*f**3 - 118*f**2 + 121*f**2 + 0*f**3 as k*f + w + m*f**3 + p*f**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -0.0498, -3 in increasing order.\nAnswer: -5, -3, -2, -0.0498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2347*y**2 + 4593*y**2 + 5217*y**2.\nAnswer: 7463*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2017930.7168614 + -17.2711386. Let o = 2017910.98800036 + v. Let i = o - -37. What is i rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 56*a**2 + 2254*a + 556. What is q(-40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31516401 - 10862*r + 31516401.\nAnswer: -10862*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 178.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 106855, 427736, 962533, 1711246?\n\"Answer: 106958*b**2 + 7*b - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c582738 + -1?\nAnswer: -7c582739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + 3*i**4 - 3*i**4 + (3 + i**2 - 3)*(-6*i**2 + 2*i**2 + i**2) + 17*i**4 - 3*i**4 + 0*i**4 in the form m*i**4 + t*i**3 + r*i + d*i**2 + x and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 638356215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k - 4*k - 23 = 262. Put k, 19, -4, 34 in increasing order.\nAnswer: k, -4, 19, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -84120280, -84120279, -84120278?\n\"Answer: n - 84120281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:05 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 412433.5ng in grams?\nAnswer: 0.0004124335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 3 = 0. Suppose 0 = z*f - 12 - 30. Suppose 103*n = -118*n + 386*n - 3960. Calculate the remainder when n is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -37, -15, 63, 3 in ascending order.\nAnswer: -37, -15, -4, 3, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 25 = 11*z + 3*g, -2*z - g = -10. Suppose 2895222 + 4624780 = 2*p - 2*w, -5*p - z*w + 18799995 = 0. Round p to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*19\/((-247)\/52)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(9)\/(sqrt(3) + sqrt(3) + sqrt(12)) - sqrt(3)) - sqrt(18)\/(sqrt(6) + sqrt(6) + (sqrt(30) - sqrt(270) - sqrt(30))\/sqrt(5)))**2*1.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5790*l - 589 = 2904*l + 2905*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1096\/361639 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 14. Let u(n) = 8*n + 18. Let p(x) = 4*r(x) - 3*u(x). Let a be (0 - 2) + (2 - 4). What is p(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22103)\/(-552) + (-1 - 782\/(-816)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50554 (base 6) in base 11?\nAnswer: -5036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 0.31165986396?\nAnswer: 1.68834013604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w)*(-2*w**3 + 2*w**4 + 2*w**3) + (0*w**2 - 4*w**2 + 5*w**2)*(w**2 - 3*w**2 - w**3 - w**2).\nAnswer: -5*w**5 - 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110.1? (a) -0.5 (b) 2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k - 1. Let g(a) = -6*a**3 + 9*a**2 - 26*a + 6. Let s(x) = -g(x) + 5*y(x). Let q be s(6). What is the highest common factor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11230823 and 28?\nAnswer: 314463044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.73 - -0.93. Let i = 0.03 + 0.47. Sort q, -4, i.\nAnswer: -4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -1 + 131 + -123?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 53, 20, -83, -280?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 397*b - 5. Let q be y(-1). Calculate the common denominator of -1 - (q\/380 - (7 + -7)) and 97\/(-11)*(-4)\/(-8).\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-132) - (-530)\/420 - 107\/(-28).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22356800 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 0.3 (b) 14.1 (c) -10 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7583.95582 to the nearest ten.\nAnswer: 7580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - ((-4 - 103) + -6). Suppose -6*k = -15*k + c. What is the remainder when 13 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15984 - 47948\/3. Let j(z) be the first derivative of -2*z**2 - o*z**3 - 3 + 4*z + z**4. Factor j(c).\nAnswer: 4*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2, -g - 40 = -s - 5*g. Calculate the remainder when 93 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = n + 3*n - 12, 0 = 3*n + z - 9. Solve t = -5*g - 2 - n, 17 = -g + 3*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((10 - 5) + -3)*10\/4. Let q be 2\/((-3)\/(150\/(-4))*y). Solve b = q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.2. Let v = -3609 + 3613. What is the second smallest value in v, -1\/13, t, -0.2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -5, 2\/2160687, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, n: 2, e: 6}. Give prob of picking 1 h and 2 n.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c0ba9c - 4?\nAnswer: 8c0ba98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20978 less than -16557.6?\nAnswer: -37535.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-30) + (-784)\/(-1176). Sort x, 0.21, 1\/13 in increasing order.\nAnswer: 1\/13, x, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t - 9*t + 8*t - 15*t. Is 12 a factor of i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*n + 5. Calculate the remainder when 1 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13465 + 13398. What is the third smallest value in x, -0.03, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*j**3*t**3 + 6*g**3*j**2*t**3 + 2*g**3*j*t - 2*g**2*j**3*t**3 + g**2*j**2*t**3 wrt j?\nAnswer: 6*g**3*t**3 - 12*g**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -18*g**2 - 3*g + 106. Let w(b) = -15*b**2 - 2*b + 105. Let h(z) = 2*v(z) - 3*w(z). Let j(f) = f**2. Calculate h(j(i)).\nAnswer: 9*i**4 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9328.948+-74\nAnswer: -9402.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/((-4)\/16)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7345, 6817, 6289, 5761?\n\"Answer: -528*t + 7873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -558 + 552. Let s be 54\/(-126)*3\/(27\/u). Let z = 0.6 - 0. Sort z, s, 2\/9 in decreasing order.\nAnswer: z, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7074 > 7074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29724420 divided by -5\nAnswer: 5944884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, 34, 73, 108?\n\"Answer: -2*t**2 + 49*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -31924*r + 127711. Determine d(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29514274897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -23*r. Suppose 12*y - 16*y + 484 = r. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 213388 - -325?\nAnswer: 213724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*o. Let b = -2 + 4. Solve o = -b*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:30 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:37 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 382 - 398. What is the common denominator of ((-3)\/(-6))\/1 - 100\/z and 34\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 4)*(2*q - 6*q + 2*q)*(0 + 3 - 1).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.06 - -0.06. Let m = 0.4 + 0.3. Let b = 0.3 + m. Sort 3\/4, h, b in ascending order.\nAnswer: h, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6694, 5\/6, 5?\nAnswer: -6694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(539) + (sqrt(539) - (sqrt(539) + 1))*-5)**2*2 + ((1 + -1 + sqrt(539) - sqrt(539))*-4)**2).\nAnswer: -6768 - 840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t - 2*t)*(7256 - 23389 + 3947)*(6*t**2 - t**2 - 3*t**2).\nAnswer: 24372*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 - a - 4. Let w be s(-3). Let k = 54 + w. Find the second derivative of k*g + 9*g**4 - 14*g**4 - 14*g wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/12095607 and -139\/7950.\nAnswer: 604780350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose -k + 0*k + 35 = 3*d, -5*k = 8*d - 112. Solve -3*z = -u + z - k, 0 = 3*u + c*z - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n**3 + 0*n)*(31*n - 41*n - 33*n) + 20*n**4 + 32*n**4 - 10*n**4.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y + 3 = 3*p + 44*y - 2, -17 = -3*p + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -32 + -15 + 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 75 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -o - 0*o. Let c = o - -27. Suppose -5*y + 5 = 5*w, -7 = 3*y + 6*w - w. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 38. Let r(f) = -1. Determine -c(p) + 2*r(p).\nAnswer: -2*p + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2 - 1836*u + 173055 = 0?\nAnswer: -695, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164 - -178) + 4 + -24 + 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -74, -99, -144, -215, -318?\n\"Answer: -m**3 - m**2 - m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (84\/(-36) + 1)\/(4\/(-3)). Solve 10 = -3*f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from rxrxxrrr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2 + 1. Let j(d) be the third derivative of 1\/60*d**5 + 0*d**3 + 0*d + d**2 + 0 + 0*d**4. Determine a(j(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -1\/8, -3, 4, -48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -631*w**2 + 483*w - 4. Let u(t) = -3155*t**2 + 2412*t - 22. Let q(h) = -11*i(h) + 2*u(h). What is the second derivative of q(n) wrt n?\nAnswer: 1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 115 = -4*t, 3*v + v = -122*t + 127*t + 51 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576870?\nAnswer: 2, 3, 5, 7, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -i - 3, -2*j + 9 = i. Solve -j*p + 26 = -2*s + 6*s, -4*s - 4*p + 36 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j - 14. Let t be q(1). Let c(f) = 47*f + 1. Determine c(t).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5600321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*l + 114 = 0, -7*m - 5*l = -2*m - 300. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 6519?\nAnswer: 19557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*v = -447*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83690 rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 588?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-35)\/147)\/(-1))\/((-165)\/594)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009437 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pii. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 3 + 2*u**2 + 4*u + 2*u as x*u + n + j*u**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406140*j - 166668 = -408078*j for j.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 772014869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3*p**5\/5 + 11*p**4\/4 + 8*p**3\/3 - 2*p**2 - 27. Factor o(x).\nAnswer: x*(x + 2)**2*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 + 11?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 + 8*v. Let i(j) = -j**3 + 19*j**2 + 149*j + 23. Let q be i(25). Give s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*v - 5, 4*v - 8*v = -3*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/4, 0.3, -9\/35, 4\/3?\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7266 divided by 5.\nAnswer: 7266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 973 and 6153?\nAnswer: 855267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (8 + 7 + (50 - 116)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35, -0.1, -4, -2\/11?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 9*a + 4. Let y be g(8). Solve 5*l = l - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1.5, -8.4 in increasing order.\nAnswer: -8.4, 0.3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37705 is divided by 366.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 80*a + 183. Determine x(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 + 6*h**2 - 6*h - 6. Let m(s) = 2*s**2 - 4*s - 2. Let i be m(4). Let g = i - 20. Let z(x) = -x**3 - x**2 + x + 1. Determine g*z(l) - a(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3495907 is divided by 1196?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*n - 9*s - 131, 0 = -3*n - 4*s - 97. Let d = 78 + n. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 862 (c) 1 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.11141 - 0.61671. Let w = l + -4.5. Round w to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*u + 2*u - 6, -b - u + 2 = 0. Suppose m + 0*m - 4*i - 20 = 0, 2*i + b = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) + -5*-1*sqrt(170) + sqrt(170))) - -1*-1*sqrt(170))\/(sqrt(60)\/(sqrt(54) + sqrt(6))*-3).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -229 + 462 + 2*p - 230 + 15*p**3 + 0*p as k*p**3 + g + r*p + x*p**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7648\/20 + 4\/(-10). Let a = 539 - h. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 6405*c**2 - 51*c**3 - 3204*c**2 - 3204*c**2 as r*c**3 + l*c + f + b*c**2 and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3022 + -3019. Let 0*b**2 - 2\/5*b**y + 0*b + 0 = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(72) - (sqrt(72)*-2 + 0 + sqrt(72)) - -1*(-4 + sqrt(2) + 1)))**2.\nAnswer: -1248*sqrt(2) + 5552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 61, 3, 5, -2 in decreasing order.\nAnswer: 61, 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.7523792 months?\nAnswer: 0.0001460316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2*z - 14 = -2*b, -4*z = -4*b. Let r be ((-6)\/(-9))\/b*-2. Let f = -1.5 + 1. What is the third biggest value in f, r, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*k - 3*k - 21*k)*(2 - 1 - 2)*(4*k - 4*k + 2*k) to t*k + p + b*k**2 and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 431 = r, 0 = -0*f - 3*f + r - 259. Let z = -44 - f. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377030113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 3. Let g = 28 + -33. What is the nearest to -2 in 0.3, y, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 6 - 13) + -6 + -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 18. Let t be i\/2*4\/8. Let a = 16 + t. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r - 21*r + 5*r - r + 4*r - r + r + 1 - 1 + (-3 - 2 + 6)*(-r - r + 0*r) - 5*r - 5*r + 4*r)*(11*r**2 + 9*r**3 - 11*r**2).\nAnswer: -270*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53604154 to the nearest integer?\nAnswer: 7321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2. Let q(a) = 4026290*a. Give m(q(v)).\nAnswer: -243165167461500*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*s**5 - 337*s**4 - 4*s**3 + s**2 - 16736?\nAnswer: -480*s**2 - 8088*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x - 446. Give n(15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 3:25 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209 and 57?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffblnfondllff. What is prob of picking 1 o and 1 b?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4946 or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694779418 to the power of 1\/2, to the nearest integer?\nAnswer: 51911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101310 is divided by 1244.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 388 - 328. Let t = h - 10. What is the smallest common multiple of t and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/16 + z**3 - 27*z**2\/8 - 4032*z. Factor x(m).\nAnswer: 3*(m - 1)*(m + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2681 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 26*m**2 - 5*m - 127. Let v be i(-26). Put -1, -9, 57, v in decreasing order.\nAnswer: 57, v, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from oyyyyllyoyoz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = 71*d - 2650116. List the prime factors of d.\nAnswer: 7, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o + 2709 = 441. Let a = o + 84. Solve -2*t + 3*q + 24 = -6*t, 5*t - 3*q + 3 = a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -255 - 145. Let x = i + -56. What is x rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 29560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10932 or -10930?\nAnswer: -10932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 7. Let y(a) = -11*a - 15. Let x(q) = 13*m(q) + 6*y(q). List the prime factors of x(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*15\/((-45)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -10\/11*g**3 + 2\/11*g**5 - 16\/11 + 20\/11*g**2 + 8\/11*g - 4\/11*g**4 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.5 + -66.\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(448) - -3*sqrt(448) - sqrt(448) - sqrt(448)).\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 4550*m**2 - 9040*m - 36320.\nAnswer: -5*(m - 908)*(m - 4)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 488.497653006 and -0.175.\nAnswer: 488.322653006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -53a (base 11) in base 2?\nAnswer: -1010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q + 1. Let l(n) = 10*n - 1. Let g(a) = 2*f(a) + 2*l(a). Let r(i) = 16*i**2. What is r(g(z))?\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6188789g in nanograms?\nAnswer: 618878900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/350*-5)\/(1\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46228 by -364.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 - 1544*t**4 + 39376*t**3 - 215288*t**2 - 554900*t - 298688 = 0.\nAnswer: -1, 13, 16, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -10 - (8 + (-23 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let j = -1.1 - -4.1. What is the closest to -2\/3 in j, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {b: 1, t: 3, p: 2, e: 10}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471.30464 rounded to one decimal place?\nAnswer: 1471.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22142000 to the nearest 100000.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k**2 - k - 1. Let m(i) = -8*i**3 + 6*i**2 + 7*i + 6. Let c = 16 + -15. Give c*m(w) + 6*h(w).\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 10*15\/(-24). Let d(r) = r**2 - r + 1. Let s(n) = -5*n + 13. Let p(u) = d(u) - s(u). Let t be p(x). Solve 2*h + 2*y = t, 0 = -y + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 23*b**2 + b**4 - 3*b - 25*b**2 - 4*b - 38 to the form p*b**4 + g + w*b**2 + v*b + t*b**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635444.9ms in hours?\nAnswer: 0.45429025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 54*h + 15256. Give x(-103).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Let z(i) = i**3 - 4*i**2 + 6*i - 7. Let u be z(3). Let q(a) be the third derivative of a**u + 0*a + 0*a**3 + 0 + 1\/6*a**4. Give q(n(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1740038, -1740039, -1740040?\nAnswer: -1740041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/20 - 13*a**4\/12 + a**3\/2 + 7*a**2 + 11*a. What is the units digit of r(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -6 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52899835 divided by 3\nAnswer: 52899835\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 32 = -4*g + 83, 2*g = 5*a + 85. Suppose p = -2*p + g. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 8 + -3 - -2) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2104.3 + 2102.1. Put f, -3\/5, -45 in descending order.\nAnswer: -3\/5, f, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -11. Suppose 4*i - 25 - 7 = z. Find p, given that 3*p**5 + 6*p + i*p - 15*p**3 - 2*p = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 100. Let c = a + -20. Suppose -65 - 7 = -3*m. Solve c*k - 3*k = 3*b - m, 4*k - 14 = 2*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**(15\/4)\/(v**3)**(-2\/131) assuming v is positive.\nAnswer: v**(-1959\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-544 - -514) + (0 - -10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50411739, -50411736, -50411733, -50411730?\n\"Answer: 3*u - 50411742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n. Let t be s(-5). Suppose 3*c - 95 = 5*w, 0*c - 3*c - 81 = 3*w. Let o be 1\/(-2*1\/w). What is the highest common divisor of t and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s + 0*s**2 - s**2 + 15*s - 22*s**3 - 709*s**3 as j + o*s + q*s**2 + p*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3\/4 (c) -620\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/17 (b) 5.5536 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.31 + 4.69. Let w = -2\/11 - -4\/11. Which is the closest to 1? (a) w (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 522 + 472 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -1224824.\nAnswer: -1224823.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1234, 12, 15 in decreasing order.\nAnswer: 15, 12, 2, 0, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 7. Suppose 0*u = 7*u - 56. Suppose 30 = -3*z + u*z. Give w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (532\/152)\/((-154)\/(-33)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 + w - 5. Let s be (27\/(-36))\/((-12)\/656). Suppose s = 2*g + 49. Calculate p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*f - 847, -5*f + 7*t = 3*t - 863. Let c = f + -166. Solve 9 = -3*s + 2*s + 5*o, c*o - 17 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58020 - 64176.3. Round o to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -161\/8, -2, -5.4, 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -79. Solve 6*s = 2*s + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 11*w + 9. Let l = 478 + -475. Calculate the smallest common multiple of 279 and m(l).\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112255 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-378) + (-4)\/(-14). Let x(s) = s - 8. Let k = 36 + -29. Let i be x(k). What is the second smallest value in p, i, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63744 by 6.\nAnswer: -10624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 120 - 120.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 - b + 2. Let z be k(-5). Let y = z - -41. Let o(f) = -2*f**3 + 3*f**2 + 5*f + 2. What is the remainder when o(-3) is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(16\/3)*(n\/(n*n**(-7)\/n)*n*n*n)\/n assuming n is positive.\nAnswer: n**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2 + 2*y**3 + y**2 - 3*y**3 - 2*y**3 + 2*y**2. Let a(m) = 7*m**3 - 7*m**2 + 5. Let t(v) = -2*a(v) - 5*g(v). Suppose t(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -36*l + 203. Let s(t) = 51*t - 202. Let n(x) = 3*s(x) + 4*u(x). Give n(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let y(n) = -5*n**3 + 2*n + 1. Let g be y(-1). List the prime factors of 7\/l + g\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1137171000 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - v + 60 = 0, 0 = 4*l + 5*v + 43 - 163. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = -3. Solve -4*y = -5*a - 23, 0 = 2*a - l*y - 5 + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/57)\/(930\/12*(-12)\/(-60)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, 12, 4 in increasing order.\nAnswer: -3, -1\/8, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037275.\nAnswer: 5, 19, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 49*s - 7. Let k be d(6). Suppose -9*j + k = 71. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5 - -3)*2)\/(-1). Suppose 2415 = 4*j + 2*w + 635, h*j - 1794 = 5*w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, k: 8, b: 2, z: 7}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559.07561 less than -460?\nAnswer: -3019.07561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 33, 63, 113, 189?\n\"Answer: n**3 + n**2 + 6*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2060079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*t + u, t + 272 - 280 = -5*u for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54986 - 337363\/6. Let z = -1230 - w. Find the common denominator of z and -1\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 167?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**11\/z*z**(-7)\/z*z\/z**(-15)*z*z\/(z*z**(-8)))**(6\/17))**(-36) assuming z is positive.\nAnswer: z**(-6048\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.282336 minutes to hours.\nAnswer: 0.2547056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 3 + 3 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003389551106 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 148 - 4. Suppose 4*d - 61 = 3*i, 3*d + 0*i + 3*i = g. Calculate the highest common divisor of d and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c = 16*c + 1064831. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*x = -15626, -2*g - 50*x + 6249 = -53*x. Is 3125 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1094 + 305. List the prime factors of o.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1, 287 in ascending order.\nAnswer: -1, -2\/3, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/11 (c) 25 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5984.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1639058 divided by -1.\nAnswer: -1639058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 - -4))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57387604.90633 + 1350.09367. Let j = -57388707.00103 + c. Let d = 248 - j. Round d to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.058 millilitres in litres?\nAnswer: 0.832058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*o - 31365 = 0, -5*b = -4*o + 5*o - 31355. Suppose -2*l - b = l. Round l to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -2\/5, 7, 1.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 18 + 30 = 0. What is the derivative of 7*i + 21*i + 5*i**2 - 6*i**w - 12 wrt i?\nAnswer: -2*i + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3 + sqrt(1053))*-5 + -4)**2 - ((sqrt(1053) + 2*(sqrt(1053) + -1*sqrt(1053)) - sqrt(1053)) + sqrt(1053) + (3 + sqrt(1053))*-6).\nAnswer: 855*sqrt(13) + 26424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 444229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 5*g. Let d be c(5). Suppose 5*a + 250000 = 3*w, -2*a + w + 46227 - 146227 = d. What is a rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 82 = 8. What is the smallest common multiple of i and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -144157.89.\nAnswer: 72078.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 845410796 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 2. Let x = -626 - -627. Suppose 4*p - 46 = 5*v - 5, p = -2*v + 7. Solve -c*i = x - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.059 - -0.127. Let j = n + -0.0602. Round j to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1100)\/(-176) - (-2)\/((-16)\/(-6)). Solve -5*g - p - 15 = -h, -3*g + 5*h = 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = -845 + 2341. What is the greatest common divisor of 64 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10520239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004024211 rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24332)\/(-79) + (-44)\/(-2). Sort -5, 4, -3, b in increasing order.\nAnswer: -5, -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 1605 + 375. Let r = k - -417. Suppose 0 = 3*x - 0*x - r. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 2}. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 4:07 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/338 and ((-1)\/(2 + -4))\/(2314\/(-3293)).\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -50*c + 7. Let z be 7 + -1 - (1 + 2). Suppose -z*i - 7 = 11. Is a(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.009 - -0.309. Let v = -18 - s. Which is the closest to 1\/3? (a) 1\/5 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134385 is divided by 454.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*5 + 21 + -16. Suppose 0 = -4*r - a + 12. Put r, -6, -4, -2 in increasing order.\nAnswer: -6, -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14064)\/209202)\/(4\/7).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2132 and 5984073?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w - 363. Let r be 248\/32*(-3 + 7). Let h be b(r). Let v be 1 + -2 + 73\/1. What is the highest common factor of h and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from bpwjssd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 1, z: 1, n: 3, k: 4}. Give prob of sequence kkz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/51)*o**21\/o)**24 assuming o is positive.\nAnswer: o**(8552\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101084 is divided by 779.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233539*w = -233544*w - 5*x + 90, -w + x = 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-3 + (-62)\/(-14)). Let d = z - 153\/28. What is the third smallest value in d, -4, 2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:01 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let m be (-74)\/(-2) - (3 - 1). Suppose -2*v = 3*v - m. Give x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*1*sqrt(153) + 1 + 4)*5*4)**2.\nAnswer: -288000*sqrt(17) + 8852800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4\/2 + 182*n**3 - 16743*n**2 + 32942*n - 32761\/2 = 0.\nAnswer: 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1099 in -0.1, 2\/3, 3\/7, -0.089?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 + 8*g**3 + 14*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-85085)*-340)\/((-2)\/481)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -4\/9, 0.145, -1\/4, 0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -490 + 493. Solve 6*u - 4 = 4*u + 3*t, -u + y*t = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*v - 12, 2*v + 13*s - 20 = 16*s. Solve -5*x + 0*l + 12 = 4*l, -x - v*l - 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 29 = -3*r, -107*r - 5*b + 53 = 107*r - 217*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254397822 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 109*w + 11687. Determine f(-107).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**23*b)\/(b\/b**(-3\/5)))**48 assuming b is positive.\nAnswer: b**(5376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*4*((-4 + sqrt(539)*2 - sqrt(539)) + ((sqrt(539) + -1)*3 - sqrt(539))))**2 + -3.\nAnswer: -2940000*sqrt(11) + 48999997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034*10\/20 + 8 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193*-1.273\nAnswer: -245.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, t: 1, s: 2, z: 3}. Give prob of picking 1 s, 1 z, and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 96 + 219 + 2*t + 43 - 13*t**2 + 9*t**2. Let j(x) = 2*x - 4. Let b be j(2). Is n(b) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -58*i**2. Let p(l) = 14*l - 42. Let b be p(3). Let y(m) = 10*m - m + b*m - 5*m. Calculate n(y(o)).\nAnswer: -928*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z = 40*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i + 2*h - 8, 69 = 3*i - 3*h. What is the greatest common factor of i and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12082 + 12085 - 24186 - 60*w to l + p*w and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1433265*x**2. Let t(w) = -137*w. Calculate t(v(i)).\nAnswer: 196357305*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 390 - 125 + 7*g - g**2 - 142 + 4*g - 141. Calculate o(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**2 + 263*u - 11. Let b(h) = -4*h**2 - 88*h + 4. Determine 17*b(w) + 6*k(w).\nAnswer: -2*w**2 + 82*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15964 + 4346 = 640*o - 4142 - 1788 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -v + 35. Let o be 6\/(-56)*(11 + -2 + v). Which is the third biggest value? (a) -0.5 (b) o (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 25. Let w(h) = -h**2 + h - 12. Let i be w(0). Does 4 divide t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -x - 3*o, -33 = -2*x + 2*o + 23. Solve x*g - 14 = 24*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**2*w**3*x - 4*u**2*w*x - 2*u**2*x - 2*u*w**3*x - u*w**3 + 16*u wrt u.\nAnswer: 4*w**3*x - 8*w*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*x - 9*x - 12, -d = 4*x - 32. What is the remainder when 61 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424787 and 19044.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:37 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let g(c) = c**3 + 4*c**2 + c - 1. Let f be (-5 + 0 - 1)\/((-3)\/(-2)). Let j be g(f). Sort y, j, 4 in ascending order.\nAnswer: j, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Suppose k*g - 27 = -p, 3*g + 7 = -4*p + 6*g. Suppose -4*y = x - 0*y + 14, 5*x + 2*y = p. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/182)\/((-125)\/(-300)*36\/20)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 15 = 3*c + 2*x, 3*c - 5*x - 15 = 0. Let s be 0 - ((-2)\/(-5) - 27\/c). Let y = -16 - -10. Sort y, s, 4 in descending order.\nAnswer: s, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 32. Let u = -23.0036 - b. Round u to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 57)\/(-2) - -1. Let h = -9 + i. Let u be h\/(-4) + (-2)\/(-8). Let k(c) = -3*c - 6. What is k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317128825 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 6, h: 3}. What is prob of picking 2 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = -1, -4*o + 5 = -z. Let u be (2 - 22)*o\/4. Let x = u + 20. Solve -4*a - 1 - 4 = 3*l, 0 = 2*l - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)**(2\/143))**(-1\/2) assuming a is positive.\nAnswer: a**(-2\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -12*m + 36. Suppose m*h - 3*j - 180 = 27, h = 5*j + 49. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r - 254 = -5*s, 4*r = -4. Calculate the highest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + -1 - (-1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/51 - (-1328)\/272.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-42)\/12*(-92)\/4830)\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.92 + 27. Put p, -1\/3, 0.2 in decreasing order.\nAnswer: 0.2, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:19 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 59*f**3 - 29*f**3)*(-5*f - f + 3*f).\nAnswer: -90*f**4 + 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -553.82252 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuaa when four letters picked without replacement from {y: 1, a: 3, h: 2, u: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -22, 6, 56, 134, 246?\n\"Answer: n**3 + 2*n**2 - n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 0 (c) 2 (d) -611 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:47 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 7*l + 3. What is the units digit of f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/20390525 and -29\/15.\nAnswer: 61171575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -11*c - 27 - 121 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1350178 and -97\/22.\nAnswer: 14851958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.8 take away 1.7267?\nAnswer: -327.5267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:00 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.065*1248.3.\nAnswer: 81.1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015714 to 5 decimal places.\nAnswer: 0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -177229.7536 to the nearest 1000.\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 519287.1 micrometers?\nAnswer: 519287100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10056 - -0.1. Round p to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 0 (c) -10\/9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*n + 512 = 0, 3*w - 2*n = 102 + 275. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6808.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4\/7 + 108*t**3 - 32936*t**2\/7 + 150576*t\/7 - 25056 = 0.\nAnswer: 2, 3, 58, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*f = 203*f - 13224. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/(-3)*-2)\/((-823)\/(-823)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*b + 13*b**3 + 14*b**3 + 2*b**2 - 4*b to the form h*b + n + y*b**2 + a*b**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001 + 1?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -6, 2, 16?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 25. Suppose -4*v + d - 483 = -502, -4*v - 5*d + 49 = 0. Solve h*k + z = 14, 17 = v*k - k - 2*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 869.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = k + 27, -4*k - 3*a - 43 = 14. Let o be -36*(-4 + 76\/16). Is 8\/3*o\/k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913.876 rounded to the nearest 10?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose -o - 6 = -v*o. Let y be (-2)\/o - 12\/(-18). Put -2, -5, y in descending order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001101110 (base 2) to base 5\nAnswer: 32113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + a**3 - 2*a**3 + (-2*a**2 + 2*a**2 - 2*a**2)*(-4*a + 0*a + 5*a) + a**3 + 2*a**3 - 4*a**3 to the form j*a**3 + u + g*a + f*a**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 * -6.03\nAnswer: 0.03015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/13 in -2, 1\/3, 2753, 1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/14*(-147)\/126?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3) + ((-1122)\/(-24))\/(-17)*-4. Let k(z) = 11*z - 63. What is k(w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 69?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -1714*u**3\/15 - 15428*u**2\/15 - 6*u\/5 = 0.\nAnswer: -9, -1\/857, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.7, 1\/3, 0, -3\/4, 1\/5 in ascending order.\nAnswer: -9.7, -3\/4, 0, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuwwwnnwnninun. What is prob of picking 2 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.032 + 0.068. Which is the second biggest value? (a) 0.2 (b) f (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i**(2\/9))**(1\/15))**50)**(-3\/10) assuming i is positive.\nAnswer: i**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/2 + 65*o**2\/2 + 130*o + 150.\nAnswer: 5*(o + 2)*(o + 5)*(o + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1304, -2767, -4414, -6245, -8260, -10459?\nAnswer: -12842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6858 - 31*u + 6858)*(-1 + 2*u**2 + 1).\nAnswer: -62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 12. Suppose 0 = -4*h + p - 1. Which is bigger: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*s**3 - 90*s**2 - 202*s**2 - 38*s**2 + 2*s + 677*s**2 to the form k*s + p*s**3 + l + j*s**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:19 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 342\/12*(-16)\/(-6). Let v = -35 + u. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 0*v**2 + 0*v**2 + (-2*v - 4 + 4)*(0 + 4*v + 0))*(v**2 - 9*v**2 - 10*v**2) to m*v**4 + f + b*v + u*v**2 + s*v**3 and give m.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39111406 * -0.07.\nAnswer: 2737798.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5354, 1, 3\/5, -0.1, 1\/51 in descending order.\nAnswer: 5354, 1, 3\/5, 1\/51, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 4*r**6\/5 + 9*r**5\/10 - r**4\/4 + 31*r**2 - 550*r + 1. What is the third derivative of q(g) wrt g?\nAnswer: 576*g + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 5*m**2 - 6*m - 4. Suppose t + t + 4*p + 2 = 0, 14 = 2*t - 4*p. Let l = t - -3. What is j(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/27 and -17\/63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 35*x**2 - 291*x + 179. What is w(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 18. What is the second derivative of -28*a**s + 2*a**5 + 10*a**3 + 2*a**5 - 48 + 0*a**3 + a wrt a?\nAnswer: 80*a**3 - 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 275796.03 months?\nAnswer: 22.9830025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0 - 3*q + 1\/4*q**4 + 0*q**3 + 0*q**2 + 1\/5*q**6 + 0*q**5. Find the third derivative of f(r) wrt r.\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501920.\nAnswer: 2, 5, 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.063 - -0.237. Let c = 28595528\/213 - 134252. Let w = 2\/71 + c. Which is bigger: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 2*y - 2 - 6*y. Let i(l) = -l - 14 - 10 + 51 - 18 - 10. Give -5*i(j) + 3*m(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53092*z = 53078*z + 322 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1868 = 4*p, -2*p = 2*c + 3*c - 916. Suppose 5*a - 3*r - 563 = 0, p = 4*a + 11*r - 9*r. Calculate the remainder when a is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than -12441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzmmz. Give prob of picking 2 z and 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2527 and 174496?\nAnswer: 3315424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -100*q + 485. Let s(g) = -400*g + 1919. Let d(w) = 18*a(w) - 4*s(w). What is the derivative of d(k) wrt k?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 13 = k, 0*s - 4*s - 4*k = 12. Suppose -2*t + 652 = -3*y + 139, -4*t = -s*y - 1014. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:16 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122878841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)\/(300\/1140).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3\/7 - 19623*j**2\/7 + 58830*j\/7 + 11208 = 0.\nAnswer: -1, 4, 6538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v - 70 = 0. Suppose -95 = -3*i - v. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 324*l + 151. Let c be w(-25). What is c rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8550350 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*g**2 - 38*g**2 + 165*g**2 + 4*g**2.\nAnswer: 375*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cb (base 13) in base 2?\nAnswer: -1111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*a**2 - 2 - 26*a**2 as i + f*a**2 + x*a and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -0.2, -3 in decreasing order.\nAnswer: 6\/7, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x**26)**(-6) assuming x is positive.\nAnswer: x**(-1104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 37. Let d be 39\/65 + a\/10. Which is smaller: d or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**3 + 15*y**3 + 332*y**2 - 202*y**6 - 10*y**3 - 9*y**3 wrt y?\nAnswer: -24240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1960020 and 8?\nAnswer: 3920040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d + 60 + 38 = -14*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28282*-95.\nAnswer: 26.8679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1444, 1422, 1386, 1336, 1272, 1194, 1102?\n\"Answer: -7*g**2 - g + 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - a + 3 = 3*o, -4 = -4*a. Suppose -u + 4*g + o - 3 = 0, -u - 1 = g. Let s(i) = 0 - 1 - 7*i**3 - 2*i**2 + 0 - 2*i. Determine s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10968405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118\/3, -3\/5, -6.1.\nAnswer: -118\/3, -6.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x\/x**(3\/4)))\/x*x*x*x*x)**(-23)\/(x**(-5\/3)*x**(1\/7)))**(-2) assuming x is positive.\nAnswer: x**(7117\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5347 in 0.9, -3\/2, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 5:57 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -23. Suppose -2*b + b = -4*c - 3, 0 = -b + 3. Suppose c = -4*f - 5 + 113. Calculate the smallest common multiple of f and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221753 is divided by 324?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -4 (c) 4 (d) 3\/5 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j**2 - 2*j + 5*j**2 + 2*j in the form l*j + k + c*j**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 0 - 1) + 3. Let a = s - 2. Let j(g) = -g**2 + 1. Let n(u) be the first derivative of -4*u**3\/3 + u**2\/2 + 3*u - 572. What is a*j(d) + n(d)?\nAnswer: d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 485663?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093668.52 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111111010 (base 2) to base 3.\nAnswer: -10111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 8*t + 5. Let h be c(8). Suppose -h*a = -3*a. Is 0 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*t**4 - 56*t**3 + 5*t**2 + 15616.\nAnswer: -40*t**3 - 168*t**2 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a**3 - 2*a + 5. Does 9 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*v = 279 - 285, g + 18 = 5*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1605)\/(-3))\/(-3 - 16\/(-4)). Let f = -528 + o. Suppose 2*r - 13 = -5*l + 2*l, 18 = 3*l - 3*r. Calculate the remainder when f is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -5. Let w(b) = b**2 - 74*b - 834. Let v be w(-10). What is the third derivative of 22*s**2 + q*s**6 - 2*s**6 + 30*s**v - 3*s**6 wrt s?\nAnswer: 3960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/120 - v**4\/8 + 2*v**3\/3 + 4*v**2. Let a(f) be the first derivative of h(f). Find the first derivative of a(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 11 - 9 = -2*x, 2*k = 4*x - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -66, -144, -254, -396, -570, -776?\n\"Answer: -16*q**2 + 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 5, p: 1, h: 3, a: 7}. What is prob of picking 1 h and 1 a?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -28*c**2 - 3*c - 9. Let n(y) be the first derivative of -10*y**3\/3 - y**2\/2 - 3*y - 147. Let x(o) = 11*n(o) - 4*r(o). What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.115456978077 + 150668.085507978077. Let q = -150659.07 + b. Let y = q + -8.9. What is y rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 40 = 2*f. Let d = -4 + 8. Find the second derivative of m + 4*m**d - 2*m - m**f wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + t - 4. Let u(j) = -j**3 - 1. Suppose -w + 24 = 4*d, w = 39 - 31. Determine d*u(o) - z(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) - 1*sqrt(98))) + sqrt(8)*-1)**2 - (4*sqrt(2)*2 - (1 + sqrt(2))**2*-5).\nAnswer: -18*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 + -8 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 6*g**2 - 6*g + 7. Let i be s(-7). Suppose 0*z + z - 5 = i. What is the second smallest value in -2, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 45990 = 33*i. Let o = i + -642. What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -6, 323, 1, 5, -94\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0*l**2 - 1\/12*l**4 - 7*l - 1\/120*l**5 - 19\/6*l**3 + 0. Let f(h) be the second derivative of v(h). Calculate f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/54)\/((-12936)\/1584)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -391 (base 13) to base 7.\nAnswer: -1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150653293 is divided by 2593?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.26 + -3.16. Let l = 3 + p. Which is the second biggest value? (a) l (b) -1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 75 = 4*r, 177*r - 173*r + 85 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -184.8. What is the closest to f in 0.5, -1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74 times -0.1?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s + s + (-2*s - s + 4*s)*(3*s - 6*s + 2*s) + s - 3*s**2 + 8 - 10 + 0*s.\nAnswer: -3*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -2*l, 3*l - 5 + 28 = 5*o. Solve 3*t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2547 by -35.\nAnswer: 2547\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 6. Let q(k) = 4*k - 5. Let p(u) = 6*h(u) + 7*q(u). Let l be p(2). List the prime factors of (2 - 24\/l)*7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/11 - 277744*m**3\/11 - 9642438444*m**2\/11 + 19285710128*m\/11 - 9642993938\/11 = 0 for m.\nAnswer: -69437, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -739*f**3 - 855*f**2.\nAnswer: -4434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -1 + (-1)\/((-9)\/(-27)). Suppose 5*t + 224 = 4*k + 1004, -l*t = 3*k - 468. What is the remainder when t is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 3. Let s be j(-11). Let b = s + -17. Is 9 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*i**2 - 4)*(4*i + 21*i + 19*i).\nAnswer: -132*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-405)\/(-360))\/((18\/4)\/3))\/((-5)\/(-24))?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005119 rounded to five decimal places?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*q*r**3 + 13*q*r**2 - 2023*q wrt r?\nAnswer: -57*q*r**2 + 26*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-16)\/((-4)\/2). Let s = 9 - x. Solve -3*n - s = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2686?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516032, -1032135, -1548240, -2064347, -2580456?\nAnswer: -3096567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1081 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**9\/3024 - x**5\/40 + 5*x**3\/6 - 4*x. Let z(c) be the second derivative of b(c). Find the second derivative of z(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-11)\/(22\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(84)\/sqrt(4))\/sqrt(3))**2 - -2*sqrt(7)*1) - (sqrt(847) - 5*(sqrt(847) - sqrt(847)*-2) - -6*(1 + sqrt(847))**2)*4.\nAnswer: -20343 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2187469 and 11357.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3541 - -3544. What is the nearest to h in 0.2, 5, -2\/13, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314 - 602 = -29*g + 679 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263127 is divided by 263109.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 385061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454 + 4996\/11. Let i = 2 - 2. Let l = i - -0.2. Which is the third biggest value? (a) l (b) x (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 8. Let p be y(8). Suppose p*g + 339 = 3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1925\/(-10)*(-316)\/2765\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 64396.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b + 11 + 10*b - 9*b + 15)*(17 + 10 - 8) as v*b + d and give d.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + t**2 - t - 1. Suppose 0 = 13*j - 11*j - 5*u - 8, 0 = 3*j + 3*u - 12. Suppose 2*f - 5 = -3*f + 3*s, -j*s = 0. Give a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*o + 29*o - 13400 = 0. Is o at least as big as 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -1650\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 2 - (133 - (-43 - -32))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*b - 245*b = 174*b + 73*b - 17472 for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 344312 (base 5) to base 3\nAnswer: 122002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1872)*6)**2 - -5*(sqrt(1872)*1 - sqrt(1872)) - ((sqrt(1872) + -4*sqrt(1872) + -2 + 3)**2 + 4).\nAnswer: 72*sqrt(13) + 589675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 9097d4?\nAnswer: -9097cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/331963 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1211*g - 1587 + 14908 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/7 - 40*h**2\/7 - 74*h\/7 - 36\/7 = 0. Calculate h.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96492196 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1310927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*m - z, -2*m + 13*z + 24 = 12*z. Suppose -15*h + 78570 = -m*h. What is h rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 = -4*x - o + 97, 15*x = -26*x - 5*o - 1269 - 279 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 1919.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 399959184 a multiple of 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -2\/163, 3, 1\/4, 5, 187?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877098 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12013 - 5200?\nAnswer: -21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -30 + 24 - 2*z - 2*z. Does 15 divide u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -86\/11, -0.4, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 4*p**2 + 2*p - 3. Let f = 30868 + -30869. Let y(z) = -z**3 + z. What is f*y(t) + x(t)?\nAnswer: -t**3 + 4*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/3)\/s)\/s*s**(-5))\/(s**(-1))**(2\/75))**(1\/3) assuming s is positive.\nAnswer: s**(-191\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15184712 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 6*s - 10. Let q(n) = -8*n**2 + 7*n - 11. Give 5*q(v) - 6*w(v).\nAnswer: 2*v**2 - v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10955, -10956, -10957, -10958?\nAnswer: -10959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/165 + 7*j**4\/132 + j**3\/11 + 3*j**2. Factor p(a).\nAnswer: 2*(a + 3)*(2*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 4*t + 2. Let p be k(3). Let j(v) = 4*v - 8. Let s(g) = -g + 1. Let h(b) = j(b) + 3*s(b). Let z be h(p). Solve 0 = z*w - 2*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + -179. Let k = -201 - d. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504, -1001, -1504, -2013, -2528?\nAnswer: -3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5028 and 344418.\nAnswer: 688836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -364, -434, -532?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12289389.\nAnswer: 3, 7, 761, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**4 + 11*i**3 + 48*i**2 + 69*i + 32. Let y(v) = -v**4 + v**3 - v. Let p(b) = -2*j(b) - 10*y(b). Factor p(k).\nAnswer: -4*(k + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - 5*(-1 + sqrt(684)))*3)**2 - ((sqrt(76) + -4*-2*sqrt(76))\/(sqrt(484) + -2*sqrt(484)))**2.\nAnswer: -2160*sqrt(19) + 11943702\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2\/15, 0.2, 50\/147, 0.5, -0.4?\nAnswer: 50\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) 0 (c) -0.02 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 679, 1325, 1957, 2569, 3155, 3709, 4225?\n\"Answer: -m**3 - m**2 + 656*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*n + 9 = 0, 0*b + 4*b = 3*n + 11. Let h be 1\/(b\/(-84))*-6. What is the highest common divisor of h and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4211953 or -4211946?\nAnswer: -4211946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 3*i - 5*i + 4*i + 2*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*12\/(-60))\/(2\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 1, w: 5, f: 6}. What is prob of sequence wkkk?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or 75775?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35714 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/7*c**5 + 309104\/7*c**3 + 32157432\/7 + 16992648\/7*c**2 + 1920\/7*c**4 + 6977556*c = 0. What is c?\nAnswer: -159, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(204) - -2*sqrt(204)))\/(sqrt(12)*1*-3).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*c + 10, -3*f + 44992 - 44991 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-400))\/(1\/12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249 = 10*k + 2146 - 4195 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12242149 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 15. Solve 3*j - m = -1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 42. Let x = 24 + 4. What is the remainder when g is divided by x\/(2 - 0) - 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45020997*l*s**3 - 3*l*s + 1496*l + 9*s - 10 wrt s.\nAnswer: 270125982*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 217908*p - 2832765. Give f(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 760 and 8964504.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308016 and 1196.\nAnswer: 4004208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 79436131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:58 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3269, 3270, 3271?\n\"Answer: l + 3268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580165747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -51, -88, -141?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -2186123, -8 in decreasing order.\nAnswer: 1.8, -8, -2186123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012120 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1924\/28 + 4\/14. Calculate the highest common factor of 46 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**3\/3 - 3*k - 1. Let a(r) = -r. Let w be a(-4). Let i = w - 1. Let g(u) = 2*u**2 - 2. Determine i*g(d) - 2*c(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500134533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euy when three letters picked without replacement from vvyvuvuvruey?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:24 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6.5. Let u = -60181 - -60181.51. What is the biggest value in 1, u, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 335. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -2*j + 2*z + 16, -3*z = 5*j - 21. What are the prime factors of (-6)\/5*(-340)\/j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126605\/1835 - 2276\/(-417646)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -13 + -46 + 18 + 33 + 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906 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: Collect the terms in -15*t**2 - 18*t**2 - 12*t**2 + 52*t**2 - 10*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, 2, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 - 142. Suppose -197 = -8*f + i. Is f > 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 69*m + 28 + 40 - 101 + 33. Let f(b) = 656*b. Determine -5*f(k) + 48*l(k).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2 + sqrt(153) + -5)*5*5.\nAnswer: -125 + 225*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - (-1*sqrt(70) + sqrt(70) - sqrt(70)))*4)\/(sqrt(42)\/(sqrt(12)\/sqrt(2))))\/((sqrt(45)\/sqrt(9) + sqrt(5))*5 - (sqrt(405) + sqrt(405)*-2)).\nAnswer: 8*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1184 = 2*w, -2*i + 3*w + 229 = -i. Let x(r) = -3*r**3 + 17*r**2 + 14*r - 90. Calculate the remainder when i is divided by x(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, -14, -6 in increasing order.\nAnswer: -227, -14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = 4*f - 3, -v = -3*f + 17. Let b be 0 + (-2 + v - -1). Let z be -2 + b + 4 - -3. Calculate the highest common factor of z and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/49523754 and -41\/114?\nAnswer: 940951326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5590 + -5588. Let k(b) be the first derivative of b**2\/2 + 4*b + 1. Let f be k(-3). Sort -2, f, g in ascending order.\nAnswer: -2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/3 - 11*i**2\/2 - 10*i - 56. What is u(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 6\/(-5) - (-19 - 504\/(-30)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154551 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**3 - 2*b + 2*b)*(-6 + 17 - 27) to the form v + x*b**3 + r*b + c*b**2 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 121.\nAnswer: -5, -3, -1, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5314421.999998 + -5314416. Let s = 1 + 5. Let f = y - s. Round f to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let i(q) = 6*q - 1. Let s(x) = -i(x) - 2*m(x). Suppose 0 = 72*r - 39*r - 39*r - 18. Let u(k) = -k**2 - k + 1. Give r*u(j) + s(j).\nAnswer: 3*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81812, 161456, 241086, 320696, 400280, 479832, 559346?\nAnswer: 638816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 37694.8787 to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 179 - -2?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -26, -1, 26, 55, 86?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -0.5, 0.4, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 2101330?\nAnswer: -2101314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -68095060 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, z: 4}. What is prob of sequence uuz?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 90*a + 42. Let o(k) = -13*k - 6. Let m(q) = -4*d(q) - 27*o(q). Let s be m(-7). Let b = -38 + s. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 22)*(-3 + l + 3)*(3*l**3 + l**3 + 0*l**3) - 3*l**4 - 3*l**4 - 6*l**4.\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 19. Let o = 12 - x. Let c(q) = q + 1. What is the remainder when o is divided by c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -32*z**2 + 0 + 8\/3*z**3 - 1\/12*z**4 - 5*z. Solve y(c) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 506970578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 3*l + l)*(-2*l**3 + 7*l**2 + l**3 - 8*l**2) + (-3*l**4 - 3*l**4 + 5*l**4)*(2 - 1 + 3) as o*l**2 + b*l**3 + j + h*l**4 + x*l and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14619841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12*(-84)\/8*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 14.60460444?\nAnswer: -13.60460444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Sort -4, c, 1.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -29*h**4\/8 - 7*h**3\/6 - 23*h**2. What are the prime factors of l(-2)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from aiivtrtvitt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32853 = -32*b + 33077 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23694 and 708.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*v + 8*o - 9, 12 = 3*v - o. Suppose 2*l + 5*f - 7007 = 0, -v*l + 0*f - 2*f = -10527. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-4))\/((-36)\/96). Let c(j) = j + 4 + j - 5*j. Let w(f) = f - 1. Let m(d) = p*w(d) + c(d). What is the first derivative of m(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7062905, -28251609, -63566111, -113006411?\n\"Answer: -7062899*v**2 - 7*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/129*363*-1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -14 - 5 - 3 + 7 + 220*z - 212*z. What is l(-7)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 2*s**2 - 2*s - 5. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -1 - -1)\/(-35*61\/39955)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18663818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and -18.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72540085.\nAnswer: 5, 239, 60703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549834 by 15.\nAnswer: -183278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3449 - -3989. Solve -4*a + 556 = f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 31232?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8130 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 3*j**2 - 2*j - 1. Let q be b(-3). Suppose s = -q*s + 78. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -651, 1, 19 in increasing order.\nAnswer: -651, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18250576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -3*w. What is the third derivative of 8*n**4 - 8*n**4 - 4*n**w + 4*n**2 wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + i + 3*u = 10, -2*u - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c - 1. Let q(a) = -5*a + 1. Determine 11*q(h) + 6*r(h).\nAnswer: 17*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8 - 32*n**3 + 39*n**3 + 3*n - 3*n + 4*n**2. Let v(w) = 8*w**3 + 5*w**2 + 9. Let b(s) = 5*r(s) - 4*v(s). What is the derivative of b(o) wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12992 and 7840.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = 43*y + 17*y - 42*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, l: 5, u: 2}. Give prob of picking 3 l and 1 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -16*i**3 - 3*i + i**2 + 4*i**3 - 9*i + 11*i**3. What is w(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(3*v + v - v)*(-v + 3*v + 0*v - 4*v**3).\nAnswer: 12*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6329, -25164, -56549, -100478, -156945, -225944, -307469, -401514?\nAnswer: -508073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108 and 0.5145.\nAnswer: -55.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1719 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*o - 2)*(-28 + 11 - 12).\nAnswer: 116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 8*b - 4 = 0. Let w be 12\/(3 - b) + 3. Calculate the greatest common factor of w and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -679 - -663. Suppose 32*y = 26*y + 18. Let x = 0 + -0.2. Put z, -3, x, y in descending order.\nAnswer: y, x, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16348)\/(-134)*(-110)\/(-4).\nAnswer: 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*t + 58 - 14 = 0, 2*q + 3*t - 229 = -195 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68602449 and 4.\nAnswer: 274409796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 3)**2 + -2 + (sqrt(68) - (sqrt(68) + 4*(-3 + sqrt(68) - sqrt(68)))**2 - sqrt(68)) + sqrt(68).\nAnswer: -137 + 62*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 29*r - 6. Determine x(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30964, -30962, -30960?\nAnswer: -30958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-14))\/(5\/15650). Let d = -741 + p. List the prime factors of d.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let d = -1213 + 1213.02. Which is the nearest to m? (a) -0.3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -120629063, -120629055, -120629047, -120629039, -120629031?\n\"Answer: 8*f - 120629071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -438.6 take away -3380711?\nAnswer: 3380272.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 17. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s - 59. What is the least common multiple of 56 and h(-7)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -18, -60, -154, -318, -570, -928?\n\"Answer: -3*p**3 + p**2 + 10*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 8. Let p(v) = -7*v**2 - 11*v**2 + 17*v**2. What is p(g(k))?\nAnswer: -9*k**4 + 48*k**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -168 and 1.9.\nAnswer: -319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5172 - 4963.7. Let f = 21 - -200. Let q = s - f. What is q rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*j**2 + 3*j**3 - 108*j**2 + 0*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 43843.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (sqrt(147) - ((2 + sqrt(147))*-2 - sqrt(147)) - sqrt(147)))**2 - (sqrt(36) + sqrt(1764)*1)\/(sqrt(144)\/sqrt(588)).\nAnswer: -98*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 3, 0.8 in decreasing order.\nAnswer: 3, 0.8, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -67. Suppose g = -4*t + 6305, -3*g = -o*g + 3*t + 12588. Is g\/(0 - -1 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122075*l*r*y - l*r + r*y + 274*r + 78*y - 1 wrt l?\nAnswer: 122075*r*y - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**7\/210 + 7*i**3\/6 + 4*i**2. What is the first derivative of u(l) wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3460094*c + 3460162*c + 8500 for c.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 504 - 77*d - 504 + 1036*d to the form k + j*d and give j.\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9965, -10457, -11295, -12485, -14033?\n\"Answer: -n**3 - 167*n**2 + 16*n - 9813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:28 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/6 - 7*z**2 - 7*z. Let n(v) = 4*v**2 - 2848 - 3*v**2 + 2848 - 3*v**2. What is l(n(f))?\nAnswer: 2*f**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1661*c + 1080*c - 3096*c - 2355*c.\nAnswer: -6032*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/19 + 424*g**2\/19 + 98842*g\/19 - 99264\/19 = 0.\nAnswer: -141, 1, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.4, -16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 85*t**2 - 83*t + 341. Let y be p(84). What is the highest common divisor of y and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - 10\/25. Let w be z\/(1*-2 - 1). Suppose -h = -w*h - 2. What is the least common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278701.\nAnswer: 1278701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*s*v**3*w + 42*s*v - 2*s*w + 7*v**2*w + 4*v*w wrt v.\nAnswer: -678*s*v*w + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - m**3\/6 - m**2\/2 - 1892*m. Let y(d) = -11*d**2 + 6*d + 6. What is -30*c(h) - 5*y(h)?\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -19. Suppose 2*y - 4 = -3*v, 3*v - 5*y = -2*v + 15. Suppose k - p = -v. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.6? (a) 2 (b) -5 (c) -2 (d) 1163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 1\/3 (c) -0.2 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -293 + 153 + 52 + 5*l**2 in the form i*l + c*l**2 + b and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 1, v: 3, s: 7}. Give prob of picking 1 s and 1 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let p(i) = -9*i**2 + 4. Let w = -127 - -131. Let n(z) = -3*z**2 + 9*z**2 + 4*z**2 - 5. Let j(c) = w*n(c) + 5*p(c). Give j(l(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -55.2. Let x = 3 + 5. Let a = 11 - x. What is the third biggest value in -2\/9, n, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106\/141 - -4\/47. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.37814ns to milliseconds.\nAnswer: 0.00000437814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/34 and 41\/1142?\nAnswer: 19414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 - 8*s + 4. Let r be m(9). Suppose -r = -5*p - 3. Suppose 0 = -3*g + 94 + p. Calculate the highest common factor of g and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1089 and 174141?\nAnswer: 1915551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {d: 2, n: 1, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 2. Let o(u) = h - 15*u + 6 + 13*u. Let v(s) = -s + 4. What is 4*o(i) - 7*v(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 + 51*h**3 - 213*h**2 + 165*h = 0.\nAnswer: 0, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 3*z**2 + 2*z - 3. Does 10 divide a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-8) - 2\/(-4). Let u(w) = w**3 + 5*w**2 - 9*w - 13. Let d be u(h). Differentiate -d*a**2 + 6 - 1 - 6 + 0 with respect to a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.3 + 6369488627.\nAnswer: 6369488611.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3*n - 6)*(0 - 1 + 0) - n + 2*n + 0*n to p + i*n and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 3, o: 8, l: 3, p: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (-3*sqrt(7)*-4 + 3*sqrt(7)*-5 - sqrt(28)\/((sqrt(96)\/sqrt(4))\/sqrt(6)))).\nAnswer: 5 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 75. Let b be x(28). Suppose -u - 28 = 3*q, 4*u + 2*q + 85 = -q. Is u at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 2. Suppose -y = w*y - 1017. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*sqrt(133)*2)\/(sqrt(700) + -2*sqrt(700)).\nAnswer: 3 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*t - 146*t + 4*o - 19 = 0, 2*t + 5*o = -1. Suppose -26 = -u - u. Is u at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4869*o**4 + 42*o**2 - 149*o**2 - 4869*o**4 - 157*o**6 wrt o.\nAnswer: -18840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 11*s**2 - 11*s - 32. Let q be c(10). Suppose -m = 3*m - 192. Calculate the remainder when m is divided by (3 + (-4 - 1))*q\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6894803 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*a - 6, -8 = 2*x + 368*a - 370*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -75. Let i = -40 - g. Sort i, 2\/5, 1.2, 1 in decreasing order.\nAnswer: i, 1.2, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14954 * -69.\nAnswer: -1031826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17937 + -17953.993. Let f = i + 17. What is f rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 274?\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 4*l**2 + l**2. Let b be (-2)\/5 + (-448)\/(-20). Let x(o) = o - 11. Let n(q) = 2. Let k(g) = b*n(g) + 4*x(g). What is i(k(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9*-15)\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 172 - 37?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let u(t) be the second derivative of -t**4\/12 - 2*t**3 - 14*t. Determine u(w(b)).\nAnswer: -b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/69 and 61\/684.\nAnswer: 15732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8211047 millilitres in litres?\nAnswer: 0.0008211047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(125)*-1 + sqrt(125) + (-2 + 1*sqrt(125))**2 + sqrt(125) + sqrt(125) - (5 + (1 + sqrt(125))**2)*-4) + 4).\nAnswer: 90*sqrt(5) + 1974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 4, c: 3}. What is prob of picking 1 c and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -305 + 1718. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8586229 - 8591696.7506. Let w = 5465.4406129 + p. Let x = 2.31 + w. Round x to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -378521*r - 192553?\nAnswer: -378521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/7)\/((-51)\/1071). Let l(y) = -7*y**3 - y**2 + 3*y - 23. What is the units digit of l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4)\/i*i)\/i*i*i**(-1\/3)*((i*i\/i**(1\/4))\/i)**31)**(-3) assuming i is positive.\nAnswer: i**(-139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468135624?\nAnswer: 2, 19, 67, 144161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = -4*k + 24, 0 = 4*c - k - 15. Suppose c*f + s = -0*s + 134, -4*s = 4*f - 140. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5099 divided by 1\nAnswer: 5099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*j**3 - 6895*b**2*j**2*r + b**2*j + b*j**3*r - 3*b*j**2*r + b*j*r + 5*b*j - 6*b*r wrt b.\nAnswer: -6*j**3 - 13790*j**2*r + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87314984 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z = -48*z. Which is smaller: 2\/37 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 52528*r + 172449424.\nAnswer: 4*(r + 6566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gppccpcpbgepbpcbcnee. Give prob of sequence gp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 249127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000167440785 rounded to 6 decimal places?\nAnswer: 0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 7. Let n be w(-5). Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1643 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -265. Let w = 125.1 - i. Sort 4, 1, -1, w.\nAnswer: -1, w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -418.03715 + -0.06285. Let j = -413 - n. What is the smallest value in j, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269451?\nAnswer: 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 3)*(w + 3*w - w + 2*w - w + 0*w + (-4*w + 5*w - 3*w)*(-2 + 3 - 2) + (w + 0 + 0)*(0 + 2 - 4)) to the form y*w + p and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(280)\/sqrt(7)*1)\/sqrt(5) + (-3*(sqrt(2)*5 - sqrt(2)))**2 + sqrt(18)*-1.\nAnswer: -sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v. Let a(j) = j - 17. Give a(t(u)).\nAnswer: 5*u - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 + 4*h - 5*h - 3 + 5*h**2. Does 20 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 43*z - 173. Let l be i(4). Let a be ((-10 - 239) + l)*704*20. Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4430.00002669 - -4430. Round d to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1199 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1578880 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 1\/4 (c) -2\/243 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5370 - -5264. Which is the closest to r? (a) -2\/5 (b) -1\/14 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4, -6, -0.243?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6540*g + 104644. Determine n(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.08. Let o = v - 0.22. Let l = 0.3008 + o. What is l rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from jbbftjvf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/174040 and 97\/304?\nAnswer: 348080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/15)*u**22 assuming u is positive.\nAnswer: u**(331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2087, 4, -6, -21.\nAnswer: -21, -6, 4, 2087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 = 3*i, 0 = -i - 2*q - q - 6. Let r = i + 1. Let l(u) be the first derivative of u**4\/2 + 2*u**3\/3 - u**2 - 4. What is l(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5534, -2208, 3332, 11080, 21030, 33176, 47512, 64032?\nAnswer: 82730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 1694*p - 50 - 81 - 104 - 1689*p.\nAnswer: 5*p - 217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69, 157, 227, 285, 337, 389?\n\"Answer: b**3 - 15*b**2 + 126*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99198816 or 297596449\/3?\nAnswer: 297596449\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 1, w: 2, x: 1}. What is prob of picking 1 x, 1 d, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {v: 5, n: 4, e: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/50244 and 41\/15?\nAnswer: 251220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 0.006, 4, 0.1, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110221011220 + -20?\nAnswer: -110221012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-56)*(-8)\/(-3). Let h be (-91)\/(-13) - (0 + 1). Let q be (h\/3)\/(-5 + 1). What is the smallest value in m, q, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4182555 by 267.\nAnswer: 15665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38451626 to the nearest integer?\nAnswer: 6201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10483\/3 or -3495?\nAnswer: -3495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvtdutx. What is prob of sequence tvtu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/42 + 7\/((-147)\/(-510)). Suppose k*w - 28*w = -128. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -134227 = -134175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5442*z**2 - 5292*z**2 + 3512*z**2.\nAnswer: -7222*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76.981 + -77. Let v = -1.019 - j. Which is the second biggest value? (a) v (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*t**2 - 126*t**2 + 253*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from cgcjnlz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240 or -238?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/42 + 111*i**5\/20 + 23*i**3\/3 + 3*i + 8. Find the second derivative of x(r) wrt r.\nAnswer: 20*r**3 + 666*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -31, -43, -71, -121, -199, -311, -463?\n\"Answer: -i**3 + i**2 + 2*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(209)*-2*-6)\/((6*sqrt(165)\/sqrt(3) + sqrt(55))\/sqrt(5)).\nAnswer: -36*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 37 = 127. What is the least common multiple of y and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 - 2*h**2 - 8*h - 8. Calculate b(-4).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(155\/(-30) - -5). What is the greatest common factor of 28 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = 14. Let x be (((-15)\/c)\/(-5))\/(6\/(-1356)). Suppose -5*p = -4*v - 572, 2*v = -4*p - x + 581. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + l - 5 = 0, -13 + 2 = -f - 3*l. Let 8\/9 + 10*w**f - 56\/9*w**3 - 98\/9*w**4 + 56\/9*w = 0. Calculate w.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 + -321539?\nAnswer: -321532.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 1\/4*q**4 - 39 + 4\/3*q**3 - q + 1\/2*q**2. Give w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 30.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 9.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -32*a**2. Let w = -1427 + 1427. Let l(u) be the first derivative of 36 + 1\/2*u**2 + w*u. Determine j(l(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1129 + -1125. What is the third biggest value in -3, 3\/14, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1495 = 135. Suppose 8*x - z = 6*x. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k*m**4 - k*m**3 - k*m**2 - 3*k*m - 2*m**4 + 393*m**3 + 543*m**2 - 16*m wrt m?\nAnswer: 72*k*m - 6*k - 48*m + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38384 - 38384.031. What is the closest to -3 in z, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0 - 1\/6*b**3 + 0*b**2 - 3*b. Let y(t) = -2*t**2. What is y(x(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2287.07 + -2278.07. Let o = 8 - 4. Put d, 2\/3, o in ascending order.\nAnswer: 2\/3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g, -2*r - 18 = -r - g. Let p = r - -52. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22746 - 206407?\nAnswer: -163441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**7\/504 + l**6\/360 - l**5\/60 - 5*l**4\/6 - 4*l. Let j(r) be the third derivative of t(r). Determine j(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331671, -331689, -331727, -331791, -331887?\n\"Answer: -j**3 - 4*j**2 + j - 331667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 253480908.\nAnswer: 253480908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(162)*-1)\/((sqrt(72)*4 - sqrt(72))\/sqrt(12) + (sqrt(216) - 4*sqrt(216)) + sqrt(6)).\nAnswer: 12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0*12\/(-60))\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2*n + 7. Let j be z(4). Let r = 0 + 0. Sort j, r, 1.\nAnswer: j, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 779? (a) 0 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)\/b*b*b*b**(-7))**(7\/6) assuming b is positive.\nAnswer: b**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 2*g - 2 + 4*g + 1. Let c(k) = 12*k - 6. Let w(x) = -c(x) + 15*y(x). Differentiate w(r) with respect to r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 28 - 19. Let i = 36.7 + -38.7. Let l = -0.6 - -4.6. Which is the closest to 0.1? (a) i (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15085 + -15121. Which is the closest to 1? (a) k (b) 1 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkuvvkvkukluvvvvulu. What is prob of sequence lk?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 - a**3 - 3*a**3 + 3*a**3 - 3*a**3 - a**3 + (-4*a + 2*a + 3*a)*(7*a**2 + 5*a**2 - 3*a**2) to the form m + f*a + o*a**2 + p*a**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1218, 1219, 1220, 1221, 1222, 1223?\n\"Answer: k + 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 + -7) - (-2 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*p**2 + 94*p**3 + 225*p**3 + 234*p**2.\nAnswer: 319*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a - a**3 + a - a**3 + 0*a to l*a + f*a**3 + s*a**2 + n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 a when four letters picked without replacement from gaaaagggaa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 3060500.\nAnswer: 27544500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*r + 144, 3*h + 0*r + 4*r + 432 = 0. Let l = 229 + h. Let y be 40 - ((-18576)\/(-2838) + (-12)\/22). What is the highest common factor of l and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-29)\/145)\/(12\/10 + 0). Let o = -0.5 + 1. What is the nearest to t in 1, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3 - 53*o + 101*o + 2*o**2 + 32 + 22*o**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6429*g*h**3 - 3100*g*h + 2*h**2 wrt h?\nAnswer: -38574*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41.2, 2.6, -2\/5.\nAnswer: -2\/5, 2.6, 41.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 521386520 to the nearest one million.\nAnswer: 521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 11*n**2 + 41 + 92 + 99 as j*n**2 + t + c*n and give t.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (496\/(-24))\/((-1)\/3). Suppose 203 = 5*q - d. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:46 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6419062, -6419064, -6419066?\n\"Answer: -2*t - 6419060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 929.06 - 929. Let d = -2.65 - -2.45. What is the second biggest value in k, 1, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/20*(-15)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 387. Calculate b(19).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:03 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10 - 10 + 8*w. Let a(o) = o + 6. Let g(s) = -1. Let z(l) = -a(l) - 6*g(l). Determine z(m(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 76 - h**2 + 18*h in the form n*h**2 + a*h + i and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -8) + 9 + 0 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.95296964 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -68. Let c(v) = z*v + 8*v + 3*v - 9*v. Let g(k) = 2*k. Calculate c(g(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1380089 plus 4?\nAnswer: 3.8619911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83601686789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 548 + -544. Find the second derivative of -54 - 29*p**g + p**5 - 5*p + 78*p**4 + 4*p wrt p.\nAnswer: 20*p**3 + 588*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7*s + 12*s - 3*s)*(0 - 2 + 0)*(-1 - 1 + 1) as m + o*s and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204.5 - -205. Which is the smallest value? (a) 9 (b) -2\/3 (c) 2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 60227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2491.112 and -5?\nAnswer: -12455.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 357399098*d*n - 757319311*d with respect to n.\nAnswer: 357399098*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 2*l. Let u(y) = -22*y**2 - 9*y. Let k(s) = -18*d(s) + 4*u(s). Let q(i) = 41*i**2. Determine k(q(j)).\nAnswer: 3362*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 872 + 2098 + 2965*f + 1774*f**2 - 1779*f**2 = 0.\nAnswer: -1, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1. Let k(a) = a - 3. Suppose 0 = 2*j - 4*p - 18, 2*j - 2 = 2*p + 6. Let d(q) = j*k(q) + 4*v(q). What is d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 20. Suppose r = -4*f - 12, -4*r - 3*f - 69 = -8*f. Let a be r\/6*((-9)\/6 + 0). Solve -2*t = 2*s + 14, 0 = -t - a*t + m*s - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1107 and -10\/393.\nAnswer: 145017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101001 (base 2) to base 15.\nAnswer: 5d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/(r\/((r*r\/(r\/(r\/(r**(-1\/4)\/r))))\/r)))\/(r**3)**(3\/32) assuming r is positive.\nAnswer: r**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*n**3 - 583*n**3 - 30525*n + 30525*n.\nAnswer: 145*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 + 0.52. Let y = x + -0.4. Round y to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, u: 6}. What is prob of sequence uxx?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 568815613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 27*t**3 + 33*t**2 + 90*t + 60. Let y(n) = -2*n**3 - n - 1. Suppose 3*u - 18 = -21. Let r(b) = u*j(b) - 12*y(b). Determine k so that r(k) = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4 + 4)*(0 + 3 - 1 + 1 + 3 - 5 + (-3 + 4 - 2)*(5 - 2 - 2) + 2 + 2 - 6).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d. Let z be c(-5). Suppose 0 = 8*t - 4 + z. Is (1 + -1306*2)*t\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2390*r + 11946. What is p(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/5 - -2414 - (-72)\/9 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-2 + (13 - 24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289.77 - 289.97. What is the smallest value in f, -10\/119, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -1434\/1411 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 - 2*d. Let b be j(3). Solve b*z = 1 + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117)*-3)\/((2*sqrt(729) - sqrt(729)) + sqrt(729)))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - (15 + -7 + 9 + 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964693 - 960400 = 477*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**3 + 816*u**2 + 1934832 - 24*u**3 - 816*u**2 - 1934832.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 20*s - 365392. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148368 (base 10) to base 9.\nAnswer: 245463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 22212212220100220?\nAnswer: -22212212220100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -5, 5, 12, -2.\nAnswer: -47, -5, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10772 - -10853. Solve a*h - 127*h = -368 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 361730675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32997456 by -76383.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 94 - 94 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose g - 18 = -0*g + 5*s, s = p*g - 15. Suppose -4*k - 1 = 19. Sort -3, k, g.\nAnswer: k, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 + -45)) + 607 + -585?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**5\/9 + 112*j**4\/3 + 716*j**3\/9 - 264*j**2 - 2800*j\/9 + 1376\/3 = 0.\nAnswer: -3, -2, 1, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42339075 and 79510?\nAnswer: 84678150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -11. Suppose 0 = -4*q - 4*p - 28, 15 - 42 = 5*q + 3*p. Suppose 0 = 7*m - 33 + 5. Sort m, q, z in decreasing order.\nAnswer: m, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 + 110*x**3 - 466*x**2 + 354*x = 0.\nAnswer: -59, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730 - 2*h + 3481 - 1706.\nAnswer: -2*h + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 + 4*a - 2. Suppose 3*d = -2*d + 10. Calculate o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.173299 micrometers to meters.\nAnswer: 0.000000173299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 945, 949, 953, 957, 961, 965?\n\"Answer: 4*p + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 590828*s**3 + 43634124866*s**2 - 87270022224*s + 43635306528.\nAnswer: 2*(s - 1)**2*(s + 147708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1651510124 and 5566?\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(15\/(-243)) - 2. Let k be -2 - -2 - (-3 + b). Let n = k - -142. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -860*v + 225971. Determine t(263).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k. Let b(j) = 2*j**3 + j**2 - 6*j + 7. Let o be b(2). Let n(x) = -13*x - o*x + 15*x. Determine n(l(w)).\nAnswer: -91*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 23 - 9*x - 90 + 11 + 79. What is j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24822, -24632, -24108, -23082, -21386, -18852, -15312, -10598?\nAnswer: -4542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164*a**2*j**3 + a*j**3 - j**3 - 73*j wrt a.\nAnswer: -328*a*j**3 + j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 (base 10) in base 6?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1)\/(11\/55). Solve p*n = 4 + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 15285\nAnswer: -45855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159717516.\nAnswer: 2, 3, 7, 17, 111847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166.0719792 - 0.0068208. Let y = c - -166. What is y rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20364711.33063 + -3.\nAnswer: 20364708.33063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.1673+0.4\nAnswer: -2.7673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155b4 (base 12) in base 6?\nAnswer: 351544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 5, m: 5, r: 4, y: 1, e: 2}. Give prob of sequence su.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222564 is divided by 507.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*u + 205*u = 425*u - 40. Solve -106 = 3*w - n - 105, 2*w + 5*n = u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8602256738 to the power of 1\/3, to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 36 = -11. Suppose t = 2*x - 27, -3*t - 59 = -l*x + 11. Solve -x = 4*c + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.9 + -29. Let p = o + 3. Let h = -247 + 243. Which is the closest to p? (a) -1\/4 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -6*q**5\/5 - 47*q**4\/6 - 164*q**3\/9 - 52*q**2\/3 - 16*q\/3 + 290. Let b(k) = 0. Calculate k.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62976)\/(-5412) + (0 - 12)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -18. Let r(d) = 1 + 6*d - 4*d + d**2 + 0 - d. What is the remainder when r(i) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -60, -121, -182, -243?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 85*h**2 - 233*h + 537. List the prime factors of x(-87).\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4632262.6 days to weeks.\nAnswer: 661751.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 74. Let v(q) = 2*q**2. What is v(a(c))?\nAnswer: 2*c**2 - 296*c + 10952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -275, -516, -827, -1214?\n\"Answer: -b**3 - 26*b**2 - 92*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -88 and -24817.1.\nAnswer: -24905.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6933 is divided by 3780.\nAnswer: 3153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 881716.999802 + -881752. Let x = u - -35. Round x to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 - 0?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 797324 and 579872?\nAnswer: 6378592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 b when three letters picked without replacement from mbmmmbpmmggm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10301 (base 5) to base 3\nAnswer: -221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 808 = o + 1560, 4*i - 1895 = o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + 3315488?\nAnswer: 3315461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*q**2 - 80*q**2 + 778993625*q - 778993654*q.\nAnswer: 2*q**2 - 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/8630730 and 41\/306.\nAnswer: 8630730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**22)*z*z*z**21 assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7438605 centuries to years.\nAnswer: 74.38605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 66*d - 156 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 99. Let a = -886 - -5339\/6. Let p = a - 4\/3. Is p <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-52*i + 15*i + 36*i + 567*i**3).\nAnswer: -1134*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**3 + 54*h**3 + 28*h**3.\nAnswer: 53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0.1 (c) -108 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/8 + (-46)\/(-4). Suppose -4*u - 3 = -a. Suppose u*v = v + 2*r + 4002, -5 = 5*r. Round v to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26557, -53067, -79605, -106171, -132765?\nAnswer: -159387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19151 - 19142. Let l(q) = 83*q. Let s(y) = -333*y. Give o*l(u) + 2*s(u).\nAnswer: 81*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from {y: 3, b: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185500 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147616 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 429, 428, 427?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 122*v\/3 + 3721\/3.\nAnswer: (v - 61)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -3, 3\/2, 28 in decreasing order.\nAnswer: 28, 3\/2, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00135786 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/16 - 0 - (20 - 265\/53)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - dc?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 481513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from ddxdxdxxxxx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.003 - 4.197. Let w = -944810 + 944814.19929. Let g = t + w. What is g rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) - sqrt(88)*5))\/(sqrt(32)*6).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 + (-230)\/4 + 4 and -71\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 11 = -3*f, 0 = 4*f - 2*j. Let l(a) = 7*a + 1. Let b be l(-1). Let i be 4\/(b - -3 - -4). Put i, -2, f in increasing order.\nAnswer: -2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 9*z**2 + z + 10. Let i = -119 + 110. Give g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 319207406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162715 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - k - 11, 5*k + 27 = 3*b. Let v(g) = -7 - b*g - 2*g + 3*g. What is the remainder when 40 is divided by v(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853444889 to the power of 1\/2, to the nearest integer?\nAnswer: 29214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123374265*o - 136565975.\nAnswer: -123374265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3 - s**2 - 2*s. Does 4 divide k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 0*h**5 - 4*h**5 + (-4*h + 4*h + 3*h**2)*(78*h + 147*h**2 - 78*h)*(3*h - 2*h - 3*h).\nAnswer: -884*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 + 230*g**2 + 31*g wrt g?\nAnswer: -12*g + 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:55 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 23*x + (12*x - 3*x + 3*x)*(2 + 3 - 3).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -193919, -193921, -193923, -193925?\n\"Answer: -2*a - 193917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 1, z: 11, l: 5}. What is prob of picking 2 z?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 1, 0.4, 9, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239618\/25 + -9586. What is the common denominator of -91\/345 and v?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 72. Let x(a) = -a + 41. Let p be x(0). Let l = p - b. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*a + 8 = -2, -5*r - 22 = -4*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 148, 206, 258?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 351123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*u = -4*p + 42, 2*u + 25 = p. Let m = -20 + p. Let n(i) = i**3 + 4*i + 3. Let y(t) = t**3 + 4*t + 2. What is m*y(o) + 2*n(o)?\nAnswer: -o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2)\/((-2)\/6). Suppose -12 = -n*p - 45. Let v = -5774656 + 5774651. Which is the nearest to 0? (a) v (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108.46 - 108.86. Put s, -669, 5 in ascending order.\nAnswer: -669, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 6. Suppose -3*u = -2*k - 2*k + 34, 2*u + 25 = 3*k. Let a be q(k). Let z = 25 - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)*w)**17\/(w**(1\/3)\/(w*w\/w**6)))\/((w*w*w**(-1\/4))**(-30))**(-1\/9) assuming w is positive.\nAnswer: w**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -1) - ((77 - 40) + -9).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/27 and 74\/1645923.\nAnswer: 14813307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 - 2*c**5 + 6*c**5 + c - 5*c**5 - c + (-2*c**4 + 5*c**4 - c**4)*(-2*c - 2 + 2) + 499*c**3 + 492*c**3 - 19*c**5 - 991*c**3.\nAnswer: -27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 267891 (base 10) in base 12?\nAnswer: 10b043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185540613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/72*-3)\/((-9)\/(-162))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2 = 4*i + q, -q = -3*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19011, -10, 11, 1 in ascending order.\nAnswer: -19011, -10, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2579 - 2579 + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than -22080240203?\nAnswer: -22080240221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2929 + 299 = -91*l + 2193. Solve 24*d + l = -67 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4\/3, -1\/101?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -0.3, -0.05, -0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15243 (base 15) to base 14\nAnswer: -1ab01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 8*u**2 - 9*u + 4. Is m(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112 + 110?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 17. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 723, 0, 23 in descending order.\nAnswer: 723, 23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275367*y - 50278.\nAnswer: 275367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -418, -417, -416, -415, -414?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600924 divided by 29.\nAnswer: 600924\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 4 - (-40 + -5). Let d = -42 + j. Put 5, -1, d, -2 in increasing order.\nAnswer: -2, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 887634 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 321114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 minutes before 10:18 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 15*k + 227, -4*k - 4*z = -1109 + 1325 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, -1, -4460, 3, -9.\nAnswer: -4460, -20, -9, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179732751.\nAnswer: 3, 11, 1459, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*g + 8. Suppose o + 14 = u + g*u, -12 = -2*u + 2*o. Suppose 2\/5*s**3 - 4\/5 - 8\/5*s**u + 2*s = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-12) - (0 + 5). Solve c = 5*v - 4 - 21, -17 = -3*s - 4*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 15 + 14 - 4 - 43 + 18 + 0.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835472395 to the nearest integer?\nAnswer: 28905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 9 = -24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -19, -12, 17, 74?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + ((-22)\/(-6))\/(19\/57). Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(343)*2 - (((sqrt(35)*1)\/sqrt(5) - sqrt(7)) + -4).\nAnswer: 6 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 675139233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 5*s**2 + 10*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = -0*a. Suppose -3*n = -62 + 68. Let r = n - a. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4498*c**3 - 13*c**2 + 254*c wrt c?\nAnswer: -26988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 1101716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(792)*-2 - sqrt(792))*-5)\/(-2*sqrt(50) - (sqrt(242) + -1*sqrt(242))))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 147 = 9*r. What is the greatest common factor of 539 and r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -72298121 and 337.\nAnswer: -72297784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -4, 5 in descending order.\nAnswer: 10, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x - 2466. Let g(z) = -3*z - 6. Give -2*g(q) + i(q).\nAnswer: -2*q - 2454","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**7\/6 - j**4\/6 + 13*j**3\/2 + 54*j. What is the second derivative of f(z) wrt z?\nAnswer: 140*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*f**3 - 127*f - 33*f**2 - 44*f**3 + 127*f to the form d*f**2 + t*f + q + v*f**3 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 16*x**2 + 5. Let c be m(-16). Suppose -c*g + 12 = -18. Find the third derivative of a**6 - 3*a**6 + 3*a**2 - 3*a**g + 3*a**2 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 23. Suppose 0 = 4*k - 3*d + c, -5*k + 5*d - 24 = -k. Let s be (20\/k)\/(8\/(-12)). Sort s, 2, 3 in decreasing order.\nAnswer: s, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2 + 2)*(594 + 44*g - 594)*(-4*g + 4*g + 2*g**2).\nAnswer: -176*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3 + 6 - (-528)\/(-112). Let f(w) = 4*w**2 + 1. Let t be f(1). Which is the second biggest value? (a) o (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -28. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 6. Let i be -3*((2 - 0) + -3). Let b be t(i). Suppose -5*w - 4*h + 10 = 0, 5 = 5*w + 5*h - 0*h. Solve 3*r + 0*r - w = b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 34.6. Round u to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3693 and 0.3.\nAnswer: 1107.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2310\/154*(-8)\/10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 132 + 7*w - 1\/3*w**2.\nAnswer: -(w - 33)*(w + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*h - 11 = 0, -6*b + 3*b + 2*h = 13. Let o be (-1)\/b - (-17)\/(-51). Solve 2*a + 4*p = o, -7 = -3*a - p + 2*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*j - 6. Let z = -13 - j. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4306 (base 8) to base 2\nAnswer: 100011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20978*n - 13912 = -20980*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 8. Let j be i(-4). Solve 0 = -n + 3*y + j, 3*n - 32 = -0*n + 5*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 + (-2 + 6 - 3)*(-3 + 5 - 1))*(-4*p - 10*p - 2*p).\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 581 = -3*m, 4*m = 2*a - 1048 - 74. Are 2281\/4 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 0*o**2 + 100 - 2*o - o**2. Calculate the remainder when r(0) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.02 - 6. Let q = 0.02 - n. Let i = -12\/7 + 55\/28. Which is the nearest to q? (a) i (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2, 8\/37559, 0.2 in ascending order.\nAnswer: -0.1, 8\/37559, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31816?\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 128*u + 114 + 128*u + 211.\nAnswer: 7*u**3 + 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 151, 220, 269, 292?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179835*w**3 - 179562*w**3 - 422*w**2 + 124*w**2 - 148*w**2 wrt w?\nAnswer: 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -12263\/38082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0534 - 4.0534. Suppose -2 = h + 3*l, -h + 9 - 3 = -l. Let k = -101\/321 + -2\/107. Which is the nearest to k? (a) 0.1 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 1\/6*v**3 + 0*v - 1\/120*v**5 + 7\/24*v**4 + 0 - 4*v**2. Let h(o) be the first derivative of z(o). Calculate h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7042 + 7047 + 1 + (-1 + -136 - (7 - 3))\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 832 (b) 20 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 64?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.415688 litres to millilitres.\nAnswer: 5415.688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 621?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -5*c, -5*c + 2*c = 5*m - 16. Let p(f) = f**3 - 3*f**2 - 14*f + 25. Let a be p(5). Solve -4*s - a*n + 1 = -7*s, -s - m*n - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.204448.\nAnswer: 0.0613344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000098829224 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.664 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585310 and 468248?\nAnswer: 2341240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, -9, -48, -103, -174, -261?\n\"Answer: -8*r**2 + r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132718747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-354)\/472 - ((-15)\/10)\/(150\/155).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 9, 41\/6, -2, -0.1, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19b234 + 1?\nAnswer: -19b233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {r: 11, q: 4, h: 3, w: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 67.24155nm?\nAnswer: 0.00000006724155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/36 and -79\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233 greater than or equal to 4233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7880 is divided by 657.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 16*r**2 + 5. Let n be t(8). Suppose n*d + 23 = 2*q, q + 4*d = 5*q - 28. Solve c = 2*b - 3*b + 6, 0 = -4*b + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a factor of 83320452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 701\/6 (b) -51 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j - 2 = 0. Let m be (-2)\/(14\/(-12) + j). Solve -m = 2*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.3 (b) 2 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*q + 3*q - c, -10 = -2*c. Suppose 0*p = 2*p - q. Let n be p - (-2 + 1 + 0). Solve 3*a + 1 = -5*k - 3, 2 = n*k + 3*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74a (base 11) in base 6?\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**6))\/m)\/(m*m\/(m**(-1)\/m)*m*m)*m**1*m**(-4) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -12. Let j(g) = -g - 1. Let a(t) = t - 16. Let b(l) = -a(l) - 2*j(l). What are the prime factors of b(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -44\/5, -284?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 1455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4404800 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1067 + 1074. Solve 1 = -v - 2*y + z, -12 = 5*v - 4*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16536, -16554, -16692, -17010, -17568, -18426, -19644, -21282?\nAnswer: -23400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9365.13 centuries?\nAnswer: 11238156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/16 + 25\/24. Let u = -7378 - -265637\/36. Calculate the common denominator of u and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 58. Solve w + 3 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - sqrt(125)*2*5)**2 + 0 + 4.\nAnswer: 10129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -457, -1 in increasing order.\nAnswer: -457, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/2 - 11*b**4\/2 + 3*b**3 + 47*b**2 + 121*b\/2 + 45\/2 = 0. What is b?\nAnswer: -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 - 2 = 0. Suppose 2*p + 11 = 55. What is the smallest common multiple of w and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940650 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - c**2 - 3*c + 4. Let l be d(2). Let m(u) = -18*u**2 - 22*u**2 + 56*u**l. Let h(v) = -2*v. Calculate m(h(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*i = -5*i + 51, 102 = 2*z + 2*i. Suppose k + 13 = z. Suppose -d + k = 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Suppose b = -0*b - 32. Let u be 1\/4 - 56\/b. Let l(s) = -6*s**2 + 0*s**u + 2*s**2 - 6*s**2. Calculate k(l(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*f - 3)*(-18 - 38 + 16)*(-25 + 8 - 13)*(-3*f + f + f).\nAnswer: 2400*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -461, 23, 0, 4, 22, -3 in descending order.\nAnswer: 23, 22, 5, 4, 0, -3, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502*13.994.\nAnswer: -7024.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -48. Let s be a\/(-2)*(14 + -7). Let b(i) = 8*i**2 + 0*i**2 + s*i**2 + 23*i**2. Let n(p) = 2*p**2. What is n(b(d))?\nAnswer: 2888*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202030 (base 5) to base 4.\nAnswer: -11121330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*c + 14, 5*c - c - 2*g = 0. Calculate the smallest common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10613450621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 500505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -7. Let l = j - 18.99999958. What is l rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 34.7497.\nAnswer: 35.2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 d when four letters picked without replacement from {t: 1, k: 1, r: 5, d: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 93*q**2 - 93*q**2 + 198*q**2 - 1.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 5922*o + 372924\/7.\nAnswer: 2*(o + 9)*(o + 20718)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -3 + 0 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in -0.3, 0, -2\/1603?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from {e: 5, j: 2, o: 1, g: 1, b: 7, i: 4}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(10) + 5*(1*sqrt(10) - sqrt(10)))\/sqrt(2))**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -25*k**5\/6 - 451*k**4\/24 - 5*k**2 - 13. Find the second derivative of x(g) wrt g.\nAnswer: -500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/24 and 7\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.63456 millilitres in litres?\nAnswer: 0.00163456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -2, 19, 48?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 27 = 7. Let h(k) be the second derivative of 17*k**3\/6 - k**2 + 147*k. Is h(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 5*l - 2*l)*(2*l**3 - 4*l**3 + 3*l**3) - 2*l + 2*l + 2*l**4 + (3*l**3 - 22*l**3 - 7*l**3)*(-4*l + 0*l + 3*l).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69977, -280386, -631063, -1122008, -1753221, -2524702?\nAnswer: -3436451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.22 + -7.22. Which is the closest to -2\/7? (a) w (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201211002 - 1?\nAnswer: 10201211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 25*v + 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*u**4 + 316*u**4 - 77*u + 782*u + 29*u**5 - 633*u**4 wrt u?\nAnswer: 580*u**3 - 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 35, 0.7, 3.1, -4, 3, 164?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 57*l + 18. Let h be z(-15). Let u(w) = 7*w + 191. Let k be u(h). Which is the second smallest value? (a) k (b) -0.4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.8*40.2\nAnswer: -956.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d - 6 = 0. Calculate the remainder when 5 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x. Let g(s) = 29*s**2 + 135*s. Give b(g(i)).\nAnswer: -87*i**2 - 405*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/3 + 102*w**3 + 20909*w**2\/3 + 44488*w + 37620 = 0. What is w?\nAnswer: -209, -90, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -633.7?\nAnswer: -632.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81263847662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/20184 and 105\/3406.\nAnswer: 34373352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.6 in 0.4, -0.1, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2240 - -71683\/32. Which is greater: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 36*l - 63*l - 781 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k - 18. Let g be v(-10). Suppose h = 220 + g. Suppose -5*j + h + 103 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 401 - 282. Let h = -122 + g. Let m(r) = 2*r + 4. Let z be m(-4). Put h, 0, z, 1 in increasing order.\nAnswer: z, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82697755.2 to the nearest ten thousand.\nAnswer: -82700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(32) - sqrt(512)))\/((sqrt(484)*-1 - sqrt(4))*4) + 0.\nAnswer: sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*20\/45*1*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/16)\/(2\/4). Let w be (-22)\/2*(2 - d). Let l = w - -29. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -39394?\nAnswer: 39390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, 1\/4, 2 in decreasing order.\nAnswer: 2, 1\/4, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-4))\/((-2)\/(-8)). Let h(z) = z**3 - 6*z**2 - z + 8. Let g be h(6). Does g = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g - 41*g - 4*d - 24 = 0, -3*d = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175106312.\nAnswer: 2, 491, 44579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*(-6)\/1. Let s(d) = -d + 2. Let w(t) = -2*t + 3. Let y(p) = -5*s(p) + 3*w(p). Give y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 22. Let g be m(-7). Calculate the highest common divisor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s. Let a(b) = 5*b**3 - b**2 - 3*b. Suppose -11*c + 4*n - 22 = -13*c, 3*c - 3*n + 3 = 0. Determine c*u(l) - a(l).\nAnswer: -8*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 2. Suppose -z = -t - t, z - 16 = -2*t. Let k = z - 5. Calculate b(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61614080171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 25 = 2*n - q, 0 = -3*n + 5*q + 57. Suppose 2*l + n = 3*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 57*b - 72. Determine c(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 54.\nAnswer: -53.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -7. Let v = 9.3 + t. Which is the third smallest value? (a) v (b) 0 (c) 3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/37796328 and 5\/18898164?\nAnswer: 37796328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 + 428*h\/3 - 4272.\nAnswer: -2*(h - 178)*(h - 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/(-3))\/(12\/450). Suppose h = 6*h + w. Let v = h + 95. Solve -4*n + v = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i + 40*i**3 + 6*i)*((-3 + 0 + 1)*(-5*i + 2*i + i) + 2*i + 0*i + 0*i) as u*i**2 + d*i**4 + y*i + m*i**3 + g and give d.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 0 - (-443 - -438)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11)**(2\/67)*j*(j*(j\/(j**(-3\/5)*j*j))\/j)\/j*j*j*j**(-6)\/j assuming j is positive.\nAnswer: j**(-1699\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 740\/(-2516)*10\/10?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dib when three letters picked without replacement from ugiddgbbugbdgigddgd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4 + 1 - b + 0 - 4. Let r(i) = -i**3 - 16*i**2 - 6*i + 3. Let s(k) = 2*p(k) - r(k). Is s(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioppesoppisers. What is prob of sequence rio?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-5)\/2) - -2. Let d(f) = f**2 + 8*f + 3. Let z be d(-9). Suppose -4*o - z = -5*u, q = -o - o + u. Solve o*p = 5*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 22*a - 16. Let u be n(10). Suppose -14*y + u + 6684 = 0. What are the prime factors of y?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -178, -547, -1198, -2209?\nAnswer: -3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(1\/4)*r)\/r)\/r**(2\/11))**(-37) assuming r is positive.\nAnswer: r**(-1739\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5772643, 11545280, 17317917, 23090554, 28863191, 34635828?\n\"Answer: 5772637*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(5)*3 - (-1 + sqrt(245))) + (sqrt(50) - sqrt(550)\/sqrt(44))\/((sqrt(50) + sqrt(200)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: -51*sqrt(5)\/2 + 13021\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let g(t) be the first derivative of -3*t**2 + 12*t + 3. Let u(x) = -g(x) - 12*l(x). Let z(d) = 113 + 2*d**2 - 113. Calculate z(u(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-2) + (-9)\/3 + 1. Let v(r) = -r**3 + 4*r**2 + r - 4. Let i be v(4). Let s(d) = -d**3 - 2*d**2 + 3*d. Let w be s(-3). Solve j*q + i*q = w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0\/l*l*l**(1\/12)*(l*l\/(l**(2\/3)*l))**(-8))\/((l*l**1)**(3\/11)*l\/(((l\/(l**(-4\/5)\/l*l)*l)\/l)\/l)*l**(5\/2)) assuming l is positive.\nAnswer: l**(-3187\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/96 and 23\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 1, o: 3, r: 3, q: 1, b: 2}. Give prob of sequence brq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009751 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:56 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -4.3630909.\nAnswer: 4.3630909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101 - 11384162149\nAnswer: -11384162250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 72*q**2 - 28*q - 15. Let m(b) = 34*b**2 - 13*b - 7. Let y(j) = -13*m(j) + 6*p(j). What is y(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -468052.6 and -0.16?\nAnswer: 468052.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -61, -93, -125, -157?\n\"Answer: -32*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 - 0.8. Let g be -71 + 3\/6*2. Let j be (g\/(-21))\/((-4)\/6). Which is the closest to -0.2? (a) 5 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6 + 6 + 20*q. Let v be s(1). Let a = v + -10. What is the remainder when 29 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 96*n**2*q**3*r + 3*n**2*q*r**2 + 3*n**2*r - 82*n**2 - 2*r**2 wrt q?\nAnswer: 288*n**2*q**2*r + 3*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l + 3*m - 2, -l - m + 5 = 0. Suppose 5*d = -q + 61, -4*q + 129 = -0*d - 3*d. Solve -4*c = -l*n - 8, n - q = -4*c - 3*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 0*n + n + (-n + 4*n - 2*n)*(4 - 4 - 1) + 3 - 3 - 2*n + 32*n - 69*n + 13*n + (4*n + 2*n - 7*n)*(-2 + 2 + 1).\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*t**2 + 88*t**2 - 59*t**2)*(-11 - 15 - 9) to the form i + s*t + p*t**2 and give p.\nAnswer: -2065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 176367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 15 - 218*v + 3*v**2 - v**2.\nAnswer: 2*v**2 - 218*v - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1) + -1)*-4. Let x = -6 + g. Let v = -34.5 - -34. Which is the second smallest value? (a) 4 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -5*d - 1\/21*d**7 + 0*d**2 + 0*d**6 - 1\/2*d**4 + 0*d**5 + 0 + 0*d**3. What is the third derivative of k(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 0.3?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {d: 15, l: 3}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -3 (c) 18003789 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4970*m + 1592*m + 1605*m + 1788*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(14\/3)*b)\/b*(b\/(b*b**20))\/b)\/(b**6)**(-2\/5) assuming b is positive.\nAnswer: b**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*q*s*t - 43*q - 27*s**3*t - 5*s**3 + 35*s**2*t + 14*s wrt t.\nAnswer: 11*q*s - 27*s**3 + 35*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-38*l + 6 - 6) - 2*l + 2*l + l + l + 1 - 1 in the form x + m*l and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 1, o: 2, b: 1}. Give prob of picking 1 n and 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -21212?\nAnswer: -21211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 5384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.98 + 0.02. Let y = -3 + q. Let k = 10\/133 - -4\/19. Which is the smallest value? (a) y (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173 + -16?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 9. Let a be l(6). Let x = -1 - -7. What is the third derivative of -n**x + 2*n**2 + 3*n**6 - a*n**2 + 4*n**2 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:09 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918*p**3 + 910*p**3 - 3*p + 3*p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -162, -404, -744?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1\/2)\/((-195)\/(-2990)). Let f = 435 - 251. What is the highest common factor of u and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*y - 106*y + 822*y + 34*y.\nAnswer: 435*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 147257, -2690, -0.5?\nAnswer: 147257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232169472 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 36. Let f be (-3)\/(-1*(-2)\/(-2)). What is the second derivative of 2*y - y - 3*y - f*y**h wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 3*v**4\/8 - 93*v**3\/2 + 8649*v**2\/4 - 89373*v\/2 - 27. Factor h(i).\nAnswer: 3*(i - 31)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 10*w**2 - 12*w + 29. Let z be r(9). Solve -2*k = -d + z, -k - 2*d + 4 = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*-3*(-1)\/6. Suppose x*n + 2 = 6*n. Calculate the highest common factor of n and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -144*j + 64. Let i(s) = -71*s + 26. Give -13*i(f) + 6*m(f).\nAnswer: 59*f + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -140, -143, -158, -191?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 123*d**2 - 133*d - 1138. Calculate x(-124).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -1 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 44 = 4*p, 3*p - j + 1638 = 1673 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 10631.08661 rounded to the nearest 10?\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1 + (-144 - (-3 + 4))). Let p = 156 - g. Suppose x - s - 3*s = 24, -2*s - 24 = -2*x. Solve 0 = -4*y + 2*r - p, 6 = y + 5*r - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -377.8 + 377.9. What is the fifth smallest value in 5, 0, 1\/5, y, 0.38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11102141 (base 5) to base 12\nAnswer: -48297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.5, -4.9, 1?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from otjjtjbebbej.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*x = -20 + 49, 4*a + 33 = -5*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17))**2 + 0)*-3.\nAnswer: -63 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**2 - 4*i - 1. Let y be q(-1). Let p = 33 - 23. Sort y, p, 1.\nAnswer: y, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 - 11110 = 514*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55\/172 - -3481\/1204. Find l, given that -33\/7*l + 30\/7*l**3 + 0*l**2 + 18\/7*l**4 + 3\/7*l**5 - v = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1379 - -1386. Suppose -3*o + 3*d + 606 = -744, 1338 = 3*o + 3*d. Calculate the greatest common factor of o and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2014460 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/720 - l**4\/12 + l. Let w(g) be the third derivative of n(g). Let j(y) = -7613 + 7613 - 3*y. Calculate w(j(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*v - 10328 = 1585 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i - 8*i - 11*i - 14*i - 2. What are the prime factors of m(-18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -4\/7 (b) 1\/4 (c) 23.8 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w. Let q be u(-4). Let m = q + -24. Let j = -15 - m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + (-36 - (-103 + 59))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 8\/9 (b) -3 (c) -3\/5 (d) -4 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysyvwyysyvyvesw. What is prob of sequence vvss?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i - 5. Let g be j(4). Suppose g = 4*o - 9. Suppose -o*u = -5*d + 90, 5*d - d - 72 = 3*u. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3041 + -10338548.\nAnswer: -10335507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 11*s**2 + s - 21. Let j be p(-9). Suppose 2*b = a + j, -50 = 5*b - a - 374. Let f = b - 60. Solve 0 = x - 3*x - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 48216558?\nAnswer: 48216563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v + 24*v + 51*v)*(-3*v + 3*v + v**3).\nAnswer: 55*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -10\/7*p**4 + 2\/7*p**5 + 0*p - 8\/7*p**2 + 16\/7*p**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-1))\/((-485)\/970).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 14, t: 4}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/16))**(21\/2)*((w**(-4\/11)*w)\/w)**20 assuming w is positive.\nAnswer: w**(-1867\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3887*y**3 - 27*y**2 + 27*y**2 + 108932*y**3 + 333*y**3.\nAnswer: 105378*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 13) to base 10\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148420.161 + 148353. What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 152, 12, -486, -1558, -3420, -6288, -10378, -15906?\n\"Answer: -36*n**3 + 37*n**2 + n + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*w + 120*w + 49*w - 129*w + 3132 = 0 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -40. What is the closest to 1 in 2\/5, o, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(102\/(-12) + -3 + 8). Let s = 64 + -91. Let z = s + 15. Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpxwrrwwwxw. What is prob of sequence xwr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-10)\/(-6) - 728\/168. Suppose 4*t = -2*x - 44, x - 3 = 1. Let p = t - -8. Is p less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3322100 - -12?\nAnswer: 3322112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -22, -16, -10, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -48*l - 47*l - 18*l + 162*l - 34*l - 96. What is o(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 197784 and 6427980?\nAnswer: 12855960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9840 = -230*c + 189*c. Calculate the least common multiple of 3 and c.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 60 + 19*c + 32)*(-2*c + 2*c + c).\nAnswer: 19*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/3 - 7670*o**2\/3 + 2971885*o\/3 - 23286760\/3.\nAnswer: 5*(o - 763)**2*(o - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/2 - 102*u**4 - 747*u**3 + 1798*u**2 - 1899*u\/2 = 0.\nAnswer: -9, 0, 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7721 + 277993\/36. What is the common denominator of r and 29\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.64 - -19.36. Let a = j + 21. Let u = a - 45. What is the third biggest value in u, -0.4, 1\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -30225?\nAnswer: -30222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -164, -240, -368, -548, -780?\n\"Answer: -26*x**2 + 2*x - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(792)*6)\/(-1*sqrt(32)*-3))**2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1623, -3344, -5063, -6780?\nAnswer: -8495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 2518516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x = 74*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(-3*(-1 + sqrt(1573))*-5)**2.\nAnswer: -14850*sqrt(13) + 1062454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -862668\nAnswer: -1\/287556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 14.\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-2 + 1)*-1. Let c = y - -4. Suppose 5*d - 76 = c. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 169 and 208 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 792126*u**2 - 2376339*u + 3168468 = 0.\nAnswer: -264039, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**2. Let t(u) = -947*u**2. Calculate t(n(z)).\nAnswer: -114587*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 582747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = 0, 2*w = 2*f - 7 + 1. Suppose h + 3*h - 100 = f. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 3, c: 1, q: 2}. Give prob of sequence ffzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0619642 millilitres to litres.\nAnswer: 0.0000619642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -14. What is the nearest to w in 1, 2\/5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7671*s + 15380*s + 700 = 7684*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2. Let s(r) be the second derivative of r**4\/4 - 17*r**3\/6 + 27*r - 1. Calculate s(o(t)).\nAnswer: 12*t**4 + 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101.6 - 97.6. What is the nearest to 4 in z, 7, 1\/7, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5617.\nAnswer: 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-320)*2*130\/(-156)*(-4)\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*x - 222*x - 32. Let m(k) = -2*k - 3. Let p be m(-3). Suppose 0 = -4*c + 12, 0*r + 411 = p*r - x*c. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/2 - 330*b. Let k(h) = 13*h**2 + 7*h. Give v(k(y)).\nAnswer: -39*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-18)\/20*133550\/(-26710)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**2 + 447*h + 118. What is f(41)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3 + 6875234*a**2 - 82503024*a + 247509288 = 0.\nAnswer: -3437629, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 1?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 4*y. Let r be (1\/1)\/2*y. Suppose -581*i = -356*i - 8 - 1117. Sort r, 4, i, -7 in increasing order.\nAnswer: -7, r, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19560595 and 3778?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137673 is divided by 45888.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/504*7*12\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:53 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))\/g)**(-11)\/(g**(-6)*g\/(g*((g\/g**(-1\/3))\/g)\/g)) assuming g is positive.\nAnswer: g**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/2 - -5\/8. Which is the nearest to 1? (a) 3\/4 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(3\/5))\/((m*m**(-1)*m)\/m))\/((m*m*m\/m**(1\/22))\/m**(-3\/2)) assuming m is positive.\nAnswer: m**(-223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 10*s**2 - 20*s + 7. Let i be y(-3). What is the second derivative of 177 - 86 - 87*m - 305*m**i - 70*m - 91 wrt m?\nAnswer: -3660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -2*w - 5*f, f = w + 4. Let b be (-102)\/(-27) - w\/18. Suppose 3*x - 5*o - 30 = -0*x, 7 = -x - b*o. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5005327?\nAnswer: 17, 294431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26727, 26762, 26801, 26844, 26891?\n\"Answer: 2*z**2 + 29*z + 26696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(-1 + sqrt(132)\/sqrt(12))*-4*4.\nAnswer: -128 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - ((3 - -2) + -12). Suppose 0 = 5*r, -3*k + 0*r - l*r + 561 = 0. Is k 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 j and 1 z when two letters picked without replacement from {j: 3, t: 2, r: 4, w: 2, z: 3, b: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 465157313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose 1 = 5*r - 14. Suppose -z + 5*g = 17, r*z - 5 - 4 = -5*g. Which is the third biggest value? (a) l (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 18*u - 5. Suppose -2*b - 6 = -26. Is 32 a factor of h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1509543 and 373527?\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 280 = -53*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -u + 4*u. Let l be (-2)\/1*(-3)\/u. What is the derivative of -8*c**2 + 4 + 4*c**2 - l*c**2 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.88147 or -9?\nAnswer: 2.88147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*1*-6 + ((sqrt(77) - -3*sqrt(77) - sqrt(77))*-2)\/sqrt(11).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 10 - (9 + 3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21536497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 21*z**2 - 49*z - 208. Let t be n(13). Let p = -1\/687 + -3383\/35724. Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/12 + p**2\/2 - 4*p. Let i be m(-1). Let s(o) = o - 7. Calculate s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.7 from 2.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -13111112?\nAnswer: -13111123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 685, 1028, 1371?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8. Let g(w) = 5 + 2*w + 2*w - 4. Is g(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 7 + 1 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -42*v + 37*v - 394, 3*v - 4*i + 278 = 0. Suppose 0 = -4*q + 2*g - 326, -5*q = -0*q - 4*g + 406. Is q greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 35 - 11 = -3*t, -23 = -3*q + 4*t for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 + y + 26. Let x be b(0). Let p be ((29 + -36)*(-5)\/(70\/12))\/2 - 1. Solve -2*i + p = -4*f, 5*f + x + 4 = -3*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*r + 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o**4 - o + (0*o**3 + 0*o**3 - 2*o**3)*(o - 2*o + 2*o) - 2*o**4 + o**4 + 2*o**4)*(-54 + 8*o + 22 + 36).\nAnswer: -16*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 8*l + m - 9 = 0, -2*m + 13 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11.783901 months?\nAnswer: 0.98199175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdz when four letters picked without replacement from {j: 1, z: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -35.4. Let i = 12.9 + a. What is the nearest to -2\/5 in 0, i, 0.13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*g**2*w - 2*d*g**2 - 22*d - 7*g**2 + 11*g*w - 2*w - 1 wrt g.\nAnswer: -4*d*g*w - 4*d*g - 14*g + 11*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/5 + (-12)\/20. List the prime factors of -4*(-1)\/((-2)\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 b, and 1 l when three letters picked without replacement from {x: 2, b: 1, j: 7, l: 1, w: 2, d: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) 1\/6 (d) 3\/16 (e) 2\/891\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30196029 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1419376 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3172947 is divided by 9793?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 37*h**2 - 82*h + 30. List the prime factors of o(44).\nAnswer: 2, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 13. Let v be s(-16). Calculate the highest common divisor of v and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916*i - 6*i**3 - 916*i.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59243573*n**2 + 2*n + 132008555 wrt n?\nAnswer: 118487146*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222232 + -11001131?\nAnswer: -11230023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + sqrt(5) + -3 - sqrt(180)\/sqrt(4)) + -3.\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1141122323 (base 5) to base 6\nAnswer: 133211340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnwnnnn. Give prob of picking 1 w and 1 n.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 + -32332?\nAnswer: -32111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13925 = 10*t - 5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/16575 and 31\/1326?\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/31, -0.06, -3\/4, -2\/23, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94715 is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 - 20*j**2 - 16*j wrt j?\nAnswer: 12*j - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -47, -68, -109, -176, -275?\n\"Answer: -q**3 - q**2 + 3*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/13)*c\/(c\/c**(-7\/6))*c)**(5\/3)\/(((c**3\/c*c)\/((c*c**(-4\/3)*c)\/c))\/(c**(-2\/3)*c\/(c*c*c\/(c**(-1\/4)\/c)))) assuming c is positive.\nAnswer: c**(-3163\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whts when four letters picked without replacement from {w: 1, t: 1, l: 1, f: 1, s: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235993*j + 235989*j = 3*x - 23, -4*x + 3*j = -14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203259 >= 2235835\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(5 - -5). Let q = -0.26 - -2.26. Which is the closest to q? (a) 1 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 22. Let v = -8 + h. Solve -3*i + 3*y + 1 = 2*y, 0 = -v*i - y + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2238, -2563, -2898, -3249, -3622, -4023, -4458?\n\"Answer: -c**3 + c**2 - 321*c - 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.62*-0.02\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007779237 to 7 decimal places.\nAnswer: 0.0000778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 16*x + 19. Let k be l(17). Suppose 0*y = -k*y + 4, i - y = -6. Which is the smallest value? (a) i (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89380, -174383, -259388, -344395, -429404, -514415?\nAnswer: -599428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*s = -114, 5*d - 9*s - 173 = -8*s. Suppose d*j = 33*j + 1412. What are the prime factors of j?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dogv when four letters picked without replacement from {d: 1, v: 2, i: 1, g: 1, f: 1, o: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1804007 and -0.6?\nAnswer: 1804007.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2392883 (b) 0.1 (c) 2\/49 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-16)*h)\/(h**(3\/2)\/h))**(-43) assuming h is positive.\nAnswer: h**(1333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((4*2*(-3*sqrt(275) + sqrt(275)) + (sqrt(275) + -4*(1 + sqrt(275)) - -5*(1 + sqrt(275) + sqrt(275))))*-2 + 4))**2.\nAnswer: 9000*sqrt(11) + 2227600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o - 11. Let j = -3 + -3. Let v(l) = -3*l - 1. Let r(q) = -7*q - 10. Let h(x) = -r(x) + 4*v(x). Give j*t(u) - 11*h(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -411, -449, -487, -525?\n\"Answer: -38*j - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13897*c + 20857.\nAnswer: -13897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/5302608 and 83\/59763.\nAnswer: 58328688","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 22*x. Solve x = -5*m + m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/34684)\/(-17*(-34)\/(-6647))\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 2. Let w be t(0). Suppose -18 = -3*x + w*c, -14 + 6 = x + 4*c. Factor 46*j**3 - 94*j**3 + 12*j**2 + 48*j**3 - 8*j - x*j**4.\nAnswer: -4*j*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-6 + 4 + 0)*(2*g**3 - g**3 + 0*g**3).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -898 (base 13) to base 2\nAnswer: -10111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0)**2 + -4 + sqrt(891) + (1*sqrt(891))**2*-1 + 2)*-6.\nAnswer: -54*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4037.03 + -4037. Which is the second smallest value? (a) l (b) -4 (c) -1\/11 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z - 6. Calculate y(4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j - 1. Let q be g(1). What is the tens digit of 0\/3 + (q - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458.7 - 466.2. Which is the third smallest value? (a) -29 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - 5.6. Let m = -1 - b. Let t = 4 - m. Is -0.1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 27 = 3*o, 5*o - 7 = x - 35. Which is the nearest to 0.3? (a) 0.1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3713)\/540 + (0 - 2). Let u = 376\/27 + r. Calculate the common denominator of ((-364)\/(-35) - 11) + (-518)\/120 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21049 = 3*h - 2*r, 4*h - 17*r + 15*r - 28068 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 563*n**5\/5 - 3*n**2\/2 - 6708*n - 3913. Find the first derivative of s(b) wrt b.\nAnswer: 2252*b**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.85, -1, -9\/5 in decreasing order.\nAnswer: -1, -9\/5, -2.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ef + -5?\nAnswer: 1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000118089 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 917*v - 4572*v + 916*v + 919*v + 917*v + 916*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12*1*9. Suppose g*c + 2*z + 7 = -7, 2*c + 5*z = -13. Put -5, 2, c in decreasing order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314278 is divided by 1157138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 3*t**2 - 1\/3*t**3 + 11*t + 12. Let f be k(7). Solve 0 = f*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 440, 990, 1760?\nAnswer: 2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 3*w = 125 - 41. What is the least common multiple of 1332 and w?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -749 divided by -55542\nAnswer: 749\/55542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 u when four letters picked without replacement from {u: 4, v: 2, g: 6}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let m = 5 - 0. Suppose 3*f - 2 = -2*l + 2, 0 = m*f + 10. Let j be v(l). Solve j*b + 2*p = -4, 0 = 2*b - p - 3 + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + k + 1. Let x be h(0). Let d be (0 - x)*48\/(-12). Is -2 - (0 + -13804)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447 or -1327?\nAnswer: -1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2 - 7 + 2)*((1 + 0 - 2)*(-4 - 2 + 4) + (116 + 67 - 10)*(3 - 3 + 1 + (0 + 2 + 0)*(4 - 3 + 0) - 3 + 0 + 4)).\nAnswer: 2082*d - 2082","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-336)*((-2)\/8 + 1012\/16).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 + 10 = 0, 4*g - 2*q - 4358 = 0. Is (-3 + g\/12)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 7) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2805 and 11.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6166254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2256 - 242 = -2*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.19 + 2.1. Let u = 0.0899952 + w. What is u rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3944\/5*l + 14\/5*l**3 - 864\/5*l**2 - 1056\/5 = 0.\nAnswer: -4, -2\/7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 33) + (-18 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(8\/320) - 1. What is the greatest common divisor of 57 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1206 or -73538\/61?\nAnswer: -73538\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200)*-2 + (sqrt(288) - (sqrt(288) + -2)) + sqrt(288))*-3.\nAnswer: -30 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12629 = -311*f + 22270 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = i + 26, 376*i - 283*i - 396 = 4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**2 + 17\/6*m**3 - 4\/3*m**4 + 0*m + 0. Differentiate g(r) with respect to r.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + -0.28. Suppose 3*s - 21 = -3*i, -5*i + 7*s = 6*s - 17. Let l be ((-5)\/(-5) + -3)\/((-21)\/(-6)). What is the nearest to 2\/3 in h, i, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29083\/35 + 831. Put -0.1, -0.2, y in decreasing order.\nAnswer: y, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*d**3 + 200*d**2 - 105647.\nAnswer: -156*d**2 + 400*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 3, w: 2, u: 4, v: 2, g: 2}. What is prob of picking 2 g, 1 v, and 1 u?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1899, 3260, 4845, 6654, 8687?\n\"Answer: 112*m**2 + 1025*m + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138 divided by -3?\nAnswer: 1138\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-2) - (-8)\/(-1). Let d = c - -7. Let q(a) = -3*a + 3*a - d - a**3 + 6*a**3. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 371558.\nAnswer: 371559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3567 = 3*z, 4*y = -2*z + y + 2371. What is the remainder when 1233 is divided by z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 2*i - 4*r - 88, 3*i + r - 62 = 0. Suppose -i*g = -2*g - 4256. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4059 and -0.8?\nAnswer: 4058.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 12438.\nAnswer: 11\/4146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5661 - 5660.9999056. Round m to 6 dps.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2400 + -1407. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(119)\/((sqrt(105)\/sqrt(3))\/sqrt(5)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*r**2 - 6*r**2 + 4*r**2)*(-2 - 3 + 4) - 5*r**2 - r**2 + 4*r**2)*(-182*r**3 + 10*r**3 + 48*r**3) + (1 - 1 - 2*r**2)*(2*r**3 + r**2 - r**2).\nAnswer: 492*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10963763 is divided by 456815?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -25023.\nAnswer: -25021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*h**3*j**3 + 48518*d**2*j**3 - 58275*h*j - j**3 with respect to h.\nAnswer: 3*d**2*h**2*j**3 - 58275*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 18481.23?\nAnswer: -18481.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -2 (b) -0.06 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let h(g) = -4*g. Suppose 0*u - 4*u = -72. Let r(z) = u*y(z) + 4*h(z). Let k(l) be the first derivative of l**2 + 8. Calculate r(k(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/15 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264945.\nAnswer: 5, 11, 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Let v be 3 + 0*(-6)\/(-54). Suppose -15 = -p - 2*p. Suppose p*x = -5 + 125. Let k(f) = f - 8. What is v*k(b) + x*i(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 173, 589, 1391, 2705, 4657?\n\"Answer: 21*u**3 + 4*u**2 - 3*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2630, -5439, -8258, -11093, -13950, -16835, -19754?\nAnswer: -22713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -152. Let z = -231\/2 - -115. Which is the nearest to f? (a) z (b) -0.6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**6*i*i*i*i**(2\/3)*(i**(-2)*i*i)\/(i**(-7)*i) assuming i is positive.\nAnswer: i**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 x when three letters picked without replacement from {x: 5, n: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -57, -99, -145, -189, -225, -247?\n\"Answer: a**3 - 11*a**2 - 6*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 26 + 14 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 + 0*y**2)*(1 - 1 - y) - 2*y**3 + 2*y**3 + y**3 - 194*y**3 + 53 - 53.\nAnswer: -191*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 865.046 decades?\nAnswer: 86.5046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(330\/(-682)) - -9. Let m(x) = x**3 + 7*x**2 + 5*x - 5. Let u be m(-6). What is the fourth smallest value in 3, k, 6, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 7:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (97 - (-35 - -67)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**3*v**3 - 8*n**3*v**2 - 63*n**3 + 2994618*n*v**3 - 2*n + 6604 wrt v.\nAnswer: -24*n**3 + 17967708*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -981000 rounded to the nearest 10000?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + 0*p**5 - 2*p**5 + p**5 + 2*p**5 - p**5 - 2 + 2 - 2*p**5 + (6*p - 2*p - 3*p)*(2*p**3 - 2*p**3 + p**4) + 3*p**5 + 3*p**5 + 0*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5408\/117)\/16 + 1*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8823 = -2*p - m, 0 = -2*p + 16*m - 14*m + 8802. Calculate the lowest common multiple of p and 3857.\nAnswer: 30856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6.8. Let n = -5.3 + b. Let k = n - -4.5074. Round k to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 + v**3 + 2*v**3 + 4*v**3. Let r be j(1). Solve 2 - 4 = -r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 - 3*m**2 + 3*m. Let c(h) = 15*h**3 + 10*h**2 - 10*h. Let n = 2206 + -2203. What is n*c(y) + 10*t(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3 - 10*i - 1 - 6. Suppose 0 = -s + 4 - 2. Suppose -16 = -s*n + 2*q, -48 = -3*n - 8*q + 3*q. Let m(l) = -2*l - 2. Calculate n*m(x) - 2*h(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 3 = 24*u, -5*i + 4*u - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2154 or -2152?\nAnswer: -2154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682 divided by -31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Let r = g + -3.1. Let h = 884 - 880. Which is the closest to r? (a) 0 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*d - 352*d**3 + 694*d**3 + 3*d**2 - 343*d**3 + (13 - 13 + 2*d)*(0*d**2 - d**2 + 0*d**2).\nAnswer: -3*d**3 + 3*d**2 - 45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -186409 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648739955 + -0.230982?\nAnswer: -3648739955.230982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/109600 and -149\/41100.\nAnswer: 328800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -t + 8*h - 20, t = -2*h - 5. What is the third derivative of -10*q**t - 2*q - 124*q**3 - 46*q**2 + 3*q**2 + 120*q**3 wrt q?\nAnswer: -600*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*k - 4*q, 3*q - 57 = -7*k + 3*k. Suppose -b + k = 4*b. Suppose 2*l - 84 = -3*r + 69, 0 = b*r - l - 162. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 347658475?\nAnswer: 347658478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1766704280+0.15\nAnswer: 1766704280.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 5075.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32312 + 32375. What is the remainder when 741 is divided by p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -69 and 7598 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-2)\/4)\/(4\/512*24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 32509?\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 11*a - 43. Let u be j(14). Let g(t) = -164*t**3 + 3*t + 2. Calculate the remainder when g(u) is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 - 2*q**3\/3 + 5*q**2\/2 - 41*q. Give f(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 - d**4\/3 + 5*d**3\/6 - 2*d**2. Let b be v(8). Solve -2*i - 5*s - 2 = 0, 2*i - 4*i = -b*s + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 30)*((-2)\/(-88))\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**4 + 5*q**3 + 3. Suppose 12 + 22 = 5*f + 3*u, -u = 3*f - 18. Let m(w) = -w**3. Let g(d) = f*m(d) + c(d). What is the derivative of g(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 46 + 18 = 0. Let s be (-27)\/(-12) + -3 - 88\/i. Solve 0 = -s*p - 2*l + 16, 2*l - 1 = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 4 (c) 1 (d) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1.1 (c) -5\/3 (d) 105 (e) -14\/3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/45 - 4025\/9. Round p to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2649 - -2664. Solve u = 4*d + x, -12*x = -13*x - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**4\/12 + 4*u**2. Let t(n) = 11*n. Determine y(t(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.8937l to millilitres.\nAnswer: 3893.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12300 times -0.088\nAnswer: -1082.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1410, -1549, -1688?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*w - 12*o, -14*o - 11*o + 23*o = w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-4) + 2)\/((-2)\/4). Solve -13 = 2*o + n*j, 4*j - 2*j = -2*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:32 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -39. Suppose w*d + 75 + 729 = 0. Let m = d - -281. What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1649.84 + 1621. Let r = 29 + p. Let z = -0.71 + r. Round z to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d = -44*d + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.031 - -0.011. Is 3 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5\/2 + 1692*w**4 + 18813*w**3 - 22194*w**2 - 37623*w\/2 + 20502 = 0.\nAnswer: -12, -1, 1, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/14)\/(-1))\/(76\/1672).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u. Let i(l) be the first derivative of 8*l**3\/3 - 11*l**2\/2 - 2. Let j = -3395 + 3373. Determine j*h(y) - 2*i(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212210210010221101 + -10?\nAnswer: -1212210210010221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -2.7. What is the third biggest value in v, 9, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2110, 4850, 7590, 10330, 13070?\n\"Answer: 2740*p - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - r**2 - 7*r**2 + (-2*r + 5*r + 0*r)*(-r + 0*r - r - 2).\nAnswer: -10*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 15944*g**2 + 31824170*g + 190371468.\nAnswer: 2*(g + 6)*(g + 3983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - 10*h + 2. Let z be q(5). What is the greatest common factor of z and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 + 5)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*m + 25, 0 = 2*m - 7*m + 5*l + 115. Let j be (m\/(-105) - (-1)\/3) + 0. Which is bigger: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 252*r**4 - 7*r**2 + 2*r + 925. What is the second derivative of b(l) wrt l?\nAnswer: 6048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2 + 23*i + 17*i**2 - 1 + i**3 + 18. Let q be 38\/4*10\/(-5). Let x be o(q). Round x to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 14836*d**2 + 36*d + 133524.\nAnswer: -4*(d - 3)*(d + 3)*(d + 3709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lblbl. What is prob of picking 3 l and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 - 5.7. Which is the third smallest value? (a) 0.1 (b) z (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*f + 2315 + 2218 = -439 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 2193441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15395 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -9 + 2 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -1770, -3910, -6884, -10698?\nAnswer: -15358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 8*k - 15 - 2*k**2 - 10 - 15.\nAnswer: -2*k**2 + 8*k - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j*j**(-1\/19)*j*j))\/j**(2\/33) assuming j is positive.\nAnswer: j**(-1259\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*p**2 - 17*p**2 + 126*p**2 - 43*p**2 to h*p**2 + j*p + t and give h.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*m**4 + 5*m**5 + 16*m + 20*m**2 - 20*m**3 - 1821*m**4 - m**5 - 14 - 2 = 0 for m.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m**(-2\/11)*m*m**(1\/2)*m*m\/(m*m**9\/m*m))\/(m*m*m**(1\/6)\/m*m*m*m*m\/(m\/(m*m**1))*m**0*m*m\/(m**(-2\/7)\/m)) assuming m is positive.\nAnswer: m**(-3727\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -343 (b) -0.1 (c) -2 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4 = 4*z, 4*i - z - 7242 = -7241 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/((-5635)\/(-138))*6\/(-16)*(-119)\/(-102)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, -47, -189, -333, -479, -627?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -204254684 times -2?\nAnswer: 408509368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262634578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 + p. Let o(h) = 22*h**2 + 11*h**2 - 61*h**2 + 16*h**2. Give g(o(u)).\nAnswer: 1152*u**4 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234311\/527 smaller than 2341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6706, 27430, 61982, 110356, 172546, 248546?\nAnswer: 338350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 3*g - 3*g - 5 + 2*g**2 + 2. Let t(r) = 2*r**2 + r - 2. Determine 5*t(m) - 4*w(m).\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -20*m**3 + 9*m**2 + 83*m - 135. What is the ten thousands digit of n(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 11968474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(((-46)\/(-11040)*352)\/(3\/(-10)))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 137?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -702 + 725. What is the biggest value in -3, 13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2 - 5*n + 3*n - 2. Suppose -4*l = -r - 6, 0*l + 3*l = -5*r - 30. Let a(z) = -8*z. Let b(k) = -7*k. Let q(i) = r*b(i) + 5*a(i). Give q(m(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {z: 1, v: 4, c: 1, g: 1, t: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from zzzpzppzzzzakzzzkpza?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 179\/(-60) + 5 + -2. Let u(h) be the third derivative of 0*h + 0 - 1\/240*h**6 - l*h**5 + 0*h**3 + 7*h**2 - 1\/48*h**4. Solve u(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11920.636 rounded to the nearest 10?\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -289*d**2. Let b(r) = 26*r**2 - 3254. Give b(k(c)).\nAnswer: 2171546*c**4 - 3254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, m: 12}. What is prob of sequence dddm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*r + 243*r - 476*r - 1042*r**2 to x + o*r + h*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8439667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53699939 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.5 (c) 1\/37 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. What is the closest to -0.1 in -0.1, h, 4\/83, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49060 or 50065?\nAnswer: 50065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673505519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 15}. Give prob of picking 2 l.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - -384. Let i = b + -254. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 - 0.47. Let w = -11 - -11.36. Let n = w - j. Put 1, -5, n in increasing order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 70 = -23. Let u = r + -17. Which is bigger: u or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*y - 1359 + 1359)*(-8*y**4 - 7*y**4 - 6*y**4).\nAnswer: -3423*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven halves of a litre in millilitres?\nAnswer: 33500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnaa when four letters picked without replacement from jacjnjja.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 151*s**2 + 3776*s + 15. Calculate d(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5227504, 10455007, 15682514, 20910025, 26137540, 31365059, 36592582?\nAnswer: 41820109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3490 or 3487?\nAnswer: 3490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*n - 44924, 0 = 3*n - 192*d + 191*d - 67442. What are the prime factors of n?\nAnswer: 2, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-6)*(-8)\/10. Suppose -4*h + a*h = -14. Suppose h*z = 9*z - 62. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-27) - 4888\/(-987) - (-138)\/(-42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 5*h**3 - h**3 + 2*h + 5*h**3 - 114700 - 8*h. Let u be t(0). Round u to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**2*g**2 - 2*c**2 + 28205*c*g**2 + 2672675*c*g wrt g?\nAnswer: 16*c**2 + 56410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllklke. Give prob of picking 2 l and 1 e.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052302 to five decimal places.\nAnswer: -0.00523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (-34)\/(-323) - 6720\/(-57) - (-2 + 1).\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 18. Suppose 5*q + 12 = -l, 4*l - 3*l - 5*q = i. Sort -4, l, 0.5.\nAnswer: -4, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + ((-276)\/(-15))\/(-4). Let s = 1 - 4. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2. Let r(j) = j - 1. Let c(l) = -8. Let f(s) = c(s) - 8*r(s). What is f(o(p))?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89462221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 5. Let d(k) = 1. Let j(i) = 20*d(i) - 4*s(i). Let a(b) = 14*b. What is j(a(z))?\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)*u)\/u)**(-2\/19))**41 assuming u is positive.\nAnswer: u**(82\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 17. Factor 4*y**4 + y**2 + y**4 - 4*y**4 + 7*y**2 - 5*y**q - 4*y.\nAnswer: y*(y - 2)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxyxyyyxnxaaxyx. Give prob of sequence yxxy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2469*u - 66*u**3 - 979*u**3 - 848*u**3 - 2803*u + 4053*u wrt u?\nAnswer: -11358*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19026377?\nAnswer: 19026377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*u = 3, 4*r = u + 15 - 14. Let x = -4816\/17 - -283. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3)*(-18)\/12. Is (-11 - 0)\/(q\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = -4*z - 1, -11 = -4*t + 3*z. Suppose 2*c = -3*g + 2*g, t*g + 5*c = -2. Is 16 a factor of (-4)\/(-2)*(4 + g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/120)\/(3\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63203 (base 7) in base 12?\nAnswer: 8ba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23030 (base 4) to base 11\nAnswer: -5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304010.\nAnswer: 2, 5, 7, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (22 - 14 - 20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p*y**4 - 17*p*y**3 - 2*p*y**2 - 2*p*y + 3*p + 7*y wrt y.\nAnswer: -84*p*y**2 - 102*p*y - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.886 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 200 = 0. Let z(f) = -4 - 12 - 4 - 3*f - 7*f. Let h be z(-4). What is the highest common divisor of h and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3576817 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -643*r**3 + 16*r**2 - 3*r + 31054 wrt r?\nAnswer: -3858*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -255\/2 + 142. Is 15 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a2c3 (base 13) to base 6.\nAnswer: 4433334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:43 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/97 or 1?\nAnswer: -3\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.13811 micrograms to milligrams.\nAnswer: 0.04713811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*l**4 + 7570*l**3 - 33*l - 24851?\nAnswer: 1452*l**2 + 45420*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ad8a5 (base 14) to base 9.\nAnswer: 1722005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 478 + -163. Let c = 74 + 302. Suppose -v + c = -x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, and 1 d when three letters picked without replacement from vveveedpeedpd?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*t**3 + 2 + 4 - 6 + 568*t**3 + 339*t**3.\nAnswer: 304*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 40*v = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(12)\/sqrt(3)*2)\/(sqrt(18)\/(-2*sqrt(1089))).\nAnswer: 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -27, 0.1, -290, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20033 is divided by 316.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48443 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: List the prime factors of 3046635551.\nAnswer: 47, 4999, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65\/7 - -9. Sort s, 31, -5.\nAnswer: -5, s, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/888 and 107\/342990?\nAnswer: 1371960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3090a5 (base 11) to base 15.\nAnswer: -9bb17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -0*h - 5*h. Suppose -k = -1 - h. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 436 and 15573?\nAnswer: 6789828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmqiaau. Give prob of picking 1 u, 1 m, 1 v, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 + z**4\/6 - 17*z**3\/6 - 38*z**2. What are the prime factors of y(6)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 2)*(2 + 0 - 4)*(-2*k**3 + 3*k**3 + k**3).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/5, -239, 2\/7.\nAnswer: -239, 2\/7, 32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*3 + -1 - ((sqrt(80)\/sqrt(4))\/sqrt(10) + sqrt(24)\/(sqrt(36)\/sqrt(3))).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1575)\/(-14))\/(-15)*-166.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:40 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 times 10\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 7. Let o be q(-8). Let i be o\/((-1)\/8*2). Suppose -5*m + 4*j = -30, 2*m + i*j + 26 = 5*m. Which is the nearest to 0.1? (a) -3 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -20 + (-19 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 + -214. Solve -h + j = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*g + 143*g - 28 = 0. Solve -6 - 2 = g*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 9 - 3\/8*m**5 - 75\/8*m**2 + 45\/8*m**3 - 21\/4*m + 3\/8*m**4 = 0.\nAnswer: -4, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124a (base 12) in base 4?\nAnswer: -200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/(-99))\/(-6))\/(4\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 1 - 1)*(6*z - 5*z - 2*z) + (3 + 3 - 4)*(-z**2 + 3*z**2 - 5 + 0).\nAnswer: 3*z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 111*b + 192. Is 62 a factor of i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - x = -3, 12*f + 4 = 11*f - 2*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 4. Let t = 435 - 463. Put -4, t, c in decreasing order.\nAnswer: c, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 357*w - 1340. Determine j(5).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.4, -86, -108\/565?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114264432 (base 7) to base 14.\nAnswer: -d30819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.249 from -45.5213.\nAnswer: -36.2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - 10. Let x = i - -86. Let n = x - 26. Solve n*a - 25 = -0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*r + 119. Suppose -l + 2 = -3. Calculate the remainder when r is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270 + -270.22. What is the smallest value in -3\/2, d, -1\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*w + 48 = 73*w. Calculate the remainder when 573 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9230 = 6*h + 12046. Let s = -35419\/10 - h. Calculate the common denominator of s and 43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/144 and 1\/1136.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 706395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 8 = -32. Suppose 3*h - 4*b = y, -4*h - 2*b = h - 50. Solve -h = 4*c - 6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 - (-4 - (-99572)\/(-992))\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33400 + -2839033\/85. Find the common denominator of h and -67\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38061 by -12687.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f - 3. Let n be g(9). Let o = n - 21. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)*-1)\/(-1*sqrt(99))*-2*6.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g + 46 + 17 = -27. Let v(h) = h**3 - 8*h - 16. Calculate v(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*v = -7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = -2*c - 5, t = -c + 5. Let b be (((-110)\/8)\/t - -4)*12. Find the third derivative of -b*i**4 - 30*i**4 + 47*i**2 - 51*i**2 wrt i.\nAnswer: -1080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6919b + -b?\nAnswer: -691aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 + -83. Suppose 0*x - 3*x + 162 = 0. Let n = r + x. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 5. Let s be i(11). Suppose -s = -v - r - r, -6 = -3*r. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*y = -y - 1870, r + 5*y = 350. Suppose q = 2*v + 90, 5*v = -0*q - 5*q + r. 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: Let o(q) be the first derivative of 461*q**5\/5 - 35*q**2\/2 - 5*q + 630. What is the second derivative of o(j) wrt j?\nAnswer: 5532*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4739, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-75)\/2)*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2*p + 2. Let k(v) = 2*v + 16. Let x be k(-9). Let h be f(x). Find the second derivative of 7*d**5 - 14*d**5 - h*d**5 + 8*d wrt d.\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2018 = 5*d + 2*h, -3*h + 1 = -2*h. Let y = d - -536. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605130 by -121026.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 20345\nAnswer: 4069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -45965 smaller than -45960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*z + g, 4*z = 4*g + 8 - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 20. Is (z\/18 - 56286\/(-324))*6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose 0 = 4*w - 2*g + s*g - 104, -5*w - 5*g + 130 = 0. Calculate the greatest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/12*(-3)\/(-2). Is 0.2 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1556*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -14, -7, 0.5, -1276?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/7*w + 2\/7*w**2 + 32\/7 = 0. What is w?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019931074 rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 5\/20*-10. What is the nearest to -2\/3 in 5, c, -10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29978 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.7662 or -8938?\nAnswer: -1.7662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20152 and 1374.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 * 426302.\nAnswer: 45614314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(3146))\/(-1*(sqrt(4)\/sqrt(2) + sqrt(2))).\nAnswer: -1 + 33*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(3564\/(-330))*4\/(-270).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145.4 + 133. Let q = -12 - t. What is the smallest value in -1\/2, -0.4, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-16)\/44) + 0. Suppose 4*t = -2*v + 14, -3*v = -t - 3*t - y. Factor -5*p - 3*p**2 - 7*p + 18 - 8*p + v*p.\nAnswer: -3*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8))**39*m**19\/m**(-2\/13))**(-34) assuming m is positive.\nAnswer: m**(129438\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34002 (base 6) to base 3.\nAnswer: -20112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 24. What is the first derivative of -3 + p - 2*s**3 + 7 + 0 wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*(-195)\/(-10). Let w = o + -21. Let y(u) = u**3 + 10*u**2 + 5*u - 11. Let q be y(w). What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.7305692 rounded to one decimal place?\nAnswer: -87.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-38) assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55629538*o**2 + 68381*o - 68381*o + 55629544*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002176797227 rounded to six dps?\nAnswer: 0.002177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/505197 and -25\/12?\nAnswer: 2020788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r + 105. Let k be q(-23). What is the greatest common factor of k and 286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {l: 5, w: 4, u: 3, a: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13124 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, 17, 15 in descending order.\nAnswer: 17, 15, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3479 = -365*u + 8566 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -10)\/(-1*2). Suppose 6*q - 3*q - n*s = 3, 3*s - 3 = 0. Solve -6 = 3*u + q*b, -4*u - 2*b = -b + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 - 52*r - 17*r**2 - 10*r**4 + 0*r**5 + 24*r**3 - 3*r**5 + 33*r**2 - r**5 + 24 = 0. Calculate r.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -93. Let k = t + -130. Is 28 a factor of (-7)\/2*k\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53*(-134)\/17755*170.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10010 + 40323101?\nAnswer: 40333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -102, -185, -268, -333, -362, -337?\n\"Answer: 3*b**3 - 27*b**2 - 5*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23198669602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2397 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 3 + 6*j + 4 + 0*j.\nAnswer: 6*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/25 and -52\/89145.\nAnswer: 445725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -3\/4, -2\/9, 0.053 in decreasing order.\nAnswer: 0.053, 0, -0.2, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1491439, 11931128, 40267435, 95448670, 186423143, 322139164?\n\"Answer: 1491385*i**3 - i**2 - 3*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*r + 11, 4*o - 19 = 2*r + 3*r. What is the nearest to 0.1 in o, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**2 - 22*h**2 - 23*h**2)*(2*h - 2*h - 2*h) + (h - h + h**2)*(-3*h - 2 + 2).\nAnswer: 35*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (5 - (12 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/32, -13, -208 in ascending order.\nAnswer: -208, -13, 1\/32, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i + 89*i + 5*j + 10 = 0, -5*j + 35 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 12 = 2*s, 2*s + 8*q + 140 = 176 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 3*c - 6. Let w(p) = p**2 - 1. Give -j(d) + 6*w(d).\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(sqrt(33)\/sqrt(3)*-2 + sqrt(11)) - (5 + sqrt(33)\/(sqrt(15)\/(sqrt(15)\/sqrt(3)))))**2.\nAnswer: -70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (-6 - -4) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4737352 + 5?\nAnswer: 4737357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*n - 1 - 47*n - 4*n**4 + 0 + 0*n**4 to the form a*n**4 + s + f*n + v*n**2 + l*n**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y**2 - 77*y**2 + 22*y**2 + 15*y**2 + 6.\nAnswer: -4*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -3.8, 3?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(77)\/(sqrt(11) + (sqrt(176) - sqrt(11))) + (sqrt(7) + -1)*-5)*6)**2.\nAnswer: -1068750*sqrt(7) + 16464375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 11897048*c - 17692468889288.\nAnswer: -2*(c - 2974262)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmj. What is prob of sequence mmjm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9786122200 to the nearest one million.\nAnswer: 9786000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/6*v**3 + 1\/6*v**4 + 183*v - 1\/20*v**5 + 0 - v**2. Determine m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-84))\/((-3)\/(-8)))\/((-4)\/(-66))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 6*v - 3. Let n(r) = 254*r - 1266. Let i be n(5). Let a(w) = w**2 + w + 1. Calculate i*a(p) + b(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 22*b**2 + 1649*b - 44. What is the remainder when 679 is divided by x(-75)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 40 = -5*j - 2*t, 3*j - 41 = -0*j - 2*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*t**3 - 6\/7*t**2 + 32\/7*t + 24\/7 + 2\/7*t**4.\nAnswer: 2*(t - 6)*(t - 2)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218 - 955. Let i = 731 + b. Let w(v) = -v**2 - 5*v + 8. Determine w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2da9 - 2d9?\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -78. Which is the second smallest value? (a) -2\/3 (b) t (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/115651 and -47\/27115.\nAnswer: 184463345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 186*x + 1795. What are the prime factors of j(-8)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 47*n**2 - 12 + 20*n**2 + 31*n**2 to p*n**2 + j + i*n and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-16)*(-13 + 1). Suppose -7*w + 10 = -2*w. Let h = w + u. Let l(g) = g**2 + 4*g - 3. Determine l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 21*j**2 + 286*j + 244. What is n(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18692 + -92032\/5. Let l = u + -11289\/40. What is the common denominator of -79\/20 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyonnybook. What is prob of sequence ooo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 719 and 4247 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 11*c - 10. Let u be m(-8). Let h = -7 - u. Suppose 2*z - h + 23 = 0. Solve -3*l = 5*o + 35, 0*o - 4*o + z*l = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/3 - a. Let g(y) = 9*y**2 - 6*y**2 - 4*y**2. Determine g(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-195)\/(-5) + 0)*-1. Let u = -70 - n. Let k = u + 91. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, 2\/3, 0.004 in decreasing order.\nAnswer: 2\/3, 0.004, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*a + 4*a + 14*a)*(-2*a**2 + a**2 + 3*a**2) + ((-3*a - 2*a + 3*a)*(2 + 0 - 5) + 5 - a - 5 + a - a + 2*a)*(0 + 0 + 2*a**2).\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose -j*o - 44 = o - 2*l, -2*o - 22 = -3*l. Let i(a) = -a**2 - 7*a + 11. List the prime factors of i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277598653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i**2 + 4*i + 2. Let w be v(-1). Suppose w*m - m = -27. Suppose -30*q + m*q = -138. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 220136 or 220138?\nAnswer: 220138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7500.866ms to microseconds.\nAnswer: 7500866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = -5658 + 5724. Solve -y*t + 13 = -14*v + 10*v, -5*v = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 20. Let u be o\/(-30) + 0 + 0. Which is the closest to 0? (a) -5 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -0.1, -1\/22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + 3*sqrt(833))*-6) + sqrt(833).\nAnswer: 182*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 8579070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**3 + 6*d**3 + 431 - 210 + 20*d**3 - 214 to k*d**3 + q*d**2 + u + x*d and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 128*p + 1154. Calculate a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/17 (b) 4\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 3*h + 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 3*l**2\/2 - 3*l - 3. Let z be f(2). Suppose 3*x - 791 = -5*j, -481 = -z*j - 3*x - 2*x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1899 to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 - 4*q - 6. Let r be n(5). Suppose 0 = -4*i + 2*l + 3*l + r, -2*i + l + 56 = 0. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**3 - 6*r**3 + 2*r**3 + 313*r as k*r**2 + a + f*r**3 + s*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11110001100 (base 2) to base 10\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 1, k: 5, m: 4, v: 5}. Give prob of sequence vyvz.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 7:51 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y - 144. What is k(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - k + 575. What is the tens digit of q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.87992 minutes in hours?\nAnswer: 0.831332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402617659?\nAnswer: 402617659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -45 (c) 1 (d) -2\/9 (e) 0.2 (f) -44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l - 77. Let z be m(-6). Which is the third smallest value? (a) 5\/2 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 75, -6, 22, -5 in increasing order.\nAnswer: -6, -5, 2, 22, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 6734*j + 2743*j)*(-4*j**2 + 0*j**2 + 3*j**2) as i*j**3 + s*j**2 + x + o*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 5, m: 1, a: 1, k: 3}. Give prob of picking 2 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chj when three letters picked without replacement from cjhchhihhcxixiigchhx.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26272 - 26270. Solve x*d + 2 = 2*i, -5*i + 2*i = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2469907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 0*t**4 + 11 + 4\/5*t**5 + 0*t**3 - 11*t + 0*t**2. What is the first derivative of i(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 704 (base 10) to base 6\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*o + 4 - 8, 9 = 5*j + o. Suppose -18 + 3 = -3*c. What is the second derivative of -j*h - 9*h - c*h**2 - 2*h**2 - 5*h**2 wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(57)\/sqrt(3)) + 1 + 2 + (sqrt(931))**2.\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1116\/63 + (-2)\/(-7). Solve i + 8 = -3*g, 5*g = i - 6 - b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4363 - 2803322158.\nAnswer: -2803317795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282776 a multiple of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42260 times -1?\nAnswer: -42260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21469631 divided by -4?\nAnswer: -21469631\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 78.3, -2, -4, 0 in ascending order.\nAnswer: -4, -2, 0, 2\/3, 78.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1167 or 0?\nAnswer: 4\/1167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - 0 - ((0 - (21 + -33)) + (10 - 24)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 541102781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*k, 1 = -4*j + 2*k + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 6 - -2 - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 48*y + 8. Let z be m(4). Suppose 4*l = -2*x + 224, z = 4*x - 2*x - 4*l. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 5. Let o be a(4). Let y be ((-8)\/4)\/((-3)\/(-6)). Sort o, 4, y, 3.\nAnswer: o, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 9*i - 388 = 0. Find the common denominator of (2\/8)\/((-3)\/i) and (2\/(-12))\/(8\/153).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 260, 2489, 8676, 20801, 40844?\n\"Answer: 330*f**3 - f**2 - 78*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31632 divided by -4.\nAnswer: 7908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/120 + d**5\/10 + d**4\/12 - d**3 - d**2. Let x = -4 + -1. What is the units digit of u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 756 + -738. Are g and 19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -1\/2, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*h**2 + 124*h**2 - 474*h**2 + 120*h**2 + 120*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11960*d + 2. Let w(z) = -17*z**2. Calculate g(w(i)).\nAnswer: 203320*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-594)\/(-726) + (-4)\/(-22). Let j be -4*m + (-32)\/16. Which is greater: j or -23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325082781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-9)\/(-6)*(-12)\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(117) + -6*sqrt(117) + 0 + 2 - -4*(2 + 2 + sqrt(117) + sqrt(117)))).\nAnswer: 36 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + 1 - (-3 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 12, b: 3, u: 1, e: 2, h: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (15 - 5) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/2 + 25*w\/2 = 0.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 7*s**3 - 22*s**2 - 128*s + 288 = 0.\nAnswer: -4, 2, 36\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 7. Suppose -18 = -5*t + 3*t. What is the tens digit of p(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/15)\/s)\/s**8 assuming s is positive.\nAnswer: s**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 12 = 125*l - 695*l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 12*d**2 - 24*d - 26. Let q(p) = p**3 - p**2. Let y(f) = -m(f) - 3*q(f). What is the remainder when 21 is divided by y(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:13 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:14 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 2*y)*(-2*y**4 + 13*y**4 + 2*y**4).\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -114153 (base 6) to base 3\nAnswer: -111201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1437?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - (-161)\/(-21). Let f = 15 + r. Let g(p) = p**2 - 5*p - 13. Let j be g(f). Calculate the highest common factor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 + 7?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4405\/39 + -113. Let q = -53\/273 - o. Is q greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2717 times -6\nAnswer: 16302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahdgdadgawqahq. What is prob of picking 1 g, 1 a, and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b - 5. Calculate the least common multiple of 28 and (2 + 15\/(-10))*(b - -69).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -42.3, -141\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1225))\/sqrt(5))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.69188*0.28\nAnswer: -0.1937264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132301 (base 4) to base 12.\nAnswer: -1181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -8, 9.\nAnswer: -11, -8, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -29, -4, -5 in descending order.\nAnswer: 2, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32 and 0.8144?\nAnswer: 31.1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -629*n + 85. Let p(j) = 30*j - 4. What is -4*c(f) - 85*p(f)?\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30810*q + 61615*q - 30805*q + 2553*q**3.\nAnswer: 2553*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2598953350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Suppose l + 3*z - 4 = -19, -t*l = 4*z + 25. Let q(j) = -3*j**2 + 3*j - 5. Let n(d) = 3*d**2 - 4*d + 6. Calculate l*n(y) - 4*q(y).\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -471570 and -471061 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 396 = t. What is the remainder when 104 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5411293.87 to the nearest 100.\nAnswer: 5411300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*b)*(-3 + 3 + 1) + 0*b + 2 + 7 - b in the form j + i*b and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 322791 + 127209. Round i to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 1. Let o be y(-1). Let p(r) = r**3 + 8*r**2 + 4*r - 8. Let m(b) = -b**2 + 1. Let d(n) = 3*m(n) + p(n). What is d(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -222, -238, -270, -318?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9058*d + 63410. What is k(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6 = 2*x. Suppose 4*q = -2*f - 9539 - 16069, -38392 = x*f - 4*q. Round f to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (-403)\/124. Let z(s) = -s + 6. Let f be z(4). Sort 5, g, f, -6 in decreasing order.\nAnswer: 5, g, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 67*x - 32*x + 40*x + 60*x. Let h(b) = 8*b**2 - 3*b + 6. Let t(r) = -18*r**2 + 7*r - 14. Let f(p) = -7*h(p) - 3*t(p). Determine f(c(a)).\nAnswer: -36450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -174269 or -174307?\nAnswer: -174269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109\/7 - -1009\/63. Let a = -0.9 - 2.1. What is the biggest value in x, a, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 219 + 7. Let h = 55 - v. Suppose -5*z + 3*z - l + 393 = 0, z + h*l = 189. What are the prime factors of z?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r + 154. Let b be p(14). Let j = -3 - -5. Suppose -j*w + 8 = -b. Solve 3*k - 5*u = 6, -2*k + 3*u + w = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193391580 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((240002\/948)\/(-217))\/((-7)\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 3 + 89*o - 6*o + 16*o.\nAnswer: 93*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/494 and (-4 + 1367\/342)*(-17 + -20).\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 8*b**2 + 12*b - 2. Determine f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/12*(9 - 45\/6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5072, 10161, 15260, 20375, 25512, 30677?\n\"Answer: p**3 - p**2 + 5085*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292971985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1377) + sqrt(1377))**2*5 + -5 + 0 + ((-1 + sqrt(1377) - sqrt(1377))*-3 + sqrt(1377) + 1 + -2 + sqrt(1377))**2.\nAnswer: 252*sqrt(17) + 33052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 30225?\nAnswer: 60450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 83614544*d**2. Let h(x) = 6*x. What is l(h(q))?\nAnswer: 3010123584*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4 (c) 115\/16669 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 134db - 13aa?\nAnswer: 12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 - 6) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - (5 + 1 + 2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 19*f - 179. Give t(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9916*j**5 + 2*j**4 + 2842*j**2 wrt j?\nAnswer: 594960*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 99*o**2 - 492*o + 10. What is t(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111101001100001000 (base 2) to base 5\nAnswer: 31010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let v(b) = -460*b. Calculate r(v(y)).\nAnswer: 460*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 + (-11)\/(77\/(-42)). Solve 7*j + 28 + t = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3822, 179, -25 in decreasing order.\nAnswer: 179, -25, -3822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 31 = -50. Let y = -98 - -96. Put y, -3, 2, r in descending order.\nAnswer: r, 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3*v**3*y - 3*q**3*v**2 - 2*q**3*y**3 + 2*q**2*v*y**3 + q*v**3*y**3 + q*v**2*y**2 + 7*v**3*y**3 wrt q?\nAnswer: 18*v**3*y - 18*v**2 - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172756805 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4)\/m*m*m*m**(-1\/3))**(-13))**(-22\/9) assuming m is positive.\nAnswer: m**(1573\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 8, 2*p - 26 = -q + 12. Calculate the remainder when 3975 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3446*u + 68 = -10*o + 3450*u, -2*o + 5*u = 127 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 15*a - 26. Let j be 2\/6*(-34 - -1). What is the units digit of h(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 161. Let c = k - -60.7. Let l be (9\/(-15))\/((-6)\/(-16)). Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -5*s**4\/24 - s**3\/2 + 26*s**2. Let o = -8 + 6. What is w(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15116 + 14031*v**2 + 15116.\nAnswer: 14031*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162736001 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**4\/2 + 307863*k**3\/2 + 461817*k**2 - 923604*k - 1231488 = 0.\nAnswer: -4, -1, 2, 102624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-746*t + 0 + 0 - 563*t)*(t + 4*t - 4*t) to the form d + q*t**2 + v*t and give q.\nAnswer: -1309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f = 51*f - 5. Calculate the least common multiple of (-134)\/(-10) + f + 9\/15 and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -0.2, 0, 2\/17.\nAnswer: -0.2, 0, 2\/17, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4d7d (base 15) to base 16\nAnswer: -409f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 3. Let t be q(0). Suppose j + 12 = -t*j. What is the common denominator of -21\/22 and j\/4 - (-21)\/(-140)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c = 2*m + 46*c - 34, -m - 28 = -3*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 + 2*c + 1. Calculate the remainder when 25 is divided by l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 - 18*h. Calculate u(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*q = -12, -2*q + 3*q = 4. Suppose c*z + z + 69 = -4*i, -3*z = -3*i - 57. Let l be (i\/(-4) - 4)\/2. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 1 - (-2691 + 2679)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13132000412 (base 5) to base 11.\nAnswer: -9210474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*u - 5674, -6*s + 3*s + 8526 = 3*u. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 12, 1\/116, -0.3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1902784 and -113\/2112.\nAnswer: 62791872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.057029 + -0.057. What is a rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*u = 3, -7*c + u = -2*c - 17. Let o = 6 + 0. Calculate the lowest common multiple of o and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.828 - -0.172. Which is the nearest to 2\/11? (a) -0.4 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954 + 50184.23?\nAnswer: 54138.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20292 - -45118. Suppose -6919 = -5*r + g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o, 20 = 3*s + 2*o + 1. Solve -3*k - 3*t = 0, 3*k - 5*k = 3*t - s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sccsccccssc. Give prob of sequence css.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 148180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108 - 7*d**2 - 209 + 115 to the form v + n*d**2 + y*d and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 - -221. Let k = 217 + -217.5. What is the second smallest value in 0.2, y, k, -9\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*i + 498*i - 14459 = 0 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75286490.\nAnswer: 2, 5, 37, 283, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 32*d**3 + 1 - 1 + 6*d**4 - 31*d**3 to z*d**4 + b*d + v + l*d**3 + n*d**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29803732 divided by -126287.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -66. Let j = -66 - -69. Let b(w) = -6*w + 5 + w**3 + 6*w + 0*w**j + 5*w**v - 5*w. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -911*p**3 - 12*p**2 + 13*p + 301. Is v(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 13*r + 6. Give t(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 5099.\nAnswer: -33\/5099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 + 3*f - 125. Let l(y) be the second derivative of y**3\/3 - 4867*y. Determine l(a(z)).\nAnswer: 10*z**2 + 6*z - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-5) + (-4)\/(-10). Let o be (-8)\/(-3)*36\/24. Suppose -o*l + 5*l + 2 = 0. Sort r, -4, l in ascending order.\nAnswer: -4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/7)*(t**20*t)\/t*t\/t**(1\/8)*t\/(t*(t\/(((t**(-1\/3)*t*t)\/t*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(3403\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-8)\/(-48)*(-5 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5095 divided by 5.\nAnswer: -1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/(-114)*(-544)\/85?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Let v(o) = o**2 - 4 + 6*o**2 - 2*o**2 - o**3 + 3*o + 2*o. Does 6 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + f - 23 = 0, 10*t = 13*t - f - 9. Suppose -5*m = -3*g - 27530, -t*m + 0*g = 3*g - 22051. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 + 3 = 2*n, -4*n = -t + 10. Suppose -t*i = -5*i - 7. Let b = -14 + 18. Solve i = 3*u + 1, 3*o + b*u - 23 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1192)\/1490*(-75)\/(-72).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o + 3 + o - 3*o. Let b be d(3). Let g be ((-12)\/b)\/((-6)\/15). Which is greater: g or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -5*c**3\/6 + 54*c - 1. Let u(d) = 2*d**2. Give u(b(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 12921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen ninths of a week?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 1. Is c(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -52 - (-3 + 0 + -16)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b - 16. Suppose 3*s - 13 = p, -2*p + s - 7 = -3*p. What is the least common multiple of b and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3406 divided by 1703\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (2\/(-3))\/((-6)\/(-9)). Solve y - 5*y + 16 = 4*v, 5*v - 2*y + 8 = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*q - 7, -4*p + 2 - 7 = -5*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 - 174*g**4 + 213*g**3 + 30204*g**2 - 30240*g = 0.\nAnswer: -56, -15, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1692096, -3 in decreasing order.\nAnswer: 3, -3, -1692096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -h - 2. Suppose h*w + 143 = 1043. Suppose 4*m - w = -x, -4*x + 76 = -0*m + 2*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -46, -60, -74, -88?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 0.2, -1\/5, 0.10926, 0.6, -1, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 - -391. What is the units digit of -212*(-1)\/2 - l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44\/2509 + -212647\/250900. Let l = -2\/25 - m. Let x = 104\/133 - 4\/19. Which is bigger: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 24 = 3*o + o, 3*a + 2*o + 2 = 0. Suppose r - 453 - 62 = -f, -1010 = -2*f + a*r. Round f to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1101, -2260, -3413, -4560, -5701?\nAnswer: -6836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 800514252 divided by -211329\nAnswer: -3788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - w + 1. Let k(b) = 3*b**2 + 2*b - 1. Determine -2*a(f) - 3*k(f).\nAnswer: -f**2 - 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 14 in increasing order.\nAnswer: -9, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2080777201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -153\/4. Put a, -8\/7, -0.1 in decreasing order.\nAnswer: a, -0.1, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56083380*14\nAnswer: 785167320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, t: 5, x: 3}. What is prob of picking 1 x and 3 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3))**(-27)*(h\/h**(-1\/3))**(-20) assuming h is positive.\nAnswer: h**(-215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12895 is divided by 6437?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -11. Which is bigger: 13 or u?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*g + 5, 7*t = g + 10*t + 9. Solve g*f - 13 = -25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 times 0.3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*c + 27 = -33, 2*r = -c + 40. What is the highest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 39 - 265 = v + 267, -4*v + 89 + 11 = -12*p - 8 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 17574 + 17635 = 35253. Let 17\/3*w**3 + 4 + 4*w**4 - 32\/3*w - 23*w**v = 0. Calculate w.\nAnswer: -3, -2\/3, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 + -133. Suppose -o = -n - p, 3*n = o + n - 64. Let t be 3\/12 + 47\/4. Calculate the greatest common factor of t and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - j**2 + 1. Let y be g(-1). Let x(v) = 28*v**2 + 2*v - 2. Let t be x(y). Suppose -4*l + 2*z = -28 - t, -3*l + z = -106. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110110000100000 (base 2) to base 6\nAnswer: -332052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.36 (b) -3 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 7. Let g be i(-4). Let d be 5999996\/6 - 2\/g. What is d rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d**2 + 8 - d - 7)*(2*d**3 + 0*d**3 - 3*d**3).\nAnswer: d**5 - 2*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 384\/(-1440) - (-21499)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2543 - 2543 - 15*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 5 (c) 3 (d) 23\/9 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1719264 and 48.\nAnswer: 1719264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -502 (base 8) to base 14\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 - 3105*s - 4633610 = 0 for s.\nAnswer: -701, 1322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-14)*((-15)\/12)\/(140\/(-8)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8512864 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1649892719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.83 + -0.83. Which is the closest to z? (a) -3\/7 (b) -1\/4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 4304*y - 12914\/3.\nAnswer: 2*(y - 1)*(y + 6457)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534100 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112158 rounded to three decimal places?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*o + 2620 + 13426, 3*g - 3*o - 12030 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 5:09 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rppu when four letters picked without replacement from pnnounoouuponproono.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:55 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)\/((h**(1\/3)*h)\/h)*(h**(1\/9)*h)\/h*h*h*h**(1\/3)*h*((h*h\/h**2)**(-1\/29))**(-9\/5) assuming h is positive.\nAnswer: h**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*f + 257 = 0, -4*i = -6*f + 4*f + 204. Let m(z) = 2*z**2 - 4*z + 1. Let s be m(-4). Let p = s + i. Solve p*d - 4*d + 3 = 3*j, 3*j = -3*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 4*k = -20, 12 = -h - 3*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1223?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 26, 25 in decreasing order.\nAnswer: 26, 25, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -12. What are the prime factors of ((-8)\/w)\/((-2)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/72 - ((-121601)\/14824)\/(-23).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.01\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -757427\nAnswer: -757426.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460 - 5*a + 5*a + 272 + 441*a**2 + 188.\nAnswer: 441*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199208 and 4440.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 73 = -5*r, -4*g + r - 2*r = 197. Let k = g + 64. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 331*m - 449. Let x be r(2). What is the greatest common divisor of 3479 and x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 222010012?\nAnswer: 222002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*g + 1213 = 94*g - 3651 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-176)\/(-66)*(-6699)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 0 + 3\/2*c**3 + 0*c + 3\/2*c**2 - 3\/2*c**5 - 3\/2*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126*a**3 - 64*a**2 + 82*a + 20.\nAnswer: -2*(a + 1)*(7*a - 5)*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720)*1)**2 + 5.\nAnswer: -24*sqrt(5) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3*p)**(4\/3)\/(p**(1\/6)*p\/((p**(-12)\/p*p)\/p)))**(-43) assuming p is positive.\nAnswer: p**(645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 4. Let u(k) = 4. Let l(o) = 4*g(o) - 5*u(o). Let y be l(2). Suppose -y*m + 0*m - j = -347, -357 = -4*m + j. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22922 - -2309. Suppose 0 = -4*a + 27*a - z. Is 70 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20 + 3 + 4\/4. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*z - 171 = -2*z, 29*z + 369 = 2*g + 40*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 9*b**2 - 6*b - 2. Let d(y) = -y**2 - 1. Let w(i) = -3*d(i) + u(i). Let g be 0\/1 - (2 + 2). Let x = g - 1. Determine w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g**2 + g**3 - 3 + 0*g**3 - 7*g**2 + g. Let o be f(7). Suppose 3*k + 9 = -i + 22, 2*k - o*i - 4 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -37*v**2 + 29*v - 121. Let t(c) = -73*c**2 + 47*c - 242. Let x(f) = -5*p(f) + 3*t(f). Find the second derivative of x(m) wrt m.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -171*i**2 - 4784*i + 36. Give d(-28).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mqffqfqqqfoqmffqfq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 7*d + 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 + 7*w. Calculate d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(-1*sqrt(192)))**2 + (sqrt(209)\/(sqrt(396)*-1))**2.\nAnswer: 475\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10191420 is divided by 509571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 - (9 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 4*c + 3. Let d(a) = 2*a**3 + 5*a**2 - 9*a - 5. Determine -6*d(i) - 10*g(i).\nAnswer: -2*i**3 + 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wveelvliewpv. Give prob of picking 2 w, 1 i, and 1 p.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + (-2)\/(-3)*-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10269*b + 5 - 10272*b - 5.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15502\/7 - -2210. Let q be (9165\/18 - 2) + 2. Let v = -497 + q. Calculate the common denominator of v and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15706645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i - 4. Let c(s) = -9*s + 4. Let x(v) = 6*c(v) + 5*m(v). Let r be x(1). Which is bigger: 1\/5 or r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2893 or 1.27152?\nAnswer: -2893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 + -9)*(43 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-10))\/((-240)\/(-144))*7\/(-6).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 3. Let f(o) = 4*o**2 + o + 13. Calculate 2*f(z) - 9*x(z).\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 262573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:21 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 18*c + 7. Let m = -45 + 57. Let u be b(m). Let w = u - -790. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -509*w**8\/56 - 1399*w**4\/4 + w**2 - 3017*w. What is the second derivative of f(s) wrt s?\nAnswer: -61080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 4, 26 in decreasing order.\nAnswer: 26, 4, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*s + 3 + (-2 + 2 + 1)*(-4*s + 5*s + 0*s) + 0*s + 3*s - s)*(0 + 2 - 3)*(-s + 3*s - 3*s) to g + o*s + c*s**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 11) in base 9?\nAnswer: -804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 15. Suppose 12*l - 8 = v*l. Let n(r) = 212 + 211 - 424 + l*r - r**2 - r. Give n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 3. Solve -4*s = -q*n + 3*n + 2, 2*n - 5*s - 11 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*d - 23 = 585 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and -402.327.\nAnswer: 112.65156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*i**2 - 6*i**2 + 56*i**2 + 129*i**2 to the form f*i + l*i**2 + d and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -405 - -650?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -236, -196, -114, 22, 224, 504?\n\"Answer: 2*p**3 + 9*p**2 - p - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -319, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4794\/15 + 6\/15. Suppose s = -2*k + 85, q = 2*s + 2*s + 4*k. Suppose d = 4*h - 92, -4*h + 4*d + 29 = -s. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - 0 - (-17 + -20*(-1750)\/2184) and -88\/105.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 20*u - 6*u - 13*u)*(-10*u**3 + 10*u**3 - 11*u**4).\nAnswer: -11*u**5 + 165*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.11 - 1.91. Which is the closest to w? (a) 0 (b) -7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/7 - 38*k**3\/7 + 198*k**2\/7 - 162*k\/7.\nAnswer: 2*k*(k - 9)**2*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + t - 49 = 0, -3*t + 2*t = -4. Let v be m\/(-4) - (-4)\/16. Are 2 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -11. Let w = -5 - s. Which is bigger: w or -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 1. Let m(b) = 335*b**3 - 4*b**2 + 215. Let g(o) = -2*k(o) - m(o). What is the first derivative of g(d) wrt d?\nAnswer: -1005*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 820748672 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) 3\/196 (d) 5 (e) -36 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5008491*g*p**2*y - 2*g*p*y - 103*g*y + g + 60*p**2*y + 3*p - 2*y - 3668 wrt p.\nAnswer: -10016982*g*y + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(204) + sqrt(204))\/sqrt(6))\/(-6*(sqrt(288) + -6*sqrt(288) + sqrt(288))).\nAnswer: -7*sqrt(17)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 219307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.014 - 2.114. Let m = 2.9 - a. Let s = 1\/34 + 29\/170. What is the nearest to 0.2 in m, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1528, -6073, -13630, -24187, -37732, -54253, -73738, -96175?\n\"Answer: 2*r**3 - 1518*r**2 - 5*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1159 divided by 2.\nAnswer: -1159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 20*v + 49. Let j be x(-17). Let m = -3 - -6. Suppose 3*s - 5*q + 34 = s, 30 = -3*s - m*q. Sort -3, s, j in increasing order.\nAnswer: s, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 2, v: 3, l: 6, w: 1}. Give prob of picking 3 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 10*h + 28. Let r be g(8). Let x be -20 - 2\/4*(-3 + 7). Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -n - r, -3*r = -4*n - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2)\/((-1)\/(-8)). Suppose -618 = -64*o + 66*o. Let f = -306 - o. Solve -r - m = f*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a**2 + 10*a + 28*a - 78 + 78 - 38*a.\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**4 - 7114*f**3 + 126170*f**2 wrt f?\nAnswer: 120*f - 42684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7234 and -242.\nAnswer: -1750628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n**3 - n**3)*(2 - 2 - 3*n)*(-2 + 4 - 1).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 > -849\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3696 and 1408.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -472.463?\nAnswer: 465.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 1, y: 3, g: 6, u: 3, z: 1, e: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, -262 in descending order.\nAnswer: 1, -3, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-187)\/(-44) - (-1)\/(-4). Suppose -s*g + 35 = -2*d + 7*d, 3*d - 4*g + 11 = 0. Find the first derivative of v - 6 - v + d*v wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*t**3\/3 + 84*t**2 + 176*t\/3 - 20.\nAnswer: 4*(t + 1)*(t + 15)*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -11\/3307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-24) - (-92)\/48)*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let r(g) = -41*g - 6. Give r(z(t)).\nAnswer: 41*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4*w + 15*s*w + 176*w wrt s?\nAnswer: 4*s**3*w + 15*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**8\/56 + 62*q**7\/21 + 230*q**4\/3 - 2078*q. What is the third derivative of w(f) wrt f?\nAnswer: 120*f**3 + 7440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417*c - 240 = 477*c. Let k(y) = 2*y**2 - 2*y - 30. What is k(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.071 (b) -3 (c) -6\/7 (d) 0.2 (e) -4 (f) 87\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - ((-49)\/(-20) - -1) and 2\/((-448)\/652) + 8\/28?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 113 = -2*h - 95, 3*o = -9. Suppose -v = h*j + 81, -12*j - 372 = 5*v - 8*j. Which is greater: -77 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 - -24. Let t = w - -220. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -2\/9, 0.01?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let f(x) = -84*x + 44. Let b(m) = -57*m + 28. Let w(r) = 8*b(r) - 5*f(r). Give i(w(g)).\nAnswer: 36*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 + 356266?\nAnswer: 356035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47254 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152055530 - -10?\nAnswer: -152055520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14135, -32454, -50769, -69080, -87387, -105690?\n\"Answer: 2*o**2 - 18325*o + 4188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1.0309?\nAnswer: -0.51545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3 + 263195*c**2 - 263190*c = 0. Calculate c.\nAnswer: 0, 1, 52638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -105, 17 in descending order.\nAnswer: 17, 2, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6574 (b) -4 (c) 32 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/21)\/(5\/100*24\/9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3175 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -13.8. Let r = 41.59 + -42. Let d = r - 0.59. Which is the nearest to 2\/7? (a) d (b) 2\/21 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17333 - 17336. Do f and 8330 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 10 = 5*t. Solve 3*b = -b - t, -b = v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 30 = 0, 0 = 4*y - 41*f + 37*f - 3940. Solve 978*x = y*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89559 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 1. Let h(i) = 2*i**2 + 1. Suppose -l = 3*n - 11, 191*l - 4*n = 188*l - 45. Determine l*y(v) + 3*h(v).\nAnswer: -v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 2*m**3 + 5*m**3 + (-m + 2*m - 2*m)*(-m**2 + 1 - 1) + 3*m**3 + 0*m**3 - 2*m**3 + (6 - 6 + m**2)*(-2*m - 5 + 5).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/16 - (0 + 0). Does 0 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0806 and 84.\nAnswer: 83.9194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6458226893)\/6938*(-3 + (0 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 - -85. Let i be (-120221)\/(-253) - a*1\/(-11). Let c = 626 + i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/5 - (-12)\/20. Suppose -n + 358 = -h, -7*n + 704 = -b*n + 2*h. List the prime factors of n.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1\/42*o**7 + 0*o**2 - 1\/2*o**4 + 0*o**6 + 3*o**3 + 0*o**5 + 0 - 9*o. What is the second derivative of h(d) wrt d?\nAnswer: 20*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19493264793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -32 + 44 + -29?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010000 (base 3) in base 5?\nAnswer: 22124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-80)*-6)\/(66\/55).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1379, -3223, -5067, -6911, -8755?\nAnswer: -10599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v - 1. Let j(m) = -2*m**2 - 5*m + 4. Let q(t) = t**2 + t - 3. Let s be q(0). Let g be 4 - (s - -3)\/1. Determine g*b(p) + j(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*q**3*v - 1963*q**3 - 2*q**2*v - q**2 + 1251*q*v - 1066*q - 2*v wrt q?\nAnswer: 828*v - 11778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*r + m, 3*m = -4*r - 19 - 12. Let f(j) = -j - 2. Let p be f(-6). Let d(s) = -1 - 5*s + 7*s - 4 - p. Let u(g) = g - 5. Give r*d(o) + 7*u(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-16) + 156\/3552. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -27*o + 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 653\/41 - 2571\/164. Which is the closest to -13.7? (a) 0 (b) 5 (c) -2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369.1952 nanoseconds in hours?\nAnswer: 0.000000000380332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 14.3. Let r = 0.2 - 0. What is the nearest to -0.1 in -0.1, k, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 13*x + 16*x + 0*x + 0*x - x - 5*x + 2*x + x + (-6*x + 5*x + 0*x)*(1 + 0 + 1) + 0*x - x + 0*x + 2*x + 2*x - 3*x - 3*x - 4*x - x.\nAnswer: -10*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*f + 2*w - 14*w - 5*w, f - 1 = 3*w - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9961 kilometers in micrometers?\nAnswer: 46996100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4. Let k be j\/(-2) + (-34)\/(-4). Suppose -k = v - 3*v. Solve -35 = 3*x - 5*b, -x - 6 = -3*x - v*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 + 151. Let b = -27\/5 - -91\/15. What is the smallest value in -1, -2, h, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from pppoppoo.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/(p\/(p*p**(-5\/3)\/p)))\/(p*p*p**10*p*p*p*p)**10)**(-15\/2) assuming p is positive.\nAnswer: p**(2425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1378580 and 1075?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 divided by 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 548269291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7298 - -12338. What is the smallest common multiple of s and 15?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/2*3\/(-6). Let o = 8.3 + -49.3. Let w = o - -36. Which is the third biggest value? (a) -3 (b) 0.02 (c) k (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8090.649 and 1?\nAnswer: 8090.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0\/d)\/(d**(1\/5)\/d))\/(d**(2\/13)*d**(-4)))\/((d**2*d**6)\/(d\/d**(-1\/4))**(21\/8)) assuming d is positive.\nAnswer: d**(-2231\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let l = -210 - -212. Solve l*n + x*n = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + -2.1. Put i, 1, -0.3 in decreasing order.\nAnswer: 1, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1 (b) -0.1 (c) -31\/26 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, v: 5, j: 6, f: 1}. What is prob of sequence jj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.036 in 1\/8, 0.2, -2\/5, 5, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((812\/(-29))\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*(-4 - -3))\/1. Suppose -z + 0*z - 1 = -o*n, -5*n = -20. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + (-76 + 131 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7303*-10.\nAnswer: 73030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4158 divided by 462.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (2640046\/(-3) - 2\/(-6)). Suppose -g + 3*k - h = 0, 3519985 = -0*g - 4*g - 3*k. Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:09 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/110)\/(3*(-10 - 153\/(-15)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00542353 to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12835 = -5*f - 2*u, -33*f + 29*f - 5*u + 10285 = 0. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -803?\nAnswer: -80.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 3. Let d(n) = n**2 + 5*n - 22. Let y be d(6). Let j = -51 + y. Let p = j - -10. Calculate w(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:01 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 5599637*a\/5 - 5599638\/5.\nAnswer: (a - 1)*(a + 5599638)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2100. Let w(b) = -73*b. Determine w(c(z)).\nAnswer: -73*z**2 + 153300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 805 + 377 = -395 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**6\/33 + 2*i**5\/55 + 15*i**4\/22 + 46*i**3\/33 + 10*i**2\/11 - 73. Determine k so that b(k) = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/12 + (2 - 2))*2. Let o be ((-17)\/s)\/(1\/(-1)). Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, m: 2}. Give prob of picking 4 o.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0447 - 56.8447. Let x = q - -57. Let s = x + -1.2. What is the fourth smallest value in 2\/11, -0.5, -5, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times -10042.85?\nAnswer: -3615.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o + 17*o + 17*o + 5*o - 55*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**20\/s))\/(((s*s**(2\/11))\/s)\/s))\/(s**(11\/5)*s*s*s**(2\/15)*s))**(-5\/7) assuming s is positive.\nAnswer: s**(3715\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20867.32l?\nAnswer: 20867320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2564, -4597, -6630, -8663, -10696?\nAnswer: -12729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17618 or 158551\/9?\nAnswer: 158551\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 6978710 - 6978710.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 2*y + 26, -5*z - 3*y = -35. Let x be 4\/((-16)\/z) + 138. Let g = x - -12. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**3\/3 + y**2\/2 + y - 4. Let a(w) = -7*w**2 + w + 3. Calculate a(t) - 3*c(t).\nAnswer: -4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 3:18 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69379, 138792, 208233, 277702?\nAnswer: 347199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -3 (b) -4\/15 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001954274 to six decimal places.\nAnswer: -0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.53736mg in kilograms?\nAnswer: 0.00009153736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -36*h. Let l(i) = 18798*i + 1. Give g(l(b)).\nAnswer: -676728*b - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1841174.\nAnswer: 1841174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.23271\nAnswer: -0.023271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (168\/(-126))\/(1\/62145). Round p to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.36613 - -0.16293. Let p = m - 0.53. What is p rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 46. Let s = h + 169. What is the closest to -2\/3 in -5\/9, 0.3, s?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 11. Let s be w(8). Let v(i) be the first derivative of 1\/3*i**3 + 0*i + 0*i**2 + s - 3\/4*i**4. Find the third derivative of v(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*f**2*x**2*y**2 + 904*f**2*x**2 - 724*f**2*x - 3*f*y**2 wrt x?\nAnswer: -80*f**2*y**2 + 1808*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-2 - -47 - (338 - 308))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12191 = 30*p - 12821 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*n**4 - 2 + (-2 - n + 2)*(0*n**3 + 0*n**3 - n**3) + n**3 + 32*n - 562*n**2 - 3*n**4 + 562*n**2.\nAnswer: -4*n**4 + n**3 + 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 15*f - 19. Let r be h(-14). Let j = 0 - r. Calculate the remainder when (-378)\/(-35) + -2 - (-6)\/30 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-18) + 1 + 0 + -1. What is the nearest to g in 2\/3, -1\/58, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -1\/6 (b) -151 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 36808783?\nAnswer: 36808781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Let i(z) = -z**2. Let d(f) = 5*f**3 + 4*f**2 + 4*f. Let r(q) = h*i(q) + d(q). What is the second derivative of r(c) wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1964 (b) 5 (c) -3\/2 (d) -2 (e) -1\/3 (f) -692\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(76)*-1 + -2 - (-5 + (sqrt(76) + (-2*sqrt(76) - sqrt(76)))*3).\nAnswer: -2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9932656.\nAnswer: 2, 43, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let v be ((-6)\/4)\/(d\/(-2)). What is the first derivative of -9*c + 3*c**4 + 9*c + v wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g - 1. Let j be m(-1). Suppose -j*p + 54 = 14. Solve 4*s = -s + 5*a - 10, -4*s + 3*a = p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + 0 + sqrt(1539) + -5)**2*3 + 1.\nAnswer: -756*sqrt(19) + 5206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4915, 35178, 117317, 277270, 540975, 934370?\n\"Answer: 4323*n**3 + 2*n + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0 + 56*f**2 - 1\/2*f**4 + 0*f - 4\/3*f**3 - 1\/15*f**5. Solve b(l) = 0 for l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 33. Let z be 4 - (7\/3 + c\/(-6)). Let v(n) = 4*n + 3*n**z - 9*n**2 + 76 - n**3 - 80 + 2*n**3. Determine v(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + 100?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-4 + 4)) + 10. Let z = m - 2. Suppose -7 + 59 = z*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437457 + -210856. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 55, -1\/17, 2\/9, 0.3, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 2*x. What is the least common multiple of 6 and z(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 6*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19665 and 395865?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 14*r - 10. Let g be n(6). Let l(c) = c**2 + 2*c - 1. Let y be l(-3). Suppose v + 56 = y*v. Calculate the greatest common divisor of v and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-2\/9)*f*f)\/f)**(-35)\/(f\/f**(-1\/3))**(9\/5))\/((f\/(f\/(f*f*(f*f\/f**2*f)\/f)))**(15\/7)\/((f*f**0\/f)\/(f**(1\/3)*f))) assuming f is positive.\nAnswer: f**(-33151\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/19 - 5056*y\/19 + 266 = 0. Calculate y.\nAnswer: 1, 2527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/3))**(-32)*(k\/k**1)\/(k**(1\/4)\/k))\/((k**(-2\/7))**(33\/5)*k**(-2\/9)*k*k**(-1\/4)\/k*k) assuming k is positive.\nAnswer: k**(-16136\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14*m. Let l(g) = 468*g + 132. Let f(y) = 244763*y + 69080. Let o(n) = -3*f(n) + 1570*l(n). What is o(u(x))?\nAnswer: -6594*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*w = 6, -2*w + 6*w = -5*s + 11. Suppose 3*n = s + 6. Solve -n*f = 4*c - 9, -4*f + 11 + 1 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452.6773 rounded to the nearest 10?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12080)\/(-32))\/((-2)\/(-4)). Suppose 752*i = c*i. Solve i = -28*r + 24*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*m**3 + 710*m**3 - 634*m**3 + 253*m**3.\nAnswer: 593*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -151, -339, -603?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b - b)*(211 + 17 + 420) + (-4 + 4 + b)*(-1 + 1 + 2) + 7*b - 3*b - 3*b - 2*b + 2*b + 2*b.\nAnswer: 1949*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 1*sqrt(68)*-4)\/sqrt(4))**2 - (6*(sqrt(170) + (sqrt(170) - sqrt(170)*-1) + sqrt(170)) - sqrt(170))\/sqrt(10).\nAnswer: -23*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918*s**2 + 921*s**2 + 1 - 1.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 993837 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 426399 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6826 - -5274?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.03, -23.5, 3\/4, -26, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a**3 + 2*a**2 - 2*a + 1. Let j be m(1). Let b(p) be the first derivative of -3*p**2\/2 + 12*p - 2. What is the tens digit of b(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -11. Suppose -3*f = -4*j - 125, 0*f - 5*f + 218 = 3*j. What is the remainder when f is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -71?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*u - 3*u + 3*u - 13 as l*u + a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30350813 to the power of 1\/2, to the nearest integer?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432786 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.39, -1, 2\/5, -2\/9, 2, -29?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 13. Suppose -6 = -2*b - 2*s, -b + 8 = 5*s - v. Let x = -6 - -21. Solve b = 3*l - 0 - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72106 is divided by 285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeuuee. What is prob of picking 2 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 8*z = -127*z + 23*z - 1617 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3669 is divided by (-107)\/(-2) - -1 - 16\/(-672)*-21.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/48)\/(2\/15). Suppose 4*i - 13 = 5*r, -20 = -2*i - b*r + 3*r. Suppose 0 = -c - i + 14. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 292552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 24 - 19 - 1 - 4 + 6 + (2 + 2 - 5)*(4 - 2 - 4))*(2*o**2 - 14*o**2 - 2*o**2) + o**2 + 2*o**2 - 2*o**2.\nAnswer: 407*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 411346, 411353, 411364, 411379, 411398, 411421, 411448?\n\"Answer: 2*n**2 + n + 411343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758*n**3 + 743*n**3 + 746*n**3 - 2245*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23214*i**4 - 10509*i?\nAnswer: -278568*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 326 and 4727.\nAnswer: 9454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 - 9*u**3 - 5 + 5.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {r: 2, e: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -74, 25, 224, 529?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let u(d) = -d**2 + 1. Let v be u(b). Let a be v*(-1 - (-3)\/9). What is the highest common divisor of 40 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (212*6\/(-36))\/(4\/(-6)). Suppose -q - 63 + g = 0. Let z be 8\/20 + 47100004\/q. What is z rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 56 = 4*b. Let u(w) = -w**2 + 10*w + 6. Calculate the least common multiple of u(8) and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + 0 + sqrt(475) + -1 + sqrt(475) + 0 + -3)**2 + 5.\nAnswer: -180*sqrt(19) + 1986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 - 24*j**3 - 20*j**2 + 24*j + 22 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -5*k + 0 + 0*k**2 - 1\/3*k**3. Let f(s) = 4*s. What is g(f(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3130, -3132, -3136, -3142, -3150, -3160, -3172?\n\"Answer: -h**2 + h - 3130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 4, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53079450 divided by -4.\nAnswer: -26539725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/(-16)*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**3 - 2*o**2 + 3*o - 1. Calculate c(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6 + 2*l - l - 2. Let z be c(0). What are the prime factors of (z\/(-2) - -1) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - d - 4*d + 220 = 0, 3*j + 2*d - 158 = 0. Let x = j - 11. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.03, -4, -1\/4, 2, -4.25 in descending order.\nAnswer: 2, 0.2, -0.03, -1\/4, -4, -4.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 18*d**2 - 52*d + 36. Calculate f(16).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7\/3, 0, 211\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-28))\/((-5)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/10 (b) -1.23 (c) -0.5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (110\/6)\/(15\/9 - 2). Let a = -45 - x. Let j = 7 + 1. Calculate the least common multiple of a and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 16 = 234. Let s(z) = z**3 + 8*z**2 - 21*z - 8. Let k be s(w). Solve -5*y - 1 = -4*y - 2*t, k*t = 3*y - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87942 is divided by 29166.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3102 + 3103. Let v = -1.9 - 0.1. What is the nearest to 2 in f, 4, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*y + 8, 7*i - 16 = y + 3*i. Let t = -184063\/45 - -4090. Let v = -1\/15 - t. What is the nearest to y in v, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -145. Suppose i - 69 = -2*i + 4*s, i + 4*s = 39. Let t = -19 + i. Calculate the remainder when l is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 104*k\/3 + 136.\nAnswer: (k - 204)*(k - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.026766 + 36.026766. Let p = 0 - 0. What is the third smallest value in p, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/505 or -2\/5?\nAnswer: 4\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2545473 and 13489.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b + 138*b + 42 = 66*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21353 and 64976.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, s: 6}. Give prob of sequence sss.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 13*g - 180. Let r be (-5)\/15*-6 + g. Let j(c) = -c**3 - 12*c**2 + 13*c - 11. Give j(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103150352 (base 7) to base 13.\nAnswer: -1372a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*b + 63552, h + 3*b - 22471 = -1287. Suppose 4*f = -5*s - h, f + 15888 = -2*f - 4*s. Let g = -2807 - f. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*r + 1 + 11, -4*r - 16 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3383 is divided by 257?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose -1460 = -5*p + q, 1168 = p + r*p + 5*q. Let a be ((-12)\/10)\/(p\/60 - 5). Is a >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 11:58 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251 (base 8) to base 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - 12)\/((-2)\/(-10)). Find the second derivative of 14*c**2 + 5*c + a*c + 0*c - 3*c wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - c**2 - 4*c**2 - 12 + 3*c**2 + 12 + (c - 2*c - c)*(c + c - 3*c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 - 0.16. Let r = -4 + -5. Let f be (3\/r)\/((-5)\/(-3)). Sort 2, x, f in ascending order.\nAnswer: f, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(19) + -2) + (sqrt(19) - (sqrt(684)*2)**2)*6.\nAnswer: -16411 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - (127 + -102 + -3 + -20 - 3).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205161911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64022 and 982702.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144515 - 10205?\nAnswer: 134310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 1 + 0*g + 0 + 2 + 4*g. What is the units digit of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/163 - 491\/326. Let s = -0.2 - 2.8. What is the nearest to -4 in s, 4, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 2*o + 2*o + o + 2*o - 5*o + (-1 + 2 + 1)*(-2*o + o - o) - 2*o + 0*o + 4*o - 10249 - 2*o + 20434 - 10540.\nAnswer: -7*o - 355","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-49 + 17) - (13 + -11 + 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 171 = 161. Let d(i) = i**2 - 8*i - 10. Let h be d(11). Suppose x - 3*g = v*g + h, -4*x + 4*g = -76. Solve s + x = 4*b, 3*b - 4 = -2*s + b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**6 + 3*g**3 + 17*g**2 + 3. Let a(c) = 17*c**6 - 5*c**3 - 34*c**2 - 5. Let b(m) = -3*a(m) - 5*q(m). Find the third derivative of b(r) wrt r.\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575900 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 753\/(-132) - 4*2\/(-32) - -6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8099 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 291988.4?\nAnswer: 204391.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 + 14)\/(2*-1). Let p(y) = -15*y - y**2 + 2*y**g + 16*y - 6. Give p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/8))**(-33)*(l**19)**0)**(-2\/9) assuming l is positive.\nAnswer: l**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -184.73, 2\/5, -19 in ascending order.\nAnswer: -184.73, -19, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*q**2 + 2337 - 2337.\nAnswer: -123*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, e: 1, r: 2, n: 1, s: 1}. What is prob of sequence yn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 6\/157 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1681*v**2 + 62*v - 18. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 82787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/2 - 67\/4*z - 1\/4*z**2.\nAnswer: -(z + 1)*(z + 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 21. Let w = -0.20673 - 0.09327. Sort g, w, -2\/3, -12 in descending order.\nAnswer: g, w, -2\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/4 + 6*f**2 + 45*f\/4 = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:45 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93177)\/(-1323) - (-12)\/(-14) - 51\/(-119).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 - 198699*m + 596106 = 0.\nAnswer: -198702, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quqq when four letters picked without replacement from {u: 5, q: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -15.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (138\/(-3))\/((-8)\/164). Suppose -d - 3 = 0, -d = f + f + w. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9751932 and 198210?\nAnswer: 48759660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 58528790 to the nearest 100000.\nAnswer: 58500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 203375581 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (42 - -58 - 27) + -71\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92784.\nAnswer: 2, 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2523*d = 2405*d - 3540 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-9 + 9 - 10*s + 2).\nAnswer: -20*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 241.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-360)*(-1)\/(-18)*10?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.98 - -6. Let i = b + 1.68. What is i rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16045, -32088, -48131, -64174, -80217?\n\"Answer: -16043*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 1 in descending order.\nAnswer: 19, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313409242 rounded to five dps?\nAnswer: 0.31341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25372, -108437, -246886, -440725, -689960, -994597?\n\"Answer: -x**3 - 27686*x**2 + 2315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + (-340)\/(-12). Suppose -h*t + 24*t = -20. Solve 2*q = 4*l - 6, -3*l + 1 = -t*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 82, 112, 140, 166?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (11 - 9\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c - 3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*t - 10, -5*l = 4*t - 0*l + 6. Let z = t + 4. Suppose 4*o = 3*a - 26, -4*a + 3*o + 37 = -z*a. What is the least common multiple of a and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3973.734 millimeters?\nAnswer: 3973734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3115 - 2?\nAnswer: -3117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1655 divided by -6\nAnswer: 1655\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**3 - 14*u**3 + 42*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3)*(-9)\/(-8))\/(4330\/190520).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o = 79*o - 42 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 h when four letters picked without replacement from yhyhy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 17*o - 11. Let w be q(-11). Let c = w - -14. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2434, -4952, -7470, -9988?\n\"Answer: -2518*o + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104351*m**3 - 81485*m**2?\nAnswer: -626106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -251\/4. Let n(c) = -c + 2. Let u be n(-2). Suppose -2*s = 5*i, 2*i = u*s - 0*i. Is v < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 2 - (-23 + 23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37610733 divided by 6?\nAnswer: 12536911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(175) + (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(28)\/(-1*sqrt(4)))))**2 + 2.\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from tyebr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.083, -5, -0.13, 0.3 in ascending order.\nAnswer: -5, -0.13, -0.083, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5219958?\nAnswer: 2, 3, 97, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45924291 and 11431?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35421 rounded to the nearest 100?\nAnswer: 35400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -448?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/20 and (7\/12)\/((-1)\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 = -3*p - 0*n, -2*n = -2*p. Which is the third biggest value? (a) -0.46 (b) -2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-78)\/208)\/((-2)\/(39784\/(-6))). Let d = -1258 - c. Find the common denominator of d and 51\/262.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321365 divided by 29215.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 4. Let p(k) = 17*k + 17. Let g(v) = 6*p(v) + 26*r(v). Let z be (2 + (-28)\/12)\/((-5)\/(-30)). Calculate g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + b**4 + 2*b**4 + (36*b**2 + 27*b**2 - 66*b**2)*(-2*b**2 + 0*b**2 - b**2).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-1338)\/78) + (-42)\/6\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3 + 6. Let u = f - -2. Suppose -u*x + 8*x = -42000000. What is x rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15550611*20\nAnswer: -311012220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 15*a. Let m(k) = k**3 + k. Let o(f) = j(f) - 2*m(f). What is the second derivative of o(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 3*y + 2. What is r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 0 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50013112 + 50?\nAnswer: -50013022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01045 + -5330730.2?\nAnswer: -5330730.18955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/120 and 137\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 + 22*p**2 - 8*p - 68. What is l(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -156.8 (b) -0.12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 0.00730932\nAnswer: -0.30730932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose 8*r - 3*r - 45 = -5*q, 0 = -b*r + 15. Suppose 0 = 2*x - 0 - q. Calculate the lowest common multiple of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -1391*z**7\/210 - 139*z**5\/20 - 5*z**2 + 134*z. What is the third derivative of h(c) wrt c?\nAnswer: -33384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0673938 meters in nanometers?\nAnswer: 67393800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((30\/(-8))\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let h(p) = -3*p**2. Let i(r) = -7*d(r) - 3*h(r). Suppose 0 = 35*t - 36*t + 2. Let a(y) = 38*y - t - 6*y - 15*y. What is i(a(w))?\nAnswer: 578*w**2 - 136*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 3 + -2 + -3. Sort a, 4, -2 in increasing order.\nAnswer: -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 3224816290.998.\nAnswer: 3224816281.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.0128, 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + 147*c**2 - 5*c**3 - 147*c**2.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12384, 25431, 38488, 51561, 64656, 77779?\n\"Answer: x**3 - x**2 + 13043*x - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 3 + 4*h**2 - 12.\nAnswer: -h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1198, -5668, -13114, -23536, -36934, -53308?\n\"Answer: -1488*o**2 - 6*o + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8055.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 325523210 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 = -6*c. Suppose g - 20 = 5*l, l - 86 - 36 = -c*g. Let f = g + -25. What is the remainder when 34 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 f, and 1 j when four letters picked without replacement from {g: 7, j: 1, v: 2, f: 2}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 6*c - 161. Let i be (-2)\/(-5) + (-9729)\/60. Let p = i - c. Is -2 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 315, 521, 691, 807, 851, 805, 651?\n\"Answer: -3*y**3 + 227*y + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/7, 28, -5, -1, 2\/3249?\nAnswer: 2\/3249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -0.104, 3 in increasing order.\nAnswer: -4, -0.104, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0467 + 0.2533. What is the closest to -8 in -1\/2, -0.2, x, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(2\/21)\/m*m)\/(m\/(m\/(m*m**14\/m))))\/(m**(5\/6)\/m**7))**22 assuming m is positive.\nAnswer: m**(-2651\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Let z(u) = 13*u - 150. What is -22*i(v) + 2*z(v)?\nAnswer: 4*v - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 1*sqrt(152) - sqrt(152))\/sqrt(8) + sqrt(1900) + -1.\nAnswer: -1 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 43 = 27. Which is the nearest to 2\/15? (a) y (b) -3\/8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r + r)*(-31 - 20 + 15)*(-35 + 19 - 29 + 0 - 2 + 3 + (1 - 1 + 1)*(-4 + 0 + 3) + 2 - 3 - 1).\nAnswer: 8460*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25485 - -25505. Let p = 2.8 - 3. Which is the third smallest value? (a) p (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 1)*(56*u - 2 + 27*u - 58*u + (3*u - 2*u + u)*(-16 + 6 - 12)) in the form x + r*u and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46794068 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 215. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -9, 0.2 in descending order.\nAnswer: 2, 1, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3340 and -0.1.\nAnswer: -3340.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15550.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 43*n - 4 = 0. Solve -n*r + 5 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - 0.04. Let n = 4.4 + -4.3. Which is the closest to 2? (a) n (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(572) + sqrt(572)*-1)\/sqrt(11))\/(sqrt(12)\/(sqrt(27)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r**2 - r - 1. Suppose -4*c - 4*o = 0, -2*o = c - 0*c - 1. Let b be j(c). Let t = 11 - b. What is the lowest common multiple of 11 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2087*w**2 + 2*w. Let l(j) = 10440*j**2 + 11*j. Determine -11*h(m) + 2*l(m).\nAnswer: -2077*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u**3 + 71*u**2 + 67*u + 20. Determine p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -12*v + 360. Let r be c(30). Let u(x) be the first derivative of -2*x + 1\/4*x**4 + 0*x**3 + r*x**2 - 3. What is the first derivative of u(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78.7 from -333.117.\nAnswer: -411.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10592*k - 576679 = 842649 for k.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865391911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 1. Let k(m) = -109*m - 1. Let v(r) = -326*r - 4. Let w(n) = -3*k(n) + v(n). Let o = -3 - -5. Give o*z(s) - 4*w(s).\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(176)*-6)**2 - -6*(sqrt(99)*1)**2.\nAnswer: 57618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -12*i + 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16240 = 116*r - 126*r. What are the prime factors of r?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (17 - 7)) + -18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*o + 2*o - 2*p, 12*p - 14*p + 9 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45289?\nAnswer: 45289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:43 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7355231.\nAnswer: 13, 565787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4753 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/11)*g**(-2\/11))\/(g\/g**(-2\/11)*g*(g**(7\/4)*g*g)\/g) assuming g is positive.\nAnswer: g**(-221\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v - 8. Let q(p) = -13*p + 9. Give -3*q(t) - 4*u(t).\nAnswer: -17*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 1000477, -0.1, -2, -1 in decreasing order.\nAnswer: 1000477, 3, 0.4, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14428*9941.\nAnswer: -143428748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/15)\/4 - 0. Sort c, 2\/13, 14, 0.05 in descending order.\nAnswer: 14, 2\/13, 0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16244 + 16257. Let m(n) = n**3 - 12*n**2 - 19*n + 10. Determine m(g).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 17*r**2 - 5*r**2 + 20*r**2 + 1 - 4*r + 3*r as m*r**2 + c*r + o*r**3 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 396066.\nAnswer: 792132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -439*u + 443*u + 28, 0 = z - 5*u - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**31*((c\/(c*c\/c**(-1)*c))\/c)\/c*c*c\/(c*(c*c**(-1\/6)\/c)\/c) assuming c is positive.\nAnswer: c**(-457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*c**3 + 29*c**2 + 2*c wrt c.\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 + 7*g - 6. Let b be l(-8). Solve -3*v - w - 2 = -5*v, 10 = b*v - 3*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -6 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -422474*0.3\nAnswer: -126742.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -30. Suppose c - 13 = -6. Suppose 1 = 2*m - c. What is the smallest common multiple of r and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-15))\/(2\/72*4). Solve -l*h + 6*h - 3 = -4*f, -5*f = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 k, and 1 h when four letters picked without replacement from {i: 1, k: 5, n: 6, h: 2, t: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**3*v**4 + 5*h**3 + 16*h**2*v**4 + h**2 + 14*h wrt v?\nAnswer: -12*h**3*v**3 + 64*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3932 by 983.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2284*m*o**2 - 3*m*o + 116*m + 2*o wrt o?\nAnswer: 4568*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 84 + 86*p + 93)*(8 + p + 2*p - p).\nAnswer: 164*p**2 + 674*p + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4599638 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101 - 1011000?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dududvqdddcuuqq. What is prob of picking 4 u?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.5905 + -54.49328. Let o = -11.9 - f. Round o to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 40. Let v(k) = k**2. Determine v(d(x)).\nAnswer: x**2 - 80*x + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1*j*j*j**(-2\/15)*((j**(-2\/5)\/j)\/j*j)**(4\/5))\/((j*j*(j\/j**(2\/3))\/j)**(-20\/3)\/(j**(2\/7)\/(j\/(j\/(j\/j**(-6)*j))))) assuming j is positive.\nAnswer: j**(6176\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/8 + (-2)\/8. Suppose 72 = p*g + 57. Suppose 2*z - 100 = -3*z + g*c, 2*c = -z + 5. Solve z = -3*s - 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-12) + (-2)\/12. Suppose 2*b - 3*b + 18 = l. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2)\/(3 - 1). Let b = 0 + 0. Suppose b = -3*i - 3*z + 6, t*z = 2*i - z - 4. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 + 15)) + (7 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/((-18)\/96).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 3*u - v, -5*u + 3*v + 2*v - 185 = 0. Let a = 42 + u. Suppose 6 = -4*t + a. Solve 25 = -5*l - t*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 136179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 9*d - 108. What is the smallest common multiple of d and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3653, -14610, -32871, -58436, -91305, -131478, -178955?\nAnswer: -233736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 + 153 = -23*z - 55 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sffsfssssffsff. What is prob of picking 2 f and 1 s?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 50*l + 11. Let q(n) = 17*n + 4. Let b(i) = 3*j(i) - 8*q(i). Let c = 7 + -4. Calculate the remainder when b(c) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22820 is divided by 5699?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = 3*a - 566. Suppose -748 = -g - 3*s + a, 5*s - 1206 = -g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -38*x - 26. Let w(n) = -13*n - 9. Let t(m) = 17*w(m) - 6*z(m). Let k be t(11). Calculate the greatest common factor of k and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + (sqrt(343) - (sqrt(343) - (sqrt(343) + -1)) - sqrt(343)) - (2 + sqrt(343) + -1)) + 2 + 0 + (sqrt(343) - (sqrt(343) - (3 + sqrt(343)))))*6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 - -453. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*i**4 + 3*i + 893*i**3 + 2*i**2 + 899*i**3 - 2*i - 1790*i**3 to h*i + u*i**4 + t*i**3 + c*i**2 + b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -67*s**2 + 13*s - 3. Let l be a(5). Let g = -877 - l. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(3))**2*-2 + (-4*sqrt(21)\/(sqrt(35)\/sqrt(5)))**2.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 8977 and 8977 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/2)\/(-4))\/((-40)\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10 = -y - 5*k, 5*y - 30 = -k. Suppose -y*h + 38 = 3*c, 5*h - 14 = 11*c - 10*c. Suppose -c*r + 5*r = -1361. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 450.998082005?\nAnswer: 455.998082005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, s: 1, j: 1, q: 5}. What is prob of picking 2 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**3 - 14*z**2 - 6*z + 27. Let a(o) = 3*o**2 + o + 1. Let d(b) = -6*a(b) - g(b). Find the first derivative of d(n) wrt n.\nAnswer: -18*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133.3 + -133. Which is the closest to -3? (a) 1 (b) 12 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - (-2 + 6 - 2)) + -10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**31 assuming a is positive.\nAnswer: a**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869423743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 7*x + 5. Let s(h) = h**2 - 8*h - 7. Let n be s(8). Let t be p(n). What is the third derivative of k**2 - t*k**6 + 3*k**6 + k**6 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2))**2*5 + 2.\nAnswer: 20*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.9594265 or 4?\nAnswer: 5.9594265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z**2 - 22*z**2 - 16*z**2)*((-4 + 4 + 1)*(3 + z**3 - 3) + 2*z**2 + 3*z**3 - 2*z**2).\nAnswer: -104*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -74, -130, -206, -308, -442?\n\"Answer: -s**3 - s**2 - 32*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 630560.3ng?\nAnswer: 630.5603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106\/6436377 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -230\/3, 16, -0.3?\nAnswer: -230\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 9179 - 2419. Is 104 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j - 2. Let k be i(-3). Put 0, k, 1 in descending order.\nAnswer: 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4267 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -7)*0 - 24\/(-34). Which is bigger: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1123262, -2246524, -3369786?\nAnswer: -4493048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -329, 3, -6, -3 in increasing order.\nAnswer: -329, -6, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 37 = 34. Let x(u) = -30 + 769*u + 31 - 770*u. Let i(y) = 7*y - 3. Give f*i(l) + 3*x(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 - 7*s**2 - s - 8. Calculate the remainder when x(3) is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 3*s - 5. Suppose -2 = 20*o - 19*o. What is r(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602 = -3426*z + 3539*z - 1206 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 2 (c) -2\/7 (d) -5727 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 6535*r**2 - 65725*r - 164625.\nAnswer: 5*(r - 1317)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 3. Let o(c) = 2*c - c - 3 - 5 + 6. What is -3*b(z) - 4*o(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4337159104?\nAnswer: 2, 67768111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-2\/27)))**(9\/2) assuming h is positive.\nAnswer: h**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 35*r**2 + 110*r - 1482. What is h(37)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6912 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/13 + 218*q**3\/13 + 220*q**2\/13 = 0?\nAnswer: -1, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*j - 3, j - 101*x - 6 = -102*x. Solve s - 6 = -s - 2*b, s + 1 = j*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -898 - -906. Suppose -i + 2 = 5*v + 3*j, -5*j - 10 = 0. Determine f, given that 2*f**4 - 1\/2*f**3 - 1\/3*f**2 + v + 0*f - 7\/6*f**5 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2822 - 2921.9. What is q rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k + 8282 - 5588838 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55837886.\nAnswer: 2, 13, 2147611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (4 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186.5 - -187. Which is the second biggest value? (a) y (b) -42 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 4*n + 4. Let c = -19 - -10. Let o = c - -5. Let y(v) = 2*v**2 - 3*v + 3. What is o*y(d) + 3*q(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.176 (c) -1\/4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 11 = -7*o - 16, -12 = -3*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 3 - 3*l**2 + 4*l**2 + l**2 - 2. Let o be (-5)\/2 + 3\/(-6). Let u be z(o). Solve u + 10 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 4 in decreasing order.\nAnswer: 4, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/50)*z**13\/z)\/(z**19)**(-1\/81) assuming z is positive.\nAnswer: z**(49469\/4050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -631, -0.2, 5, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:53 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 50 = -u, v + 7 = 3*u + 29. Suppose -4*b = 4*a - 0 - v, 52 = 4*a - 5*b. Calculate the greatest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 434.\nAnswer: -173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61346 + -14139. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 - 22*b.\nAnswer: -b*(b + 132)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61354 divided by 30677?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3189, 1, -2, 8 in descending order.\nAnswer: 8, 1, -2, -3189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -262*y + 269*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1\/7, 0.181, -3 in descending order.\nAnswer: 4, 3, 0.181, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5211, 20436, 45817, 81354, 127047, 182896?\nAnswer: 248901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/9 + 2\/3. Let x be (-1 + (-18)\/y)\/(2\/(-40)). Calculate the remainder when x*(42\/4)\/(-3) + 3 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106 - 0) + 2 + -1 + -20 + 20.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:58 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 36, -130*t - 69*t = 3*k + 66*t - 266*t - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((8\/3)\/((-10)\/(-15)))\/((-2)\/(-6)). Solve 45*l - g*l = -99 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 63.00000056. What is a rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 110691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 451*a**2\/5 + 620*a + 3552\/5.\nAnswer: (a - 444)*(a - 8)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/64 and 9\/7593920.\nAnswer: 7593920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*s, -9 = -m - 4*s + 38. What is the least common multiple of m and 12?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, c: 13}. Give prob of sequence cnc.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (224\/(-20))\/(-4). Let j = -298\/99 + 38\/11. Which is the nearest to i? (a) j (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by 232.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3020771 (base 9) to base 3.\nAnswer: 10000200212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-14))\/(28\/(-7))*((-4)\/40)\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -17. Let n = 44 + x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 4142008.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*u - 27 = -511*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 - 0. Sort c, 1, 2.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*o**4 - 89.\nAnswer: 236*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -6*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egpvvbwe. Give prob of sequence bvpw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35*3\/(-36) + 3. Do 1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32300570669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 17*t + 110. Let w be a(-22). Suppose w = 7*k - 207 + 179. Solve -3*j = 2*n - 14 + 6, 3*n - 10 = -k*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004094 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882708 is divided by 941183?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1486 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -4*o + 4*o**2 - 35 - 1\/3*o**3. Let j be (-27)\/(-4) - 2\/(-8). Determine b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91\/6 - -9379\/618. Is h < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f - 1. Let l be t(-3). Let w(z) = 4*z**2 + 4*z - 1. Is w(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/8 - 11*f**3\/6 - 11*f**2. Let c be k(-13). Suppose -32*v + c = -28*v. Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5 + (1 + -2 - (-4765 - -17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7333 (base 10) to base 2\nAnswer: 1110010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 2565.\nAnswer: 1282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -90?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzff when four letters picked without replacement from fzfffzzf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2393956881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7))**(-3\/11))**(-2\/15) assuming c is positive.\nAnswer: c**(2\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/26 - 904*q**3\/39 - 51076*q**2\/13 + 3736. Factor l(s).\nAnswer: -2*s*(s + 226)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 1\/6 (c) -37.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 - 1\/12*h**4 + h**2 - 1\/6*h**3 + 2*h. Suppose 2*g + 2 = -3*p, -p = 2*g + 5 + 1. Calculate l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 590744*c - 590744*c + 74*c**4 + (-4 + 3 - 2)*(-2*c**4 - c**4 + 2*c**4).\nAnswer: 77*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4702 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95307340*d**2 + 159553618*d wrt d?\nAnswer: -190614680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:30 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57746045 to the power of 1\/2, to the nearest integer?\nAnswer: 7599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44 + 1211?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-15)\/50*-1. Let f be -4*(-1*2)\/(-4). Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from lyyhe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 419, 261, -5 in descending order.\nAnswer: 419, 261, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 108 = 3*o. What is the lowest common multiple of 36 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8*f**2 + 6*f - 8. What is j(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4. Let b be 19 + -3*(5 + -4). Suppose -7*j + b = -5. Give a(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 6*r**2 - 7*r - 2. Let s be n(4). Let t(f) = 2 - 35*f + 80*f + f**s - 39*f. Let h be -3 - (-1)\/(-3)*3. Give t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-77)\/(-308))\/(14\/16). Sort 4, m, 1.94, 5.\nAnswer: m, 1.94, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7129686 and 1374.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {z: 2, r: 4, y: 7, l: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 3, -7, -2851, 0, -4 in ascending order.\nAnswer: -2851, -7, -4, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 33. Factor 3*g + 18*g**2 + 7*g - v*g - 21*g**2.\nAnswer: -3*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15502 is divided by 397?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 3*g + 9. What is u(-9)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1925 - -1888.62. Let h = n - -37. Let u = h + -0.92. Which is the third smallest value? (a) u (b) 2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11000101001?\nAnswer: -11000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3358 <= -3361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3975 is divided by 361.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = -r + 5*z, 2*r = -4*z + 26. Suppose 0 = -2*x + r*x - 9. Solve 2*o - x + 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 1. Sort -3, -1\/6, p.\nAnswer: -3, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - ((-32)\/(-8) - (1 - -7)). Sort -4, 13, -3, u in increasing order.\nAnswer: -4, -3, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(1 - 6\/4). Let v(t) = t**3 + 5*t**2 - 2*t - 7. Let m be v(f). Suppose -4*s - m = -27. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:48 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {f: 1, v: 4, s: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n**(1\/5)*n)*n*n**(-2\/5)*n**(-1\/26)*n**(-6)\/n assuming n is positive.\nAnswer: n**(-1123\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, u: 4, g: 6}. What is prob of picking 2 j?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 178.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -161*h + 11. Let f be q(-5). Suppose -5*o + f = -4769. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38998.482 to the nearest one hundred.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -835\/2 + 465. Find the common denominator of c and -89\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f*f*f**(-4\/7))\/f)\/(f\/(f**4*f*f))*((f\/f**(-2\/17))\/f)\/f**(-9) assuming f is positive.\nAnswer: f**(1969\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2683, -5381, -8079, -10777, -13475?\nAnswer: -16173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3591 - 2254. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j. Let y(h) = 3*h**2 + 5*h. Calculate c(y(u)).\nAnswer: -18*u**2 - 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1495 - -1479. Which is the closest to -2\/5? (a) -0.1 (b) 0 (c) x (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992217 divided by 5.\nAnswer: 992217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*q - 3*i, 0 = -q + i - 4*i + 26. Let c = -15 + q. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-8)\/6 + 0. Suppose 0 = -g - 0*n + 3*n - 4, 5*g + 9 = 4*n. Let u be 0\/18 - (0 - -1)\/g. Which is the nearest to 2? (a) i (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 + 7*o**3\/6 + 3*o**2 + 9*o. Suppose -3*p - 5*h = -2*h, -4*h + 35 = -3*p. What is f(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -0*o, -5*o = 5*u + 405. Let g = -61 - u. Solve z = -p + 1, 2*z = 3*z - 5*p - g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95 + 0.05. Let f = w - -2. Which is the nearest to 1? (a) 0.1 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (3 + 0 + -1). Determine z, given that 14*z**2 - y + 4*z + 6 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8392 is divided by 1963.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 181032666?\nAnswer: 181032665.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.4 (c) 125 (d) -6 (e) 532\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5329 bigger than 5329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 4*b**2 - 21*b + 46. Is o(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4910583, 9821164, 14731745, 19642326, 24552907?\n\"Answer: 4910581*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 + 404*t - 6480 = 0. Calculate t.\nAnswer: 20, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/((-5115)\/(-124))*(-117)\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (6 - -10) + -3 + 107 + (54 - 58).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54887252 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*((sqrt(180) - (((sqrt(180) + 1 + sqrt(180))*6 - sqrt(180)) + sqrt(180))) + sqrt(180)))**2.\nAnswer: 2880*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 22*n**3 + 16*n - 10. Let y(a) = -2*a**3 - a**3 - 6 - 4*a**3 - 5*a + 9. Let l = -1 + 17. Calculate l*y(g) + 5*p(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*l + 331 = -233. Solve -k + 9 = -12*i + 9*i, 3*i = -l*k - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 19867 = 19835, 5*x - 4*r - 84 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 4:00 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103695 and 92535?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 741 - 742.378. Round c to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 3\/(-9)*-9. Let i(h) = -10 + 2*h**2 + 5 + 3 + 16*h**b + 1. Let q be i(1). Solve -2 = -3*u - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274848574 divided by -1784731\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21180*v**4 + 542*v**3 + 1037413*v**2 + 4*v - 1 wrt v?\nAnswer: 508320*v + 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 769 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 - 3*k + 2. Let t be l(3). Let w = 32 - t. Find n such that -39*n**2 + w*n + 102*n**2 + 35*n**2 + 2 + 7*n = 0.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9991847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (561 - 489) + (-97 - -9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*c + 25*c**2 - 10 - 2*c + 37*c - 1 + 1 = 0. Calculate c.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12022793 to the power of 1\/2, to the nearest integer?\nAnswer: 3467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398068?\nAnswer: 2, 569, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 650 = 2*l, -4*b + 2*l - 658 = -7*b. What are the prime factors of b?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010275 rounded to five dps?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 - 17 = 0. Suppose b + f*b = 12. Find the third derivative of 2*q**3 - q**3 + 7*q**b + 0*q**2 - 2*q**2 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.2 + -52. Let t = 34183\/7 + -4858. Let f = 25 - t. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c34 + 40?\nAnswer: -bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 28, -3130818, -1, 0 in increasing order.\nAnswer: -3130818, -3, -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1063 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 - -64 - (-35 - -42) - (-11 - -17).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548676 is divided by 1335.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.34453425 to 4 dps.\nAnswer: -1.3445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(4*c - 3*c + 13*c + (-2*c - 2*c + 5*c)*(1 + 0 + 0) + 7106*c + 6 - 3557*c - 3507*c).\nAnswer: 57*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*q**3 + 2 + 118*q**3 - 2)*(-13 - 1 - 20).\nAnswer: -8296*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - 12\/(-15) - -6. What is the closest to -7 in k, 0.06, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 + 50*c + 132 = 0. Calculate c.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-48)\/30)\/2*(-27)\/(-12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 2. Let t(h) be the first derivative of h**2\/2 + 9*h - 1. Calculate the least common multiple of t(-7) and n(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 23 (c) 125\/3 (d) -0.2 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1644273*h**2 + 0*h - 1644329*h**2 + 0*h.\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j + j - 3*j - 4*j in the form q + v*j and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*f - 0 - 10, -4*f - k = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 780533 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 5*z - 5*z)*(2 - 2 - 1) to the form x + t*z and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 27692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53739134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199 - -197. Which is the nearest to 0.1? (a) 1\/4 (b) 2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 2*g. Let p be c(3). Let n be (p + 40\/12)*-3. Let d be (-20)\/(-25)*1*(-5)\/11. Which is greater: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 157.6539 meters?\nAnswer: 0.1576539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 6, 73 in increasing order.\nAnswer: -1\/8, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z*z**(2\/3)*z)\/z)\/z))\/z)\/(z\/((z\/z**(-8))\/z*z*z*z)*z) assuming z is positive.\nAnswer: z**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2186*y. Let j(x) = -2*x**2. Determine q(j(t)).\nAnswer: -4372*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**7\/840 - r**6\/240 + r**5\/80 + r**4\/12 + r**3\/6 + 270*r**2. Solve b(i) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/137 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145522 and 63336?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29 + -32 + 6*1. Solve 6*c = p*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71916 = 928*o - 34804 for o.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141840 and 34?\nAnswer: 2411280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**2 + 48913*d**3 + 50725*d**3 - 99637*d**3.\nAnswer: d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*p - 2 = 3, -24 - 11 = -259*q + 270*q - 4*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/10 - 404011*r\/5 + 163224888121\/10.\nAnswer: (r - 404011)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 - 4*u - 13. Calculate w(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 2*a + 1. Let v(u) = u**2 - u - 1. Suppose 11*q - 8*q - 6 = 0. Let o be q - (-4 + 1 + 7). Let n(h) = o*v(h) - 2*p(h). Factor n(d).\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17896 = 2*n + 2*f - 42734, 4*n - f - 49681 = 0. Round n to the nearest one hundred.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0 + 0*b**6 - 1\/336*b**8 + 2*b**2 + 0*b**4 + 0*b**7 - 1\/60*b**5 + 0*b**3 + 0*b. What is the third derivative of c(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (0 - -1) - 0. Suppose 0 = -3*q - m*q - 4*d - 240, -2*d = 2*q + 98. Find the common denominator of -79\/4 and 268\/q - (-2 + 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/2 - 8*n**2 + 9*n + 84. Calculate q(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.7 (b) 0 (c) -3\/2 (d) -5 (e) -2\/5 (f) 283\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/(-12)*(-1822)\/(-15487)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*i + 1351, i - 5*i = h - 2711. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 0. Suppose -3*i + r + 83 = x, -5*r + 98 = 2*i + 2*i. Is (-6)\/i - (-2614)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:27 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 223 + 1?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-731)\/(-3655)*(180 + (-25)\/5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010011 (base 2) in base 6?\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 4*w + 2. Let q(a) = 3*a**2 + 8*a + 3. Let n(u) = 3*q(u) - 5*x(u). Let b = -1 - -3. Give n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhloooolohoohohohho. What is prob of picking 2 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*g + 46 = 0, 9*v + 4*g + 242 + 75 - 108 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -4*s - 2*j - 236, -s + 2*j - 87 = 0. Let d = -71 - s. Let i be 14*(0 + 4\/(-2 + d)). Solve -i = -3*k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2. Let l be r(-1). Let f = -1 - l. Let m(z) = -4*z - 12. List the prime factors of m(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -11\/1942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.246, -0.2, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 1889, 4427, 8027, 12701, 18461, 25319?\nAnswer: 33287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -138, -263, -408, -579, -782, -1023?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:36 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -19. Suppose 2*c - a*c = 5*x - 47, 5*c - 65 = -5*x. Is (1 + (-14)\/6)\/(c\/(-5157)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 16*u**2 + 18*u**2 + u**2.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-100)\/(-2)*(14 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/2 + n. Let x(r) = -1 + 1 + 3735*r - 3719*r. Give x(k(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 380381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 56\/336 - (-2252)\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 80 - 80. Let j be y(7). Solve -9*k = -j*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.43, 0.3, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 287.8898 micrograms?\nAnswer: 0.0000002878898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**3 + 0 + 0 + (-6 + 8 + 2*r + 8*r)*(-44*r**2 - 23*r**2 + 6*r**2) + 2*r**3 + 0 + 0.\nAnswer: -601*r**3 - 122*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/287*(-1)\/((-3)\/7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/10*1 + (-165)\/(-25) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (6 - 7) - (4 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*c + 206*c = -306*c + 4740 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2\/11, -4, 0, -0.12, 10 in increasing order.\nAnswer: -48, -4, -0.12, 0, 2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1476 divide 35060904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 10)*1\/(-2). Let j = 2 - l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/38 and 77\/136.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-6 - -1) + 1 - 4 - -52).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let w(m) = 50*m + 11 + 42*m - 104*m. What is 22*f(u) + 2*w(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 221143, 899461, 2029991, 3612733, 5647687, 8134853, 11074231?\n\"Answer: 226106*x**2 - 4963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11284*q + 3614*q + 401*q to the form s + n*q and give n.\nAnswer: -7269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-6) - 35\/(-12600)*1284.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 2*w - 4. Let u be g(5). Let c = 31 + u. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 p, and 1 o when four letters picked without replacement from {o: 2, s: 9, p: 2}.\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -452 - -488. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2489718, -4979423, -7469128, -9958833?\n\"Answer: -2489705*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Suppose -6*f + 139 - 133 = 0. Let h(c) = 14*c - 18*c + 0 - 1 - f - 49*c. Determine x(h(i)).\nAnswer: 53*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/220 + 1\/(-12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - 33.09. Let w = 2611 - 2642. Let m = y - w. Sort 3, 0.4, 2, m in decreasing order.\nAnswer: 3, 2, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*h - h = -20, -h - 8 = -2*p. Suppose p*i - 34 - 54 = 0. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 13*k = 4. Suppose 0 = -4*z + 4*l + 4, 0*z + l = 2*z - 6. Sort z, k, -4.\nAnswer: -4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24268, 991, -2, -0.1, 1 in ascending order.\nAnswer: -24268, -2, -0.1, 1, 991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 3.4.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 4*j - j + (4 - 6 + 1)*(5897 + 284*j - 5897).\nAnswer: -286*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 18*b - 78. Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 740385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 292 and 9026?\nAnswer: 1317796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4\/9))\/s)**(-20)*s**11\/(s\/(s*s*s\/(s\/((s*s**(3\/16)\/s)\/s)*s))*s) assuming s is positive.\nAnswer: s**(2603\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2 - 37 = 0. Let l be 5 + (-7 - v) - 3. Suppose 2\/3 - f + 1\/3*f**3 + l*f**2 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 - 1. Let p = 0 - 0. Determine s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i - 285. Let y be f(-18). Solve -9*r + 6 = -y*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let b be (16 - 6 - 10)\/1. Solve 2*q - t - l = -5*t, q - 3*t - 6 = b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128602513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 20. Suppose 0 = -2*l + 5*l - 18. Let j be (-2)\/(-1*h\/l). Solve 0 = 3*i - 12, i - j = -4*g - 2*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 6*u + 4. Let h(m) = -3*m - 2. Let v(k) = -k**2. Let w(c) = -h(c) - v(c). Let l be w(-5). Suppose f = -2*f + l. What is z(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*s**2 + 1243*s - 1243*s as h*s + j + z*s**2 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 717 in decreasing order.\nAnswer: 717, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n**(3\/5)))\/n)\/n)**(-1\/67)\/((n\/(n*n**(4\/5)*n*n))\/n*n**(-1\/10)))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 172*b**3 + 24?\nAnswer: 516*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43945 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 3*i = -2*u - 78, 5*u - 3*i = 84. Solve j - 8 = 2*r - 0, -r = 5*j - u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 6. Suppose -4*i + 0*y - 6 = -p*y, -4 = -2*y. Suppose i = 3*g - 1 - 11. Solve -7*r - g = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0071 (b) -0.4 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -671, -693, -745, -839, -987, -1201?\n\"Answer: -2*t**3 - 3*t**2 + t - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 2, -73 in increasing order.\nAnswer: -73, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/60 + x**4\/12 + x**3\/6 - 56*x**2. Determine j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*h + 20 - 40 - 3297*h - 16025*h + 20)*(5 - 5 + 3*h) as t + r*h + a*h**2 and give a.\nAnswer: -58047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(117)*-5*-6)\/((sqrt(216) + (sqrt(216) - sqrt(216)*2) + sqrt(216))\/sqrt(6)).\nAnswer: -150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 400\/120*9\/(-1). What is the units digit of 210\/(k\/(-12) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 14*t + 13. Let p be c(13). Let q(y) be the first derivative of -y**4\/4 + 6*y + 20. Calculate q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -9 + 8 - -31.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -4*u**3\/3 - u**2 - 13*u. Determine o(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1036 + -292. Suppose v = 7*v - r. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -138. Let t = q + -17. Is -48 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2*t**6\/3 - 196*t**5\/5 - 3*t**4 + 580*t**3\/3 + 196*t**2 + 2218. Solve h(s) = 0 for s.\nAnswer: -1, 0, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-2)\/18)\/(2\/(-9)). Put -4, r, 2, 3 in descending order.\nAnswer: 3, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p*x**2 + 51*p*x - 15*p - 33*x**2 wrt x.\nAnswer: -8*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29109 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -a, 3560912*h + 6 = 3560914*h + 2*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 at least 1746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*z**2 - 587*z**2 + 203*z**2 + 1036 + 198*z**2.\nAnswer: 2*z**2 + 1036","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -16.2 (b) 2\/5 (c) 3 (d) 1032\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -249*q**3*u + 15*q**3 + q**2 + 283*u - 178 wrt u?\nAnswer: -249*q**3 + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1009059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42, -5, -0.16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20805 + -20805. Suppose -d + 5*z + 23 = 0, 5*d - 4*d + 3*z + 9 = 0. Solve -4*t - 4*b + 20 = 0, -b + d*b - 4 = u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43190 is divided by 21542?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 1048, -19, -1, -4, 3 in decreasing order.\nAnswer: 1048, 3, -1, -4, -5, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -1\/2, 6, 2, -17\/6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.092?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -0.8, 4, -49\/4 in descending order.\nAnswer: 50, 4, -0.8, -49\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 608110*v**2 - 4*v - 7*v + 608107*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(j + 0*j - 3*j)*(-36*j - 17*j + 4*j).\nAnswer: -98*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-26 - -7 - (11 + (-11 + 6 - 14)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -22.6. Let s = k + 0.1. Suppose -6*m + 10 = -4*m. Which is the smallest value? (a) m (b) -4\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -431, -977, -1741, -2723, -3923, -5341?\nAnswer: -6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/383, 2\/5, -1571 in increasing order.\nAnswer: -1571, 10\/383, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5101432 weeks to minutes.\nAnswer: 5142.243456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38\/24633 or -1?\nAnswer: -38\/24633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 168\/(-60). What is the fourth smallest value in -4\/3, -4, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose -a + 4*q - 4 = 3*q, -5*a + 8 = 2*q. Let n = p - a. Solve 3*o = -0*o - 3*j - 9, j = n*o + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 + 67*c + 9. Let a(g) = 3*g**2 + 34*g + 4. Let z(y) = 5*a(y) - 2*f(y). Let k be z(-36). Solve k*t - 3*b + 8 = 0, -2*t - 4*b - 4 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17628101?\nAnswer: 97, 263, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 5*g - 6. Let h be z(5). Suppose -7*d + h = -5*d. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1170 - -1546. Calculate the lowest common multiple of 9 and k.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -421.9264 - -422. Round t to three dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*t + 8 + 2 = 0, 5*t - 11 = 2*p. Let h be (-52)\/(-104)*(1 - 3). Sort 36, p, h.\nAnswer: p, h, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/35 + 9 - (-2)\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.980642 tonnes in micrograms?\nAnswer: 6980642000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 932 and 80.\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a - 2627625 = 0. Let x = 295525 + a. What is x rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17897.985 milliseconds to hours.\nAnswer: 0.0049716625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52049, 51975, 51857, 51701, 51513, 51299?\n\"Answer: n**3 - 28*n**2 + 3*n + 52073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 22*u + r + 30 = 50*u - 3*r, 3*r + 21 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 1912.\nAnswer: -17\/1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*m**3 - m**2 + m**2 + m**2 + 36*m**3 + m - 11*m**3 in the form w*m**3 + y*m**2 + p*m + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 8*l**3 + l - l**2 + 35*l + 10*l**3 - l**2 to y + r*l**3 + s*l + u*l**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/1843 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183730, -367642, -551734, -736006, -920458, -1105090?\nAnswer: -1289902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1020244101 + -2?\nAnswer: 1020244055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51056666 less than 51056665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -77\/24 (b) -0.2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**1*m))\/(m**(2\/13)\/m*m))\/(m*m**(1\/3)*m*m)**(9\/7) assuming m is positive.\nAnswer: m**(-404\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*j = 36, i + 46164*j + 21 = 46159*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-3)\/(-45))\/((-36)\/(-10))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 402382992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/163 + 352\/2119. Let l = 37 - 36.9. What is the third smallest value in l, a, 5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40398 - 40177. What is the remainder when 830 is divided by j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/700 + -1 - ((-5538)\/300)\/13.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-3\/10)*q*q**(-8))\/((q**(1\/5)*q)\/(q**(1\/7)\/q))*(q**(-2))**(-2\/19)\/(q\/q**(-6)*q**9) assuming q is positive.\nAnswer: q**(-6157\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12432149*f**3 + 31182772*f wrt f?\nAnswer: 74592894*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 23*c**3 - 11*c**3 - 9*c**3 to the form j*c**3 + p*c + d + n*c**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:32 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 3, j: 5, h: 5}. What is prob of picking 1 h, 2 j, and 1 n?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61060600 to the nearest integer?\nAnswer: 7814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrp when three letters picked without replacement from {e: 3, g: 1, r: 1, p: 5, j: 2, c: 1}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 4*x**2 - 3*x - 4. Let v(q) = 6*q**3 + 8*q**2 - 7*q - 9. Give 9*k(f) - 4*v(f).\nAnswer: 3*f**3 + 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 14)\/((-2)\/10).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 34*j. Let l be c(0). Let k(o) be the third derivative of 0*o**3 - o**2 + 0*o - 1\/40*o**6 + l + 3\/8*o**4 + 1\/10*o**5. Factor k(v).\nAnswer: -3*v*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0227 + 2.1673. Let s = -2.19 + j. Which is the nearest to -5? (a) -6 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1147334 and 12.\nAnswer: 6884004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892624.\nAnswer: 2, 47, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 21 = 15*h - 18*h, -2*h + 20 = 3*r. Solve 12 = -r*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*c + 68, 323 = -7*b + 12*b - 2*c. Calculate the greatest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*u + 1545 - 103 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*s - 2*f - 18, -28 = -4*s - 4*f. Let o be s\/((-36)\/16) + 23. What is the highest common divisor of o and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368 (base 11) to base 7.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p - 320 = -2*u, u = 3*p + 160. Suppose -16*j + 20 = -14*j. What is the highest common divisor of u and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c - 4\/7 - 2\/7*c**2 + 1\/7*c**3.\nAnswer: (c - 4)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 + -166. Solve -10 = -v*y + 2*n, -6*n = -2*n + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (4 + 5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + (sqrt(972) - ((sqrt(972) - (sqrt(972) + 1*sqrt(972))) + sqrt(972))) + sqrt(27) - sqrt(27))\/sqrt(9) + -6*(sqrt(3) + sqrt(3) + 1 + 0)**2.\nAnswer: -78 - 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61554605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 4*((-1*sqrt(117)*-1)\/(1*sqrt(900)))**2.\nAnswer: -62\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428722265?\nAnswer: 5, 85744453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) 3 (b) -2\/305 (c) 4.8 (d) -0.4 (e) -0.1 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 213 and 4436073799253?\nAnswer: 4436073799040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15021375209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -541 + 7631\/14. Let v be (-474228)\/32*2\/132. Let r = 2494\/11 + v. What is the common denominator of k and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -8 + 11, -4*f + 3 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00795 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -34.8?\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21*c + 19*c = -20862, 7*c - 7 = 0. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643 + -642.8. Sort k, -7.3, 2\/5.\nAnswer: -7.3, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-11 + 4 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428*c**2*n**3 - c**2*n + 23*c*n**2 + 15*c*n - 10*n**3 - 70*n**2 - n wrt n?\nAnswer: -2568*c**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9295800 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/148 and -81\/296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**7\/420 - s**6\/360 + s**3\/2 - 2*s**2. Let w(h) be the first derivative of m(h). Find the third derivative of w(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217620)\/(-6603) + (-627)\/(19\/1).\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7323*k**5*n - 2*k**2 - 13*k*n - 10*n wrt k?\nAnswer: -439380*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934014?\nAnswer: 2, 3, 17, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 200. Let m(o) = 176*o**2 + 3. Give m(a(f)).\nAnswer: 704*f**2 + 140800*f + 7040003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 41*j**2 + 2*j + 3. Let y(l) = 2*l**3 - 41*l**2 - l - 2. Calculate -4*x(a) - 6*y(a).\nAnswer: -4*a**3 + 82*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 12*f**2 + 15*f + 19. Let t be r(-13). Let x be 3*2\/(-3)*(t - -5). Solve x*l + 3*h = -0*l + 10, l = -5*h + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f - 9 + 9 + (2 - 6 + 3)*(-3*f - f + 2*f) - 19*f + 2*f - 2*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15539615 less than -11?\nAnswer: -15539626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 times -0.1\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n. Let b = -10 + 12. Let v be 3 + (-256)\/52 + b. Is v > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -92*r + 6. Let s(y) = -91*y + 7. Suppose l - 6*l - 5*v + 50 = 0, 0 = -4*l + 5*v + 13. Let p(i) = l*z(i) - 6*s(i). Let b(o) = o. Calculate p(b(t)).\nAnswer: -98*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-150)*5*-1*(-236)\/1416.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.6 (b) -320.9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 13535234.\nAnswer: -54140936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 17*p**2 - 46*p + 3. Is l(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22200 - -1?\nAnswer: -22144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}