{"text":"Question: What is the next term in -92044, -368145, -828308, -1472533?\nAnswer: -2300820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f**3 + f**3 - 5*f**3)*(-14 - 23 - 1).\nAnswer: 76*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23244?\nAnswer: 2, 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of p**2\/2 - 6*p + 3. Let g be v(4). What is the tens digit of 22\/2*(g + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -10, 37, 158, 389, 766, 1325, 2102?\n\"Answer: 6*j**3 + j**2 + 2*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 20*h. Let s(y) = -223*y**2 + 305*y**2 - 342 + 344. Calculate s(f(p)).\nAnswer: 32800*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2881 and 46741?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zaaz when four letters picked without replacement from zaaazzazza?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*j*k*m*w**2 + 6*j*k*m*w + j*w**3 + 5*j + 2*k*w**2 + 2*k - 2*m*w**3 wrt m?\nAnswer: 5*j*k*w**2 + 6*j*k*w - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-8) - 14\/(-4). Let k be (-2)\/(-10) + 4368\/910. Put o, -2, k in increasing order.\nAnswer: -2, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of z**6\/60 + z**5\/10 - 61*z**4\/12 - 21*z**3 + 3969*z**2\/4 + 2308*z. Find r, given that m(r) = 0.\nAnswer: -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the second derivative of 0*x**3 - x**2 + 1\/24*x**4 + 0 + 1\/15*x**5 - 5*x. Let q(t) be the first derivative of r(t). What is q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qci when three letters picked without replacement from qiciiihihdiqh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, p: 1, w: 1, v: 13, d: 2}. Give prob of sequence ddvg.\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -2, 3018?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 greater than or equal to 0.141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17 and 23239.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-8)*c)**(1\/25) assuming c is positive.\nAnswer: c**(-7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 333 = -68*o + 31*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 4*d + 2. Let a(c) = 3*c + 2. Let k be a(0). What is the nearest to 0.1 in -2, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 2 - 3)*(u - u**3 - u + (-4 + 2 + 1)*(2*u - 2*u + u**3)).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1245474737.\nAnswer: 13, 79, 93287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 722 - 310. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(6*29\/((-10440)\/(-84)) + 324\/(-235)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 2*x + 5. Let p be w(7). Suppose 2*s + p = 77. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169 = 10*c + 19. What is the second derivative of 36*h - 2*h - 5*h**3 + 37*h - c*h wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -3*y**2 + 5*y - 12. Let m(t) = -5*t**2 + 8*t - 18. Suppose -7*u = -u + 323 - 371. Determine u*p(i) - 5*m(i).\nAnswer: i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 71, 70, 69?\n\"Answer: -u + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-28)\/(-18)*(32 - 23). Suppose 10*n - p*n = 3*v - 3, -5*v - 30 = -5*n. Which is the third biggest value? (a) -5 (b) -64 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*s - 67*s = -64. What is the second derivative of -s + 5*j**3 + 130*j - 65*j - 67*j + 7*j**2 wrt j?\nAnswer: 30*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c - 1. Let i be m(3). Let a be (6 + -41)\/5 - 1. Let o be -4*(180\/24 + a). Solve 3*u - o*l - 7 = 0, i*u - 7 = l - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - 83?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**2 + 8*i + 3 - i + 0*i. Suppose 3*p + 58 = -4*v + 6*v, -5*v + 57 = -2*p. Is 11 a factor of r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 35 - -b?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3968, -3549, -3128, -2705, -2280?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -4*t - 75. Determine b(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1692 and 23184.\nAnswer: 1089648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*b = -11 - 27 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/12192 and 137\/60?\nAnswer: 60960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 18 = 5*l, 4*l = -b + 6*b - 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from adxhhagg. What is prob of sequence agd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10.05 + -10. Let s = -0.15 - f. Let i = 197 + -202. Which is the nearest to s? (a) -4 (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-five quarters of a meter in centimeters?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 5*l + 0*l - 2*l. Let s(v) be the second derivative of 1\/12*v**4 + 0 + 0*v**2 + 0*v**3 - 5*v. Give a(s(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 49109 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 391, 493, 639, 823, 1039, 1281, 1543?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000228093 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 4*g - 3*g - 3, -5*g - 5 = 0. Suppose u - 777 = -2*m, -n*m + 0*u = -4*u - 782. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19694036 to the power of 1\/2, to the nearest integer?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 168667541.\nAnswer: 7, 19, 1268177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -1942 + 172 = 119*v - 104 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 - -26. Suppose h + h = s, 4*h = -4*s + 12. Let j(a) = 8*a**2 - 1 + 3*a**2 - 2*a**2 + a**s. Give j(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/v**(-2\/3))**23)**(-3\/8)*(v*v*v\/(v\/(v*v**(-1\/8)))*v*v**(2\/17))**(-25) assuming v is positive.\nAnswer: v**(-7765\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -143\/6 and 2\/(-4)*(-46)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9530 - 9530. Solve 2*x - h + 3 + 2 = f, -3*x - 30 = 3*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5368)\/44)\/(-61)*76\/57*(-213)\/8\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/15 - 1929*(-8)\/60. Let b = -226 + h. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 92 - 17. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1045 and 855.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-10)\/(-30) - 118\/(-6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 2*x**2 + 15*x + 9. Is s(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 17*o + 15 - 35 + 20 in the form w*o + b and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 6988.556g to milligrams.\nAnswer: 6988556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 309936150 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6607572 less than 7611918?\nAnswer: 1004346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -47013, -94567, -142123, -189681, -237241, -284803?\nAnswer: -332367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -4924 by -2.\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 + 21. Let v be (4 - (1 + -1))\/1. What is the second derivative of 0*x**4 - 7*x + 2*x**v + y*x wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 31*c**2 - 32*c + 59. Calculate the remainder when 3331 is divided by t(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (0 + 1)\/(37\/13 - 1) and 121\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 3*u - 24350, 11*c + 4*u + 19512 = 15*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 3 - 10 - c - 2*c. Let p be r(-7). Suppose 4*t - 2*a = p, 0 = -3*t - a + 2*a + 11. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 102 - 220?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m + 4. Let n be q(8). Let i(w) = -w**2 - 13*w - 5. Let r be i(n). Suppose -32 + r = 5*k. Which is the biggest value? (a) k (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - (-3 - -7)) + (-324)\/(-90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1824 divided by 4\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 43, 54, 67, 82, 99, 118?\n\"Answer: f**2 + 8*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -5*o - u + 10, -5*o - 2*u = -11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 28740218, 28740202, 28740188, 28740176, 28740166?\n\"Answer: h**2 - 19*h + 28740236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -280 divided by 140\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q = 3*c - 217291 + 217411, 200 = 2*q - 5*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 164560013 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 19*t = 14*t + 4105. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + o + 1. Let y(h) = 8*h**3 - 70*h**2 - 206*h + 170. Let z(t) = 2*w(t) - y(t). Factor z(v).\nAnswer: -2*(v - 14)*(v + 3)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*t - 1025*t**2 - 27*t + 8*t.\nAnswer: -1025*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -f**2*r - 53*f**2 + 2*f*r - 3*f - 4846*r with respect to f.\nAnswer: -2*f*r - 106*f + 2*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*o + 24 - 4*o - 33*o.\nAnswer: -o + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**4\/2 + 727*j**3\/2 - 76871*j**2\/2 + 2471897*j\/2 - 7611780 = 0 for j.\nAnswer: 8, 55, 57, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -228 or 399870?\nAnswer: 399870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-5*(2*sqrt(660) + sqrt(660)))\/sqrt(12))\/(sqrt(320) + (-2*sqrt(320) - sqrt(320))*-5 + sqrt(320))*3.\nAnswer: 135*sqrt(11)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*u**2 + 14*u + 33 wrt u.\nAnswer: 16*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w + 137 + 2739. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - 2) + 13\/(78\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 101001101111000 (base 2) in base 10?\nAnswer: 21368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, 34, 13, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0.5, 0.103, -2\/3, 2 in decreasing order.\nAnswer: 5, 2, 0.5, 0.103, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 55987007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -38 + 41. Let c(a) = -16 + a**m - 13 - 6*a**2 + 3*a**2 - 5*a + 32. Give c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 47 or 327\/7?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 381595019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 165379.\nAnswer: 165379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 135565117 a multiple of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**2 + 8. Let l(v) = 6*v**2 - 54. Let p(a) = 27*j(a) + 4*l(a). Let r(q) = 2*q**2. Calculate r(p(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 157.3 less than 0.5?\nAnswer: -156.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -266\/3 - -88. Let v = 3.4 + -3. Do v and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - (-5 - (-14 - -10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 71 - 71. Determine m, given that g + m**3 + 1\/2*m**2 - 1\/2*m**4 - m = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/252)\/2*7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -66.16 and -8?\nAnswer: 529.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, b: 1, l: 1}. What is prob of sequence kl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-3\/4)*u)**(5\/6) assuming u is positive.\nAnswer: u**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -343 (base 14) to base 13\nAnswer: -3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*r = -26*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -274*w. Let r(s) = -137*s. Determine -6*g(f) + 13*r(f).\nAnswer: -137*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1261719731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*j**2 + 8*j**2 - 38*j**2 + 2*j**3 + (-3*j + 0 + 0)*(-29*j + 34 - 34)*(0*j - 5*j + 3*j) to p*j**2 + h*j**3 + y + d*j and give h.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -181 (base 11) to base 12\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - m + 1)*(57 + 275 - 255 + 207).\nAnswer: -284*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 60414 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1397 (b) 1 (c) 4\/461\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 31 + -47. Let j = 79 - 82. Put 4, j, g in decreasing order.\nAnswer: 4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of l**5\/20 - 3*l**4\/4 + 3*l**3\/2 + 13*l**2\/2 - 35*l. Let d be r(8). Solve -d = -5*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 PM and 12:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 12 = -7*d. Suppose 2*p = i - d*p - 27, 3*i - 49 = -p. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 5*b - 119, -b - 2*i + 11 = i. Suppose 0 = -5*j - 23 + b. Suppose -o - 2 + 10 = j. What is the remainder when 37 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 4*x - v = 0, 0 = 4*x - 2*v - 6. What are the prime factors of x - (-7)\/((-7)\/(-30))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**3 + 14612*l**2 - 58496*l + 58512 = 0. Calculate l.\nAnswer: -3657, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 715 + -712. Suppose 0 = -4*b + 20, -6 = u - 0*b - 3*b. Let i = u - 7. Sort i, -3, q in decreasing order.\nAnswer: q, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 5*x + 9. Let q be 1 - 2*(0 + 2). Let j be t(q). Is 24 a factor of (4\/j)\/(16\/(-1152))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 6*i - 2*c + 187 = 0, 5*i + 4*c - 179 = 0. Suppose a - i = -7. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 130 + 3 + -12 + -11 + 1 + -4\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + (19 - 15 - 26) + 91.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -8 + 16. Let l be ((-2)\/6)\/((-2)\/(-78)). Let t = u - l. What is the remainder when 50 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -0.11, -0.1, 126330\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (-8 - -4)) + (-12 - -17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 3*b + 103 = l + 2*l, 13*b + 10*b = -529 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 + 6*c - 5. Calculate h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 - 5*l + 2. Let k = -7 - -14. Let n be z(k). Suppose 4*g - n = 2*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 129 (b) 0.1 (c) 7356\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ro when two letters picked without replacement from {r: 11, o: 2, c: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 818601, 818586, 818561, 818526?\nAnswer: 818481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-12 - -13)*(-8)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -979a0 (base 11) to base 6\nAnswer: -3014421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 24 = 4*o - 2*o, o - 2*f = 10. Is 15 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -153968260*g*j + 8857*j - 1645 with respect to g.\nAnswer: -153968260*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 1)*(-2*w**5 - w**2 + w**2 + (w**2 - 8 + 8)*(-2*w**3 - w**3 + 4*w**3) + 0*w**2 + 2*w**5 + 0*w**2 + 7*w**5 - 3*w**5 - 3*w**5).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence crts when four letters picked without replacement from {t: 1, g: 1, c: 1, s: 2, r: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -2*p**2 + 18*p + 5. Let z be c(5). Find the second derivative of -35*w**5 + 19*w**5 - z*w + 20*w**5 wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 281852*z + 534850.\nAnswer: 281852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - 6*r**2 - 33*r + 167. Let y be h(4). Solve -5*l + 19 = z - 2, -y*z + 19 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(10\/(-1))*-2)\/(1757\/(-17570))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 2*g - 1 = 0, w - g - 8 = -0*w. Let u = -7 + 11. Suppose 0 = -w*f + u*f + 7. What is the greatest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 207590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b - 2*t + 10937, 0*t - 6555 = -3*b - 3*t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -1.68 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 23973 and 607255?\nAnswer: 238651215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 4 + 25 = 0. Suppose 5*y - y - 16 = 0. Solve l + a + 2 = 4, l + y*a = -v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wmwwwmwwwwwwwwwwww?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 + 4. Let g(r) = r**2 + 7*r + 9. Let n be g(s). Differentiate -2 - v**3 - v**n + 0 with respect to v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42314\/(-3744789) - (-37528)\/354?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 12*g + 220. Let j be u(-18). Solve j*v + f = -1 + 3, 5*v - 8 = -4*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 0*r - 1 - 3*r + 3 - 4*r. Let k(a) = 8*a - 3. Let x(i) = -6*k(i) - 7*w(i). Let z be 2\/2*-3 + -1. Calculate x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 26 + 2\/(-3)*(7 + -10) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-20 + 0)*10\/25. Let q(c) be the third derivative of -5*c**4\/24 - 4*c**3\/3 - 13*c**2 + 6. What is the tens digit of q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -130052 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 352667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3341473 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 0*b**2 + 3*b**2 + b**2 - 5*b**2. Let y(w) = 74*w**2. What is f(y(k))?\nAnswer: -5476*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.16 - 0.16. Put -0.5, -9, q in ascending order.\nAnswer: -9, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2396334212.\nAnswer: 2, 17, 23, 1532183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1422, -1416, -1410, -1404?\n\"Answer: 6*d - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -4*v + 51. Let p be f(6). Let q be 36\/(-1161)*p\/6. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6350*m**2 + 48*m + 42 wrt m.\nAnswer: 12700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 431 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -24 + (-132 - 5) + 131.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1110811 times 0.3?\nAnswer: 333243.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 4841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:12 PM and 6:26 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1636*o**2 + 548*o.\nAnswer: -3272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 5*t + 40 = 9*t, 4*v + 25 = -t for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-23)\/(207\/(-6))*(2 + 87\/6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*c = 1048 - 400 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of u**4\/12 + 7*u**3\/6 - 137*u + 2. Let m be (-1 + 2)\/(((-96)\/40)\/12). What is v(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 62*f**2 - 22*f**2 - 30*f**2 - 3*f)*(35 + 15*f - 35) to p*f + l*f**3 + s + i*f**2 and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = -c + 54, -77*y + 116*y = -4*c - 79 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 8212492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2532, 5063, 7594, 10125, 12656, 15187?\nAnswer: 17718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1775629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 1020979405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1135382057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of a**3 - 3*a**2\/2 + a + 788. Let s(t) = 7*t - 4. Let h be (1 + -1 + 1)*4. Let r(x) = h*q(x) - 3*s(x). Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of h**6*i**3 + 7755*h**6 + 4*h**2 - 744*h*i**3 wrt h?\nAnswer: 120*h**3*i**3 + 930600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - 8\/(-4)) + -5. Is p greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -3*n**2. Let t(s) = -184*s. What is t(d(c))?\nAnswer: 552*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6057972794 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-l + 0 + 1 + 0*l)*(1428*l - 1428*l - 46*l**2) as w + c*l + s*l**2 + d*l**3 and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 20199513?\nAnswer: 20199513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 10, 88, 8, 1 in ascending order.\nAnswer: 1, 8, 10, 21, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91*n = 1021475 - 104013. Is n a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p + 7. Let g be z(7). Suppose -2*b - g = -2*h, -7 = b - 4*h + 9. Let l(c) = -c - 2 + c**3 + 6*c - 6*c**2 + 11*c**2. Calculate l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8688 + -8690. Let h = -97\/792 - -1\/88. What is the nearest to x in -0.5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -3*a**3 - 5*a**2 - 2*a. Let c be w(-3). Suppose 0*f - 5*f = -3*v + 69, 0 = -3*v - 4*f + c. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(75\/(-9) - -1). Suppose 4*z - 4 = -3*q + 1, -15 = 2*z + 5*q. Suppose 0 = -2*o + 3 - z. Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -2227.\nAnswer: 5\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 3*f = -34. Suppose 4*w - f = -5. Let h(p) = -22*p + 1. Let y be h(-1). Solve -8 = w*t - y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 344791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, 0, -15, -46, -99, -180, -295, -450?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38866515*a**3 - 50164935*a + 1 wrt a.\nAnswer: -233199090*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.22 - 3.22. Which is the smallest value? (a) -4\/3 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence acv when three letters picked without replacement from cvmmacmvavbmmambc.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 6*v. Let r be 368\/56 + (-3)\/(-7). Let c(k) = 1 - r + 2 - 4 - 2*k. Let m(w) = -w - 3. Let q(n) = 3*c(n) - 8*m(n). What is j(q(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 PM and 1:43 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 61339\/153667 + 1\/39656. Find the common denominator of -57\/2 and m.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 444 and 110821512?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -5 + -2 + 8 + -4 - -19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(1573)*-1.\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19 + 4*h + 19)*(0 - 3 - 5) to the form z + y*h and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23 - -43. Suppose -k = -2*x + 4*x. Let c be 2\/2 - (-14)\/x. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.17 in -0.2, 0.2, 10, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 4 + 0)*(-3*b + 3*b - 2*b**3 + (0*b - b + 3*b)*(3*b**2 - 4*b**2 + 2*b**2) + 2*b**3 + 0*b**2 + 0*b**2).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*s - 75 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3*1\/((-9)\/(-30)). Let z be (0 - -3)*f\/(-6). Let i(u) = 7*u - z*u + u**2 - 2*u. Let c(l) = 2*l**2. What is c(i(a))?\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 + t + 5. Let u be -1 + 3 + -9 - -3. What is the tens digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (679*m + 292*m + 849*m)*(11*m**2 - 11*m**2 + 2*m + 3*m**3).\nAnswer: 5460*m**4 + 3640*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1200\/174943 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-54)\/58)\/(10203\/(-197258)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + -1. Let h be (-27)\/12*(-4)\/3. Suppose o = -h*t - t + 16. Solve 3*l + 3*c - 9 = 0, -t*c + 26 = -5*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and -2742328.\nAnswer: 2742328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32 + 32. Suppose b = -2*k + 4*h - 4, 0 = -2*k + 6*h - 4*h. Suppose 0*g - 3*v = -4*g + 113, -k*g + 63 = 5*v. Which is smaller: 30 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1783 = 392*c + 242 - 1987 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**3 + q**3 + 2*q**3)*(-2 - 4 - 1)*(4*q + 0 + 0).\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -10*s**2 - 15*s. Let n(x) = -2*x**2 - 3*x. Determine -2*a(w) + 11*n(w).\nAnswer: -2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -203312?\nAnswer: 203310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - (10 + 14 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 2*k**4 - 62*k**3 - 1548*k**2 + 8. Let z(f) = 3*f**4 - 57*f**3 - 1547*f**2 + 7. Let n(x) = -7*o(x) + 8*z(x). Find the third derivative of n(j) wrt j.\nAnswer: 240*j - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**3 - g**2 + 4*g - 11. Let z be h(2). Let y be (-16)\/104*z\/(4\/(-2)). Put -1\/7, y, 4 in ascending order.\nAnswer: -1\/7, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - n + 226, 7*f + n = 10*f - 349. What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 43584 and 16169664?\nAnswer: 16169664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 418977 and 108.\nAnswer: 5027724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -4 (b) 1\/8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 64236900 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 34611024*n**5 + n**2 + 725662*n + 9 wrt n?\nAnswer: 2076661440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37422 is divided by 4156?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bkbmtttkjbbjvkb. Give prob of sequence bmtb.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14881 = 3*u + 4*l, 2*u + 639*l - 9944 = 641*l. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 divided by 9976.\nAnswer: -3\/2494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15.3 - 15. Which is the nearest to -0.1? (a) 6 (b) -3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -181.91 + 182. Which is the biggest value? (a) g (b) -2\/7 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16 + 16.03. Let m = -2.97 - f. Let j = -95\/4 + 23. Which is the closest to -1\/2? (a) j (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - k - 1. Let t(a) = 4*a**2 - 7*a - 3. Let u be 0\/(3\/(12\/(-4))). Suppose -6 = -u*j + 4*j + 2*g, 0 = -3*j - 3*g. Give j*m(h) + t(h).\nAnswer: h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o - 9. Let v be i(5). Is (v\/(-2))\/((-22)\/9812) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4\/9, -12, -18, -4 in decreasing order.\nAnswer: 2, 4\/9, -4, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 13*t. Let g(a) = 2*a. Let s(d) = -14*g(d) + 2*k(d). Let h(j) = 13*j. Determine h(s(w)).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n = -14*n + 16. Suppose -u + n = -5. Let o be (0 + -27)*1\/(-3). Is u greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 241019531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**3 + 10686*z**2 - 9320619*z - 349531308.\nAnswer: -3*(z - 1799)**2*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10110 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -28 + (16 + -21 - 7) + 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of o**2*u**2*z**2 - 2*o**2*z**2 - 34*o**2*z + o*u*z**2 - 5*o + 2*u**2*z wrt o?\nAnswer: 2*u**2*z**2 - 4*z**2 - 68*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 5*j = -21, -27 = 4*b - 2*b - j. Let h be 0\/((3 + b)\/3 + 2). Factor o**3 + h*o**3 - 14*o + 7*o + 6.\nAnswer: (o - 2)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express j**2 + j - 1 - 447*j**3 - 451*j**3 + 899*j**3 as b*j**2 + g*j + f*j**3 + l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-7)\/((-6)\/(-54) + (6 - (-4912)\/(-792))). What is the highest common divisor of 63 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 4563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 8*h**2 - h - 20. Let g be s(15). Let m = 14201\/8 - g. Find the common denominator of m and 137\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 5*i = i + 6, -5*i + 3 = -g. Let j be (-10)\/(g - (-15)\/3). What is the closest to 1\/3 in 1\/5, j, 3\/16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.8522 - 0.1478. What is the closest to 5\/23 in -4, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 0.3, -2\/7, -0.96, 0 in decreasing order.\nAnswer: 0.3, 0.1, 0, -2\/7, -0.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -248*y. Let z(t) = 17*t - 40. Let c(o) = -120*o + 272. Let j(r) = -5*c(r) - 34*z(r). Calculate j(m(f)).\nAnswer: -5456*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 56254879 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -203 times -4\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -902601 by 300867.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-36)*-30*-3*(-4)\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -6. Solve -k*j - 3*z - 2 = 1, -5*j - 11 = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -5*p + k, p + 8*k = 3*k + 12. Suppose -3*u + p*t - 15 = 7*t, 3*t + 9 = 0. Solve u*r + 4*w = -r + 5, r - 5 = -5*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 53.6, -0.3, 0 in ascending order.\nAnswer: -0.3, 0, 53.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 510 (base 9) in base 6?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 + -14.5. What is the smallest value in -2, -2\/9, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 63 = 316*g - 307*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.397 - -0.875. Let b = m + -0.212. Let d = b + 0.102. What is d rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23811, 95404, 214755, 381858, 596707, 859296, 1169619?\nAnswer: 1527670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7085\/9 + -787. Solve 2\/9*a**2 - q*a**4 + 2\/9*a + 0 - 2\/9*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 5\/8, 30, -18, 1\/3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(108) + 6*sqrt(108)*-2)*-2 + 4)**2.\nAnswer: 1056*sqrt(3) + 52288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2934 + 2442 = 2*c. Suppose 18*r - c = 6*r. What is the greatest common divisor of 56 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -m**3\/3 + 342200*m**2\/3 - 29282052800*m\/3 + 1170734656000\/3 = 0.\nAnswer: 40, 171080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2993022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 5*s**3 - 35. Suppose -6*u = -2*u - 5*j - 6, -5*u + 3 = -4*j. Let f(z) = z**3 - 1. Let w(q) = u*i(q) + 25*f(q). What is the derivative of w(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooowttwt. Give prob of picking 1 t and 1 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 1130 = -z - 1173, z = -17*i + 155 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 + 2*p**2 - 3*p + 2. Suppose -13 = -4*a + 4*q + 19, a + 3*q + 12 = 0. Suppose -x - 4 = t, a*t + 0 = -2*x - 7. Suppose 4 - t = -h. Calculate i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5\/2 in -15, 5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 928 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 40508049 and 526.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 6 - 34*l + l**3 + 41*l as k*l**3 + y + s*l**2 + j*l and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-52)\/(-60))\/(-13)*2390\/(-239).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 2*o**2 + 3*o**2 - 8*o - o - 4*o**2 as y*o**2 + q*o + v and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 647 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 AM and 2:09 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = 5*s - 0*s. Let t = 345 - 343. Suppose -r + 3 = -2*b - 8, -t*r + 3*b + s = 0. Solve -6*f + 2*f = -16, -3*u - 5*f = -r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 19 - (21 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 531216620 divided by 2738230.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 0 + 9. Suppose u = n*u. Let j(d) = -d + 5. List the prime factors of j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1351 + -1263. Let p(q) = 3*q + 2. Let k be p(3). What is the highest common divisor of k and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 12, -5, 4 in ascending order.\nAnswer: -5, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1794 a factor of 4937088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - (2 - 0)) + -9. Let a = w + 11. Solve a = 2*g - g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -21 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -54757 divided by 5?\nAnswer: -54757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 925584 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.03 + 0.02. Let r = -0.15 - v. What is the nearest to r in 0, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -41 + 41.00000068. Round b to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4\/7 (b) 1 (c) 1\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 122, 246, 370, 494?\n\"Answer: 124*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 2 y when four letters picked without replacement from {q: 1, p: 1, z: 2, j: 4, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 464677418?\nAnswer: 2, 23, 587, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6010*j**3 - 14*j - 14. Let c(k) = 1202*k**3 - 3*k - 3. What is -14*c(s) + 3*d(s)?\nAnswer: 1202*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -6090*s + 1236270. Calculate l(203).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*x - 6 = 3*h - 11*x, 4*h - 2 = -x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 0*q = 5*q + 107, -43 = -r - 2*q. Let f = -17 + r. Let c(x) = -x**3 - 6*x**2 - 6*x + 2. Let k be c(-5). Solve -k*j = -3*j + f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of m**9\/1512 + m**8\/315 + m**7\/180 + m**6\/270 - 26*m**3\/3 + 3*m + 1. Let k(g) be the second derivative of v(g). Factor k(z).\nAnswer: 2*z**2*(z + 1)**2*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + 35 = 0, 317*m + 4*w - 26 = 319*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 + r + 1. Suppose 0 = -3*u - 2*d + 2, -5*d = 2*u - 5*u + 37. Let c = u + -1. Suppose -3*j = -5*a + 2*a - 3, c*a + 2*j = -13. What is i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -16*j**4 - 5*j**2 + 5*j + 5. Let h(z) = 8*z**4 + 3*z**2 - 2*z - 2. Let l(b) = -2*d(b) - 5*h(b). What is the third derivative of l(w) wrt w?\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {b: 3, g: 17}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:17 PM and 10:13 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 + (-2)\/(-2))\/((-32)\/(-592))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 289343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/4 - 861\/14. Let u be 2\/7 - i\/(-14). What is the nearest to u in -5, 0.4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 43\/3 of a hour?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1249799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1755 and 7965.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:51 PM and 12:55 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -9*p - 18. Suppose -2*m - 24 = -3*r, 2*m + 2 = -r - 6. Calculate the remainder when u(m) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 70.48211 nanometers?\nAnswer: 0.00000007048211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -22*k + 2. Suppose 5*j - 9 - 1 = 0. Let t be i(j). Let p = t + 93. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-3 + 4)\/((-1)\/(-3)) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*n - 226*n - 4220 = 0 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sskk when four letters picked without replacement from kssksskdsiss.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -351.15 less than -46?\nAnswer: 305.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-32)\/p**(3\/17)*((p\/((p*p**22)\/p))\/p)**(-13\/5) assuming p is positive.\nAnswer: p**(2127\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -783, -791, -805, -825, -851?\n\"Answer: -3*l**2 + l - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/2*2 - 3. Let n(m) be the second derivative of -m**3\/3 - m**2 + 1376*m. Calculate n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 1\/3 (b) -0.3 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 131362?\nAnswer: 2, 7, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 13211020 (base 4) to base 16\nAnswer: 7948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-4*sqrt(132)*-2*4)\/(sqrt(99)*3 - 2*sqrt(77)\/sqrt(7)).\nAnswer: -320*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = s + 4. Solve -7 = -3*r + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -13. Let o = 8 - y. Let n = 3.3 - 3. Which is the second biggest value? (a) o (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 21*x - 98. Let f be (-4 - (0 - -16)) + 6. Let n be r(f). Let q(k) = -k + 1. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 41*n + 84. Let r be b(-2). Solve r*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-k + k - k - k**2 + (-2*k + 2*k - k)*(-k + 0*k - k) + 3*k**2 + k**2 - 2*k**2)*(-342*k - 219*k + 244*k) to u*k**3 + d*k + m + z*k**2 and give z.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3*(-2)\/(-3)*-2. Suppose -4*l = 5*g + 20, -4*g - l + 5 = -2*l. Suppose -4*x - 12 + 0 = g. Is k less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b + 13. Let f be y(7). Let r(l) be the third derivative of 0*l + 0*l**3 + 0 + 3\/20*l**f + 1\/3*l**4 - 2\/5*l**5 - 2*l**2. What is u in r(u) = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j = -4*j - 20. Suppose 10 = -4*u + 7*u + j*m, -u - 6 = -3*m. Solve u*l + 6 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the second derivative of v**5\/5 + v**3\/2 + 87*v**2\/2 + 43*v. What is the derivative of o(k) wrt k?\nAnswer: 12*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 28 = 4*u, -3*j + 0*j = -5*u + 8. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -28.3 + 28.4. Let y = -0.2 + -0.2. Let i be (-2 - (-10)\/6)*-2. Which is the third biggest value? (a) q (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 9 = 2*z. Suppose z*u - 6 = 6*u. What is the smallest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2299*((-13068)\/132)\/1881.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 AM and 10:50 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 391749 + -2?\nAnswer: 391747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*c - 4*a = 23*c + 1, 2*c + a = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -1\/2 (b) 1.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 7327 (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(882) + 2*sqrt(882) - sqrt(54)\/(sqrt(12)\/sqrt(4)))\/(sqrt(54)\/(1*(sqrt(24)\/sqrt(4) + sqrt(6)))).\nAnswer: 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -2*k + 36, -4 - 6 = -k - 2*j. Suppose k*o - 15*o = -4. Solve i - o*i = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8) - (sqrt(72)\/sqrt(9) - sqrt(8)))\/sqrt(4))**2 + 3 + -1 + -1 + sqrt(18)\/sqrt(9).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91 = -5*m + 116. Solve -4 = -4*c + m*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*y - 7568 + 7832. What is the remainder when 276 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -3*r + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + 24*i**2 + 44*i + 11. Let x be p(-22). Solve -3*w = 5*d - x, -4*w + d - 19 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 3*p**2 - 588*p - 15132. Give x(-23).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 0*b = -4*b - 4, b - 7 = 3*i. Let j = 123 + -16. Let v = -102 + j. Sort v, i, 1 in descending order.\nAnswer: v, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -206 (b) -2 (c) -354.6 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 228, -8.274?\nAnswer: -8.274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -9*g. Let n(f) = 441 - 4*f - 8*f + 2*f - 444. Calculate w(n(c)).\nAnswer: 90*c + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 3, t: 4, i: 1, e: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-2958)\/(-12325)*(-4 - 6)*(0 - 20\/(-39))?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (11 + -13)\/(3 - (-177)\/(-57)). Suppose -5*u - w + 17 = 0, -3*u + i = 3*w + 2*w. Let d(o) be the first derivative of 2*o**3\/3 - 2*o**2 + 2. Give d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 194d2 + 5e7?\nAnswer: 19ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of k**4\/24 - k**2 + 4. Let h(q) be the second derivative of u(q). Let f(p) = 4*p. Determine f(h(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor u**2 + 1618*u + 654481.\nAnswer: (u + 809)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105344 is divided by 35107.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28*-1*5\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - 6\/4)*-2. Solve 0 = y*n - 9, 2*n - 6*n + 4 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 98312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cllloldccodlc. Give prob of picking 2 o and 2 c.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -12\/7*y + 4\/7*y**2 + 8\/7.\nAnswer: 4*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 18 + 7 - 6 + 52*f**4 + 16 with respect to f.\nAnswer: 208*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 729 and 5211?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 344118209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 - 4*u - 6. Let q be 4\/26 + (-324)\/78. Calculate m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5224 (base 6) to base 13\nAnswer: -6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 1.957973 to three dps.\nAnswer: 1.958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 + 32. Calculate the greatest common factor of 217 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8261235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-18) + 3*17\/(-90). Let l = -0.11 - -5.11. Let h be 3\/(-9)*-6 + -2. Which is the nearest to h? (a) l (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1, -2210, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that v**2 - 34721*v - 590546 = 0.\nAnswer: -17, 34738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (-19 - 1) + (-410 - -570) - -1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4 + 4)\/(-1 - 0). Suppose c = -4*a + 6 + 14. What is the remainder when 12 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 22630.68.\nAnswer: -11315.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2068 is divided by 997?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 11629774.\nAnswer: 11629771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 477, 540, 531, 414, 153, -288, -945?\n\"Answer: -6*l**3 + 105*l + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5157141 is divided by 1427.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*n**3 - 21*n**3 + 50*n**3.\nAnswer: 78*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 108*a + 3089. Let i be y(-28). Solve -9*f + 11 = i for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*q = 3*q + 6279. Suppose n - 3*c - q = 0, -4*c + 677 + 772 = 3*n. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1176\/84)\/(-1 + 2 + 0). Let b = -5 + 8. Let k = m + b. What is the highest common factor of 119 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 9\/(-6)*24\/9. Let f = b - -7. Let t(m) = -m**3 + 5*m**2 - 3*m + 2. Is t(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 437758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y**2 - 2*y + 1. Let s = -8 + 10. Let t(k) = 8*k - 3*k**2 + 8*k**2 + 6*k**s - 3*k**2 - 5. Calculate 9*q(i) + 2*t(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-400)\/(-30)*(17\/4 + -2). Let w be ((-96)\/j)\/((-8)\/100). Let f = w - -8. What is the remainder when 95 is divided by f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 - -124\/9. What is the closest to 0.4 in -0.01, -0.5, v?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -24232 + 311223?\nAnswer: 242551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 + 16*l**2 - 44*l - 139. Let o be g(-18). Solve -9*y + o*s = -5*y - 25, 3*y - s - 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -23*a - 2783. Let k(f) = -9*f - 1394. Give 5*k(y) - 2*r(y).\nAnswer: y - 1404","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -44*w**5 - 504*w**4 + 2*w**2 - 107226*w wrt w?\nAnswer: -880*w**3 - 6048*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 167597\/75218 - 3\/3419. What is the common denominator of w and (-4)\/9 + 57\/1026?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 178*f**2 + 104*f**2 + 86*f**2)*(3 - 1 - 1).\nAnswer: 12*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 1460512410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2138.04 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7010?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 8*f**3 + 38. What is the thousands digit of v(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6206 and 17.\nAnswer: 105502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -131051150 to the nearest 100000.\nAnswer: -131100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 64278.66 days to seconds.\nAnswer: 5553676224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 93178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 3*v = -0*t - 2, t = -4*v + 10. Suppose g - 30 = 5*a, 0 = -3*g - g + t*a + 30. Solve -g*s - 5 = 0, 3*s + 17 = -5*n - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 88*u**4 - 37*u**4 - 39*u**4 + (0*u - u + 2*u)*(2 - 2 - 4*u**3) + (5*u**4 + 0*u**2 + 2*u**2 - 3*u**4)*(-1 + 5 - 2).\nAnswer: 12*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sas when three letters picked without replacement from {s: 3, a: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = w + 115, -110 - 65 = -3*r - w. Calculate the smallest common multiple of 4 and r.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.44 + 32.56. Let b = s + -38.00331. Round b to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 254.88 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve w = -4*o + 9*o + 7, 0 = 2*o + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 - 2*l**2 + 2*l - 3. Suppose 3*d = 2 + 4. Let p be j(d). Let n = 50 - 199\/4. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35*v**3 + 32*v**3 + 21 + 125*v**2 - 127*v**2 + 10*v**3 to the form y*v**3 + c*v + r*v**2 + i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the second derivative of 0*z**2 + 0*z**3 + 1\/12*z**4 + 0 + 2*z. Let f(j) be the third derivative of j**5\/30 + 2942*j**2. Determine g(f(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 80 (base 9) to base 16\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - 4a?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -2, 9, 0, 2992, -3 in ascending order.\nAnswer: -3, -2, 0, 6, 9, 2992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ynw when three letters picked without replacement from jpnpywy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*p - 13*p - 52. Sort -26, 1\/10, p.\nAnswer: -26, p, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 725 + 8?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 268*v**2 + 11 + 266*v**2 + (-22*v**2 - 584 + 584)*(2 + 1 + 0) + (-2 + 2 + 2*v**2)*(-3 + 1 + 1) to r*v + w + l*v**2 and give l.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 84 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*n**3 + 3*n**3 + 2*n**3 + 7 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 19*h - 7. Let s be o(1). Let g be ((-18)\/21)\/(-2*(-9)\/s). Which is the smallest value? (a) 0.2 (b) -6\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - (-7 - -7 - 3) - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*x - 5*c + 495, -8*c + 11*c + 176 = 5*x. Let n(p) = 11*p**2 + 4*p + 2. Calculate the remainder when x is divided by n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -64 (base 15) to base 2\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -45376 (base 9) to base 8.\nAnswer: -72771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -622.57 + 618. Let o = y + 0.57. Which is the closest to -1? (a) o (b) 3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21.8183868 milliseconds in weeks?\nAnswer: 0.000000036075375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-38)\/((d\/(d\/(d*d**(-16)\/d*d)))\/d) assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 179115375 by -62301.\nAnswer: -2875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 374 + -32. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide ((-282)\/(-12))\/((-10)\/(-4) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(102) - ((sqrt(102) + sqrt(102)*-4)*-5 - sqrt(102)))\/(sqrt(96)\/sqrt(4)).\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + 9 - 173. Let k = x + -15. Solve -5*o + 6 = k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110)*-2*-5)\/sqrt(10) + -2.\nAnswer: -2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 11, 2\/5, 2, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (1*(-33)\/330)\/((-16)\/30)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -2*m + 2. Let u be x(0). Suppose -d + 3*n = u*d - 144, -d - 4*n = -38. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/111135 and 35\/29636.\nAnswer: 444540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the third derivative of -8*m**5 + 303*m**3\/2 + 994*m**2. Differentiate p(k) wrt k.\nAnswer: -960*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-3) - 0)*(-92085)\/(-1754)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-112 + 96 - (1 - 3)) + 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*l + 21*l - l + 11*l**2 - 11*l**2 - l**3.\nAnswer: -l**3 + 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 503.1 + -503. Let i = 45 + -6. Is t >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 29589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3002204 - -2304?\nAnswer: -2444400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of j**6\/30 - 21*j**5\/2 + j**4\/6 - j**3\/3 + 2*j + 30. Find the third derivative of c(m) wrt m.\nAnswer: 24*m - 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 PM and 8:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 22 = 5*p, -2*p + 5 = -p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23547722*x + 21875422.\nAnswer: 23547722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/12)\/(2\/6). Which is the closest to 0? (a) i (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 40648, 58237, 75826, 93415, 111004, 128593?\n\"Answer: 17589*t + 23059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 10480000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2009*g**2*l**2*u - 2*g**2*u**3 - 363*g*l**2*u - g - 2*l**2*u**2 - l**2*u - 5*l*u**3 wrt g.\nAnswer: -4018*l**2*u - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6542891?\nAnswer: 31, 211061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13.12 + -0.12. Let t = 926 + -912.97. Let r = d - t. Round r to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -163362 by 3.\nAnswer: -54454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (87\/9 + -3)*(-24)\/2. Let l = n - -83. Solve 2*r = 5*c + l*r - 17, -5*c + r = -23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 21*b**3 - 41*b**2 - 41*b - 12. Let t(y) = 18*y**3 - 38*y**2 - 41*y - 11. Let g(v) = -5*a(v) + 6*t(v). What is the second derivative of g(c) wrt c?\nAnswer: 18*c - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, -2, 16\/9, -5\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2, -3, -12, -2 in increasing order.\nAnswer: -12, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 70 + 13*n + 63 + 3*n - 139 as h*n + a and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j**5\/9 - 56*j**4\/3 - 2668*j**3\/9 - 1448*j**2 - 1170*j = 0.\nAnswer: -65, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -238, 11, -3\/5, -4 in descending order.\nAnswer: 11, -3\/5, -4, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 - 23*u**2 - 101*u + 3. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (16\/220)\/(28\/126*-18)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2534, 1870, 1210, 554, -98?\n\"Answer: 2*t**2 - 670*t + 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -37*y**2 + 1. Let r(j) = -148*j**2 + j + 5. Calculate -9*i(s) + 2*r(s).\nAnswer: 37*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 2989.044 minutes?\nAnswer: 2.075725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 1987179383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.9453 + -0.9453. Sort 0.09, m, -17.\nAnswer: -17, 0.09, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -91 + -35. Let x be 492\/7 + 6\/d*6. Calculate the greatest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -85 - -85.0000049. Round q to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 130498 to the nearest 1000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 112 + -1234\/11. Let y = 6 - 8. Let w be (-5 - -2)*y\/(-10). What is the closest to -2\/5 in z, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 26 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -1794*i - 17737 = -227*i - 20267 + 71478 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1*2 + (-3 - (-12)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 24 = 0, 2*p - 41*y = -37*y - 20. Solve -p*x + 6 = -6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 204 - 406. Let j = -16 - i. Suppose j = v + v. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12777, -12765, -12739, -12693, -12621, -12517, -12375, -12189?\nAnswer: -11953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 30128980 a multiple of 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -46*s**2. Let l(n) be the third derivative of n**5\/60 - 35*n**2 - 16*n. Give l(g(u)).\nAnswer: 2116*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 216613 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 + 4*l - 1. Let u be z(-5). Suppose 0*t = -j - 4*t + 19, -u*j + 4*t = -16. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 55913 by -195.\nAnswer: -4301\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 3 (c) -80 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 5030791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 v, and 2 j when four letters picked without replacement from jvjjjjvmkjmjvjvjmkjv.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.260096nm to centimeters.\nAnswer: 0.0000001260096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39249 is divided by 1010?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 388.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, n: 1, j: 2, o: 1, s: 2, q: 3}. Give prob of sequence ji.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -6, 2\/273, 1\/5, -0.1, -0.06, 1\/3?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 3*c = 12, -3*c - 16 = -4*n - 8*c. Solve 2*r - 5 = n*q + 1, -2*r = -q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1853 + 1844. Suppose -30*g - 54 = -33*g. Sort 1, v, g, 5.\nAnswer: v, 1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1100\/(-6) - (-12)\/(-18). Let i = -115 - w. Suppose 3*v + 66 + i = 5*u, 0 = -3*u - v + 95. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 88*a**6*p**2 - a**3*p**2 + 5*a**2*p**2 - 2*a**2*p + a*p**2 wrt a?\nAnswer: 10560*a**3*p**2 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 14\/5*q - 12\/5 - 2\/5*q**3 + 0*q**2 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 917206385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36114 is divided by 88?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -895 + 1557. List the prime factors of c.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 54 and 268461.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 213 * 575\nAnswer: 122475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.010431693 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000100549 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of y**3\/2 + 10*y**2 + 7*y. Let b be u(-6). Solve -4*l = -2*h - 4, 0 = h + b*l + 3 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 45*x**3 - 3*x**2 + 190*x + 407148 wrt x?\nAnswer: 135*x**2 - 6*x + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*z = 48*z - 4, -11 - 7 = 4*p + 10*z - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -38130, -76307, -114484, -152661?\n\"Answer: -38177*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x. Let q(k) = 4*k + 4. Let f(y) = -18*y - 21. Let c(o) = 2*f(o) + 11*q(o). What is c(g) + 6*w(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor m**4\/5 - 33*m**3\/5 + 301*m**2\/5 - 507*m\/5 + 238\/5.\nAnswer: (m - 17)*(m - 14)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -16ba - -6793?\nAnswer: 50c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-16)\/(-88))\/((-28)\/(-539)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (14*i + 11 - 11)*(i + 2*i - 4*i) + 6*i**2 - 4*i**2 + 0*i**2 in the form f*i**2 + c + h*i and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 68*d**2 - 40*d - 42. What is the hundreds digit of n(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-3) - 4\/(-30)*-5. Let k(n) = -n**2 + 6*n + 1. Suppose 3*y + 12 = 0, -3*o - 2*y = y - 6. Let x be k(o). Sort u, 3, x.\nAnswer: u, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/x**(-2))*x\/x**5*x)\/(x\/(x**0\/x*x)*x)**(-17) assuming x is positive.\nAnswer: x**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1 - (8 + -1) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -12. Solve a + n = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/36780969 or 0?\nAnswer: 2\/36780969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 + c09b?\nAnswer: c09a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 + 9*q**2 + 9*q + 14. Suppose 4*f + 5*b + 0 = 15, 5*f - 40 = -2*b. What is the remainder when 18 is divided by m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -54841*b + 27428*b + 27154*b + 2 in the form o + d*b and give d.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of v**3\/3 + v**2 + 2*v. Let d(b) = b**3 - 8*b**2 - b - 2. Let u be d(8). Let t = -13 - u. Determine z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/35483 and -73\/1918.\nAnswer: 70966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 269 = 4*m - 193, 0 = -10*m - o - 64 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 1\/4, -0.49, 7.\nAnswer: -0.49, -2\/9, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -110 + 335\/3. Let i = 146\/33 - 13\/3. Let p be ((-1)\/(-1))\/13*2. Which is the closest to 0.1? (a) i (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 2*n + 1. Suppose 4*s - 15 - 6 = -n*l, -3*l + 3 = 0. Solve 0 = -5*g - 5*y - 10, -g = 2*g - s*y - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 1985 = -3*x - 2*m, 2*x - 4*m = 1318. Let p be 570\/24 + 45\/(-60). Calculate the highest common divisor of x and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/5 - (-3 - -1). Let f = y - -3\/10. Suppose -o + 3 - 4 = 0. Are f and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 26 + -19. Let p(u) = -u**2 + u - 1. Let q be p(l). Let s = q - -67. What is the highest common factor of 264 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*t = -0*z - 3*z + 267, 2*z + 134 = -3*t + 161 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 - 9 = 5*j. Suppose 6*d - 12 = 2*u + 2*d, j*d - 30 = 5*u. Is (u\/3 - -2) + 48 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2492 divided by 5?\nAnswer: 2492\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 178023 and 2.8?\nAnswer: 178020.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -22 (b) 3\/7 (c) -0.1 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (48\/9)\/((-8)\/(-12)) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 361513458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 13645 by 13645.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d = 132 - 1326. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/15, -4, 36?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 222085961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 51*q**2 + q - 39. What is the tens digit of c(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -440 + 14?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*w + 10*w - 156 = 0. Let u = -10 - -14. What is the remainder when (-279)\/(-18) - w\/u is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b = -4*b - 16. Suppose 9*m = 4*m. Suppose 2*y + m = 6. Calculate the remainder when b is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 y when three letters picked without replacement from {d: 1, n: 1, y: 2, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -197*y + 68*y = -434 - 1501 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + -8 + 3 + 4 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from araamrmrraamrar. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1812a07 + -3?\nAnswer: -1812a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l. Let t(p) = 89831814*p**2. Determine t(w(x)).\nAnswer: 89831814*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**2 - 60*j - 4601. Give g(-44).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 227315 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 10228 divided by -2557\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:22 PM and 4:42 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -363.01*-168.9\nAnswer: 61312.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**4 - 35000*f**3 + 61214990*f**2 + 122535000*f + 61285005.\nAnswer: 5*(f - 3501)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13620 is divided by 6799?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of -j**3\/2 - j**2\/2 + 7*j + 51. Let b(k) be the first derivative of m(k). Let d(i) = -54*i + 0 - 1 + 53*i. Give b(y) - 5*d(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2979 (base 10) to base 14\nAnswer: 112b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.8 * -0.346518.\nAnswer: 1.6632864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4866480 and 4623156?\nAnswer: 92463120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2 <= 130\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**4 - 14*k**3 - 36*k**2 - 34*k - 11.\nAnswer: -(k + 1)**3*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 898*b + 54*b + 447*b - 48965 = 0 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2118 is divided by (325 - 319)\/(6\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*b = -20*b - 712. List the prime factors of b.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10101 (base 2) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/1722 and -65\/384498.\nAnswer: 2691486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/16592 and 9\/122?\nAnswer: 16592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -9*y + 56. Let l be h(6). Solve 0 = -l*a + 4*z, 16 + 4 = 3*a + 4*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q. Let v(o) = -o**2. Let r(w) = -2*w**2 - 4*w. Let x(y) = 2*r(y) - 6*v(y). Determine x(j(u)).\nAnswer: 2*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -67.6247 to 0 dps.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.04999843 - 0.05. What is b rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -46324 from 94302.\nAnswer: 140626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Is 378 a factor of 594594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**7)\/z)\/(z**(-3)\/z)*z**(1\/5)*z\/(z**(-2\/7)\/z))\/((z**(-1))**(3\/13)\/(z\/z**(-7\/4)*z\/(z*z*z**4)*z*z)) assuming z is positive.\nAnswer: z**(-971\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 7*t - 208. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/28 and -101\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of v**6\/30 + v**5\/2 + 2*v**4 + 11*v**3\/3 + 7*v**2\/2 + 29*v + 70. Let f(d) be the first derivative of z(d). Factor f(y).\nAnswer: (y + 1)**3*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 3*d**2 + 66. Let t(z) be the third derivative of z**4\/6 + 404*z**2. Calculate i(t(f)).\nAnswer: 48*f**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the third derivative of 263*p**4\/12 + p**3\/2 - p**2 - 9*p + 18. Let w(b) = 3*b**2. Calculate w(k(a)).\nAnswer: 830028*a**2 + 9468*a + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 85 = 5*z, 0 = 3*z + z - t + 67. Let x = 53 - z. List the prime factors of x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**2\/4 + 7*l + 429\/4.\nAnswer: -(l - 39)*(l + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of -b**5\/15 + 3*b**4\/2 - 28*b**3\/3 - 231*b**2. Factor n(i).\nAnswer: -4*(i - 7)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c + c - c)*((-3 + c + 3)*(-4571 + 2090 + 1948) - 2*c - c + 2*c).\nAnswer: -2136*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 + (-6)\/(-15) + 2. Suppose 2*y + 25 = 2*v + 3*v, -25 = y - 5*v. Suppose f + y*f = 2. Is r at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the third derivative of 1\/120*v**6 + 0*v + 1\/6*v**4 - 4*v**2 - 1\/3*v**3 + 0 - 1\/30*v**5. Calculate b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000131713194 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -578, -3870, -7164, -10460?\nAnswer: -13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 3871 (b) -2.1 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 2*k**3 - 5*k**2 - 6. Let y(l) = -l**3 + 6*l**2 + 6. Let q(t) = -6*c(t) - 5*y(t). Differentiate q(g) with respect to g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 6\/7*b**3 + 2\/7*b + 8\/7*b**2 - 8\/7*b**4 + 0 - 8\/7*b**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 294236415 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -4 (b) 23\/5 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 68 divided by 3470?\nAnswer: 34\/1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k**2 + 11*k + 9. What is f(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or 229191?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11681 - 6656. List the prime factors of t.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((0 + sqrt(448) + -5)**2 + sqrt(448)) - (5 + (-1*sqrt(448))**2 + -3).\nAnswer: -1396 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -290 (c) -2 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -14, 0.2, 0.1, 3\/4 in increasing order.\nAnswer: -14, 0.1, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 290 - 2005*w**4 + 191 - 287 wrt w.\nAnswer: -8020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 17598*p + 264309. What is r(-15)?\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-95 - -80)\/(-6 - -1). Let c be (-1)\/((-78)\/(-81) + -1). Suppose -4*q - 11 = -c. Solve q*d + i = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 858*4730\nAnswer: 4058340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 22*k - 27. Let w(i) = -2*i + 4. Let d(z) = a(z) + 6*w(z). Let l(g) = -13*g. What is l(d(b))?\nAnswer: -130*b + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n + 2. Suppose -6*a + 15 = 105. Let i be ((-36)\/45)\/((-6)\/a). Calculate r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -63 - -63. Which is greater: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/21865 (b) -1\/6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (0 - 2)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -412*o**2 - 1746*o + 6. Let u(a) = -a**3 - 411*a**2 - 1745*a + 9. Let r(x) = -3*n(x) + 2*u(x). What is the second derivative of r(v) wrt v?\nAnswer: -12*v + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.0583 + 0.5417. Let c = -134505 + 134504.39889. Let z = c + u. What is z rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -2\/13, 2\/11, 186?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 57 and 1672.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes before 2:02 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 32*(-35)\/(20090\/41)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 3*h**3 - 46*h**2 + 3*h - 66. What is the units digit of v(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 214381998 to the power of 1\/2, to the nearest integer?\nAnswer: 14642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**4 + 3228*j**3 + 123835*j**2 + 893382*j - 5761224 = 0. What is j?\nAnswer: -21, 4, 3266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 533579 divided by 142?\nAnswer: 533579\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*u + 34*u - 274 = 160 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 40\/(-1 - 1)*-1. Let k(m) = -1 - 2 + 19*m - u*m. Let p(h) = -h - 4. Calculate 6*k(o) - 5*p(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -28835 and 0.08.\nAnswer: -2306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 48041.96 grams in nanograms?\nAnswer: 48041960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-585)\/52)\/15*28\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -348, -1383, -3106, -5517, -8616, -12403?\nAnswer: -16878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7119 + 7121. Let c(d) = 4*d - 4. Let h be c(2). Solve h*t - t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 930734, 930732, 930730, 930728, 930726, 930724?\n\"Answer: -2*f + 930736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.4 + -0.1. Let q = -3.5 + f. What is the closest to 1\/3 in -1, 3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + 15)\/5 + -2 + 20. Suppose 40 = -v*s + 16*s. Let x(l) = l + 4. Give x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 5.123205 hours?\nAnswer: 18443538000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {t: 1, l: 8, q: 3, m: 1, o: 1, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of -2*y**2 - 2*y + 11\/6*y**3 - 2 - 3\/8*y**4. Suppose h(w) = 0. Calculate w.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -695436 by -173859.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 33721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -11 divided by -16\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003677975198 to five dps.\nAnswer: 0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 496, 2, -8, -1, -16, 120 in decreasing order.\nAnswer: 496, 120, 2, -1, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f + 4*f - 2*f)*(23*f + 23*f - 52*f) + 4*f**2 - 12*f**2 + 6*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-10)\/12 + 1)\/(98424287\/(-1968486) - -50).\nAnswer: 25237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 4*u - 13923, -3*w - 5*u + 9259 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 318680*s = 318648*s - 224 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19 - 5. Let x = 52 + s. Let z = 10892 + -10891. What is the smallest common multiple of z and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1410 is divided by 1381?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18 - 6.7. What is f rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3569101?\nAnswer: 449, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8062 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j**2 - 1 + 1)*(6*j**2 - 3*j**2 - j**2) + 6*j**4 + j**4 - 4*j**2 - 6*j**4.\nAnswer: -3*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 66 - 94. Let t = -3 - h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, c: 4, b: 1, f: 1, d: 1, u: 2}. What is prob of picking 1 b, 1 j, and 1 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 336 and 5082.\nAnswer: 40656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 246 + -147. Calculate the remainder when g is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1409945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4316796 to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/3*(-1 + 2). Let n(b) = 5*b**3 + 56*b**2 + 14*b + 37. Let r be ((-1)\/(8\/(-44)))\/(6\/(-12)). Let c be n(r). Sort j, c, -3 in ascending order.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/17 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 99.2 and -19.\nAnswer: -1884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - g = 5, -20*g = -25*g - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-24)\/16*10\/(-3). Let i(f) = 2*f**2 - f - 1. Let m be i(-1). Let k be 2*11 + m\/1. Solve k = 4*t + w, 3*t - o*w + 2 = -3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13.1357 rounded to 1 dp?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 204831?\nAnswer: 3, 11, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-9 - -2) - (-2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of y**2\/2 - 2. Let g(v) = v**2 - v - 1. Let q(m) = -14*m**2 + 12*m + 12. Let c(k) = 12*g(k) + q(k). Give d(c(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 AM and 8:28 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -81464*p**6*w - 3*p**4*w**2 - 2293*p**2*w**2 + 68*p**2*w - w wrt p.\nAnswer: -9775680*p**3*w - 72*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 54131840 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 4, z: 2, h: 4}. Give prob of sequence vzvh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8301221.86 rounded to the nearest one hundred thousand?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -184.26197 to the nearest integer.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -7*s - 37. Let f(n) = n. What is -2*f(i) - u(i)?\nAnswer: 5*i + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 2*g - 9. Suppose 4*x = -g*y - 11, 4*y = x + y - 16. Let j(d) = 4*d. Let m be j(x). Solve -3*u - n + 9 = 0, -7 = m*u - 3*u - 3*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/4))**(-1\/5)\/((x*x\/((x\/(x*x**(-8)))\/x))\/(x**(2\/13)*x*x)) assuming x is positive.\nAnswer: x**(1847\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20667.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -36035601.8 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 829*l + 182. Let d be ((-152)\/(-24) - 8)*-3. Is c(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v**2 + 137*v = 0.\nAnswer: -137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.71 + 0.3. Let v = 2.11 + j. Which is the second smallest value? (a) v (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - ((-2)\/(-3))\/((-22)\/(-33))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - 2100?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 y when three letters picked without replacement from {z: 1, j: 3, a: 2, y: 4, v: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 - 20*k**2 - 35*k + 81. What is m(-18)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-48)\/(-160)*-5)\/((-57)\/4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -12*c - 8. Let h(g) = -g - 1. Let m be (14\/(-28))\/(2\/4). What is m*t(s) + 8*h(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47, 91, 135, 179?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 173712653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 23581751 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -35, -168, -389, -698, -1095, -1580, -2153?\n\"Answer: -44*g**2 - g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-2)*(4 - -128). Let j be 46\/c - (-1)\/(-3). Let w be 41\/(-18) + 2 - (-316)\/711. Put j, 1, w in ascending order.\nAnswer: w, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*g**5 - 192*g**4 - 7264*g**3 - 31752*g**2 - 16740*g + 55944 = 0. What is g?\nAnswer: -21, -3, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -97 and -16.\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 0.4, -1, 0.0342.\nAnswer: -1, 0.0342, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4878234?\nAnswer: 2, 3, 271013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -103, -4, 99, 4.\nAnswer: -103, -4, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 133\/3468 and -131\/594.\nAnswer: 343332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from ywarh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94*f + 22017 = 3*s - 97*f, -5*f = -s + 7343. Does 104 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -156*h**3 - 177*h**2 + 6*h - 12. Let g(j) = -j**2 - j + 2. Let n(p) = f(p) + 6*g(p). Find the third derivative of n(c) wrt c.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 22248 = -0*r + g, 3*g = -4*r + 22240. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 5*l - 36. Let d be z(6). Let n(k) be the second derivative of -k**3\/3 + k**2\/2 - 12*k. Determine n(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -1 + -14 - -19 - -15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -15. Let y be r*1 - (-1)\/1. Let n(h) = 13*h**2 + 5. Let x(j) = -6*j**2 - 2. What is y*x(z) + 4*n(z)?\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-713)\/69)\/(((-28)\/(-6))\/14).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1292, 2569, 3844, 5117, 6388, 7657?\nAnswer: 8924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 + j - 1. Let b(y) = 4*y**3 - 2 + 55*y - 108*y + 55*y. Determine 2*b(m) - 4*o(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + -10400?\nAnswer: -10352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.36 times 718.827\nAnswer: -258.77772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -210111 (base 3) in base 14?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 3*l**3 - 8*l**2 + 6*l + 7. Let c(n) = n**3. Let r(j) = -2*c(j) + p(j). Let x be r(7). Factor 0 + 4\/5*m**4 - 1\/5*m**3 - 2\/5*m**2 + x*m + 3\/5*m**5.\nAnswer: m**2*(m + 1)**2*(3*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 615\/556?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 715 by -55.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4500032 to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 58961 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*m**4 + 20*m**3 + 14*m - 8 wrt m?\nAnswer: 144*m**2 + 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1\/105, 1\/3, 2\/3, -1\/3, 4 in ascending order.\nAnswer: -5, -1\/3, 1\/105, 1\/3, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -5*i**3 + 10*i - 6. Let j(g) = 9*g**3 - 21*g + 11. Let s(d) = -6*j(d) - 11*y(d). Find the second derivative of s(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1729 is divided by 97?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 3*c = -104 + 39, 4*h - 2*c - 210 = 0. Suppose -h = -2*b + 5*j, -5*j - 26 = -5*b + 84. Suppose 0*f - 3*f = -9. Solve 2*z = -f*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of n**3 + 20*n**2 + 23*n + 1163.\nAnswer: 3*n**2 + 40*n + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20 - ((-35 - (-20 - -17)) + 13)) + 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/10*3*12\/90.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + -140.18.\nAnswer: -127.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -7*w - 9. Let t(p) be the third derivative of 1\/8*p**4 + 0 - 27*p**2 + 0*p + 2\/3*p**3. Let f(v) = -9*t(v) - 4*z(v). Give f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 u when three letters picked without replacement from utuu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5 - 4 + 1)*(2*l + l - l) + 2*l + 3*l - 7*l + 0*l + 0*l + l)*(-2*l**4 + 44*l**4 + 20*l**4).\nAnswer: 186*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -30*j + 54. What is the remainder when n(-10) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -10*t + 280. Suppose -5*s + 8 = -2, -4*s = -4*c + t. What is the smallest common multiple of c and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 + 12*o**2 - 3*o - 10. What is the units digit of p(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.8288 plus 3367592?\nAnswer: 3367587.1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of -a**7\/56 + a**6\/10 - 3*a**5\/16 + a**4\/8 - 11*a. Suppose q(t) = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -661, -2658, -5987, -10648, -16641, -23966?\nAnswer: -32623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -10*m**2 - 9 + 0*m**2 - 2*m**2 - 8. Let j(w) = -w**2. Calculate q(j(g)).\nAnswer: -12*g**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ncu. What is prob of sequence cn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -253*z + 2332. Determine d(7).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -67 + -23?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22 - -20. What is the lowest common multiple of 2 and 4 + q - (0 + -20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 32*x + 233. Let c be u(21). Factor 1\/2*k**2 - c + 0*k.\nAnswer: (k - 2)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/5 in 2\/5, -6, 4, 9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 709870.61 rounded to the nearest 100?\nAnswer: 709900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.53 + -0.13. Let r = -0.8 + c. Let k = r - 1. What is the third smallest value in -1\/8, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140*x**2 - 38*x**2 + 13*x + 21*x**2 - 11*x.\nAnswer: -157*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 2:16 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (8 - 8 - 6*s)*(11 - 11 + 6*s) as q*s**2 + r + i*s and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 5*r - 5*t, -3*r + t = 0. Suppose r = -3*b - b - 5396. Let d = -882 - b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -11926356 by 10308.\nAnswer: -1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 18753*r - 468825. What is a(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**7\/840 + n**6\/120 - n**5\/8 - 25*n**4\/24 + 125*n**3\/24 - 681*n**2. Factor c(k).\nAnswer: (k - 5)*(k - 1)*(k + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4360*n - 4539*n = -358 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h + 1. Let r be s(-5). Let f = r + -4. Let p(d) be the first derivative of d**3 + 1. What is p(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126.91 rounded to zero dps?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 366253104 divided by -13080468?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 881, 656, 295, -196, -811?\n\"Answer: j**3 - 74*j**2 - 10*j + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 9719 * 88.\nAnswer: 855272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -332.3, 5, 1\/2, 0.2, -3\/7, -1\/1517?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -e4 + 5?\nAnswer: -de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -111 - 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 3 - 4*w + 3*w**2 - w**2 + 7*w. Let n(g) = -g**2 + 6*g + 9. Let a be n(7). Let q(j) = j**2 + 2 + 2*j + 4*j**2 - 4*j**a. Calculate -3*q(o) + 2*v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(73\/(-6) - (-5)\/(-15)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 24*m + 19*m - 82 = 0, -2*o + 89 = 5*m. Calculate the highest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 93636, 93635, 93634?\n\"Answer: -n + 93637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (9 - 0)*2\/6. Solve 3*o - d = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 0 + (-10 - -16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 0*c = 2. Suppose -z + c = 4. Let o be (-4)\/2 - 16\/z. Solve -6 = -a - 3*a - 5*w, -3*w = o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1394 + -1404. Let i(b) be the third derivative of -b**2 + 0 + 0*b - 1\/24*b**4 + 1\/3*b**3. Give i(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (20 - 19 - (4 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (972\/27)\/144 + -1 + 1. Sort 183, y, 1, 0.3.\nAnswer: y, 0.3, 1, 183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/(-1)*(-21959)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 178753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53 + 71 = 2*k. Let m = 113 - k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -15*j**2 + 60*j - 48. What is h(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 28325\/(-770)*(-2)\/20 and 25\/3012.\nAnswer: 21084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/54 - 317286\/972. Are -327 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/(-3) - 55*24\/(-72). Suppose -3 - 1 = -h. Put z, 1, h in ascending order.\nAnswer: 1, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwttfftbfff. What is prob of picking 3 f and 1 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*q**2 + 1 + 3*q + 5781*q**3 - 5779*q**3 + 1 + 8*q**2 to the form l + z*q**2 + u*q + d*q**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 79940 and 81970.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (1 + -1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w + 9. Let b be c(-13). Let n(h) = 5 - 2*h + h + 0*h - h**2. Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3152126 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/2 - 1\/4*b**2 - 1\/8*b**3 + 7\/8*b = 0 for b.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/3*a**3 + 8*a**2 + 128\/3 - 32*a.\nAnswer: -2*(a - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*f**3 + 24240877*f**2 - 461988*f - 80 wrt f.\nAnswer: 90*f + 48481754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -85*a**2 + 335*a + 20.\nAnswer: -5*(a - 4)*(17*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112 - 2100220122?\nAnswer: -2100220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(1\/2))**27)**27 assuming o is positive.\nAnswer: o**(729\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 105894084 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 3*f = 0. Suppose 0 = -3*i + 9, f*p + p + 2*i - 9 = 0. Let l be (-4 - -2) + (2 - -3). Solve 4*t + 13 = l*s, 4*t - t = -p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2870464.\nAnswer: 2, 44851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 14 - -5) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 4795110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 5*f + 239 = 0, -3*d - 3*f = -213 + 30. Let h(q) = -q**3 + 12*q**2 + 17*q - 30. Let b be h(13). What is the greatest common divisor of d and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 20 (b) 2 (c) 1.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3a (base 13) in base 5?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 256.9864082 + 0.0312918. Let s = -0.29 - -257.29. Let d = s - k. Round d to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 17.87 - -1.43. Round f to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -2*x**5\/9 - 128*x**4\/9 - 2996*x**3\/9 - 29816*x**2\/9 - 95498*x\/9 + 128440\/9 = 0.\nAnswer: -20, -19, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 25, 120, 273, 478, 729, 1020?\n\"Answer: -b**3 + 35*b**2 - 3*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the third derivative of -g**5\/60 + 49*g**3\/6 + 13*g**2 - 21*g. Let t(u) = -17*u. Determine t(n(s)).\nAnswer: 17*s**2 - 833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(11) + -5 + 1*sqrt(11) - sqrt(11)) + -2 + 1*sqrt(891) + -5)*6)**2.\nAnswer: -8640*sqrt(11) + 44784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*57.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6501, -6503, -6505, -6507, -6509?\nAnswer: -6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -25*x - 95. Suppose 4*g + g + 30 = b, -2*b = -10. Let i be c(g). Calculate the highest common factor of 18 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(156) + sqrt(156) + -6*(sqrt(156) + 1*sqrt(156)) + sqrt(156))\/(sqrt(432) + sqrt(432)*-4).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 227534.\nAnswer: 2, 29, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 231 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2020, 2348 in descending order.\nAnswer: 2348, 4, -2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1353 and 10263?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*c + 15*c + 26*c + 90 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/(h*h*h**19)*h\/(h\/(h\/((h*h**(1\/10)*h)\/h))*h) assuming h is positive.\nAnswer: h**(-211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7915477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 18576*b + 3969453 = 53109*b - 18523 + 431077 for b.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/15)*h*h\/(h\/(h\/(h**(-2\/7)*h))))\/(h*h*h**0)**(-45))\/((h\/h**(-4))\/h**7*(h**0*h)\/((h\/(h*(h**(-2\/13)\/h)\/h)*h)\/h)) assuming h is positive.\nAnswer: h**(128728\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 1:09 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 42193905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 463 and 35811661.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.23 + -0.93. Let n = -0.6 - -2.6. Put v, n, -3 in ascending order.\nAnswer: -3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1437 + -24?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - ((-6 + -5 + 3 - -15) + -38)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-8*(-3818)\/(-115))\/(4\/(-10)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4470 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4015 is divided by 504?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*g - 3*u - 45, -3*g = 3*u - 361 + 382 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -10 + 4 + 5 - 10*p + 0. Suppose -5*w + 4 = 3*b, -3*w = -b + 5*b + 2. What is the tens digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 - 22. Sort -5, o, -3 in increasing order.\nAnswer: -5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of -7*l**6\/240 + 3*l**5\/40 - 5*l**4\/12 + 23*l**2. Let n(f) be the second derivative of d(f). List the prime factors of n(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**3 - l**2 - 143*l + 65. Calculate i(12).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + 3*i - 5*i)*(-2 + 3 + 1)*(0 + 5 - 6)*(42*i - 34*i - 25*i).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 3 + 8)*(-16*w - 14 + 14) to the form q*w + m and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73456 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 12 = -4*n, -5*h - 2*n + 20 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000559194156 rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 104*i + 11955 - 102*i - 1923.\nAnswer: 2*i + 10032","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 15883800 to the nearest one hundred thousand.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 5617410, 5617406, 5617398, 5617386, 5617370?\n\"Answer: -2*y**2 + 2*y + 5617410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.053 + -0.353. Let l be ((-4)\/(-21))\/(28\/(-42)). Which is the nearest to v? (a) -2 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/14*728\/(-42) - 4. Which is the nearest to 1\/15? (a) -0.17 (b) -2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 - 23. What is the least common multiple of (-5)\/10 + y\/(-4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7145\/1208 - 6\/151. Let b = -1333\/68 - -23\/17. Find the common denominator of b and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -540*q + 535*q - 5, -4*q = -2*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 + 15*u - 54. Let c be j(6). Solve 3*a - 12 = c, -3*o - 4*a + 30 = 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 165 and 45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -210.583 and -333.\nAnswer: 70124.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 50183113\/(-346) + 3\/6*-2. Let d = g + 145039. Let o = d - -25351\/9342. Calculate the common denominator of o and -49\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l - 1. Let n(p) be the second derivative of -6*p**2 - 2*p**3 + 0 - 1\/6*p**4 + 2*p. What is 12*m(i) - n(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 350 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 409 (b) 3\/2 (c) -0.1 (d) 3\/19 (e) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00246179 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 86913.5 rounded to the nearest 100?\nAnswer: 86900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1253250 and 16200.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 54275, 108493, 162713, 216935, 271159?\nAnswer: 325385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1018661681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3414 + 15*m**2 - 1593*m**3 - 15*m**2 + 3414.\nAnswer: -1593*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3.327027 centuries in decades?\nAnswer: 33.27027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**2 + 11*i + 19. Let y be k(-2). Suppose 4*g + 15 - 39 = 0. Suppose -q - 3*j = g, -j - 34 = 3*q - 0*q. Sort 4, y, q.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and 12\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*c + 5*c**2 + 5*c + (-2*c**2 + 4*c**2 - 4*c**2)*(3 - 4 + 0) + (c + 6*c - 3*c)*(0 - 5*c + 0).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -24*r. Let m = -580 + 638. Let f(c) = -74*c + 137*c - m*c. Calculate d(f(l)).\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = 5*r + 19, -4*k + 8*r + 24 = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes before 2:12 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-6 + 86)\/8 + (8 - -19) and 925.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -427901 (base 11) in base 10?\nAnswer: -683893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -41085, -82101, -123125, -164157?\nAnswer: -205197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -111 times -0.02\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0066556 to 5 dps.\nAnswer: 0.00666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -66*(-82)\/1353*9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(110) - (-1*sqrt(110) - sqrt(110))*-1)\/((sqrt(90)*-1)\/sqrt(9)).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*p + 4*b + 4 = -5*p, -3*b = -6. Let c be -1 + (-6)\/p*94\/(-27). Which is bigger: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2179784 divided by 20564?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from xxvvvxzckvczvv.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 + 4*t**2 - 2*t + 5. Let p be g(4). Suppose 5*c + 0*c = -50. List the prime factors of c\/4*(1 + p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3487\/4 or 872?\nAnswer: 3487\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/1280 and 9\/1914464.\nAnswer: 76578560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25003 is divided by 3124.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -413 - 50 = 720*r + 257 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4 - 635*o**2 + 646*o**2 - 3 wrt o?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -167*b**5 + 226*b**2 - 915*b**5 - 74*b**2 + 117*b**2 + 526*b**2 wrt b.\nAnswer: -64920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -481, -3595, -12047, -28507, -55645, -96131, -152635, -227827?\nAnswer: -324377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19004185\/8130906 - -55\/12357. Let m = o - -19\/47. Find the common denominator of (-3)\/12 + (-1015)\/(-180) and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 845661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 4:05 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010100110 - -1000?\nAnswer: -1010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -4*w - 28. Let y be o(-12). Let k = -17 + y. Suppose -f + 2*h = -13, 0 = -4*h + k + 1. What is the remainder when 73 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -15779*c**3*v + 3*c**3 - 26*c**2*w - 10827*c**2 + 6317*c*v*w - c*w - 2*w - 1 wrt v.\nAnswer: -15779*c**3 + 6317*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -4\/15*w**2 - 14\/15*w - 8\/15 + 2\/15*w**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 12:47 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 41, 17, -5, -25, -43, -59?\n\"Answer: n**2 - 27*n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vtvtvv. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b + b - 7 - 4*b + (3 - 1 - 4)*(0 + 0 - 2*b) + 0*b - 2*b + b.\nAnswer: 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 103 = -o - 116, o - w + 9 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 62 = -4*i. Suppose o + 18*n - 15*n - 6 = 0, -4*o + 44 = 2*n. What is the greatest common factor of i and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.4 + -1.6. Let l = 0 + s. Which is the closest to -1\/4? (a) -1 (b) 1\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2545\/3 + -849. Suppose -2*h - h = 3. What is the closest to 0 in -0.5, h, 3, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + -24951d?\nAnswer: -249522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -40 + -3 + -131 + 265 + -144?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*m - 21 = 17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/(-14) - 8\/(-126). Suppose 3*d - 12 = -4*w, 0 = -d + w + 2 - 5. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -12*j**2 - 12*j - 4. Calculate l(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7501219177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 11 = -4*t, s - 2 = 5*s + 5*t. Let r be -3 + (0 + s - -9). Solve -5*w + 4*k = 20 + 13, -r*w - 25 = -5*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o*o\/(o*o**(6\/7)*o)))**(-3\/35) assuming o is positive.\nAnswer: o**(-18\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 14*i**2 + 15*i + 27. Let v be u(-13). Let b be (-4)\/(v - -3) - (-2 + 1). Let d = 3 - 3.4. What is the nearest to b in -1\/3, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-28)\/(-8))\/(5327\/22069).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18101 is divided by 2188.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2674 + 2824. Suppose -a = -2 - 58. What is the highest common divisor of a and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 - 4 - 2\/2. Let z = 6 + u. Which is the second smallest value? (a) z (b) 0.3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -11*t**2 - t. Let x be z(1). Let a = -2 - x. What is the greatest common factor of a and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = g + 12. Suppose 0 = 3*c + 2 + g. Let d be 3\/c*(-208)\/12. Calculate the highest common factor of 39 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 7*c + 154. Let t(x) = -3*x - 77. Determine 6*s(w) + 13*t(w).\nAnswer: 3*w - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 763*w**2 + 7*w. Let m be i(-5). Suppose 9*u - m - 21343 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*n + 17*n = -9. Let k be 1 + 2 + (n - 2) - -2. Suppose 48 = -0*b + 3*b. Solve k = 2*j + 2*j - b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86.88659 nanoseconds in seconds?\nAnswer: 0.00000008688659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 0 + 1)*(2 + 0 + 0) - 82 + 18 - 6)*((1 - 1 - 2*h)*(-1 + 4 - 2) + 1 + 4 - 4 - h).\nAnswer: 222*h - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 0*v = -20. Let d(f) = f**3 - 28*f**2 + 169*f + 21. Let h be d(9). Let a be -15*-1*(1 - 0). Solve 3 = t - 5*u + 2*u, h*u = -v*t + a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + 4 + sqrt(1152) + sqrt(1152) + sqrt(1152))*2)**2 + 4.\nAnswer: 576*sqrt(2) + 41480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 143 (base 5) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -157 = -3*a - 148. Does 6 divide (a + 3 + -8)*(-82)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*m**2 + 64425*m - 16105 = 0.\nAnswer: 1\/4, 3221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**3*n*((n*n*((n\/n**(-1\/3))\/n)\/n)\/n)\/n*n)**(1\/36))**(-39))**(2\/115) assuming n is positive.\nAnswer: n**(-169\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or -797?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from vuuhuumhuhbhbhhuvuuh.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 - 3*k**2 + 11*k + 9. Let f be i(-7). Let u(q) = -131*q**2 + 258*q**2 - f*q**2. Let c(s) = -35*s**2. Give u(c(l)).\nAnswer: -1225*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1044223403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 56 + -22. Let c = 49 - b. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 3 = -6*i. Let q(y) = -8*y. What is the units digit of q(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1527 (b) 0.119 (c) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 14) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39666.\nAnswer: 2, 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -588*-12\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 51507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (61\/(-305))\/((-6)\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d - 5*d + 4*d)*(3*d - 3*d + 2*d) + 5*d**2 - 6*d**2 - 4*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1791.6 - 1791.8. Which is smaller: 10263 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bmmb when four letters picked without replacement from {b: 2, a: 4, m: 4, r: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6145 and 590.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -r + 3*t, 5*r - 5*t - 4 = 126. Suppose -39 = -2*b - r. Suppose -b*n + d = -0*d + 17, 0 = 3*d + 9. Let a(g) = g**3 + 5*g**2 + 5*g. What is a(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 172781 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9174 and 3642050478?\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 141802.0000102963 + -141802. Round f to seven dps.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - 6ab47?\nAnswer: -6ab44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 5*i**3 - 5*i**2 - 9*i. Let v(j) be the third derivative of -j**6\/60 + j**5\/30 + j**4\/6 + 15*j**2. What is -6*b(o) - 14*v(o)?\nAnswer: -2*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g - g + 5*g + 0*g - 2*g + 3*g + (1 - 1 + 2)*(3*g + 0*g - g) - g + 0*g + 0*g - g - 2*g + g + 2*g - 4*g + g)*(1156 - g - 5919 + 2912).\nAnswer: -2*g**2 - 3702*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.12 - 0.12. Let r = -0.54 - h. Let k be -1 + 0 + (-11)\/(-9). Put 5, r, k in increasing order.\nAnswer: r, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-24)\/20*-5 - 2. Let r be (0\/(-5))\/(-13 + 11). Solve -4*d + 3*g = -m, 5*d + r*g + 2*g = 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 - ((-2)\/30 - (-23254)\/2310)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 2*n + 36 = 0. Let y(r) be the first derivative of -r**4\/4 + 4*r**3\/3 + 2*r**2 + 6*r + 3. Calculate the smallest common multiple of y(5) and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -203*x + 823437 = -194*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71*w**2 + 133*w**2 - 18*w**2 + 226*w**2.\nAnswer: 270*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(832))**2 + 4 + -1 + (-1*sqrt(91))\/sqrt(7).\nAnswer: -sqrt(13) + 3331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -26692, -26646, -26600, -26554, -26508?\n\"Answer: 46*l - 26738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(15\/7)\/q*q*(q*q**(7\/3)*q)\/q)**(-14) assuming q is positive.\nAnswer: q**(-272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -48 - -48.174. Let r = l - 0.16. Let t = r + -0.01377. Round t to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 2*m = 6, f = 3*f - m + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3114 and 15964.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28 and 69475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -44*g - 4655. Calculate x(-107).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from tdlolyyttyohyyhhoy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 8.6 (b) 1.72 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 139095.\nAnswer: 3, 5, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4244 (b) -3 (c) 1\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j - 103 + 315. Let a = 30 + j. Let h = -15 - a. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12\/271 or -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -42 times 9?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*k - 10171 = -2611. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/20 and (-2 - (-39)\/20)*-41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 5*z = 0. Suppose m = 3*a - m - 20, -5*m - 5 = z. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2022 and 27297?\nAnswer: 54594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 244*t + 267*t - 756*t + 378 + 243*t as x*t + w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91 is divided by (46\/8)\/((-3)\/(-24))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times 89023?\nAnswer: -8902.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 60\/12 + (0 - 15\/3). Suppose w = 5*b - 3609 - 2371. What are the prime factors of b?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 442800\/13 + -34038. Let r = f + -997\/65. What is the common denominator of 101\/2 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(114)\/(5*2*sqrt(6)) - -2*(sqrt(19) + sqrt(475))**2*-3.\nAnswer: -4104 + sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.09 * -38.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -338691600207 less than 0.04?\nAnswer: 338691600207.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 79.994 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -28*a - 5*w, -4*a + 42*w = 46*w - 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-105*h + 81*h - 368*h)*(6*h**4 - 3*h**4 - 2*h**4).\nAnswer: -392*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p + 4. Let o be m(6). Find the common denominator of o\/(-10) + (-37)\/(-20) and (-21 - -15)\/(40\/74).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*n + 3 - 1 + 54*n.\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.04, 2, 423, -1\/2, -3, -47?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -2*p**2 + 44*p - 1. Suppose -6*o = -10*o + 72. Is 11 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + 14. Let u be (-7)\/(-3) - h\/90. Are u and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*f - 24 = -31*f + 2*j, j = 3*f - 47. Determine h, given that 3*h**4 - 3*h**4 - 56*h - 155 + h**4 - 41 + 45*h**2 + f*h**3 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 297\/15 - 1\/(-5). Let z = j + 13. Suppose -3*w - z = -6*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (58\/(-21) - 2\/(-21))*(12 + -36 - -26)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1233 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2*39\/8112*-8\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*g**2\/7 - 12140*g\/7 - 12136\/7.\nAnswer: -4*(g + 1)*(g + 3034)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 2996100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*s**3*t*x + 416*s**3 + 5*s**2*x - 165534*s*t*x + 9*x wrt t.\nAnswer: -2*s**3*x - 165534*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 255750323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (-5 + -1 + 5 + (-28 - -31))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 126 and -10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (5 - 2 - 2) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 378 and 68229.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 + 24*r - 41. Let x be t(22). Let n(q) = q**2 + q - 6*q + 1 + x. Determine n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a + 2*a**4 - 2*a + a**3 + a**4 - a**3 - 1 - a**4 + 1 + (a**3 - a**4 - a**3)*(-4 - 4 + 6) - 5*a**4 + a**4 + 3*a**4 + 13*a**2 - 13*a**2 - 15*a**4.\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -435 (base 6) to base 5\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuusrrsrss. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*s**2 - 50*s**2 - 99*s**2.\nAnswer: -130*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29, -61, -93, -125, -157, -189?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((-72)\/(-3)) - 1794\/2576.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1376950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -22 - -36. Let o = 15 + h. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 1 - 2916*g - 588*g + 599*g - 1019*g in the form m + a*g and give a.\nAnswer: -3924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 + 12.87. Let i = 0.00818 - -0.56182. Let v = h - i. Which is the nearest to 2\/3? (a) v (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 65 + -60. Find the third derivative of -2*g**4 + 4*g**4 - 15*g**2 - 26*g**4 - m*g**4 wrt g.\nAnswer: -696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = -4*g - s - 4, g - 4*s - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - h + 2. Let s(o) = 7*o**3 + o**2 - 1. Let r be s(-1). Let c = h - r. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13899700 is divided by 1406.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -62154, -123125, -184094, -245061, -306026, -366989?\n\"Answer: y**2 - 60974*y - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.108*0.6\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 35, 72, 123, 188?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*k + 49*k + 1 + 0 - 144*k + 49*k.\nAnswer: -9*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 7 = -t, -2*g + 11 = -5*t - 0*t. Let w(v) = -v**3 + 13*v**2 - 13*v + 11. Let s be w(12). Sort s, 2, t in ascending order.\nAnswer: t, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*j + 2*j. Suppose n = -j*n. Solve n = 2*x + 3 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - s = 48. Let m(w) = -330*w - 2482. What is the remainder when m(-8) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tuuuuvuuuuuuuuuuuuu. What is prob of picking 1 v and 1 u?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -111 or -221\/2?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/28? (a) -3\/8 (b) 12 (c) -0.07 (d) 5 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**2 - 7*a - 7. Let z be s(-4). Let p = z - -15. Suppose 0 = 5*d + 15, -f + 13 - 3 = p*d. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - 3. What is the biggest value in -1\/9, -5, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-60)\/18*(-42)\/35. Solve q*d = 8 + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102 a factor of 136484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -h - 9, 3*h = 11*z - 6*z + 24. Let y be (h\/(-24))\/(123\/18 - 7). What is the closest to -1\/3 in -0.4, y, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 226320 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 66416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -42*d + 49*d - 11487. What are the prime factors of d?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 + 11*r**2 - 15*r + 9. What is the tens digit of z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.040547*-0.0956.\nAnswer: -0.0038762932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o + 13*o + 30546 = 4*f, -24443 = 4*o + 3*f. What is o rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 674678 (base 9) in base 15?\nAnswer: 7e92e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -80 - -80. Suppose 0 = 5*f - 54 + 4. Calculate the remainder when 174\/2 - ((0 - b) + 0) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 7, a: 1}. Give prob of sequence aqqq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -339637*h**2 - 237155?\nAnswer: -679274*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*2*sqrt(1872) - ((0 + sqrt(1872) + sqrt(1872) + 2)**2 - sqrt(1872))) + 2)*-1*5.\nAnswer: 1020*sqrt(13) + 37450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 361, 608, 1011, 1570, 2285, 3156, 4183?\nAnswer: 5366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 306 divided by -17\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -271 - -270.999999441. Round v to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(1\/3))**(-43))**(13\/2))**42 assuming s is positive.\nAnswer: s**(-3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-31 - 4) + (-1 - -25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4, -4, -21, 9, 2 in increasing order.\nAnswer: -21, -4, 1, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-30 - -36) + (0 - (-5 + 3 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 17 = -2*t. What is the remainder when 28 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1938*x**4 - 46*x**2 - 179*x - 913676667?\nAnswer: 7752*x**3 - 92*x - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 5*z**3 - 5*z + 3. Let w(q) = 9*q**3 - 11*q + 5. What is -5*j(l) + 3*w(l)?\nAnswer: 2*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49649 is divided by 479?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (g - 5*g + 3*g)*(-g + 5 - 5) + 5*g**2 - g**2 - 2*g**2 + 3*g**2 - g**2 - g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -161585670+0.01\nAnswer: -161585669.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 20946.27154 and -0.19954?\nAnswer: 20946.47108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36678834?\nAnswer: 2, 3, 2037713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, -27, -94, 0, -23 in ascending order.\nAnswer: -94, -27, -23, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*r + 1476 = -1548. What is the remainder when r is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1470 and 2710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/17711 and -107\/1451590?\nAnswer: 288866410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 514*m**2 + 67 + m**4 + 125904*m - 125904*m - 23*m**2 with respect to m.\nAnswer: 4*m**3 + 982*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -65 - -165. Suppose 20 = 5*a - 5. Suppose -4*v - 125 = -a*l - 7*v, -5*l + 4*v = -125. Calculate the greatest common factor of w and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49219578.\nAnswer: 2, 3, 2734421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*a + 2*a + 3*w, 5 = -5*a - 5*w. Suppose -4*x - 24 = -o, 5*o - 22 = x + 22. Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 3, 30, -4, 13, 1, 21 in descending order.\nAnswer: 30, 21, 13, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -18027 - -126193\/7. Put -2, v, 97, -2\/5 in decreasing order.\nAnswer: 97, v, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/26 in -4, 29\/7, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21 + 13. Let d be (-3)\/12 - 34\/o. Is d at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/6 - 17152\/(-6). Suppose -5*l + 3*c = 23210, -23175 = 5*l - 3*c + 7*c. Let h = t + l. Round h to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the third derivative of -b**8\/1512 + b**6\/135 + 1379*b**2. Let w(p) = 0. What is p?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -48, -98, -174, -288, -452, -678, -978?\n\"Answer: -2*s**3 - s**2 - 33*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that j**4\/2 + 45*j**3\/2 + 214*j**2 - 960*j - 1152 = 0.\nAnswer: -24, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be (15\/(-5))\/(3\/(-3)). Suppose 0 = g - 0*g - t. Suppose 0 = -g*f - f + 884. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 59 - 37. What is the remainder when 87 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 480307*a**5 + 1505726*a wrt a?\nAnswer: 9606140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w\/(w**(-5)\/w*w)*w)*w**(2\/5))\/((w**(2\/11)\/w*w)\/w*(w\/(w*w*w*w\/(w*w**(-7\/4))))\/w*w))**(-2\/13) assuming w is positive.\nAnswer: w**(447\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/5))**(4\/27)*((y\/(y*(y\/(y\/(y*y**4)))\/y*y))\/y)\/(y**(2\/13)\/y*y) assuming y is positive.\nAnswer: y**(-10696\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - 0. Let l(v) = -42*v**3 - v**2 - v. Suppose 26 = 2*f - 3*z, f + 2*z - 52 + 18 = 0. Calculate the remainder when l(y) is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -477, -883, -1265, -1617, -1933?\n\"Answer: h**3 + 6*h**2 - 431*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*x + 40 - 90 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -202*h = -65*h + 137. What is the nearest to 0 in -4.6, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = 2*w + 120 - 87, -3*w = 5*n + 37 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2759614 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -485900 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -4. Let o = -99 - -102. Let j(t) = -1 - 119*t**2 - o + 120*t**2. Determine j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 3*u**2 + 9*u + 23. Let z be 1\/(-5)*-4*-10. Let i be p(z). Suppose -148*q + i*q + 145 = 0. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, q: 1, v: 2, d: 3}. Give prob of picking 1 q and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1.579*13\nAnswer: -20.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 2*i - 14, -7*i + 3*i - 8 = 2*m. Let b be (-4)\/m + (-25)\/15. Let x be -2*(-2 + (-83)\/(-41)). Is b at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7475\/7 bigger than 1067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*5*(sqrt(52) + 0) - ((sqrt(143) - -2*sqrt(143))*4)\/(sqrt(704) - (sqrt(704) - sqrt(704)*-2) - sqrt(704)).\nAnswer: -39*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + 1 - (-129 + 129)) + 3 + 85 + -6?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + -5. Let j be 2 + (-12 - (-2 - m)). Let y = 28 + j. What is the lowest common multiple of y and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 - -1)\/(6 + -7). Suppose 6*q + 328 = 10. Let f = 50 + q. Sort y, -2, f.\nAnswer: f, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226543469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -526 - -825. Calculate the remainder when s is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 506251 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -27.13537 + -1\nAnswer: -28.13537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 631977253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1244*n + 8 - 11 + 458*n - 1 + 5.\nAnswer: 1702*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20? (a) 0.2 (b) -0.67 (c) 3\/5 (d) 1\/3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -1780*v**3 - 148*v**2 + 13*v + 29. Let w(x) = 1780*x**3 + 186*x**2 - 14*x - 30. Let n(r) = -4*w(r) - 5*y(r). Find the third derivative of n(d) wrt d.\nAnswer: 10680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**4\/f**(-2\/3))\/(f\/(((f**(-1\/2)\/f*f)\/f)\/f*f))**(-4))\/(f*(f**(1\/3)*f)\/f*f*f**(-3\/4))**(4\/37) assuming f is positive.\nAnswer: f**(1609\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**2 - 19*n + 92. What is the remainder when z(14) is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85\/34*((-15)\/50)\/((-1)\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/15272136 and -43\/1851168.\nAnswer: 61088544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -17*i**3 + 1104*i**2 + 61*i + 264. Give x(65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.5, -4, 6, -400, -0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 448 * -2113\nAnswer: -946624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3479 is divided by 280?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (173739\/132 - -1)\/(162\/180). Let j = -1464 + m. What is the common denominator of -163\/60 and j?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-5 - -2) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -684*o + 5*c = -683*o - 3, -3 = -4*o + 9*c - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -302 - 322?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a**2 - 134084655*a + 268169290 = 0. What is a?\nAnswer: 2, 26816929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 96*h**2 + 293*h + 7. What is o(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -32*o**5\/3 - 14992*o**4\/3 - 605926*o**3 - 14323498*o**2\/3 + 7503520*o\/3 - 317400 = 0.\nAnswer: -230, -9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2541 is divided by 1186.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -278 - -278.000000053. What is z rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.026 - 62.026. Let j = 57 + p. Which is the third smallest value? (a) -1 (b) -0.03 (c) 2\/9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -3*q - 2. Let c be (-2 + 0)*(-2 + 1). Let j(o) = -4 - 4*o - c + 5 - 1. Give 5*g(s) - 4*j(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 585389?\nAnswer: 7, 241, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of 13*p**8\/1680 - 5*p**4\/12 - 2*p**3 - 1. Let r(o) be the third derivative of q(o). Differentiate r(h) wrt h.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.016162 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:29 AM and 4:59 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 350573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kky when three letters picked without replacement from {y: 6, x: 4, k: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 18\/(-4)*(27 + (-3757642)\/42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vww when three letters picked without replacement from vvvvvwvwvwwwwvwv?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -0*x - x. Let d = -6 - -8. Suppose 0 = d*y - 3*u - 72, -5*y - x*u + 34 = -125. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of -4*b**3\/3 - 2*b. Let k be (56\/24)\/((-2)\/(-564)) + 1. Let g(r) = -659*r - r**2 + k*r. Give l(g(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 12410231 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 176 a factor of 5280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8345 + -8341. Which is the closest to -4? (a) h (b) -1 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/((5\/6)\/(-5)). Suppose -49 = -5*t + n. Let c = t + -4. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 8:57 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-8)\/88 - (135\/(-66))\/(8\/16). Solve 0*x - 11 = -x + 3*n, 0 = -g*x + n + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -19 - -16. Let n = 8 - 5. Let j = n + d. Solve j + 1 = l, 24 = 5*p - l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (666 - 666 - 384*y**2 - 200*y**2)*(0*y**2 + 3*y**2 - 4*y**2) in the form m*y**2 + g*y + n + h*y**4 + u*y**3 and give h.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1725*h - 6552*h + 3106*h + 1726*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7.6 and -436.84?\nAnswer: -3319.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 115066267432 + 4*x - 115066267432.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -4ad (base 16) to base 5\nAnswer: -14242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*v - 46 = 3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -224*w - 16*w**3 + 363830*w**2 - 363828*w**2 + 5*w**3 as x*w + o*w**2 + f*w**3 + r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2344904330?\nAnswer: 2, 5, 29, 137, 59021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 149383411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 27855597 and 2?\nAnswer: 55711194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*(((v*v**(-3\/23)*v)\/v)\/v)\/v*v*v**(-7))**(-10) assuming v is positive.\nAnswer: v**(1180\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**2 + 77*r + 292. Let f be o(-73). Suppose 4*w + 0*v + 388 = -3*v, 5*w + 520 = 5*v. Let y be ((-6)\/w)\/((-18)\/(-8)). Which is greater: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -398 + 71 = -29*m - 37 + 232 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the third derivative of -g**6\/120 + 7*g**5\/12 + 10*g**4\/3 - 14*g**3 - 280*g**2. Let m be j(37). What is the highest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - 1. Let i = 1599 + -31961\/20. Find the common denominator of k\/(-96)*-2*-34 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -59769.12737 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 - 17*d + 15. Suppose 6*s - 9 = 9. Suppose 28 = -s*k - 23. List the prime factors of n(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 697048559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 + 6*i**2 - 6*i + 6. Let f be o(-7). Let s be -2 + 1 + (-1)\/f. Is s greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/11 and 13\/45970602.\nAnswer: 505676622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -a33d4 (base 14) to base 4\nAnswer: -1133333032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27 - 27. Suppose -2*z + 4*j = -410, 3*z - 614 = -m*z + 5*j. List the prime factors of z.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 0.37, 0.5, -124.5 in decreasing order.\nAnswer: 3, 0.5, 0.37, -2, -124.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-18906)\/(-9) - (-1)\/3. Let a = 20887\/10 - x. Find the common denominator of a and (0 + (-71)\/(-10))\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.898848 millimeters to kilometers.\nAnswer: 0.000000898848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/c**(1\/2))\/c*c*c**10*c**13\/c**(4\/5) assuming c is positive.\nAnswer: c**(237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -872*q + 17149. What is a(20)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*5\/(-45)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 0.2, -0.3, 21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5808 and 7320258?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 20+1235477973397\nAnswer: 1235477973417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 + 5*q**2 - q - 4. Let j be k(3). Let n(u) = -u**2 + 10*u + 16. Let c be n(j). Let w = 9 + c. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, f: 2, z: 3, t: 3, u: 1, q: 2}. What is prob of sequence uqz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 + 185 + 309 = 15*g for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 85.57459 nanoseconds?\nAnswer: 0.00008557459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -2*m - 5*m. Let g(l) = 4*l - 6. Let t(x) = -3*x + 5. Calculate m*g(r) - 5*t(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, 52, 103, 192, 331, 532?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-2) + 5\/2. Let g be (-2 - 1)*o\/(-3). Let p(t) = -t**2 - 8*t + 1. Let y be p(-8). Solve g*f = -i + y, -i - i = 2*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 - u**2 + 5*u - 1. Let w(z) = 11*z**3 - 230*z**2 + 30*z - 3. Give -6*h(q) + w(q).\nAnswer: 5*q**3 - 224*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.022 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vuu when three letters picked without replacement from vuvuuuuu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - q = -2*q + 6, 3*z + 5*q = 24. What is the second derivative of -12*l - 2*l**3 + 3*l**z + 5*l wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -131.28 + 131.28011087. Round v to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1671.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22049*u**3 - u**2 + 2*u**2 + 22023*u**3 + 0*u**2.\nAnswer: -26*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 10*t - 5. Let a be j(3). Suppose -b + a = 7. What is the least common multiple of b and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 954, 948, 942, 936, 930?\n\"Answer: -6*y + 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5349522 is divided by 32619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 855 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 2*q + 2. Let u be (-1)\/(3\/54) - q. What is the tens digit of 2055\/120 - (-2)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -3 + 3 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - 9*k**2 + 9*k - 8. Let g = 15 - 7. Let b be a(g). Suppose 0 = -w - 5*x - 7, -4*x - 5 = w - b*x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in thirty-four fifths of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qw when two letters picked without replacement from {q: 1, w: 6, e: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(208)*2 - -2*sqrt(208)*-1 - ((sqrt(65) + (sqrt(65) - -5*sqrt(65)))\/sqrt(5) - ((sqrt(91)\/sqrt(7))**2 + -5)).\nAnswer: -47*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 47256*m + 807. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7691, -15375, -23049, -30707, -38343, -45951, -53525, -61059?\nAnswer: -68547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 155, 170, 199, 248, 323, 430, 575?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3268005 is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*w + 5*w = -175. Suppose 5*b - 5 = 3*r + w, -3*b + r + 14 = 0. Solve 17 - 5 = 4*d, -2*d = -b*z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -472 + 472 - 912502*g + 912502*g + 68*g**2.\nAnswer: 68*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2960 and 6660?\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 153 and 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-3*(sqrt(130) + sqrt(130)*6 + sqrt(130) + sqrt(130)))\/((sqrt(110) - sqrt(110)*1*-2 - sqrt(110))\/sqrt(11)).\nAnswer: 81*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 61*y**3 + 21*y**2 - 8*y - 77. What is the thousands digit of h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -611, -75 in descending order.\nAnswer: 3, -75, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -5*r + 3*r + 3 + 3 + 8*r. Let d be o(1). Solve 3*u + 5*s - 3 + 1 = 0, 5*u - d = -4*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-36))\/((-28)\/(-2184)*-91).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 998 and (-1375)\/50*-4*(12\/15)\/4?\nAnswer: 10978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 5*t = -9, 0 = -3*j + 2*j - 4*t. Suppose 2 = -j*f + 6. What is the smallest common multiple of 15 and (f - -1)*(29\/2 + -4)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/((n*(n**(-1)\/n)\/n)\/n))\/n**5)**(3\/20))**(-44) assuming n is positive.\nAnswer: n**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 6*b**2 - 3*b - 8. Let z be t(-2). Let q = z + -14. Suppose -4 = -3*h - 4*v + 21, -1 = h - v. Solve -q*u = -h*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114*i + 1431360 = 28*i. Is i a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -387*w = 395 + 6126 + 4441 + 6840 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/1 - ((-10)\/8 + 7). Factor -3*y**2 - 3\/2*y**3 - 2*y + 0 - s*y**4.\nAnswer: -y*(y + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -4*(-4)\/8 - 0. Suppose 2*z + 6 = 0, i = -5*m - z + 24. Find the second derivative of m*l**2 - l**2 + 4*l**2 - 9*l - l**2 wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-2 - (2 + -1)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1 (c) -21 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -62.46 + 5173.46. Let i = -5154.23 + l. Let o = i - -39. What is o rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 15) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 253 - 252.024. Let q = j + -2.623. What is q rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 + 165*l**2 + 163*l + 210. Let b be j(-164). Which is bigger: 407 or b?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 10 = 5*j, 10 = 5*g - 4*g + 3*j. Factor 5*h**4 - h**g + 105*h**3 - 107*h**3 - 3*h**4 + h**2.\nAnswer: h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-4)*y*y**(2\/3))**(-5\/2) assuming y is positive.\nAnswer: y**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 47*g**3 - 5*g**2 + 43. Let r(k) = -24*k**3 + 2*k**2 - 22. Let t(m) = -5*r(m) - 2*x(m). Find the first derivative of t(c) wrt c.\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxsxssxpsxsx. Give prob of picking 3 s.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -44\/67 - 2\/201. Let b = -0.9 + 1. Are b and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4390 and 1317?\nAnswer: 13170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 13*c**2 - 5*c - 2. Let f be n(4). Let r be (-2)\/(-3) + (-112)\/f. Are 1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 0.8. Let b = -136.828 + 137.0279968. Let p = z - b. Round p to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 46 - 20. Let l = r + -24. Solve 4*b + w = 16, -3*b + 29 = l*b - w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (18\/15)\/((-30)\/(-100)). Suppose -5*v + 940 = 5*p, -7*v + 4*v + l*p + 543 = 0. Calculate the remainder when v is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 14 - 39 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 9*d + 22. Let p(k) = -4*k - 11. What is -7*p(o) - 3*z(o)?\nAnswer: o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 25\/30 - (36\/216)\/(1\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (2 + -5)\/(3\/(-12)*-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c + 5*m = 3*c + 35, -4*c + 2*m + 38 = 0. Let n = c + 4. What is the lowest common multiple of 18\/(-8)*-8*1 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151944131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*j**2 - 4*j**3 - 67*j**2 + 31*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*b + 16*b - 14. Find the second derivative of -8*c**b + 1 - 2 - 3*c**2 + 11*c + 56*c**2 wrt c.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 (base 8) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 102134353 to the nearest integer?\nAnswer: 10106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 126889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((7 - 3)*1)\/2. Solve -18 = 4*g - 2*q, w*q - 12 = -3*g + 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5979 - 34263 - 108216 = 4271*w + 8714 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5907*z - 44030 = 4717*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3\/4 - 8868*f**2 - 314601165*f\/4 - 314530225\/2.\nAnswer: -(f + 2)*(f + 17735)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-4)*(220\/(-15))\/11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 1. Let o(a) = 4*a + 9. Suppose -d + 7*x = 10, d + 3*d - 5*x - 6 = 0. Determine d*j(g) - o(g).\nAnswer: -4*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -4837 smaller than -380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 197 + -187 + (4 - 40).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o and 1 l when four letters picked without replacement from {l: 7, o: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-99)\/(-117) + (-2)\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 236, -2, 4 in ascending order.\nAnswer: -2, 4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 - -212?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 11. Suppose f*z = -h - 2 + 35, -z + 27 = h. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*i**3 + i**2 + 2646730*i + 750668 wrt i.\nAnswer: -6*i**2 + 2*i + 2646730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.84967144 to 2 dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8) - -3*sqrt(8))*-6 + (sqrt(8) + sqrt(72))*-4)\/(6*(sqrt(4) + sqrt(4)*-3) + sqrt(4) - (sqrt(4) - 3*sqrt(12)\/sqrt(3))).\nAnswer: 40*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let x = 31.9 + -37.9. What is the second biggest value in 0.3, 1\/6, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*w**4\/8 + 122*w**3 + 14791*w**2\/2 + 101778*w + 76752 = 0. Calculate w.\nAnswer: -26, -24, -4\/5, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -4 - 2. Let z = -3 + 11. What is the second smallest value in k, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(1 + -6*(2*(-1 + sqrt(1872) - sqrt(1872)) - sqrt(1872)))**2.\nAnswer: 7488*sqrt(13) + 270244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r = 3*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 61*k**2 + 74*k - 23. Let h(d) = -39*d**2 - 49*d + 15. Let q(f) = 11*h(f) + 7*j(f). Determine q(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2305.02 + 2305. Sort 0.5, -0.5, c, -2\/61.\nAnswer: -0.5, -2\/61, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 + 867\/63 - 2\/(-3). Let o = 3995\/322 - q. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, -51, -1, -3, -1003 in ascending order.\nAnswer: -1003, -51, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be 272\/10*40\/16. Suppose -4*i = -12*v + 7*v + y, 40 = -2*i + 4*v. Suppose 4*q + 61 = -3*p, -5*p + q - 4*q - 87 = 0. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25600000 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 107 - 119. Put 5, 2, a in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*(w*w**(-3)\/w)\/w)**(-2\/11))**36 assuming w is positive.\nAnswer: w**(216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the second derivative of j**4\/12 - 3*j**3\/2 + 11*j**2\/2 + j. Suppose -3*v + 8 = -16. What is the units digit of r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -242 + 5?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-66*v**2 + 4 + 12931*v**3 - 12934*v**3 - 46)*(-1 + v + 1) to the form c*v**4 + k*v**3 + s*v + t*v**2 + l and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -395 (b) 0 (c) 2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 541, 3, -27, 1.2, 0.4, -5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 3*s - 553. Let d(r) = -7*r**2. Give d(l(n)).\nAnswer: -63*n**2 + 23226*n - 2140663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 188 + -156. Suppose g - 5*g + k = 0. Solve 4*b + 0*b = -g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 100202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1.47 times 5\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2701767*f**5 + 247*f**2 + 11*f - 28.\nAnswer: 162106020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gqggggqg. Give prob of picking 3 g.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -10*m + 43. Let c be y(4). Let p be -1*1*-1 + 0. Let o be (-1)\/(p\/(-1 + -1)). Solve -k + o*k = 4*b + 17, 0 = -2*b + c*k - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 20\/6*-10*20\/125\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/4*12408\/(-517).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3098893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 124124749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 96861 + -96861. Factor 44\/7*k + 2\/7*k**2 + u.\nAnswer: 2*k*(k + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 1)*(15 + 3*f - f - 11).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - 2 - -13 - ((13 - 19) + 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-23)\/(-46))\/((-3)\/9576). Is -1595 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/(-30) - ((-13)\/(-24) - 0).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 14\/(-10))*(192 + -191)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 200485960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t**2 + 0*t**2 + 0*t**2)*(8*t - 2 + 2).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 7:47 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 17*c + 20. Let w(u) = -680*u - 799. Give -3*w(a) - 119*y(a).\nAnswer: 17*a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 3 = s + 6, 0 = 3*j. Let p = 0 + s. Let f = 2 - p. Solve 4*l = f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -879.999257 - -880. Round z to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 4*j**2 + j - 5. Is 8 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3\/2, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 5*l - 65 + 22, -5*y = l - 23. Suppose -l*z - 144 = -12*z. Suppose 6*p - 18 = z. Solve 11 + p = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v = 2213 + -31049\/14. Let j = 13\/10 + -101\/45. Find the common denominator of j and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.06*31456\nAnswer: -1887.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 21548787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1612 + 1602 = -10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, 0.014, 2, 20.3?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 3*t**3 - 80*t**2 - 3*t - 178. Let j be a(22). Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 1 - 2)*(-4*j**4 + j**4 - j**4) - 2*j**4 + 0 + 0 in the form f*j**2 + x*j + v*j**3 + u*j**4 + d and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -44 + 85 + -29 - ((-3 - (-1 - 3)) + -90).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -44*h**2 - 24*h + 24. Let b(y) = -35*y**2 - 23*y + 15. Let q(g) = 23*g**2 + 15*g - 10. Let t(f) = 5*b(f) + 8*q(f). Determine -24*t(i) - 5*x(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9774 - 97539\/10. Let o = i + -20. What is the biggest value in -1, -8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/5, -1\/6, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w + 5. Suppose -13 = -3*t + 5. What is the smallest common multiple of g(t) and (6\/8)\/((-3)\/(-12))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -2*s**2. Let a(w) = 4. Let u(l) = 290*l - 75*l - 195 - 149. Let i(r) = -86*a(r) - u(r). What is i(d(v))?\nAnswer: 430*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 246\/7*o**3 + 3\/7*o**4 + 4791\/7*o**2 + 756 - 1476*o.\nAnswer: 3*(o - 1)**2*(o + 42)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5378?\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 149 + -150. Let c = -2 - -5. What is the second biggest value in 2, d, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/42)\/((-345)\/138*48\/(-7))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**0)\/(t*t**(1\/3)))**(-47)*((t*t\/(t**6*t*t*t))\/(t\/(t\/(t**(-3\/5)\/t*t))))**37 assuming t is positive.\nAnswer: t**(-3317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2338, -0.3, -0.4, 3, 0.2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 899 + -900. Suppose -2 = -4*y + 2. What is the biggest value in y, c, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10713 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -27311375 divided by -5?\nAnswer: 5462275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - 8. Let b = 0.9 - -0.1. Let w = b + h. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26096 - 52268 + 26172 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1471 a factor of 89889868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -697 + 78*o + 697 - 2*o**3 - 78*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 466 - 458 = -2*c + 5*n, -5*n - 10 = 0. Let d(z) = -17*z**2 + 7*z + 2. Let j(y) = 8*y**2 - 3*y - 1. Give c*j(k) - 4*d(k).\nAnswer: -4*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-6*(-2 + sqrt(19)) - (sqrt(190)\/sqrt(5))\/sqrt(2)).\nAnswer: -7*sqrt(19) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3148*d**3*o**2 + 285*d**3*o - 2566698*d**3 wrt o.\nAnswer: -6296*d**3*o + 285*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the second derivative of -q**5\/10 + 7*q**2\/2 - 12*q. Let f(b) = b**3 - 4. Let c be (-8)\/24*126\/(-6). Calculate c*f(p) + 4*z(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2. Let k(p) = -2*p**2 + 5*p + 1. Let g(c) = -k(c) + 3*z(c). Suppose 3*d + o = -12, 5*o + 1 = -2*d - 20. Let x be 15\/d - (-6)\/3. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -21 - -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-3\/10)\/x*x**(3\/5))\/(x**(-2))**17 assuming x is positive.\nAnswer: x**(333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 78374197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find s such that s**5 - 5*s**4 - 3*s**3 + 17*s**2 - 10*s = 0.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 3*w**2 - 7 + 6*w**3 + 10 + 2*w**2. Let x(p) = p**3 + p**2 + 1. Calculate -u(f) + 5*x(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 1 + 2)*(1 - 1 - i)*(-1 + 1 + 3*i**4).\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -x + 5*h - 12, -43203*x = -43202*x + 4*h - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sro when three letters picked without replacement from rowswowwyoo?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/100*72\/(-108).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -112*a**4 + 671798*a**3 + 449261493*a.\nAnswer: -1344*a**2 + 4030788*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2712*u - 367*u + 143*u.\nAnswer: 2488*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-10)*-3*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55796, -55801, -55794, -55769, -55720, -55641, -55526?\nAnswer: -55369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/6*(-4 - -10). Suppose -4*x + 117 = -0*x + i*s, -5*s = 3*x - 96. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, 6, -121.\nAnswer: -121, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be 16 - ((-6 - -2) + 5). Suppose -p*c = -3199 - 2351. What is the highest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 23*n - 19*n - 16. Suppose -2131155 = -4*b - 3*g, -2450331 + 319152 = -n*b + 5*g. Let k = 53209 + b. Round k to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (4*(sqrt(200) + (sqrt(200) + -1 - sqrt(200))) - -1*((sqrt(200) - (sqrt(200) - (-2 + sqrt(200)) - sqrt(200))) + sqrt(200))))**2.\nAnswer: -420*sqrt(2) + 9809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1365 - 585. Suppose 32*x = 19*x + w. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/8*(1 - 11). Suppose k*j - 3*m = -2 - 3, 3*j + 3 = -4*m. Sort 4, j, 1.\nAnswer: j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2012298 is divided by 8281.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.19731 + -13445.09731. Round t to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 AM and 5:06 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-8)\/(-3))\/((-8)\/(-24)). List the prime factors of s\/2*(-17)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 380699676 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -352*m - 86. Is h(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0.31, 12, 0, -4 in decreasing order.\nAnswer: 12, 0.31, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1\/3, -0.023352, 0.04, 0, -1, -3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2038016 and 384?\nAnswer: 6114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 23 = 4*v, -4*v + 5*y = 13 - 30. Let g(p) = 2*p**2 + 3*p. Let s(k) = -6*k**2 - 10*k. Determine v*s(w) - 7*g(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1372, 1392, 1412, 1432?\n\"Answer: 20*r + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2334315 is divided by 109.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -637302 + 1274595 - 637293 - 11*t**3 - 21*t**3 - 10*t**3.\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4702235?\nAnswer: 5, 23, 31, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - -7d?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 285016 * 0.12\nAnswer: 34201.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -606383*g - g**3 + 606383*g - g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5*45\/27 - -9. Let g = 56 - 28. Let i = -30 + g. Which is the closest to r? (a) 4 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*w = -10*w - 7392. What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0 (b) -180 (c) -2\/7 (d) -2\/3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2144, -4284, -6424, -8564?\nAnswer: -10704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1450403036 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -157046 smaller than -154858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 218.577873 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (12\/9)\/((-2)\/(-39)). Let j = -6 + t. Suppose 2*p + 24 = 4*o, 0*p = -5*o + p + 24. Calculate the lowest common multiple of o and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*a**3*n*w - 454970*a**3*w - 2*a**2*n + 1782299*a*n + 6*n*w wrt a.\nAnswer: 48*n*w - 2729820*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(7))**2 + -3)*3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22870177 is divided by 1164.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be (8\/5)\/((-1)\/(-10)). Suppose 3*z - i - 11 = 0. Calculate the remainder when 23 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25 - 24. Is d*(-6)\/(-2) + 32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3335*o - o**2 + o**2 + 530659*o**3 - 543624*o**3 wrt o?\nAnswer: -77790*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -511 times -25963\nAnswer: 13267093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the third derivative of -v**4\/24 - 33*v**2. Let l = -17 + 28. Let w = 7 - l. Determine i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -343*q + 340*q - 2*k = 19, 5*q - 5*k + 40 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -116 + d9?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -m**4 + 4*m**4 - 4*m**4 + (3*m - m - 5*m)*(-4 + 3 + 3)*(-m**3 - 2*m**2 + 2*m**2).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 - 5*z**2 - 8*z - 9. Let w be s(-4). Suppose w*c = 6*c. Let q(v) = -v + 17*v - v + c*v. Let y(t) = 2*t**2. Give y(q(u)).\nAnswer: 450*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - 3*n + 1. Let a be t(-2). Suppose 36 = -l + a*l. Let r(h) = 2*h**2 + 2*h + 3. What is the remainder when l is divided by r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + -1 + 17 - 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 18 = 2*v, -9*v + 10*v + 28*y - 35 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(80)*6 - sqrt(5)) + (sqrt(5) - sqrt(320)*2))**2 + (((sqrt(45)\/sqrt(3) + sqrt(15))*3)\/sqrt(3))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 5*i**2 + 1215*i + 54900 = 0.\nAnswer: -183, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -914292, -914385, -914478, -914571, -914664, -914757?\nAnswer: -914850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 135 = -5*l, -2*r + 3*r = 4*l + 17. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1 + (2*-2*sqrt(19) + sqrt(19) - (sqrt(76) + -1)) + ((3 + sqrt(19))*-6 - (5 + sqrt(171) + sqrt(19))))**2*-4.\nAnswer: -18862 - 2520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1651*g**3*j + 10*g**3*y + g**3 + 100*g**2*j*y + 4*g**2*y + 3*g**2 - 6*y wrt j.\nAnswer: -1651*g**3 + 100*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*a**2 + 2*a - 2*a - 1125.\nAnswer: -2*a**2 - 1125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 3) + (1 - 5 - (-23 + 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Multiply -0.17 and 319.69.\nAnswer: -54.3473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - c + 22 = -67, -5*k - 4*c + 230 = 0. Let a = 6 + -46. Let x = k + a. Solve -5*d - x*b = -3*b - 18, 12 = -4*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**4\/3 + 124*q**3\/3 - 4414*q**2\/3 + 11780*q - 27075.\nAnswer: -(q - 57)**2*(q - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -263.94 * -1\nAnswer: 263.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from mxxxxmm?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 3*r**2 + 6*r. Let q = 27 + -32. Let i(w) = 2*w**2 + 5*w. Give q*i(g) + 4*j(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 11212 (base 3) to base 2\nAnswer: 10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3081*r**5 + 3755*r wrt r.\nAnswer: 61620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -4*x - 132. Let o be -16*4\/x*-3. What are the prime factors of o\/(-1)*(-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -2 + 10*b - b**2 - 1 - 2 - 2. Let u be m(9). Let r(x) = -19*x**3 - 2*x**2 + x - 2. Let y be r(u). What is y rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 - 10*p - 71. Suppose 5*k - 2*a + 15 = 0, -4*k + 3*a = -8*k - 35. Calculate the lowest common multiple of g(k) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -5*c + 2. Let d be h(-2). Suppose -9*b = -d*b. Solve b = x + 6 - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10410 (base 6) to base 2.\nAnswer: -10110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of -k**6\/180 + k**5\/30 - k**4\/8 - 4*k**3\/3 + 5*k. Let f(a) be the second derivative of j(a). Calculate f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28 + -29 - (9 + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2*k**3 - 5*k**2 + 12*k + 26. What are the prime factors of t(-7)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 245039\/36 - 61100\/9. Find the common denominator of (-1545)\/1450 + 3\/5 and y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -25 - -13. Let d = b + 16. Suppose -26 = -3*k - 2*i, d*i - 26 = -k - i. Solve y = -2*y + k, -2*y - 12 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36142740 - 2*n - 36142740.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be (37 + -1)*23\/46. Solve -23 + j = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -95*j**4 - 105*j**3 + 180*j**2 + 20*j = 0.\nAnswer: -2, -2\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 - w**2 - w + 4. Let h be s(0). Suppose -2 = h*u - 5*b - 39, 5*u + 2*b = 38. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = -4\/48263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 22*q - 20*q - 34. Solve 5*o + 8 = -q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a - 81?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 4*o**2 - 4*o. Let d be w(-5). Is (-637)\/d + (-14)\/35 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + q = 1 + 19, -2*q - 5 = -a. Suppose -3*z + 4 = -4*k, -a*k + 11*k + 2 = 4*z. What is v in 2\/7*v**2 + 0*v + 2\/7*v**3 + z = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*(-5)\/(-630)*-7\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 243 and 495828?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4137 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 230028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*d = 8*d - 2. Let s be -15*(-2)\/18 + d. Find p such that 1\/3*p**5 + 2\/3*p**3 - p**4 + s*p**2 - p + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 695010*m**5 + 2*m**4 + m**3 + 5183594*m**2 wrt m?\nAnswer: 41700600*m**2 + 48*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 2*m**2 - 4*m - 2. Let d = 777 + -773. Determine y(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -3*v**3\/7 + 12983355*v**2 - 688317275037024*v\/7 - 688317365920512\/7 = 0.\nAnswer: -1, 15147248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*g - 85800000 = 37*g. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -20534016*z**2. Let b(n) = n. Calculate u(b(m)).\nAnswer: -20534016*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 + 6*i + 6. Calculate the smallest common multiple of 6 and z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 120383.\nAnswer: 120383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.321 + -4.\nAnswer: -3.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 54559 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than -70709?\nAnswer: -70708.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 151483538 by 707867.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 108939490 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*y + 21557 - 21629. Calculate the lowest common multiple of y and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 - 31964*t - 159795.\nAnswer: -(t + 5)*(t + 31959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r**(5\/6))*r\/(r**(1\/6)\/r))\/((r*((r**(-6\/11)*r)\/r)\/r*r*r)\/r*r)**33 assuming r is positive.\nAnswer: r**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -155*x**2 + 56*x - 13. Let c(t) = -121*t**2 + 42*t - 10. Let v(b) = -9*c(b) + 7*z(b). Give v(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3477*v - 4057 + 276435 + 154150 = -2447*v for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*g = -59*g + 352 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 101360945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (787150 - 787150 - 5417*p)*(-3 + 1 + 3)*(-1 + 5 - 3) to o*p + h and give o.\nAnswer: -5417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 = 11*v + 53 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0008022 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 925*y = 740*y + 2220 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1161021 (base 13) in base 10?\nAnswer: -5371692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 2*m = 2*z - 6, 0 = -4*z - 5*m + 15. Solve z = 45*k - 164 + 29 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**22*z)\/z**(-1))\/(z**(1\/47)*z**(-13)))**(20\/3) assuming z is positive.\nAnswer: z**(34760\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -192*f - 118 + 71 = -2532 - 3659 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (5 - 16\/4) + 4. Suppose q*f + 1027 = 4232. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6.5 and 0.6.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -44 + 234?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 9 - 4)*(-2264190*v**2 + 1690*v + 2264193*v**2 + 742*v) as u*v + x + l*v**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**4 - 3263988*v**3 = 0. Calculate v.\nAnswer: 0, 815997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 3*y**2 + 116*y - 37. Let m be c(-39). Which is bigger: m or -1\/259?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - (8 + -16 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*k + 11*k. Suppose 4*r = 3*w + 191, 5*w = -5 - k. Let o = r - 43. Solve 0 = -m + o - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101 + 2210?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 287, 598, 895, 1178, 1447, 1702?\n\"Answer: -7*c**2 + 332*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of n**6\/60 + 7*n**5\/15 + 49*n**4\/12 + 36*n**2. Find f, given that j(f) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 2. Let h = 0.9999936 + y. Round h to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-21)\/(-14)*2*(-4)\/102.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 8410 (base 10) in base 14?\nAnswer: 30ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*h + 156*h + 107*h - 1785 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 58815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/6*(-1227)\/3272.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 233? (a) 0.5 (b) -0.3 (c) 12238 (d) 2\/11 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 455664.9 months to years.\nAnswer: 37972.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, 0, -7, 7.\nAnswer: -7, -4, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 775618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 57091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -248 times 2?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 AM and 7:16 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32959917.\nAnswer: 3, 3662213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 4*g**5\/3 - 16*g**4\/3 + 16*g**3\/3 + 8*g**2\/3 - 20*g\/3 + 8\/3 = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 38541 - 23376. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 4*m = 22, 2*x - 3 = x + 2*m. Let b = x + -2. Suppose -10 = 5*n, n + 19 = b*o - n. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (960\/640)\/((-3)\/36)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 1262 = -1603. Suppose 212 = 5*a - n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-102)*-2)\/(1214\/134147)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1512719 millilitres to litres.\nAnswer: 0.0001512719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -c56733 (base 15) in base 16?\nAnswer: -8f3dea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -c**5\/80 + 3*c**4\/4 - 23*c**3\/8 + 208*c**2. Let o(m) = 0. Calculate m.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3 greater than or equal to -560\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 76*q - 4457. Calculate the remainder when 371 is divided by g(60).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 22 (b) 180 (c) 0.4 (d) -2\/187 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -92.75*-0.4\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -1.572114 to 3 dps.\nAnswer: -1.572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of -5*r**7\/14 + 4*r**6\/3 + 5*r**5\/4 - 15*r**4\/2 - 10*r**3\/3 + 20*r**2 + 7*r. What is l in a(l) = 0?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3627, -3, -2, 3, -5 in ascending order.\nAnswer: -5, -3, -2, 1, 3, 3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 284*v**4 - 28*v**4 + 109*v**4 - 868*v**2 + 21*v**2 wrt v.\nAnswer: 8760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 6:25 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - f**2 + f + 7. Suppose 8*s - 31*s = -7*s + 21*s. What is r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - 45224?\nAnswer: -45221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 131927, 263896, 395865, 527834?\n\"Answer: 131969*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 863 - 549. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j**3 - 326*j**2 - 2*j - 331. Let x be s(-163). Let i(u) = -7*u - 1. Determine i(x).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-9)\/(-2)*(-2)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34284440 divided by 5.\nAnswer: 6856888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/5)\/((-7)\/35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 186678533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be 10\/(-2) - 8\/(-4). Let d = b - -2. Is -1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t - 2. Let j be z(-2). Let g be 6\/(-4)*(-10)\/3. Suppose -g*v = -5, 3*v + 19 = 2*r - j*v. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(33) + (sqrt(297) - sqrt(33)))\/sqrt(11).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 115*b - 128*b - 1. Solve 2\/9*x + b + 2\/9*x**2 = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 - 13*x**2 - 11*x + 12. Let t be y(-12). Let o = 11 + t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, c: 2, p: 1}. Give prob of sequence cp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4, -4, -0.1, -40, -2\/5, -31\/3?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of -2\/3*w**6 + 0*w + 0*w**4 + 64\/3*w**3 - 16\/5*w**5 + 81 + 32*w**2. Factor m(v).\nAnswer: -4*v*(v - 2)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 563 + -559. Let r be -3 + -2*(2 - 42\/12). Solve r = -t + n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70553050.\nAnswer: 2, 5, 1411061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-8 - 4) + -4 - -5 - 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -3\/5, 84\/17, 0.5.\nAnswer: -3\/5, -1\/5, 0.5, 84\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -1 (c) 95 (d) 189 (e) -2\/3 (f) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of -a**7\/70 + 11*a**6\/40 + a**5\/20 - 11*a**4\/8 + 1410*a**2. Factor q(i).\nAnswer: -3*i*(i - 11)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*q\/(q**8\/q)*q*q*q*q\/q**(-12)*((q**(1\/5)\/q)\/q)**49 assuming q is positive.\nAnswer: q**(-386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 35 = 2*b, -3*b + 3*j + 81 = -2*j. Suppose 2 = 4*u - b. What is the second derivative of -o**4 + o + 3*o - 8*o**4 - u*o wrt o?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1573) - (1 + sqrt(1573) + -1)) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {k: 2, c: 1, b: 2, l: 1, x: 5, p: 5}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2*p**2)*(-3*p**2 - 2*p**2 + 9*p**2) + (5*p**2 - 14 + 14)*(-8 + 8 - 2*p**2) + p**4 + p**4 - 3*p**4.\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes after 6:35 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -2*k**3 + 24*k**2 + 32*k - 25. Let s(q) = -8*q**2 - q - 1. What is l(o) + 3*s(o)?\nAnswer: -2*o**3 + 29*o - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 50 - (-30 - (-49 - 53))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-37 - -49) + (19 - -2) + -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 4*o = 262, -2*u = 4*o - 304 + 10. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (15\/(-9))\/(260\/(-156)). Let y(h) = 32*h - 6. Let q(g) = g + 1. Determine b*y(j) + 4*q(j).\nAnswer: 36*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.1, -3.36, -2\/3, -1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -10253, 5, -5 in decreasing order.\nAnswer: 5, -5, -10253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-9\/5)\/t*t)\/t**13*t**8\/(t\/t**(-5)) assuming t is positive.\nAnswer: t**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 0.1 (c) 5\/3 (d) -701\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1872) + sqrt(1872))\/((sqrt(8)\/sqrt(2) + sqrt(4))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-10))\/((-28)\/70).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 34\/51*(-9)\/2. Which is the closest to -0.1? (a) x (b) -25 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1079 - 467. Suppose 9*g + h = 15*g. What is the greatest common factor of g and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wnh when three letters picked without replacement from {w: 2, h: 3, i: 3, d: 2, o: 1, n: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.098002 litres?\nAnswer: 8098.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 734*s = -2978 - 1426 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the third derivative of w**5\/240 + 161*w**4\/16 + 77763*w**3\/8 + 309*w**2 + 3. Let g(q) = 0. Calculate q.\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.158 - -0.558. What is the second smallest value in -0.2, y, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.550013 decades in months?\nAnswer: 1026.00156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, g: 3, b: 1, v: 3, y: 1, l: 5}. What is prob of sequence lge?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 2 = 3*b + 3, -h = 4. Sort 3, b, -0.4, -0.5 in descending order.\nAnswer: 3, b, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -34 - 19?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.084 - 44.224. Let i = c + 49.5. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = q + 4*z - 0*z, -5*q + 5*z = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 202 divide 59023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**2 + 10942209*x - 65653146.\nAnswer: -3*(x - 3647397)*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + 9, 3*c - 201*q + 1292088 = -205*q. Round c to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 29088 and 1414?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**4 + 72*y - 72*y)*(8*y - 6*y + 4 - 2*y - 18*y).\nAnswer: 18*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 147, 148, 149, 150?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3125058068?\nAnswer: 2, 11, 89, 798023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80*d**2 - 79*d**2 - 79*d**2.\nAnswer: -238*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 2*y + 6, -y = 3*y. Let d(w) = m - 12*w - w**2 + 4 + 10*w - 4. What is d(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes after 11:09 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 5*j**3 - 4*j - 33. Let o(a) = 6*a - 2*a**2 + 4*a + 32 - 5*a**3 - 5*a + 0*a. Let u(z) = -5*h(z) - 4*o(z). Differentiate u(l) with respect to l.\nAnswer: -15*l**2 + 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (61\/(183\/(-130)))\/(((-1)\/(-1))\/190830). Round d to the nearest 100000.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11543026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*r**2 + 2*r**2 + r**2)*(-52334 + 15890 + 16601) to o + s*r**2 + p*r and give s.\nAnswer: 39686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 21513 divided by -2\nAnswer: -21513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 12 + 0 = 0. Let l be 2\/r - (-180)\/54. What are the prime factors of ((-78)\/l)\/(18\/(-48))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.752 rounded to 2 dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 3. Let j(m) = 16*m + 166. Let u be j(-11). Let s be (u\/15)\/(2\/(-12)). Calculate the highest common divisor of s and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 97507, 195014, 292521, 390028, 487535?\nAnswer: 585042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.056 + 0.156. What is the closest to d in -2\/5, -1\/4, -36, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1540, -5548, -12228, -21580, -33604?\n\"Answer: -1336*d**2 - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 254009311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7439 is divided by 490?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -248 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0.07, -1\/2, 6, 1\/5, 4\/5 in increasing order.\nAnswer: -1\/2, 0.07, 1\/5, 4\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -130 - (0 - (-14 + (5 - -3))) - (355 - 354)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of -3*w**3 + 1\/10*w**6 - 15*w**2 + 0*w**4 + 0 + 0*w**5 + 0*w. Differentiate t(n) wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2093 + 272 - 640 = -107*d. Solve d*j = 27*j - 3*k + 3, k = 4*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 4*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 73 - 50. Find the second derivative of -22 + 22 + 21*m**3 + r*m wrt m.\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010000000101 + 11111?\nAnswer: -1001111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*l - 61 - 170. Let g be l\/(-21) - 9\/(-21). What is the greatest common factor of g and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -68\/35 and 39\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 399, 813, 1237, 1677, 2139, 2629, 3153, 3717?\n\"Answer: w**3 - w**2 + 410*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yyxyixyaxxayxyyxaxxa.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of m**5\/20 + 13*m**4\/24 + m**3\/2 - 4*m**2. Let n(z) = -2*z**2 - 7*z - 2. Calculate -7*n(h) - 4*o(h).\nAnswer: 2*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-33)\/7)\/((-1284)\/(-1498))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 6*u**4 - 140*u**3 - 422*u**2 + 156*u = 0.\nAnswer: -3, 0, 1\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4 + 165\/(-20) + 1\/4. Suppose -3*z = 4*j + 25, 2*z = -0*j + 4*j - 10. Let a = z + 4. Put o, a, 5 in decreasing order.\nAnswer: 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8.5 - -37. Let f = w + -46. Which is the fourth smallest value? (a) 4 (b) f (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 133592381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4815132005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 43537766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus 23807557917920?\nAnswer: 23807557917919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -37*f**3 - 45*f**3 + 14*f**3 - 4 + 3 + 2*f**2 + 3*f. What are the prime factors of l(-2)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 311 and 430.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -17\/235 - 6\/47. Which is the closest to -0.1? (a) 15 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -45 - -42. Let r(l) = 2*l + 13. Let m be r(s). Solve m = 3*b - g - 0, 0 = 3*b + 3*g - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1641 + -51?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 1248\/127495?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (2*p**3 + 0*p**3 - 5*p**3)*((-6 + 3 + 0)*(-3 + p + 3) + 3*p - 4*p + 0*p + 32*p + 778 - 778) as h + d*p**4 + y*p + m*p**3 + r*p**2 and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-77)\/(-21))\/(8\/12))\/(6\/24).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 42417*t**2 - 29213*t.\nAnswer: 84834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5048, 10090, 15132, 20174?\nAnswer: 25216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -3 + 7 - 1 - 4. Let i(h) = -2*h**2 + 3*h - 6. Calculate i(o) - 5*u(o).\nAnswer: -2*o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -137 - -136.7. What is the second biggest value in -5, y, 0.15, 2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2832 - 1761. What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87 + 43 + 83667*m + 44.\nAnswer: 83667*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4602455, -18409859, -41422213, -73639517?\n\"Answer: -4602475*m**2 + 21*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -918420 divided by 15307\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - 237?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -7*h**2 + 3*h + 1. Let a(o) = o**2. Let u(m) = -4*a(m) - f(m). Let r be u(-3). Suppose -2*d + 4*t = -34, 0*d + r = 3*d - 2*t. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(3) - sqrt(12)\/(sqrt(16)\/sqrt(4) + sqrt(4)))*-3)**2.\nAnswer: -12*sqrt(3) + 91\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 985.737 meters?\nAnswer: 0.985737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a*a**(-5)*a*a*a*a**(-1\/6))\/(a**(-3\/2)*a*a**1))\/((a**1)**5\/(a*a**(3\/5)*a**(2\/15)\/a)) assuming a is positive.\nAnswer: a**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 257928 and 233112?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.5, -744\/11, -15.8?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -72*h - 1313. Give j(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y + 13. What is the units digit of w(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -179.5, 1, 2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1763.9 + 1764. What is the nearest to t in 21, -1\/5, -3, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 5*q - 296 = 0, 0 = -4*s - s + 2*q + 1457. Let r = -6 - -12. Suppose 0 = r*m - 231 - s. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/14 and 43\/((21 + 3)\/6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6.91 - -3.69. Let o = -10.5 + k. What is the third smallest value in 2\/5, o, -4, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**2 - 4*j**3 - 2*j**2)*(2 - 4 + 0) - 2*j**3 - 5*j**2 + 5*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add together -22183.3 and -0.018.\nAnswer: -22183.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the second derivative of -t**5\/20 - 11*t**4\/12 - 7*t**3\/6 - 69*t**2\/2 - 1561*t. Calculate j(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81354?\nAnswer: 2, 3, 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jckkkkcdcckdkkkc. Give prob of picking 1 c, 1 j, and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.024 + 0.024. Let g = 101.8 + -102. Put g, 39, x in decreasing order.\nAnswer: 39, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -8. Suppose -3*i + 4*k = -12, i - 5*k + 2 = -5. Let u be (18\/(-16))\/((-6)\/i). Which is the nearest to u? (a) r (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -788?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 97 + 179 - 20 + 3*l.\nAnswer: 3*l + 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the first derivative of 3 + 1\/2*x**2 + 3*x + x**3. Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/(q*q**(-3\/2)*q))\/q*q*q**20\/q)\/(q**(-13)\/(q*q*q**24)))**(-12) assuming q is positive.\nAnswer: q**(-702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 24a4 + 4625?\nAnswer: 7019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3150 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1291249013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -3. Let r(c) be the third derivative of -c**6\/120 - c**5\/30 + c**4\/3 + 5*c**3\/6 + c**2. What is the remainder when r(p) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 58074, 113812, 169550?\n\"Answer: 55738*q + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31719 = 150*g - 25581. Calculate the remainder when g is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -3*m - 5. Let g be k(-2). Is -2\/9 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1253400 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h + 2. Let o(m) = -3*m**3 + 10*m**2 + 4*m + 11. Calculate 4*a(n) - o(n).\nAnswer: 3*n**3 - 10*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -2 + ((-47852)\/(-4) - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**3\/2 - 20*n**2 - 409*n\/2 - 585.\nAnswer: -(n + 5)*(n + 9)*(n + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 3*i - 3*u, -2*i - u + 0 = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -4*m. Suppose -3*x = -h - 2*h + 6, 3*h - 5*x = 4. Let u = 11 + -9. Let q(j) = -h*j**u + 4 - 4 + 4*j**2. What is q(v(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -487, -5775, -11063, -16351, -21639, -26927?\nAnswer: -32215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (-1 - (2 - -4) - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 32059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 4, -468, -18, 3 in descending order.\nAnswer: 4, 3, -1, -18, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, a: 2, h: 1, v: 1, i: 3, u: 4}. What is prob of sequence ihi?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 274135218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42.5167 - -140790.59.\nAnswer: 140748.0733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9.54 - -10.54. Is -118 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {u: 4, l: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -5, 33, -4, -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 839 divide 56562801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -31*p - 1. Let n(v) be the third derivative of -5*v**4\/8 - 8*v**2 + 36*v. Determine n(x(i)).\nAnswer: 465*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*x + 1750 + 655. Calculate the remainder when x is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 86.58 + -87. Let f = h - -4.42. What is the closest to 2 in f, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1775.5 and 694847569?\nAnswer: 694845793.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 - (12 + 5) - (-5 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 + 39ba6?\nAnswer: 39ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-138)\/17 - 1464\/(-12444)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6617 + 6618. Put -13, 3\/5, z, -2\/5, 0.1 in increasing order.\nAnswer: -13, -2\/5, 0.1, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4560.982 rounded to the nearest ten?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 102013659*b**2*j + 13*b*j - 1246146*b - j wrt b.\nAnswer: 204027318*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:59 AM and 10:42 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 14*f**2 - 16*f - 118. What is v(-6)?\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 2, 0, 54 in decreasing order.\nAnswer: 54, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t**3 - 4*t**2 - 5*t + 5. Let d(z) = -z**3 - 10*z**2 - z - 4. Let x be d(-10). Let f be l(x). Suppose -5*c + f - 78 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 3*x = -163, 5*m - 3*x + 195 = -8*x. Let y be 74\/(-105) - 20\/m. Let b = -147 + 149. Which is greater: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19) + (sqrt(1539) - (sqrt(1539) - (2*sqrt(1539) + sqrt(1539))))**2 - (sqrt(76) + -1)**2.\nAnswer: 5*sqrt(19) + 13774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -717515, -716756, -715997?\n\"Answer: 759*c - 718274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -5*y - 3, -1 = -4*h + y. Solve 4 + h = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 33 + 45124?\nAnswer: 45157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 103 - 86. Suppose n*c - 730 = 3792. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 855 is divided by 820.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 53, 50, 47?\n\"Answer: -3*y + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 133467 (base 9) in base 16?\nAnswer: 13d98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -28751, -27066, -25381, -23696, -22011, -20326?\n\"Answer: 1685*c - 30436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, m: 4, h: 4}. Give prob of picking 1 m, 1 h, and 1 o.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 17487856?\nAnswer: 17487856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5424b (base 15) to base 7\nAnswer: 2161565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(91) - (3*sqrt(91) + sqrt(91) - sqrt(91))) + sqrt(91))*1*3)\/(-6*(sqrt(63)*-5 - (sqrt(7) - (sqrt(35) + sqrt(315))\/sqrt(5)))).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 125*r + 107*r - 261*r + 2*k - 2167, r = 3*r + k + 154 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*i - 7387 + 29617 = 0. List the prime factors of i.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*b - 4*b**3 + 2615*b**2 + 8*b**3 - 2615*b**2 in the form m*b**3 + c*b + o + w*b**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 759439.\nAnswer: 653, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -141\/5*q**2 - 27*q + 6\/5.\nAnswer: -3*(q + 1)*(47*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -166.465 + -11694\nAnswer: -11860.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -4*i**2. Suppose -3*x = -4*x - 6. Let c(w) = 11*w - 17. Let j(a) = -3*a + 5*a + 2370 + 0*a - 2373. Let h(d) = x*c(d) + 34*j(d). What is h(t(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 27 - -10105037?\nAnswer: 10105066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6075 - -13897. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4.65 + -6.5. Let t = u + -0.15. Let j = 0.1 - 0.2. What is the smallest value in j, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u**3 + 50*u**2 + 2*u + 6. Let q(s) = 2*s**2 + 1. Determine j(n) - 8*q(n).\nAnswer: 2*n**3 + 34*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 66128.21 millennia?\nAnswer: 661282.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-24\/5))**(-2\/31) assuming l is positive.\nAnswer: l**(48\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5689491, 11378985, 17068485, 22757991, 28447503, 34137021?\nAnswer: 39826545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 422090638 - -4?\nAnswer: 422090642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 4) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -48*x. Let v(a) = 6038446*a**2. Give z(v(t)).\nAnswer: -289845408*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40*y**3 + 2 + 2*y**4 + 0 - 40*y**3 + 5*y to t*y**3 + g + x*y**4 + j*y**2 + q*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 331 + 3211?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -6*h - 515. Let w be h\/(-3) - 20\/(-30). Suppose 5*q = 13 + 12, 5*i - w = -5*q. Solve x = -5*j + i*j + 8, 5*j - 12 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + 8. Let m = -2 + g. Suppose -6 = 4*v - 3*i, -m*v + 4*v + 3*i - 6 = 0. Solve -w + 2*w + 3 = -2*k, v = -2*k + w + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 284*f + 3699. What is k(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 34 = -4*d, 5*s - 5*d = -1677 + 1632 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p\/(p*p**(-1)))\/p*p)\/(p**(4\/3)*p*p))\/(p\/(p**(-2\/3)*p))**28)\/((p**(-1))**7\/(p**(-5)*p*(p**(-2)*p)\/p)) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqoqeqqqqyeqoqqqeqe. Give prob of sequence oqqq.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 38\/(-7) - 21\/(52920\/1552).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6053746281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p**2 - 5*p + 5*p)*((-1 + 4 + 0)*(2*p - p + 0*p) + (-1 + 3 + 0)*(-4*p + p + 5*p) + 3*p - 2*p - 3*p - 3*p + 4*p + p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 117 - 73. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, -4, 8, -15 in increasing order.\nAnswer: -19, -15, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -4552159019.24 - 139?\nAnswer: -4552159158.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*i - i + 0*i)*(5 + 0 - 2) - 2*i - 2*i + i + (1 - 3 - 1 + (3 + 2 - 3)*(1 + 1 + 1))*(4*i - i + 0*i) - 3*i - 3*i + 3*i as a*i + b and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x + 27. Let l be r(8). Let f(t) = -5*t + 1. Let p(n) = -4*n. Determine l*p(u) - 2*f(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2d4 + -a3?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -5, -2, 13 in descending order.\nAnswer: 13, 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 633 divide 23837842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -633332*c - 20. Suppose 5*h = 4*q - 40, 5*q + 23 = -2*h + 106. Let f be j(q). What is f rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27045*r**2 - 534950*r + 534950*r.\nAnswer: -27045*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 282681 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.203, -0.3, -3?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -132, -1967, -7202, -17535, -34664, -60287, -96102?\n\"Answer: -283*n**3 - 2*n**2 + 152*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01974 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*n - n**5 + 13*n**5 - 20*n wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25675\/21 + -3637\/3. Let w*y**2 - 24\/7*y + 2\/7 = 0. Calculate y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from {e: 4, s: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 + 11. Suppose 15 = q - m - y, -2*m + 34 = 2*q. Let g be ((-1)\/3)\/((-2)\/q). Solve g*v - 5*p = -10*p + 10, -3*p = 3*v - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 19*u**2 + 27*u + 28. Let y(c) = 18*c**2 + 27*c + 24. Let w(x) = 3*j(x) - 4*y(x). Factor w(k).\nAnswer: -3*(k + 1)*(5*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 277795412 to the power of 1\/2, to the nearest integer?\nAnswer: 16667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 + 3*a + 4. Let s be p(4). Suppose s = -5*t + 20, -5*x - 5*t + 1 + 19 = 0. Let q = 1\/4 + 1\/4. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6bc770 (base 13) to base 15.\nAnswer: -35b547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 + 1)*(-40 + 40 - 48)*(1 + 2 - 5)*(-5*r - 5*r + 6*r).\nAnswer: -1152*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 35, 61, -3, -4 in increasing order.\nAnswer: -4, -3, 0, 35, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.084 - 7.076. Let w = -0.16 - q. Let b = w + -9. What is the biggest value in 0, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -160.58 and -0.11?\nAnswer: 160.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -4 + (-2 + (2*sqrt(1008) - sqrt(1008) - sqrt(1008)) - (sqrt(1008) - (-1 + sqrt(1008) + 0) - sqrt(1008)))**2)*5.\nAnswer: -360*sqrt(7) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -4194939 divided by 1398313\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(3\/5)\/h)\/(h**(-2\/19)\/h*h))\/(h**1)**(-2\/69) assuming h is positive.\nAnswer: h**(-1742\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 67.9264 decades to years.\nAnswer: 679.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -5. Let v be 16\/10 - (-6 + 7). What is the second biggest value in q, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -0.34, -10 in ascending order.\nAnswer: -10, -0.34, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*t + 4450 = 34*t. What is the remainder when t is divided by 83?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-2 + sqrt(242) + -2 + 3 + (-1*sqrt(2) + -1 - (sqrt(2) - (sqrt(66)\/sqrt(3))\/sqrt(11))))*6)**2.\nAnswer: -7200*sqrt(2) + 36720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4.66 * -1685\nAnswer: -7852.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 AM and 10:38 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**0)**8\/(c**(-3))**(-46) assuming c is positive.\nAnswer: c**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -476394, -476462, -476528, -476592, -476654?\n\"Answer: w**2 - 71*w - 476324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.295 times -278831?\nAnswer: -82255.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -511, -510, -507, -502, -495?\n\"Answer: j**2 - 2*j - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -a (base 14) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**2\/4 + 165315*g\/4 + 826425\/2.\nAnswer: 3*(g + 10)*(g + 55095)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -110121212121022 (base 3) to base 10\nAnswer: -6709427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -50 bigger than 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the third derivative of 0 - 1\/30*z**5 + 0*z**4 + 166*z**2 + 0*z - 1\/3*z**3. Give l(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -302.58, -254, 0.2, 0.3?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 2 - 5)*(0 - 2 + 3)*(d**2 + 0 + 0) to j*d + o*d**2 + l and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -9*t + 20. Let i = 2758\/15 + -184. Which is the smallest value? (a) i (b) t (c) -5\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -149 in -3, -1\/5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = -4*q - 44, 2*o - 32 = -4479*q + 4483*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 0*n - n = 57, 4*v - 4*n + 52 = 0. Let c be (-52)\/v - (18 + -14). What is the third biggest value in 2, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -62 + 96. Suppose -47 = -5*c + 43. What is the remainder when u is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50187997 to the nearest integer?\nAnswer: 7084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) 11 (c) -0.21 (d) -2\/9 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = 9*i + 96. What is the tens digit of 1222 + (12 - (1 - i))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 - 7)*(-4)\/6. Suppose -y*i + 35 + 37 = 0. Let k = i - 11. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23.340603 months in years?\nAnswer: 1.94505025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37954.\nAnswer: 2, 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4175*h**2 - 649 + 4170*h**2 - 11 + 340*h = 0.\nAnswer: 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t - 96 = -9*t. What is the tens digit of 390\/4 - t\/32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 737, 0.05, -0.4, -58, 0.4 in decreasing order.\nAnswer: 737, 0.4, 0.05, -0.4, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/12 - (-7)\/(-3). Let x(d) = -3*d**3 - 2*d**2 - d - 2. What is the tens digit of x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes before 10:06 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6536902 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 10 - -80a84?\nAnswer: 80a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -4*m**3 + 3*m**2 - 19*m - 4. Let i be b(8). Is (32\/28)\/4 + i\/(-14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of -k**5\/60 - k**4\/4 - k**3\/3 + 5*k**2. Is 3 a factor of o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/24 of a day in hours?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 78642973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 PM and 4:27 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 151*p + 1713. Is l(-10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - j - 4446, -v - 2*j - 20 = -907. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 14*f**2 - 10*f - 9. What is the remainder when 72 is divided by a(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 15 = 2*k, 7*k + 5*n = 6*k + 10. Solve -4*m - 4*t + 6 = -2*m, k*t - 3 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 136073 not equal to 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((3\/(-9))\/((15\/309)\/(-5)))\/((-3)\/9)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1 + 2)\/(-9 + 742\/84)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 + -3)*12\/(-20). Suppose -5*l = -7 - 8. Let n = q + l. Solve -3*z = 3*y, 3*y = -y + 2*z + n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -105 - -115. Let m(i) = f + 3 + 3 - 3 + i. Determine m(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes after 6:55 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 10317\/7 or 1475?\nAnswer: 1475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11.16 + -0.16. Let z = o - 13. Let a = z + -3. Put 4, -2, a in descending order.\nAnswer: 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, b: 3, j: 1, p: 2, d: 11}. What is prob of sequence djb?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 14098*n + 2*g - 7 = 14103*n, 5*n - 22 = -2*g - 2*g + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 0.5314, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(20\/12))\/((-486)\/(-90))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 152066221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 6176815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5\/40)\/(21\/2994). Let h = d + -186\/7. Let a = -15245\/1212 + -1\/202. Calculate the common denominator of h and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 718577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -584, -581, -578, -575, -572, -569?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 1)*(m + 1 - 2*m + 7).\nAnswer: m - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 31 times 0.44?\nAnswer: 13.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of -1\/55*o**6 + 141*o + 19\/66*o**4 + 0 + 152\/33*o**3 - 8\/55*o**5 + 48\/11*o**2. Suppose d(p) = 0. Calculate p.\nAnswer: -4, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1113)\/(-28))\/(2\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*i + 89*i + 80 = 48*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -5*y - 4*o, -5*y + 2*o = -o - 12. Solve -2*n - y = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1965136?\nAnswer: 2, 263, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 + 6*k**2 - 4*k - 3. Let l be a(5). Suppose -45 = 6*d - d. Let v be l*1 - (d + 8). Is 3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 - 7*h - 11. What is a(-11)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 20*c + 242. What is the least common multiple of g(-12) and 616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**11*b)\/b**(-5) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -15*k**3 - 21*k**3 - 10*k**3 + (2*k**2 - 1 + 1)*(1 - 1 - 2*k) - 3*k + 3*k**3 + 3*k.\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**3 - 2*h**3 + 3*h**3)*(-2*h**2 + 6*h**2 + 3*h**2) - h**2 + h**2 - 3*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 27539226, 55078453, 82617680, 110156907, 137696134?\n\"Answer: 27539227*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 423205 minus -299.7?\nAnswer: 423504.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = 3*c + 18. Let l = c + 9. Suppose -l = p - 5*a - 16, -p = -2*a - 4. Are -2\/3 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from addd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 + 0)\/(-30 - (-11 - 18)). Let k = 39 + -15. Solve b = -2*t - 5*d + k, 0 = -4*t - 3*d + 5*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes before 11:57 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -5563432 > -5563431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -10*g**2 - 16*g - 16. Let a be -1 - (3\/4 + 15\/12). Let y(n) = 2*n**2 - 5 - 4*n + 7*n + 8. Calculate a*o(c) - 16*y(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 10*m**3 - 11*m**2 + 10. Let y be 3 + (-34)\/12 + (-268)\/24. Let r(o) = -2*o**3 + 2*o**2 - 2. Give y*r(j) - 2*q(j).\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be -106 - 1\/(1\/3). Let a = h - -74. Let u = -19 - a. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c - c**3 + 3*c + 3*c**3)*(-5*c + 5*c - 2*c).\nAnswer: -4*c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -19*u + 9. Let l(g) = -9 + 6*g - g + 5 + 2. Let a(o) = 9*l(o) + 2*p(o). Let s(r) = 2*r. Calculate s(a(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8226437?\nAnswer: 139, 59183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-25)*(-235)\/(-188).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-22)\/55 - -1*(-60)\/(-25). Solve -10 = 5*k, p = -p - x*k - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.7791162 meters?\nAnswer: 779116.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 72 - 74. Let f(b) = -b**3 - b**2 - b. Let t = -20 + 19. Let j be f(t). Sort g, -1, j in decreasing order.\nAnswer: j, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-28))\/((-6)\/16)*6560\/(-8200)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/4 - 39\/12. Suppose -4*h + 2 = -2*h. Let n be (0 - h)*((-42)\/(-18) + -2). What is the third biggest value in n, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 117, 169, 251, 363?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 71 by 76.\nAnswer: 71\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -162.23 * 261\nAnswer: -42342.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(136) - -4*sqrt(136))*-4)\/(sqrt(800) - -3*sqrt(800) - sqrt(8)).\nAnswer: -20*sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 + -13. Let i = 134 - 134. Which is the third biggest value? (a) i (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -1\/3, -1, 0.5, 38, -0.5 in increasing order.\nAnswer: -9, -1, -0.5, -1\/3, 0.5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10\/8687 or 1?\nAnswer: 10\/8687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/2440534 and 47\/124.\nAnswer: 151313108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 37417.34 centuries to decades.\nAnswer: 374173.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -7*z**2 - 10*z + 23. Calculate g(4).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -33*g**2 + 2*g - 2. Let b(m) = 65*m**2 - 5*m + 5. Let p(y) = -y**3 + 6*y**2 + 32*y - 133. Let t be p(8). What is t*w(a) - 2*b(a)?\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 - -0.272?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the second derivative of q**5\/130 - 197*q**4\/78 + 9400*q**3\/39 + 30000*q**2\/13 - 2*q - 97. Factor n(y).\nAnswer: 2*(y - 100)**2*(y + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 264674?\nAnswer: 2, 59, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**30\/a*(a\/a**(3\/8))\/a)**(-18))**(-27))**(-48) assuming a is positive.\nAnswer: a**(-667764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3 - -7 - (-3 - 30\/(-6)). Sort s, -4, -14 in increasing order.\nAnswer: -14, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 2*c**2\/5 + 5116*c\/5 + 3271682\/5 = 0.\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 - 3*g + 15. Calculate s(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(-5)\/105*26\/26*3\/(-22).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26\/52*(-10)\/(-4)*-1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {g: 10, m: 2, w: 3, f: 2, s: 1, n: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 10830 = -2*o, -3*o + 7*o + 8135 = 3*l. Suppose 80 = -3*f + l. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - 2*r + 6. What is the smallest common multiple of 15 and f(3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -43*j + 10. Let r(n) = -84*n + 19. Let w(y) = -11*q(y) + 6*r(y). What is the derivative of w(p) wrt p?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wni when three letters picked without replacement from eewwwiwnn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*o - 262 - 284. Let g = o - 40. Let t = g - 51. Solve t*p = -5*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.34 and -291550.\nAnswer: -390677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 187356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -2\/5, -1461\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 95 - 90. Let u be (-2)\/5 + 1 - (-1127)\/(-1495). Which is the closest to u? (a) n (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-j**2 - 3*j**2 + 2*j**2)*(344*j**2 - 200*j**2 + 2 - 2) to c*j**3 + z*j + s + t*j**2 + f*j**4 and give f.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 108587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 3*b + 4. Let m be i(7). Let g = m + 28. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 2*v - 18 = 0, -3*v = 2*s + 9 - 4. Suppose 5*r = -4*u - 2, 0 = -2*u + 2*r + 3*r + 14. Sort 3, s, u in increasing order.\nAnswer: s, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6816, 0.5, -1\/35, 3\/7, -0.08?\nAnswer: -6816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2*w**3 - 9*w**2 - 7*w + 7. Let g(n) = -n**3 - 4*n**2 - 3*n + 3. Let u(q) = 2*q**2 + 5*q + 4. Let b be u(-3). Let z = -7 + 4. Give b*g(y) + z*j(y).\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1570 - -651. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 571810277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 8*o**2 - 60*o + 137. Let f be j(6). What is the highest common divisor of f and 3146?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n**2 + 15*n + 7. Calculate l(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 68 and 224094?\nAnswer: 448188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.22, -77, 3, 51, 4\/9 in descending order.\nAnswer: 51, 3, 4\/9, 0.22, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5343909816.\nAnswer: 2, 3, 7, 67, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h**2\/11 - 716*h\/11 + 8880\/11 = 0. Calculate h.\nAnswer: -370, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 114*v**2 + 1160 - 1160 - 120*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 43, -7, -0.5, -66, 4 in descending order.\nAnswer: 43, 4, -0.5, -7, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -9951.5207 to the nearest ten.\nAnswer: -9950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -3 - 2693654\nAnswer: -2693657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 36 greater than -1\/1748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 - (2 - (0 - -3)). Let j = -4 + 0. Put j, q, 5 in descending order.\nAnswer: 5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u**2 + 7. Let t(d) = -1. Let z(i) = -r(i) - 4*t(i). Let s be z(2). Calculate the highest common divisor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -49*g**3 - 6*g**2 + 5887*g + 5893. Calculate z(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 282011040 divided by 37.\nAnswer: 7621920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -12053 (base 6) to base 16.\nAnswer: -6e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4645312.\nAnswer: 2, 7, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 1618*m**3 + 1096*m**3 - 1478*m**3 - 2.\nAnswer: -2000*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12463 + 12696. Calculate the remainder when 6516 is divided by m.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = -5*v - 5*s, 0 = -4*v + 5*s + 8 - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -37*g**3 - 18*g**3 + 102*g**3 - 35*g**2 wrt g?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 327 a factor of 38277312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(99) - (-2*sqrt(99) + sqrt(99) - sqrt(99))) + sqrt(99) + -5*-2*sqrt(99))\/(5*(-4*sqrt(900) - sqrt(900)) - sqrt(900)).\nAnswer: -sqrt(11)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1498*-163.\nAnswer: -244174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1.11, 34, -2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -2*a**3 + 78*a**2 - 16*a + 660. Determine c(39).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j\/j**(-2\/11)*j))\/(j*(((j**8*j*j)\/j)\/j*j)\/j))\/(j**(1\/3))**(1\/9) assuming j is positive.\nAnswer: j**(-3035\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 69499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169397 - 693375 = -20*b + 263242. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/448 and -121\/7872.\nAnswer: 55104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 + 14*d**2 - 16*d - 11. Calculate the lowest common multiple of 4 and m(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -43910616256 minus 0.8?\nAnswer: -43910616256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/82 and 31\/24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10989)\/555 + 19)\/((-24)\/2910).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -37.6 - -34.6. Let g = -45.83 - -46. Which is the second smallest value? (a) g (b) 4 (c) 3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 6. Suppose d*m - 6*f + 3*f - 1 = 0, -5*f - 3 = -3*m. Is 19 a factor of m + 7 + (-38)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 4*z - 14, 4*u = -5*z + 25 + 12. What is the greatest common factor of z and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {q: 7, n: 2, h: 1, u: 1, y: 8}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 6\/24 - (-68)\/(-16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2770*i**2 - 3*i**3 - 1382*i**2 + 4*i**3 - 1390*i**2.\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-26)\/4)\/(4\/(-8)). Suppose -3 = -4*u + g. What is the least common multiple of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 73440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/2 - (-3 + 0). Let i be (t + -3)\/((-2)\/2). Suppose 5 = i*p - b, 2*p + 3*b - 4*b + 1 = 0. Solve -p*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12785, -25335, -37885, -50435, -62985?\nAnswer: -75535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/11722486 and 19\/20.\nAnswer: 117224860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-188)\/(-12) - 1\/(-3). Suppose -s - s = z. List the prime factors of (14\/s)\/(15\/(-540)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 1:37 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - y + 414 = 0, -11*a - 398 = -10*a + 3*y. Let q = a - -427. Solve 3 = -4*z - q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4064*x + 9348 + 39480 + 82915 = 1695 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 159807 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h**2 - 17*h - 110 = 0. Calculate h.\nAnswer: -5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 5. Let k = 8 - -1. Suppose 5*a + 4*l + k + 32 = 0, -3*l = -2*a + 2. What is the nearest to -2\/7 in a, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11\/11*(-8)\/(2\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 4.574776 decades?\nAnswer: 0.04574776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*g**2 + 21*g**3 - 24*g**3 - 14*g**2 - 13*g**5 - 26*g**2 wrt g?\nAnswer: -780*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4909302 is divided by 158.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -4*u**2. Let q(r) = -147*r - 53. Give q(g(a)).\nAnswer: 588*a**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2994 - 2418. Calculate the highest common divisor of 240 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) 0.1 (c) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 28 and 1892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s**2 + 0*s + 9*s - 2*s + 15*s + 2*s.\nAnswer: -3*s**2 + 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 27, 80, 185, 360?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of z**4\/6 - 5*z**3\/6 + 6*z**2. What is the units digit of y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/12 - (-51)\/(-4). Let g = r - -15. Suppose 105 = g*w + w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2141571 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8873 + -8869. Calculate the lowest common multiple of 2614 and v.\nAnswer: 5228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - 2*b + 3*b)*(-5 + 0 + 3) + (4 - 4 + 1)*(40*b - b + 0*b).\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -10 less than 2648?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 45 = -5*m, -3*b - 9 = -6*b. Let o be 255\/11 + 8\/(-44). Let f = o + m. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 122 = -w + 121, 5*b - 24 + 39 - 16 = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -238728 less than -158983797?\nAnswer: -158745069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dye when three letters picked without replacement from eyd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -64*g + 22*g**3 + 57*g + 5*g**3 - 13*g**3 + 11*g**2 - 4*g**2 + 7. Let r(m) = 7*m**3 + 4*m**2 - 4*m + 4. What is -4*k(t) + 7*r(t)?\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*o + 36*q + 103, -43*o - 3*q - 14 = -104*o + 30*o + 36*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 7563 by 3.\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 7502152.17 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 137 + 21)*(305 - 23*m - 305).\nAnswer: -3680*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 27896054 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11169 + 3775 = -2*t. Let x = 66695\/18 - t. Find the common denominator of x and -21\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -12*o**3 - 8*o**2 - 7*o - 1. What is the hundreds digit of u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -9848*r**2. Let i(t) = t. Give f(i(q)).\nAnswer: -9848*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**2 - 1. Let w(h) = -3*h**2 - 13*h - 11. Let v(t) = -2*b(t) + w(t). Is v(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 840 and 15.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 63, 156, 249, 342?\n\"Answer: 93*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 9*d**2 - d - 20. What is x(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -6627 times 0.2\nAnswer: -1325.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1914\/5 + 383. Let q*o + 2\/5*o**2 + 1\/5*o**3 + 0 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 271918\/59479 - 2\/8497. Calculate the common denominator of 127\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -918.002808 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*j - 34 = -7*i + 2*j, 5*i - 29 = 3*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 308200801 to the power of 1\/3, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*g**4*z - g**2*k**2*z - g**2*k*z - g*k**2 + 4*g*k*z - g wrt g?\nAnswer: -108*g**2*z - 2*k**2*z - 2*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15193 - 15192.9. Let i = 0.6 + -1.1. Which is the closest to s? (a) -4 (b) -5 (c) i (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -28755319*z + 55864772 wrt z?\nAnswer: -28755319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 + 13*v**2 - 13*v + 7. What is j(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 divided by -282996.\nAnswer: -5\/141498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 431756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*q - 9 + 7*q - q + 28*q + 1 to the form l*q + t and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o*(o**2*o)\/o)\/((o\/o**(-5\/2)*o*o)\/o) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -0.3, 3, -27.\nAnswer: -27, -6, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 35 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**3 + 20*z**2 - 14*z + 6. Suppose 5*t + 4*v = 79, 2*v = 3*t + 3*v - 46. Let f be (-9)\/t - 496\/40. Is m(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -226, 1015, 22 in increasing order.\nAnswer: -226, 22, 1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4.87 + -0.13. Let f = 0.03 - 1.03. Let v = 1 - f. Which is the nearest to 0? (a) l (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 877, 876, 875, 874, 873?\n\"Answer: -c + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -41*s - 3. What is the tens digit of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(-18) + (195\/18 - 0). Suppose 208*l - 209*l = -y. What is the remainder when 21 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -8*w - 18*w**4 + 16*w**2 + w**3 + 0*w**3 + 5*w**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 10110011011100 (base 2) to base 8\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be -5*((-2180)\/(-25))\/(-1). Suppose 2*k - 478 + b = 0. Is 0.2 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(-20)*1\/(-6))\/((-24)\/(-96)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 741 and 2572428183.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 14 = q, 0 = -q - 2*h - 18 + 46. Solve -15*m = -q*m - x + 3, -2*x = 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80240*-0.3.\nAnswer: -24072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 + 162*d**2 + 16*d + 2582. What is g(-162)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -63 divided by 53?\nAnswer: -63\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -393\/4 - -99. Let y = 4 - 4. Let d = y - 0.1. Which is the third biggest value? (a) d (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -c**7\/126 + 2*c**6\/45 - c**5\/15 - c**4\/18 + 5*c**3\/18 - c**2\/3 + 10*c. Let d(o) = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22386790 and 58205654.\nAnswer: 291028270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/12*1*2\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 7301120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 140*s**2 - 2. Let m be (14\/(-8))\/7 - 9\/12. Does 23 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47432.93ms in microseconds?\nAnswer: 47432930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -106085.4 rounded to the nearest one hundred?\nAnswer: -106100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (35 + 2 - (31 + -27)) + -12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1130 - 950 - 1874 - 317)*(-4*u + 0*u + 2*u)*(u + 0 + 0).\nAnswer: 4022*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2328783049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(156)*-4)\/((sqrt(72) + (sqrt(72)*-1 - sqrt(72)))\/sqrt(6)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -16 (base 7) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*p = -32*p - 4*z - 388, p + z = -191. What is the nearest to p in 5\/2, -2, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 5.2143056 and 0.499.\nAnswer: 5.7133056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7960 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 120, 260, 400, 540, 680, 820?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 5*t + 8. Let j(k) = k + 2. Let n(i) = -9*j(i) + 2*x(i). Suppose -18*y = -10 + 118. Let u(o) = -o + 3. Let b(l) = y*u(l) - 7*n(l). Calculate b(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -70*u - 20. Suppose 3*f - 5 = -5*b - 16, b + 1 = -f. Let l(z) = 10*z + 3. Calculate f*a(n) + 20*l(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*z - 4*q - 8 - 0, -4*z + 5*q = -1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-748714)\/2318*(-5)\/(-17)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*d, 4*u + 2*d - 12 = 5*d. Suppose 5*x + 0*x - 60 = u. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*l - 3*i - 2*i, -6 = -3*l + 4*i. Suppose -4*d + 5*z + 63 = -55, 3*z = -l. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17536.04 seconds in microseconds?\nAnswer: 17536040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -35 (base 13) to base 10\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6*a**2*c - 8*a**2 - 17*a*c + 179*c wrt a?\nAnswer: 12*a*c - 16*a - 17*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -6 != 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -23 + 32. Suppose -x + 2 = -u. Solve -v - 5 = -0*v + 3*n, -5*v + 3*n = -x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7474 and 2406628.\nAnswer: 2406628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**3 + 7*h**2 + 2*h + 10. Let c be x(7). Suppose -c = 6*s - 2*s. Let a = s + 11. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 410.03212 - 410. Round b to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2420604772 to the nearest integer?\nAnswer: 49200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 367289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2635*0.4\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of -k**6\/30 + k**5 + 125*k**4\/8 + 250*k**3\/3 + 2049*k**2. Let q(f) = 0. What is f?\nAnswer: -5\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-372)\/(-310))\/(4\/10). Let u(k) be the third derivative of -4*k**2 - 1\/12*k**4 + 1\/6*k**d + 0 + 0*k. What is the first derivative of u(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95467 is divided by 3526?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8376928 divided by 1047116.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 25*z + 2860. Let h be x(-97). Which is the nearest to -0.1? (a) 1\/3 (b) h (c) 3\/5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 = 2*o - 5*s, -o - s = -2*s - 62. Let m(t) = t**2 - 3*t - 6. Let j be m(6). Calculate the greatest common divisor of o and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 9 = 3*f. Let r be (-6)\/f + (-32)\/60. Let s = 4.93 - -0.07. Which is the third biggest value? (a) r (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71822 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 64*h**2 + h - 1. What is b(1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wxz when three letters picked without replacement from {x: 1, z: 1, y: 2, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 378564276 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2986 + -2954. Calculate the greatest common factor of 96 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 0, -14, -28?\n\"Answer: -14*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/(i*i\/i**(2\/15))*i*i\/i**(-6)*i*i*i**(5\/2)*i*(i\/((i**4*i)\/i))\/i*i\/(i*i**(-2\/27))*i**4*i**(-9\/5)*i**(-2\/7)*i assuming i is positive.\nAnswer: i**(4393\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, -2, 2, 17, -46 in ascending order.\nAnswer: -46, -2, -1, 2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -259432, -259453, -259474?\nAnswer: -259495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 2*r**3\/7 - 4*r**2\/7 - 22*r\/7 + 24\/7 = 0. Calculate r.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 103176 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 2 + 2*f + 2)*(-2 - f**2 + f**3 + 2) to the form l*f**3 + n + o*f**2 + s*f**4 + u*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(88)*1*-1 + (sqrt(88)*-2 - sqrt(88))*-6)\/((sqrt(8) - sqrt(72))*-4*6))**2.\nAnswer: 3179\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -36*j + 21. Let d(i) = -23*i**2. Give x(d(k)).\nAnswer: 828*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/x**4)\/x**4*(x**1\/x)**(-1\/64))\/(x**0*x**(-3)*x**(1\/3)*x**5\/x) assuming x is positive.\nAnswer: x**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -43, 28, -22, 0, 1\/11 in increasing order.\nAnswer: -43, -22, 0, 1\/11, 1\/5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.4 + -3.6. Let i be (-33)\/(-22)*24\/(-18). Which is the nearest to 1? (a) 3\/2 (b) i (c) x (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t**4 - 131174*t**3 + 349830*t**2 - 218650*t = 0 for t.\nAnswer: -21865, 0, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 6666 divided by 6\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + d**2 - 103*d. Determine j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 46 and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 36*i - 12. Suppose -5*x = -11 - 29. Let w be h(x). Let t = w - 192. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*w + 139 = -112*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, 2, -144, -1, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 8 + 2 = 0. Let v(a) = a**3 - a**2 - 1. Let y be v(j). Suppose -y*h + 7 = -14. What is the remainder when 12 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -50.9 - -41.061. What is j rounded to 1 decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = s - 0*s. Let u = 61 + -43. Let d = s + u. What is the highest common factor of d and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2665307600 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*i**3\/7 + 172*i**2\/7 + 332*i\/7 + 164\/7.\nAnswer: 4*(i + 1)**2*(i + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is o in 150*o**4 + 405*o**3 - 171*o**2 - 96*o + 36 = 0?\nAnswer: -3, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 - 22*w + 512. Does 5 divide b(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**0)**(-49))**(-1\/47)\/(s**(4\/5)\/s*s\/(s*s*s**(-4\/11)))**(3\/13) assuming s is positive.\nAnswer: s**(138\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 9:05 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of -a**5\/60 + a**4\/4 + 3*a**3 + 12*a**2. Let o be b(8). Suppose -12*s - o = -11*s. Is -3\/5 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = -4*f, -4*f + 62*w - 65*w = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 342\/(-8) + 6\/8. Let x = r - -66. Suppose 18 = d - 52. What is the remainder when d is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**5)**(2\/17))**(-1\/69) assuming c is positive.\nAnswer: c**(-10\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2770*o - 65120 = -4250*o for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 61*h**6*s - 9*h**3*s**3 - 1581*h**2*s**2 - h*s**3 wrt h.\nAnswer: 7320*h**3*s - 54*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 + 287*r + 4533. Let y be o(302). Determine t, given that -5\/2*t**y + 27*t + 33\/2*t**2 + 8 = 0.\nAnswer: -1, -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 3*m = 0. Let i = m + 4. What is the third derivative of 4*q**2 + 108*q**4 - 4*q**5 - 108*q**i wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -41\/3 + 14. Let k(p) be the first derivative of 2\/5*p**5 + 0*p**4 + 1 + 0*p**2 - g*p**3 + 0*p. Find the third derivative of k(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-15 - (-12)\/(-3))\/(-14). Let r = 62\/7 - x. Factor 1\/2 + 7\/2*v + 9\/2*v**3 + r*v**2.\nAnswer: (v + 1)*(3*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*f + 1586 = 10*f. Suppose 3*g + 42 = 345. What is the remainder when g is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 233 - 151. Let r be -1 - (-53 - -3)\/(-1). Let f = b + r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + 4. Suppose -5*b - 523 = -3*o, i*b - 355 = -6*o + 4*o. Let u = o - 104. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in 3*r**4\/4 + 111*r**3\/4 + 279*r**2\/4 - 17319*r\/4 - 17457\/2 = 0?\nAnswer: -23, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -4*d - 26. Suppose 0*j - 8 = 2*j. Let s be c(j). Are s and -9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 4851 = -2*m + 4901, 13 = m - 5*t for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 10 + -16 + (3 - 8 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15947924.89999936 - 15947840.9. Let z = m + -84. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -312*d**2 - 21*d - 21. Let g(r) = -31*r**2 - 2*r - 2. Let v(l) = 21*g(l) - 2*z(l). Let h(j) = -3*j. What is v(h(k))?\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - 17) + 0 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00623695094 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 33\/4, 1, -0.3, 2\/5, -0.9 in descending order.\nAnswer: 33\/4, 1, 2\/5, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -7*j + 7. Let i be t(5). Let c be 77\/i*(0 + -4). Suppose -3*v = -10 - c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6 - 0.07149?\nAnswer: -0.67149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99 = -9*d + 21 + 150. Solve -2 = -t + s, -4*t - t = 5*s + d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of -3*l**7\/70 - l**6\/60 + 17*l**4\/8 + l**3\/6 - 22*l**2 + 6. What is the second derivative of g(b) wrt b?\nAnswer: -108*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 40649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 51.742*0.6\nAnswer: 31.0452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33 + 0 - m + 8*m**3 - 166*m**2 - 6*m**3.\nAnswer: 2*m**3 - 166*m**2 - m + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21\/10 or 40?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/8*o**2 + 0*o + 3\/2.\nAnswer: -3*(o - 2)*(o + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6.23 - 0.27. Let l = 6 - o. Let f = 0.2 - 0.1. Which is the second smallest value? (a) f (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 2 + 4)*(-t**2 - 7*t + 1 + 7*t) to z*t**2 + n + f*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-3\/4)\/f*(f*f**1)\/f)**1*(f*f**(-2\/3)\/f*f*f*f*f**(-1\/6))**(7\/2) assuming f is positive.\nAnswer: f**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.5 - 1.7. Let o = 1.2 + f. What is the biggest value in o, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 AM and 1:12 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 5.175522ml?\nAnswer: 0.005175522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -134*c + 296*c + 282 - 152*c in the form d*c + p and give p.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/27)\/o**(-7))\/(o**(8\/5)\/o**(1\/3)) assuming o is positive.\nAnswer: o**(764\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is (-8)\/12 - 114\/(-9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*q + 92*q - 55*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/6 and 5\/176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 44994949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3054899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {v: 1, n: 1, z: 4, f: 3, b: 5, a: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the first derivative of 4 - 8\/3*j**3 + 0*j**2 - 6*j + 1\/15*j**6 + 2*j**4 - 3\/5*j**5. Let h(d) be the first derivative of f(d). Factor h(i).\nAnswer: 2*i*(i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 4*t - 5. Let f be ((-180)\/(-27))\/(4\/678). Is t\/(-6) - f\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 3*o = 3054 - 835, 2*o = 2*y - 1134. Is 3912\/7 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 82279, 164555, 246831, 329107, 411383, 493659?\n\"Answer: 82276*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 123 + -91. Calculate the smallest common multiple of v and 76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -19*k. Let q(c) = -2093*c. Calculate x(q(v)).\nAnswer: 39767*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 86841291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/5 + 1791750*r - 8958752\/5.\nAnswer: 2*(r - 1)*(r + 4479376)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-3\/4)*o*o\/(o**3*o)*o)\/((o**(1\/5)*o)\/o*o*o**(2\/21)) assuming o is positive.\nAnswer: o**(-229\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/80*-14*5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 7 (b) -1\/3 (c) 10 (d) -2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 23, 112, 395, 986, 1999, 3548, 5747, 8710?\n\"Answer: 19*o**3 - 17*o**2 + 7*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 15\/6*12\/5. Suppose r*c + 0*c - 48 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 8*l + 26. Suppose -5*o = 8*y - 13*y - 42580, -l*o = 4*y - 17044. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14842014 (base 9) in base 12?\nAnswer: -2593634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -13) + (-37645)\/3375 + 62\/837.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 + 3*u**2 + 5*u - 86. Is p(12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22729*n**3 - 102026*n**2?\nAnswer: 136374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 16*l**2 + 48*l - 46. Let f = 193 - 204. Let d(o) = -30*o**2 - 94*o + 91. Let n(h) = f*t(h) - 6*d(h). Factor n(g).\nAnswer: 4*(g - 1)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/(-12)*(-83 - -1). Let a = -45 - f. Sort 0, -5, -1, a in ascending order.\nAnswer: -5, a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16.2 - 16. Which is the second biggest value? (a) h (b) 1\/23 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes before 3:51 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*y**3 + 91546*y**2 + 29*y + 466 wrt y?\nAnswer: 12*y + 183092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6\/25 + -17\/75. Let l = t + 19\/105. What is the second biggest value in l, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, q: 4, n: 1, s: 4, t: 8}. Give prob of picking 1 t and 1 q.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -173*n**3 - 6*n**2 + 122*n + 104 wrt n?\nAnswer: -1038*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2973, -5948, -8923, -11898, -14873?\nAnswer: -17848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, 0, 1\/11, 1\/5, -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10669*-37.\nAnswer: 394753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 - 3*y - 8. Give o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -240, -826, -1968, -3852?\nAnswer: -6664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -94.82 - 1.18. Let p = 95.999828 + h. Round p to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79.9 minus -5?\nAnswer: 84.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 6060*c - 845. Let y(j) = 551*j - 78. Give 6*d(b) - 65*y(b).\nAnswer: 545*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2360 - 2360.3932. Round q to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -44*i**4 + 77672*i**5 - 38842*i**5 - 38840*i**5 - 2 + (-4*i**3 + 4*i**3 + 2*i**3)*(i**2 + 2*i**2 - i**2).\nAnswer: -6*i**5 - 44*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**1\/((f**(-10)\/f)\/f))\/(f**(-7)\/f*(f\/f**(-5\/3))\/f*f))**(-10\/9) assuming f is positive.\nAnswer: f**(-550\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*n - 40*n + 28*n + 1258 = 5*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(119)\/(sqrt(7)*-1) + 0.\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -9244524, -9244523, -9244520, -9244515?\n\"Answer: p**2 - 2*p - 9244523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -o - 668, 5*i + 0*o = 2*o + 835. List the prime factors of i.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 6*w**2 + 5*w. Let o(i) = 55*i**2 + 44*i. Let l(t) = 44*f(t) - 5*o(t). Let d(v) = -2*v**2. What is l(d(u))?\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 11744703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3*(-260)\/(-2610)*4\/24 and -101\/464.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**22\/y*y*y\/(y**3\/y)*y*(y**9*y)\/y**(-28))**25 assuming y is positive.\nAnswer: y**1500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 1 - 5. Let h be 200\/3*(-15)\/o. What is h rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 12*k - 6. Let f(r) = 2*r**2 - 19*r + 22. Let g be f(1). Let y(w) = -11*w. Let s(a) = 11*a - 1. Let i(q) = 5*s(q) + 4*y(q). What is g*c(m) - 6*i(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -2\/665 (b) 3\/8 (c) 17.7 (d) 42 (e) 3 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, l: 4, b: 9}. Give prob of sequence qbbl.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 12699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -38*(-765)\/(-900)*6\/(-51)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 22*v + v - 897. Solve -53 = -7*t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.3 - 8.7. Let n = -34 + 35. What is the closest to n in 1, -4, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**4 + 1932*m**3 + 20910*m**2 + 12852*m - 279153.\nAnswer: 3*(m - 3)*(m + 7)**2*(m + 633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 10 = 6*o - 4*o, -1 = -5*r + 3*o. Let c be 4\/20 - r\/20*2. Factor c + 1\/3*z**3 + 0*z + 1\/3*z**2.\nAnswer: z**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 - 2*f**2 + 4*f - 4. Let h be s(2). Let r(j) = -h + j + 6 + 2*j. Let i(v) = -v - 1. What is 2*i(a) + r(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -2*d**3 + 153*d**2 + 1 - 156*d**2 + d**3 + 1 in the form t + s*d**2 + o*d**3 + n*d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times 5726?\nAnswer: -5726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.27824 + -23.78276. Let u = q + 24. Let l = u - -0.131. Is l at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 - 120?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 226 divided by -2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24 + -19. Let r be 104\/z - (-2)\/10. Is -2\/5 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjkalljatkjllj. What is prob of sequence ljak?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -25*s - 83. Let t be x(11). Let c = t + 3224\/9. Let 0*f + 2\/9*f**2 + 4\/9*f**3 + c*f**4 + 0 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(((-10)\/4)\/(-5)). Solve 0 = 5*a + 2 + 8, i*a = 4*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (636\/(-16))\/(-1 + (-10)\/(-16)). What is the greatest common factor of 74 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 17*w - 39. What is the remainder when i(7) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + l**2 + 6*l - 2. Let z be f(4). Let n = z - 442. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {b: 1, x: 2, w: 1, s: 7, e: 2, p: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 24 + -23.5. Let h = -3.5 - f. What is the third biggest value in h, 2, -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -228*i + 1. Let v(n) = 684*n - 2. Let s(x) = 8*c(x) + 3*v(x). Is s(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*g - 2*g + 0*g)*(0*g + 4*g - 6*g)*(-19 + 7 - 28)*(1 - 1 + 2*g).\nAnswer: 800*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 954745151 minus 12.286?\nAnswer: 954745138.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 8, v: 3}. What is prob of picking 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 3*b = 2 + 4, -3*f + b - 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 26*t - 1. Let k be m(0). Let y(v) = 16*v + 3. Let g(r) = -r + 1. Let i(f) = -3*g(f) + y(f). What is i(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -97 + 52. Let a be (-15)\/(-10)*4\/w. What is the biggest value in -0.2, a, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1534 times -15391?\nAnswer: 23609794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (49\/(-7) - -12)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 11 = -17. Suppose -3*z - z = -5*o + 28, k*z = 4*o - 22. Solve -4*u + 2*u + 4*t - o = 0, -5*u - 2*t + 26 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q be (8 + -5)\/((-3)\/5). Let n(b) be the second derivative of b**3\/6 + 6*b**2 - b. What is n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 10 = -2*q, b + b - 2*q - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 14025148211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 3994?\nAnswer: 31952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 677, 1378, 2105, 2858?\n\"Answer: 13*h**2 + 662*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1881 - 3562. Let u = z + 5044\/3. Factor -u*f**2 - 26\/3*f - 169\/3.\nAnswer: -(f + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*k**2 + 6*k**2 - k**2 in the form v + u*k**2 + y*k and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o - 23. Let u be g(11). Let l = -35 - u. Which is the nearest to 2? (a) -0.2 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -4*n. Let c(o) = -10*o - 91. Let g be c(-10). Let r(j) = -26*j - 13*j + g*j. Give r(h(a)).\nAnswer: 120*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1\/147 + 16\/49. Factor 0*x + 0 - 1\/3*x**2 - i*x**3.\nAnswer: -x**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/3))**(2\/61)\/((f**(-2\/3)\/f)\/f*f*f**(1\/3))*((f**(4\/5)\/f)\/f**1)\/((f*f**3)\/(f*(f*f\/(f\/(f\/f**(-8))*f*f))\/f)) assuming f is positive.\nAnswer: f**(1254\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -410001*f + 3. Let w be q(3). Round w to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, -2, -4, 8, 0, 197 in decreasing order.\nAnswer: 197, 18, 8, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 16 = -3*v, -6 = 22*m - 23*m + v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/(-2))\/(24\/(-272)). Let p = 8 + w. Let q = p - -38. Solve 3*t - 3 = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, 2\/9, -2\/9, 1.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = 4*u - 6*n, 3*u + 11 = -u + 3*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of -g**2\/2 - 4*g - 2. Let w be d(6). Is (-1329)\/(-15) - 4\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 - -25. Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1761*r + 18435 + 4458 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 30 + -6. What is the remainder when 67 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -13, 25, 3, 0, -2, 158 in decreasing order.\nAnswer: 158, 25, 3, 0, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -96*s - 1219. Let g be i(-13). Solve 17*o = -73 - g for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.5, 24, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -12*n**2 + 19365*n - 33852 = 0.\nAnswer: 7\/4, 1612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:45 PM and 7:55 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1083*g - 215*g**2 - 1744*g**2 - 81*g**2 + 2731*g wrt g.\nAnswer: -4080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.022 + 0.218. Which is the smallest value? (a) 1 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 12*t**3 + 5*t**2 - 1234*t - 4. Let l(u) = 7*u**3 + 3*u**2 - 618*u - 2. Determine 5*l(a) - 3*m(a).\nAnswer: -a**3 + 612*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 801 - 796. What is the closest to -4 in 4\/9, 2, a, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p - 37. Let c be d(-12). Let m(b) = -5*b + 10. Is m(c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 + 3*g + 1. Suppose -4*v = -y, -5*v + 8 + 1 = y. Suppose -y*i + 2 = -5*i. What is a(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c - c + 2*c)*(-104*c**3 + 232*c**3 - 111*c**3).\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13435?\nAnswer: 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fdlmy. Give prob of sequence df.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(143) - -2*-1*sqrt(143) - (-4*(sqrt(143) + 2*sqrt(143)) + sqrt(143)))\/((sqrt(11) - (sqrt(77)\/(sqrt(14)\/sqrt(2)) - sqrt(11)) - 6*sqrt(99))*-6).\nAnswer: 20*sqrt(13)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -82.5 times 333?\nAnswer: -27472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**2 + 4*c - 6. Let j be p(4). Let v be 8*(-129)\/j*-25. What is v rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*u**3 - 1438168*u**2 - 447241048*u + 99457920 = 0.\nAnswer: -310, 2\/9, 80208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 411954.3nm?\nAnswer: 0.0004119543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -i**3*m + 964300*i**3 - i*m - 384307*m wrt m?\nAnswer: -i**3 - i - 384307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 24 = -r + l, -4*r = -3*l - 31. Suppose -r*i + 20 + 52 = 0. Solve -2*x + i - 3 = -5*o, -3*o - 9 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 10:33 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, o: 1, s: 1, f: 1, r: 4}. What is prob of picking 1 s and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 14 + (7 - 61) - -30\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 3875*p - 3875*p + 135*p**2 - 34*p**2 + 0*p**2 to the form z*p**2 + u*p + w and give z.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -7 - 7556*l + 2187*l**3 - 14*l**2 + 7569*l - 2186*l**3. What is t(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12551501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 2*w - 4952 = 0, 4*w = 46*q - 51*q + 24742. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 4*s = -166, 5*u = -s + 232 + 147. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kattck. What is prob of sequence tck?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -74*g - 658. Calculate a(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-35))\/(58\/145) + 52\/14. Let f = -429 - -699. Suppose -o*h + f = h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5 - 1)*(-840)\/(-16). Let h = 565 + t. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -41 (base 8) to base 3.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 + 0 + 0\/(-5 + 1). Let a = 2 - d. Suppose -6*t + a*t = -42. Solve -30 + 9 = -5*z + 2*f, 3*z - t = 4*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.39 + -0.59. Sort 4, 0, 0.5, n.\nAnswer: n, 0, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 2*z**3 - 54*z**2 - 650*z - 13. Give a(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/14 - -1 - 917\/(-49). Solve -2*s = -o + 12, 0 = 2*o - s - 2*s - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w**2 + 4020*w + 25419856 = 0 for w.\nAnswer: -2068, 3073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 82822 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = 5*p - 3*v, 5*p = -2*v + 90 - 32. Let l = 109 - -1. Calculate the highest common factor of p and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 5*l**2 - 2*l + 4. Is h(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -0.2, -0.114, 2\/243 in increasing order.\nAnswer: -1, -0.2, -0.114, 2\/243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - r = 5*y - 14, 2*y - 2 = -3*r. Suppose 0 = y*t - 4*x - 20, 5*t + 5*x - 26 - 9 = 0. Let q(c) = 8*c - 1. Does 22 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2511 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1120 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:58 PM and 2:18 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*h**2 + 47 + h**2 - 46 to the form p*h**2 + w*h + r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -56 - -57. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 331 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 113033 (base 4) to base 7\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2397 is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be 7814\/(87*(-6)\/2160 - 6\/(-16)). Let j(o) = -o**3 + 4*o**2 + 6*o - 6. Let q be j(4). Suppose -3*d - a = -q*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6424144 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14111 = 34*y - 81667. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (1 - -4) + 2504\/(-320) and 113\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**5 + 6*q**4 + 44*q**3 - 148*q**2 + 150*q - 50 = 0.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10 + 4*f - 10)*(f**2 - 3*f + 3*f) - 4*f**3 + 2*f**3 - 4*f**3 to the form v + y*f**3 + i*f**2 + n*f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 383229688.\nAnswer: 2, 31, 313, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5112.65 - -5094. Which is the second smallest value? (a) 2 (b) g (c) -5 (d) 2\/5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -7 (b) -3.91 (c) -2\/7 (d) -0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**2*z**3 + i**2*z**2 - 509*i**2*z + 4*i*z - 437776*z**3 + 837*z wrt z?\nAnswer: 6*i**2 - 2626656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 31 = -1. Let j be 322\/6 + o\/24. Find the third derivative of -12*c**4 + 104*c**3 - j*c**3 - 51*c**3 + 4*c**2 wrt c.\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1883136 divided by 768?\nAnswer: -2452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, -0.2, -1\/11, -0.4 in descending order.\nAnswer: 0.05, -1\/11, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**2 + 165*f + 427 + 739 + 308*f - 118*f - 816.\nAnswer: 5*(f + 1)*(f + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -84*u**5 - 1472*u - 1?\nAnswer: -1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 PM and 6:38 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -76. Suppose 91*k = 98*k - 140. Calculate the remainder when a is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 175695330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 11*h**2 - 725*h - 2667. Give m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -45 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 400146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -0.1, 0.2, 4 in descending order.\nAnswer: 4, 0.2, 2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.86 - -3.76. What is the biggest value in -1, x, 0, -370?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 3*z - 6 = -6, -3*o = 4*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4411*c + 4394*c + 98 + 21 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 1 - 45*f**2 + 25*f**2 + 35*f**3 - 25*f**3 + 4*f + 19*f**2 in the form i*f**3 + k*f + p*f**2 + y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - 6)\/((-1)\/5). Let h = x + -12. Suppose -2*c + 48 = 2*c. What is the highest common divisor of c and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7*1*2)\/(((-570)\/399)\/(255\/238))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 261 and 153.\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)\/(sqrt(4)*-2) + (sqrt(76) + 1)**2.\nAnswer: 7*sqrt(19)\/2 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 2 u, and 1 v when four letters picked without replacement from {c: 2, o: 2, u: 3, j: 4, s: 2, v: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c - 30 = -2*c. Let m = 300 - 296. What is the lowest common multiple of 1 and 210\/18 + m\/c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*h - h - 3*h)*(-1 + 3 - 3) - 3 + 0 + h + 5 to the form d*h + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 147011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -49859979 by -481.\nAnswer: 103659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (1 - (1 + 0) - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 2.8 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/2*-18*(-19)\/(-513).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -321*f**4 + 12*f**5 + 719*f**4 - 343*f**4 + (-1 - 2*f**2 + 1)*(f**3 + 0*f**3 + 0*f**3).\nAnswer: 10*f**5 + 55*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-531.\nAnswer: 212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.1, 2, 11\/3, 1\/2281, 1.1?\nAnswer: 1\/2281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/(-5)*(-4)\/12.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1950\/56810*46)\/(12\/608)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3446?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*x**3 - 12*x + 73 wrt x.\nAnswer: 6*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 34.5 + -38.5. Let x be 2\/6 + (-4)\/(-6). What is the nearest to 0 in x, 1\/7, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -99, 1, 2, 44 in decreasing order.\nAnswer: 44, 2, 1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {v: 10, n: 2, q: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 17*f**2 + 4*f. Suppose 0 = 7*j + 11 - 11. Suppose j = 4*s - 3*s + 6. Let q(m) = 9*m**2 + 2*m. Let i = 25 - 14. Give i*q(a) + s*w(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/5, 15, -69, -1, 26?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - -1. Suppose 0 = -g*c - 0*c. Solve 3*a - 3*h - h - 5 = c, 3*a - 5*h - 7 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 > 379239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51330?\nAnswer: 2, 3, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sum 1864742 and 329.\nAnswer: 1865071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.49 - -7.49. Let l = -67 + 74.4. Let k = l - y. Put 4, k, 0.2 in decreasing order.\nAnswer: 4, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -278*s**3 - 291*s**3 - 292*s**3 + 856*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -3*r**3 + 48*r**2 + 2*r - 30. Give p(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1301161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 13009920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.4197 and 0.08.\nAnswer: 0.4997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(4*(3 + -2*4*((sqrt(84)\/sqrt(3) + sqrt(28) + sqrt(28))\/sqrt(4) - (-4 + sqrt(7)*2))*-4))**2.\nAnswer: -389264 - 134144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 149557309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 49 - 37. Suppose -m = 3*g - 6, -y*g + 9*g + 6 = -2*m. Find i, given that 3*i**2 - 64 + 69 - 6*i - g*i**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 0*c. Suppose -2*k + 34 = -19*k. Let d be 34*4\/72 + k. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 144 + -279. Let s = m - -139. Let g(q) = q**2 - 5*q - 2. Determine g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -15768*m - 17 + m**4 + 2*m**3 + 2*m**2 + 15769*m + 16 in the form y*m**2 + s + p*m**4 + l*m + u*m**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -816.7 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h - 2. Suppose 4*r = 18*r - 1106. Suppose 74*i = r*i + 10. Determine v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*w**4 - 2*w - 4*w**4 - 13*w**3 - 3*w**2 + 4*w**2 - w**4 - 2*w**4 + w**4 + (4 + 2 - 4)*(4 - 2*w**4 - 4) + 5*w**2 - 5*w**2 + 10*w**4.\nAnswer: 6*w**4 - 13*w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5102\/(-14))\/(3\/(-21)). Let k = c - 642. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10011001110111101110110 (base 2) to base 11.\nAnswer: -2934181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 108 divide 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express s**4 - s**2 - 790485 + 198*s + s**3 + 790485 in the form h + u*s**2 + a*s + i*s**3 + d*s**4 and give a.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = -r - 3*w, r - 4*w - 92 = -7. Solve 12*a + 29 - r = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 88 - 88. Let u(a) = -3*a + 15. Let l be u(11). Let p = l + 21. Solve -p*k - 5*f = -12, -5*k - 4*f + 1 + 6 = o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1426 - 1424. Let k(z) = -3*z - 6. What is the least common multiple of w and k(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14 - 1031?\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -4*r**2 + 1. Let p be b(-1). Let t(s) be the first derivative of 1\/2*s**2 + s - 4. What is t(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of c**5\/20 - 7*c**4\/6 + 7*c**3\/3 - 3*c**2 + 53*c. What is v(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 114*j - 110*j - 4*k - 12, 4*k - 15 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-304)\/6)\/((-5)\/15). Let m = g + -105. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + 5*b**2 + 5*b + 8. Let g be h(6). Let s = 5 - g. Solve s*p = p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u**(-15))*u*u*u)**(1\/45)*(u\/(u*u**11))**(-43))**(1\/48) assuming u is positive.\nAnswer: u**(789\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-9))\/(24\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -27*m**3 - 8*m - 202*m**3 + 105*m**3 + (3 + 2 - 4)*(m - 2*m**2 - m)*(-1 + m + 1).\nAnswer: -126*m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of j**4\/12 + 5*j - 1. Let i(c) = 9*c**2. Let m(y) = -198*y**2. Let l(k) = -45*i(k) - 2*m(k). Give g(l(a)).\nAnswer: 81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, 59, -4 in ascending order.\nAnswer: -17, -4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -651.8 - -652. Let l = -4.9 + -0.1. Let f = 9 + l. What is the biggest value in d, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4561392317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21 - 33. Let v be (r\/9)\/((-4)\/54). Let l = -7 + v. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -3*p + 9, -5*p + 3*c + 1 = -0*p. Suppose 2*v - 8 = 4. Let n = 9 + v. Solve -o + 4*g = -8, 0 = -o - 3*g - n + p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 8*j**2 - 3*j + 2232. Does 8 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*r**4 - 13*r + 8*r + 2*r**2 + 0*r**2 - 2 in the form b*r**3 + o*r + a*r**2 + y*r**4 + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 108 a factor of 10696536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(171) + 1*sqrt(171)))\/(sqrt(900) + sqrt(36)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183562?\nAnswer: 2, 91781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2. Let w(l) = 11*l - 48. Calculate v(w(u)).\nAnswer: -121*u**2 + 1056*u - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1149948529 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: Evaluate 7*(-30*(-18)\/27)\/126*-3.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -396 = -q - 393. Solve 0*x = q*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -7 - (18 + -8 + -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2*s**3 - 6*s**2 - 2*s + 4. Let c be o(-3). Determine p, given that 269*p**4 + 16*p**2 + 32*p - 267*p**4 - 4*p**3 - c*p**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(0 + (-1 + sqrt(1584) + sqrt(1584))**2 + 4).\nAnswer: -25364 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1581 or -109075\/69?\nAnswer: -109075\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 245121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (((-80)\/35)\/(-8))\/(31*9\/91791)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 56130 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-9 + (-477)\/(-54)). Let z be 2\/((-21)\/(-12) + p\/4). Solve -2*y + 3*n = 0, 3*n = -2 + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8040735334271.3798893 + -8040735776232. Let v = u - -442184.6201. Let q = 224 - v. Round q to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 0 + -1 + (-10 - -16) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 141\/(-235) + 123\/5. What is the third derivative of 101*d**2 + 98*d**2 + 176*d**4 - 203*d**2 - 6*d + x*d wrt d?\nAnswer: 4224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*d - 752 = 79*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 12*(-25)\/(325\/(-2054))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -62018.6 - -62019. Let v = 2 - 5. Sort -5, 0, w, v.\nAnswer: -5, v, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41255*o**2 + 40957*o**2 + o**3 - 82220*o**2.\nAnswer: o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 1\/110, -1\/4, 10 in descending order.\nAnswer: 10, 1\/110, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 25351.5 months in millennia?\nAnswer: 2.112625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -107 + -2. Let y = p + 114. Find the second derivative of 599*w**4 - w - y*w - 635*w**4 wrt w.\nAnswer: -432*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the second derivative of -j**5\/20 + j**4\/2 + 2*j**3\/3 + 3*j**2 - j. Let d = -537 - -544. Give r(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 6:22 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 13295676 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1137 - -1490. Is 71 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 4, y: 2, f: 1, s: 1, k: 2}. Give prob of sequence nsy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-7)\/i)\/(i\/(i\/((i*i\/(i\/(i**0\/i*i))*i)\/i))))**(-7\/9)\/(((i*i**(-1\/4))\/i)**(-41)\/(i**(-1\/3)*i\/(i*i\/i**2))) assuming i is positive.\nAnswer: i**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of -90*3*200\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 11227, 22474, 33735, 45016, 56323, 67662?\n\"Answer: a**3 + a**2 + 11237*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -45, -0.08, -1.3, 4, -13?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*z - z. Calculate the common denominator of (0 - (-9)\/z)*24 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d**2 - 14*d + 28*d - 17*d to t*d**2 + b + q*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -39*y - 380. Let x be v(-9). Sort -5, x, -13, 0, 3 in increasing order.\nAnswer: x, -13, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*y**3 + 2*y + 28*y**3 - 17*y**3.\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 10909 - 10841. Solve 5*a - 10 = -g*t + 31*t, t - 20 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1113392 and 12208?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 2713*m - 8150. Calculate g(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -51*c + 1379. Is 20 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of -n**5\/30 - 4*n**4\/3 + 6*n**3 + 20*n**2. Let b be d(-15). What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*g**2 + 7 - 7)*(-2 + 3 - 2)*(4*g - 4*g + 2*g)*(-2*g**2 + 5*g**2 + 0*g**2).\nAnswer: 42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 32\/(-18) + (-4)\/108*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 69213589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 353757498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = -2*w - 2*o, 5*w + 6 = -o - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*j = 4*j - 4*k - 4, -8 = k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18 + -15. Let c be -2 + (-28)\/(m - 7). Sort 0, c, -1 in increasing order.\nAnswer: -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 70*m + 80*m - 255*m + 54*m + 74*m - 5 as f*m + w and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 290764 and 5?\nAnswer: 1453820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -3*d + 2*k, -3*d + 2 = k - 2. Let x(j) = -j**2 - 4*j + 1. Let y be x(-5). Put d, -2, y in descending order.\nAnswer: d, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w**2\/5 - 1864*w\/5 - 2590 = 0. What is w?\nAnswer: -925, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4751, -7328, -7739, -5984, -2063, 4024?\n\"Answer: 1083*m**2 - 5826*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1840 and 8740.\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 2121285?\nAnswer: 10606425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 1 + 2 - 40*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.0403 (b) 0.4 (c) 2\/9 (d) 1 (e) -5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of 7*i**6\/120 + i**5\/10 + i**2 - 3*i. Let d(u) be the first derivative of l(u). What is the third derivative of d(f) wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - a**2 + 4 - 2325*a + 4*a**3 + 2327*a to the form g*a**2 + d*a**3 + q*a + j and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1\/3)\/w**(-2\/13)*w**(-5)\/(w*w**(-1\/6))*((w**(1\/6))**(10\/11))**35 assuming w is positive.\nAnswer: w**(-203\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((40\/(-15))\/(-8))\/((-9)\/135)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -21371*m. Let u(b) = -2*b + 2359. Give u(t(f)).\nAnswer: 42742*f + 2359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u + 4*u - 777. Let k = u + -96. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 4*f + 41. Let g be i(-8). Solve g = -4*a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -11*a - 2. List the prime factors of q(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 40519, 40518, 40517, 40516?\n\"Answer: -x + 40520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 - d**2 + d. Let a(o) = 8*o**3 - 5*o**2 + 3*o + 2. Let c(z) = -a(z) + 3*y(z). Let p(b) = 85*b**3 - 35*b**2 + 35. What is 35*c(m) + 2*p(m)?\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3095, 3097, 3101, 3107, 3115, 3125, 3137?\nAnswer: 3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 8. Which is the nearest to 2\/9? (a) -3 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47562?\nAnswer: 2, 3, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2*x + (0 - 2 + 7)*(-2*x + 3*x - 4*x) + (-2 - 3 + 3)*(1 - 1 - x))*(-2*x**3 + 2*x**3 + 2*x**3).\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-51)\/30 + 2)*((-22827)\/(-1638) - 14)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**3 + z + 1. Let t = -8 + 2. Let u(r) = 11*r**3 - 7*r**2 - 6*r - 6. Let w(a) = t*i(a) - u(a). What is the third derivative of w(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 120 and 1408500?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 smaller than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - u - 1 = -0*u, -u - 3 = -3*n. Let q(o) = n*o - 14 - 18 + 32. Let i(x) = 12*x. Give i(q(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3608 is divided by 181?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4985.\nAnswer: 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -3, 23\/2, 10\/257, 2, -1\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.3? (a) -0.3371 (b) 0.4 (c) -3\/5 (d) -0.459 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(2\/13))\/v**(4\/11) assuming v is positive.\nAnswer: v**(69\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 793\/252 - -11\/84. Calculate the common denominator of v and -41\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -198*y + 203*y - 1150 = 0. Suppose 154*l + y = 149*l. Suppose 3*f - 4 + 124 = -3*q, 2*f + 70 = -4*q. Is l greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (46\/115)\/((-6)\/35)*1\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55740 and 540840?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -3) + 3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 2*z + 13. Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24245 + 24244. Let w be 0\/(2 - 1 - 0). Put p, 5, w in descending order.\nAnswer: 5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lnz when three letters picked without replacement from {s: 1, n: 3, l: 1, c: 2, t: 3, z: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 3036.288409 to 1 dp.\nAnswer: 3036.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 32, -1, -5, 78, -2, 13 in decreasing order.\nAnswer: 78, 32, 13, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 93754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 144 and 11592?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 519*5\/30*(36 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.01258 + -28004.\nAnswer: -28004.01258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -0.29 (b) 5 (c) -3.9 (d) 6\/5 (e) -0.1 (f) -8 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 476 and 5032?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -49890\/41 smaller than -1216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 1 = -q, 44*q = r + 49*q - 5. Let g(v) be the third derivative of -1\/8*v**4 + r*v - 5*v**2 + 1\/3*v**3 + 0. Find the first derivative of g(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1838*j**3 - 482*j**3 + 1 - 1.\nAnswer: 1356*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 2834133 and 2834172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 1507515633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 23021746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 52.6 - 53. What is the closest to -1 in 0.06, -3, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -3\/7, 47\/4, 0.3, -1\/2 in ascending order.\nAnswer: -1\/2, -3\/7, -2\/7, 0.3, 47\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 6 = 2*r, 5*o + 2*r + 4 - 3 = 0. Put 2, 0, o, 5 in descending order.\nAnswer: 5, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 88.2 - 88.211794. Let c = -0.011 - w. What is c rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5509653.\nAnswer: 3, 857, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-7) - (-46)\/112. Let s = 3114.2 + -3114.16. Which is the closest to 0.3? (a) s (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + r + 9 = 0. Let s(l) = -2*l**r + 4*l**2 + 5 - 1 + 2 + 2*l**2. Let w(j) = j**2 + 1. Suppose 2*a - 4 = 2*y, 1 + 4 = 5*a. Calculate y*s(x) + 6*w(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from zvuznlw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 85*c + 35. Let k = -302 - -300. Let y(g) = 2 - 345*g + 172*g + 178*g. Determine k*u(t) + 35*y(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/41225 and -81\/1596640.\nAnswer: 774370400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**3*f**3*t + 120*b**3*f*t - b**3*t - 8*b*f**3*t + b*f**2 + 14*b*f*t + f**2*t wrt b.\nAnswer: 6*b*f**3*t + 720*b*f*t - 6*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00008392 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:37 PM and 2:02 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -57, -58, -59, -60?\n\"Answer: -m - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 646275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 10514, 42430, 95790, 170600, 266866?\n\"Answer: w**3 + 10716*w**2 - 239*w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**2 - a. Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1717976, -3435943, -5153912, -6871883, -8589856?\n\"Answer: -q**2 - 1717964*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 7\/(-5) + (-420224)\/(-192960)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 261897 + -163161875\/623. Calculate the common denominator of 19\/1780 and b.\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in -0.4, 3.715, 3, 5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.242054866 rounded to three dps?\nAnswer: 1.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 11*u. Let i(x) be the third derivative of -x**8\/20160 + x**5\/20 - 2*x**2. Let b(s) be the third derivative of i(s). What is b(r(h))?\nAnswer: -121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - u = 0. Solve u*p + 9 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1*3*2\/6. Let o = g + 13. Let i be (-6720003)\/(-4) + (-9)\/o. What is i rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes before 8:57 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 21, -0.5, -1\/5, 1\/5 in ascending order.\nAnswer: -0.5, -1\/5, 1\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 PM and 6:59 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14763751*b**6*t - b**3 - 10*b**2*t - 3*b**2 - 34*b*t + 488*t - 6 wrt b?\nAnswer: 1771650120*b**3*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 230860 is divided by 28854.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, l: 13, o: 1, c: 3}. What is prob of sequence ocx?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 20987\/1218 - 13\/203. Let i be (-6)\/(-4)*-2 - -1. Calculate the common denominator of (-4)\/i + (-9)\/11 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a367 (base 16) in base 5?\nAnswer: -2314311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77)*3 - sqrt(77))*-3 + (((sqrt(77) - (sqrt(77) + sqrt(77)*-4)) + sqrt(77))*-2 - sqrt(77)))\/(sqrt(66)\/sqrt(6)*5 + sqrt(99)*-1).\nAnswer: -17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -62*t**2 - 34*t**2 - 32*t**2 - 10*t**2 + 3199*t - 3202*t in the form q + o*t**2 + f*t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/9*60\/(-8). Let d = 0 - v. Sort d, -5, -6 in increasing order.\nAnswer: -6, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 35040 divided by 240\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*v + 5*q + 338 - 357 = -v, -3*q = -5*v + 39 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/(-4))\/((-10)\/(-100)). Let i = 13 - h. Calculate the highest common divisor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 354\/48 + 7 + -14?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10080 and 43160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -250, -243, -232, -217, -198, -175, -148?\n\"Answer: 2*n**2 + n - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 51.4568 to zero dps.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 49.44469 micrograms to tonnes.\nAnswer: 0.00000000004944469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 172 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 15 * 0.147171.\nAnswer: 2.207565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 9 + (-42 - -3) + (2 - (8 + -13)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4468 - 4514 - (0 - 73)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1804511, 7217959, 16240371, 28871747, 45112087, 64961391, 88419659?\nAnswer: 115486891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/9, 2\/231, 2\/11 in increasing order.\nAnswer: 2\/231, 2\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 5*v + 2*f - 13, 2*v = -5*f - 10. Suppose -r = -v*r + 316. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(6\/(-8)) - 1216\/(-288)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + 23423?\nAnswer: 23422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be 8\/(-3) - 1\/3. Let l = f + 1. Suppose 0*w + 4 = 2*w - 4*m, 5*w = m - 17. Sort -5, w, l.\nAnswer: -5, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 + 0)\/((-5)\/140). Suppose -6*z - z - q = 0. Does 18 divide 434\/8 + 1\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**3 + 10*p**2 + 2. Suppose -8*r = -4*r - 280. Suppose -2*l - 3*l = 5*v + r, 38 = -5*v + 3*l. Let y be o(v). Solve 1 - 7 = y*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) + 2*sqrt(832))**2 + sqrt(13) + (sqrt(13) + 0 - sqrt(13))*-5 + (sqrt(13) - sqrt(13)*2*4) + 1.\nAnswer: -6*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -105 - 4?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -4862, -4833, -4754, -4601, -4350?\n\"Answer: 4*p**3 + p**2 - 2*p - 4865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from {d: 7, p: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*o**3 - 3*o**3 + 0*o**3)*(o + 0*o + o) + (3*o**2 + 2*o**2 - 4*o**2)*(-o**2 - 8*o**2 - 2*o**2) - 15*o**4 + 3*o - 3*o)*(-3 + 3 - 2).\nAnswer: 56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16990 is divided by 288?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 200, 182, 152, 110, 56, -10, -88?\n\"Answer: -6*j**2 + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6738*b - 45 = -6739*b - 13*z, 4*z = 5*b - 18 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*a**3 - a + 1 - 9*a**2 + 2 + 7 - 7 - 1 to k*a + o + c*a**2 + i*a**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2732 and 1014388868.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*c = -2*l + 28*c + 1364, -2*l - 3*c = -1364. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, 10, 31, 72, 139, 238?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 5*y**2 - 2*y - 27. Let s be t(-3). What is the hundreds digit of 7665\/14*s\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 4, 1.31, -3 in increasing order.\nAnswer: -12, -3, 1.31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 3) + -1 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.04 and 274.51950729.\nAnswer: 274.55950729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a**1\/a)\/a**(-1\/4))\/(a**(-3)\/a**(2\/3)))\/(a\/((a**(1\/8)\/a)\/a)*a**(-4)*a\/(a**(-1\/4)\/a*a)*a**(1\/4)) assuming a is positive.\nAnswer: a**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 - -25. Let u = 19231 + -19131. Calculate the greatest common factor of u and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(475) + sqrt(475)*-2)*-6 - sqrt(475)) + 5)**2 - (5 + (sqrt(1539) + -1 + sqrt(1539)*-2 + sqrt(1539))**2 + sqrt(1539)).\nAnswer: 241*sqrt(19) + 11894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + s = -5. Let w = s + 21. Suppose -3*n + w = -17. Solve -3*z = -5*f + 3, 3*f + 3*z = 8*z - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38510486 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 472 (b) 3\/4 (c) 7 (d) 0.4 (e) 6\/11 (f) -0.4 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 171 + -59. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 q, and 2 w when four letters picked without replacement from {q: 2, m: 1, x: 2, f: 1, w: 5, e: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-6)\/(-4))\/(9\/96). Let k = -4312 - -4327. Is t < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 5*u - 3. Let t be g(1). Solve t*s + 2 = 2*x, 0 = -3*x - 0 + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6762193 and 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pptttxxxptepext. What is prob of picking 2 t and 2 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1774.1 from 2858.\nAnswer: 1083.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.0276*-208040.1\nAnswer: 5741.90676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-2))\/(1809\/567 + (-12)\/14).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 6, o: 2}. Give prob of picking 1 o and 2 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -52 - -87. Suppose 3*m = 2*t + f, m = -5*t + 2*t + 19. Calculate the remainder when 49 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-772488)\/(-48))\/(1\/2). Let a = v + -11887. What is a rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4.8 + -0.8. Let u = 4.1 - c. Let p be (-84)\/(-7350)*(-10)\/4. Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 4*b**2 + 31*b - 14. What are the prime factors of q(-11)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 0*p = 20. Let s = -653 + 663. What is the least common multiple of s and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9723.379ml in litres?\nAnswer: 9.723379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes before 2:33 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -2*d + 12. What is z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -57, -343, -1057, -2391, -4537, -7687, -12033?\n\"Answer: -32*c**3 - 22*c**2 + 4*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*-86.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + 1. Suppose -b + 5 = t. Suppose t*j = 5*s - 3, 2*j + j + s = 15. Put j, -2\/17, 5 in ascending order.\nAnswer: -2\/17, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -33\/8 - -265\/72. Suppose 3*l = -3*w - 6, 2*l - w = -2*l + 2. Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 11, 41, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of r**7\/525 + r**6\/300 + 7*r**2. Let m(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 21*j**3 - 795*j**2\/4 - 2259*j\/2 - 1296 = 0.\nAnswer: -9\/4, -2, 96\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -61 + 43. Let c = s + 38. Is -1 - c\/((-2)\/2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 227 + -161. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s + 2*s + 2*s)*(-s + 2*s + 2*s)*(0*s + 0*s + 3*s**3) - s**5 + 2*s**2 - 6*s**2 + 2*s**2.\nAnswer: 17*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 71*v**2 + 30*v - 65. What is o(2)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21984 is divided by 7146.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, 18, -3.\nAnswer: -4, -3, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be 7\/7 + 18\/2. Let h = -88 - -128. What is the highest common divisor of h and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 14 * 51221.\nAnswer: 717094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-8283)\/(-7) - -2) + (14 - 1400\/98) is divided by 241.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -4*q - 4*f + f, 3*q = -4*f + 28. Suppose 104 = -0*l + q*l. What is the remainder when 50 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(252) + sqrt(252)*-2 + -4)**2 + (-2 + sqrt(1008) + 3)**2)*-6.\nAnswer: -7658 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6685.64 - -6683. Is -6 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 191.\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1377.02 + 1377. What is the nearest to -0.2 in p, -1.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 2 = 0, 0*k = 4*q + k - 42. Which is the closest to 1\/2? (a) -2\/9 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p + 2. Let r(y) = -78*y**2 + 11 + y**3 + y + 95*y**2 + 1 - 18*y. Let s be r(-18). Give i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -c**4\/5 + 21*c**3\/5 + 3*c**2\/5 - 61*c\/5 - 42\/5 = 0. Calculate c.\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/40 and 38\/590515.\nAnswer: 4724120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 9 = -21. Solve -c - 1 = d, 3*c + r*d = -2*d - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w + 48 = -13*w. Let m(b) = 3*b + 1. Let j be m(2). Suppose p = j + w. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(3\/2*(-10)\/(-45)). Suppose 4*g - 63 = 3*q, -1 = 4*q - k*q. Suppose w = g*w + 28. Put w, -4, -5 in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 + (12 - (6 + -4 - (-4 - (0 + 5)))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -135 (base 6) to base 14.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -131662.928 rounded to the nearest ten?\nAnswer: -131660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -2*d. Let k(h) = -4*h**2 - 5*h - 5. Let r(b) = 2*b**2 + 2*b + 2. Let i(l) = -4*k(l) - 10*r(l). Calculate a(i(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {l: 1, m: 4, d: 2, i: 3, g: 1, p: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 5*o + 4*m = -1, -7 = -o - 5*m. What is the tens digit of (o + 89)\/2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/3*(-315)\/(-6804)*15\/25.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 4*b = 1560, 7*q = 2*q - b + 1944. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 + 38. Suppose -161 = -p + q, -3*q - 2 - 1 = 0. What is the greatest common factor of g and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 3*t**3 - 4*t**3 - 7*t**2 + 2*t**2. Let c be q(-5). Let k be 0 + (2 - c) + -1. Sort k, 4, 0.\nAnswer: 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 869 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-7 - -5) + (1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*q**2 - 6*q**2 + 2*q**2)*(18*q - q**2 - 18*q) + (-3*q + 4*q - 2*q)*(2*q**2 - 3*q**2 + 3*q**2)*(53*q + 1915 - 1915).\nAnswer: -107*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8309661071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j + q - 20 = -10*j, -j + 5 = 3*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in 11, -53, 23\/5, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 - -384.\nAnswer: 383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 399379 to the power of 1\/2, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -62a0013 (base 11) to base 15.\nAnswer: -e933e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*8\/(-48)*531\/(-3776)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77398 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -147*y**2 + 687*y**3 + 16*y - 1376*y**3 + 687*y**3 + (y**2 - 2*y**2 + 0*y**2)*(3*y - y - 3*y).\nAnswer: -y**3 - 147*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.373 from -8451326.\nAnswer: -8451327.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -169\/660 and -23\/540?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5*(-16)\/(-1200)*(-10)\/(-3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (((-288)\/108)\/2)\/((-2)\/15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 75.53503ml to litres.\nAnswer: 0.07553503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 735798570?\nAnswer: 2, 3, 5, 13, 1886663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*c + c + c - 9*c)*((3 - 3 - c**2)*(0*c + c + 0*c) + 3*c**3 - 2*c**3 + 5*c**3) + 856*c**3 - 856*c**3 + 39*c**4.\nAnswer: -26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3638836 is divided by 3698.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 96 + -92. Solve -k*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2054540021 + -5?\nAnswer: 2054540012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1329 - -1584. What is the highest common factor of 357 and i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-18 - -64)) + 76.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 15519.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.671572301 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/25045439 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17042093*r**2 - 688076*r wrt r.\nAnswer: -34084186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.165485km to centimeters.\nAnswer: 16548.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1144615 divided by 1.\nAnswer: -1144615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1052)\/8 + 2\/(-4). Let u = h + 50. Let c = -58 - u. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 3*t. Let i = t + 9. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, p: 5, w: 1, v: 1, r: 5, f: 2}. What is prob of picking 2 p and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1))**(1\/8)*m\/(m\/(m\/(m**(-11)\/m)))*m**(-2\/45) assuming m is positive.\nAnswer: m**(4619\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 7159*l**5\/60 - 3533*l**3\/2 + 42*l**2 + 2*l + 4. Differentiate c(t) with respect to t.\nAnswer: 14318*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 4*z**2)*(-2*z + 0*z + z - 2)*(3 - 1 + 1).\nAnswer: -12*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -37 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 192873378 and 1110.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 2*q**3 - 5*q**2 + 4*q. Give s(5).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together 13147 and 0.2.\nAnswer: 13147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 54407.3 + -92?\nAnswer: 54315.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (111\/(-518))\/(6\/7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -20 - -24. Let y(g) = 9*g**3 + g. Let j be y(-1). Let f be (-1)\/j*10\/4. Which is the smallest value? (a) 3\/4 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and 1.43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 250, 1189, 2784, 5047, 7990, 11625?\n\"Answer: 2*d**3 + 316*d**2 - 23*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 3226446 to the nearest 10000.\nAnswer: 3230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qppp when four letters picked without replacement from qqquatstptqtptatupq.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 7, -119, 1, 3, 4 in descending order.\nAnswer: 7, 4, 3, 1, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 65 - 14 + 15*b**2 - 51. Let p(m) be the second derivative of -m**3\/3 - 2*m. What is p(g(w))?\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 75*v. Let n(m) = 8*m**2. What is n(j(t))?\nAnswer: 45000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11000 - -1?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/9 - 17\/3. Let a = j - -18. Let i = 18 - a. Solve q + 4*f - i = 3, -5*q - 11 = 3*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*j + 8*j + 3108. What are the prime factors of j?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10794*c + 3428*c + 3235*c + 4 + 3346*c in the form x*c + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 192 - 152.5. Round f to 0 dps.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l - 1. Let y be x(-1). Let k = -1\/1288 + 3889\/32200. Is k less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of -l**9\/144 - 3*l**6\/40 + 7*l**3\/3 - 17. Let j(k) be the third derivative of z(k). Find the third derivative of j(d) wrt d.\nAnswer: -1260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -14*s**3 + 2*s + 1. Let c be b(-1). Let d = -3 + c. Let k(o) = -o**3 - o**2 + 2. Let r be k(-3). What is the greatest common divisor of r and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101111100 - 111101101?\nAnswer: 1110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 0. Suppose -2*f - 2*b - 6 = 0, 5*f + 3*b = j*b + 5. Calculate the least common multiple of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2854703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37*k**4*w - 11271*k**4 + k**3*w - 83*k**2*w - 39*k*w + 81*k - 3 wrt k?\nAnswer: 888*k*w - 270504*k + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 25 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -1 + (0 - 7) + -94 + 80.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 - 0. Let n(v) = -v**3 + 62*v**2 + 59*v - 3663. Let f be n(62). What is the nearest to -3 in c, 3\/7, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13684)\/7464*(-10)\/(-22).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -49, -1, -46 in descending order.\nAnswer: -1, -3, -46, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 6) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (-10 + 0) - (-37 + 27 - (0 + -1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -63 + 98. Suppose -w + a = 4*w. Suppose 0 = 5*b - 37 + 7. Calculate the lowest common multiple of b and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 68*y + 12276. What is the least common multiple of u(-165) and 88?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, 3, 6 in ascending order.\nAnswer: -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.206 - -9.\nAnswer: 8.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12 - -6. Let t = -183.89 - -180. Let d = 0.11 - t. What is the third biggest value in d, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 18.4024058 and -0.4.\nAnswer: 18.0024058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence be when two letters picked without replacement from rbrreeeerbrrmgrrmerg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 195056683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the first derivative of 0*m + 1\/26*m**4 + 118 + 0*m**2 - 2\/13*m**3. What is g in l(g) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -296669*h*v**3 + v**3 + 6443*v**2 + v - 4 wrt h.\nAnswer: -296669*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 69.2 - 379.2. Let p = 309.9999967 + d. Round p to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 4 = -29. Let x(q) = -q**2 + 4*q + 7. Let s be x(o). Suppose 2*m + u + 2*u = -3, s*m = -5*u - 9. What is the nearest to -1 in -1, m, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2\/21 (c) 4 (d) 2 (e) -143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11488, -11697, -11906, -12115, -12324, -12533?\nAnswer: -12742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41023?\nAnswer: 41023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -r - 4*i + 34, 348*r = 349*r - 5*i + 38 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5546?\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m - 1. Let a be q(0). What is the tens digit of (0\/a - -1)*19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11\/(-132)*4)\/(5\/(-21))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27555, 55108, 82661, 110214, 137767, 165320?\nAnswer: 192873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*u + 6*u = -3744. Suppose 3*c + u = 443. What is the remainder when 42 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -70.2 - -0.4.\nAnswer: -69.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from liqxlppipl. What is prob of sequence ql?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-246)\/1107 + (-1132)\/9. Let q = y - -141. What is the remainder when 102 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u**4\/7 - 186*u**3\/7 - 1404*u**2\/7 + 7944*u\/7 - 1248 = 0. Calculate u.\nAnswer: -52, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1100) - (3 + (sqrt(1100)*1 - sqrt(1100)))) + sqrt(1100) + sqrt(1100) + sqrt(1100)*-1 + 5)**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -4*n**3 + 488*n + 5. Let j(z) = -5*z**3 + 486*z + 6. Give -5*j(w) + 6*k(w).\nAnswer: w**3 + 498*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:15 AM and 10:53 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l + 1. Let z be x(-1). Let n be (-1 + z)\/3 - 35. Let b = n + 94. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 2*j**2 - 23*j + 15. Let s be u(11). Suppose k - 3*o = 15 + 23, -s*o + 104 = 4*k. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2427232 (base 9) in base 8?\nAnswer: -5015166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 2*m**3 - 49*m**2 + 24*m + 44. What are the prime factors of n(25)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, -267, -637, -1155, -1821, -2635, -3597?\nAnswer: -4707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -3*o**3 - 3*o**2 + 2*o - 1. Is w(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 63251 (base 10) to base 2.\nAnswer: 1111011100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (7 - 76)*5\/(-75) + 10\/25. Let a be (2\/1)\/((-6)\/(-21)). Suppose a*o - 2*o = s. Which is smaller: o or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1718033 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1738187\/94 - 18490. Let b = c + 7\/47. Sort 5, 0, -1, b in decreasing order.\nAnswer: 5, b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -162 + 167. What is the second smallest value in 2\/11, -1\/13, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 5, h: 6, i: 1, t: 2, j: 1, a: 1}. What is prob of sequence ji?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 149171717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 105 + -86. Solve -7 + u = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o. Let y(g) be the second derivative of 17*g**3\/6 - g**2\/2 + 821*g. Calculate 4*q(t) - y(t).\nAnswer: -21*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 - 13*l - 30. Let f be i(15). Is (-6)\/(-2) + 1352 + 2 + f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 1 - ((-1 - -6) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -103 - -12114050?\nAnswer: 12113644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 173 is divided by 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 22229961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be 14\/(-3)*(-6 + 5536)*24\/14. Round z to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 83940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 5*i + 5*j - 19, 5*j + 5 = 5*i. Let t(y) = y**3 - 4*y**2 + 1. What is t(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 19*f - f**3 + 31*f**2 - 23*f**2 - 15*f**2 + 13. Let t be u(-9). Let v(a) = -5*a + 17. Give v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000662006267 to 7 dps.\nAnswer: -0.000662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*t - 4*n = -4*t - 34, 5*t - 9 = 2*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -9. Suppose 0 = -2*b - 4, -b - 2 = -5*y + 6*y. Solve 5*g + 4*v - 32 + w = y, -2*g - 2 = -5*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10287 and 6731?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (70\/(-4))\/(-1)*(-334)\/(-1169).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -84*-32*20\/(-1536)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*c + 46 = 46*c. Which is greater: c or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**3 - 3*s**2 + 6*s + 5. Determine q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/5 in 0.2, -0.3, -3\/4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 765*f = 22648 + 4892 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - -2) + (5 - (8 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the third derivative of 0*k**3 - 1\/30*k**5 - 1\/36*k**4 - 6*k**2 + 0 - 1\/315*k**7 - 1\/60*k**6 + 0*k. Suppose i(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -8*f + 13*f - 4*f**2 + 3*f**2. Let j be u(4). Let v(b) = 6 - 3*b**2 + 4*b**2 + 0*b**2 - 8*b. Determine v(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/6*(-2 + -1). Let t be -2 - (-11 + u)\/1. Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 1. Let u = z - -3. Solve -1 = u*h + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*h**2 + 4512*h + 11*h**3 - 4512*h + 3*h**2.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 26836, -5, 509 in increasing order.\nAnswer: -5, 3, 509, 26836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 47376499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-6\/13)*x*(x**(2\/9)*x)\/x)**(-2\/15))**(-25\/4) assuming x is positive.\nAnswer: x**(445\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -u**2\/3 + 2*u\/3 + 56 = 0.\nAnswer: -12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i**3 - 2*i**3 + 0*i**3 + i**2 + i**3 - i**2 + (-2*i + 4*i + 0*i)*(2*i**2 - 2*i**2 - 2*i**2).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 3 - 2 = 3*b, 3*j + 3 = 0. Sort -21, b, 3.\nAnswer: -21, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33561691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -43*j**3 - 173*j**2 - 26*j**2 + 46*j**3 - 16*j**4 - 113*j**2 wrt j?\nAnswer: -384*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 624 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the third derivative of 41*n**5\/30 - 557*n**2 + 2*n. Let t(u) = u. Calculate t(p(r)).\nAnswer: 82*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 9*l + 2. Let o(z) = 12*z**3 - z**2 - 4*z - 7. Let f be o(l). Suppose -2*a - a - 5*d = -f, 10 = -2*d. What are the prime factors of a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of 25*u**6\/36 + 5*u**5\/2 - 35*u**4\/12 + 11*u**3\/9 - u**2\/4 + 28*u - 45. Let l(d) be the first derivative of w(d). Factor l(o).\nAnswer: (o + 3)*(5*o - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.004266 and 21.\nAnswer: 0.089586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(1\/3)*o)\/o**(5\/4))**(-2\/45) assuming o is positive.\nAnswer: o**(-1\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 171.\nAnswer: -5\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 1, l: 1, h: 2, a: 2, b: 2}. What is prob of picking 2 a, 1 g, and 1 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 170 = -0*j. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 126 and 24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-34*x**2 - 4*x**2 + 0*x**2)*(8 + 0 - 3)*(-4 - 2*x + 4) as s*x + t*x**3 + o*x**2 + p and give t.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -18\/17 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**2 + 3*z - 7. Let f(x) = -10*x**3 + 4*x**2 + x + 10. Let y be f(3). Let h = 214 + y. What is d(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 285*h = -288*h + 12, 11 = -4*a + h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 149 times -1748237\nAnswer: -260487313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 8:08 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 456, 942, 1428, 1914, 2400?\n\"Answer: 486*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/6 - -3) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 6*w - 4. Let i be g(7). What is the second derivative of 13*n**2 + 13*n**2 + 8*n - i*n**2 + 7*n**2 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 2 + 11 - (0 - 39*16\/(-24)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 3*k + 6)*(1 + 7 - 3) - 73*k - 12*k - 15*k + (-1 + 1 + 2*k)*(0 + 0 - 1) - 3*k - k + 2*k.\nAnswer: -119*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 6, m: 3, h: 3, r: 1}. Give prob of sequence rhk.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 728 is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27459162.\nAnswer: 2, 3, 169501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 1715*a**2 + 7*a + 717. Let m(q) = 571*q**2 + 2*q + 238. Let x(u) = -2*k(u) + 7*m(u). Find the first derivative of x(p) wrt p.\nAnswer: 1134*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 318874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 502 - 497. Suppose 0 = -4*t + 4*t - n*t. Solve -u + 19 - 17 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -27*o**3 - 1\/30*o**5 + 0*o - 43*o**2 + 3\/2*o**4 + 0. Factor d(m).\nAnswer: -2*(m - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -701 greater than -700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + (-54 - -4) - (-4 - (4 - 3)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 980359.2 millilitres in litres?\nAnswer: 980.3592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -5. Let w(l) = l**2 + 8*l + 15. Let x be w(-6). Which is the nearest to k? (a) x (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = 7*p - 4109. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -750*f + 21820 wrt f.\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -614 + 744. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47018*n + 23546*n + 23465*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 7*j**2 + 9*j + 2. Let m(y) be the third derivative of y**5\/10 + y**4\/3 + y**3\/3 + 52*y**2 + y + 1. Determine 6*m(a) - 5*s(a).\nAnswer: a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 662, 2445, 5416, 9575, 14922, 21457?\nAnswer: 29180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4\/3, -4, -31, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 + 74*w + 148. What is the remainder when x(73) is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - -5. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 80*d + 5191. Give u(-65).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g*g\/g**(-8\/5)))\/((g*g**17)\/g)*((g*g\/(g**2*g)*g*g)\/g)**(7\/6))**(-2\/3) assuming g is positive.\nAnswer: g**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 153 - 153. Let k = 7 - 4. Which is the biggest value? (a) k (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7944, 15855, 23778, 31719, 39684, 47679, 55710?\n\"Answer: k**3 + 7904*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**2 + 20*i - 181. Calculate j(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (2822 - 2917) + 768\/6\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.4 (b) 12\/7 (c) 221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1297.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 42 (b) -79\/6 (c) 2\/17 (d) -2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a + 45*a + 569 + 0*a - 150. Let u be h(-9). Solve -u*d = -k, 4*k - k = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 16*r - 263. Give b(40).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and -84 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -11.778799141 to 2 decimal places.\nAnswer: -11.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 95006547 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 4*m - 16 = -0*m, -4*m = -2*i + 4. Put 0.17, i, -5 in decreasing order.\nAnswer: i, 0.17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**3 - 5*i**2 - 6*i - 10. Let u be q(-4). What is the units digit of 57 + 3 + 10\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7523982?\nAnswer: 2, 3, 139333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of 0*z**3 + 151*z + 19\/3*z**4 + 19\/4*z**5 + 0*z**2 + 0. Find the third derivative of o(f) wrt f.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*r**3 - 3*r**3 + 4*r**3 + (2*r**3 + 3*r - 3*r)*(-1 + 0 + 3) + 4*r**3 + 0*r**3 - 2*r**3 - r + 74*r**3 - 3*r - 73*r**3 + 2.\nAnswer: 8*r**3 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 793487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 578162.1km to nanometers.\nAnswer: 578162100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*w**2 - 432*w - 435*w - 432*w - 40 + 1299*w.\nAnswer: 8*w**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*d - 9 = -66*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6859465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 + 5*i + 3*i - 10.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -3*l**2 - 10*l + 28. Suppose x - 27 = -2*x. What is the remainder when x is divided by a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-15))\/(189\/(-1260)*6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -13269, -26539, -39809, -53079?\n\"Answer: -13270*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36817 - 64854. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*d**4 - 3888*d**3 + 75217*d**2 - 97008*d - 75924 = 0. Calculate d.\nAnswer: -6\/11, 2, 19, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 252794051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 3*a**4 + 98133*a**3 - 80328273*a**2 - 160950933*a - 80524530 = 0. Calculate a.\nAnswer: -33510, -1, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 435002 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6167 - -37099\/6. Suppose 2*s - 4*s - 14222 = 0. Find the common denominator of f and s\/(-910) - 2\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 62\/3013 - 1\/23. Let b = -1453\/524 - h. Are -4 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4795480.\nAnswer: 2, 5, 101, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.4 - -2. Suppose 2*i = -i - 12, -y + 2*i + 64 = 0. Let a be (-4)\/(-3)*(-60)\/y. What is the third biggest value in -6\/7, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-10)\/(-25) + 1224\/(-1260). What is the fourth biggest value in 0.12, g, -7, -0.2, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 170*m - 169*m = -4*j + 1, -m - 5*j + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -5*t**4 - 6*t**3 - 6*t**2 - 23*t. Let i(p) = p**3 + p**2 + p. Let g(x) = 6*i(x) + n(x). What is the second derivative of g(l) wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:15 AM and 10:18 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -33525, -33544, -33563, -33582, -33601?\n\"Answer: -19*a - 33506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15236968?\nAnswer: 2, 1904621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 28 = k, 4*q - 4 = 4. Let l = k + -32. Let s be 6\/l*(-40)\/(-90). Is 1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 2102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 4579 + 116*n**3 - 4579 + (-2*n**2 - n**2 + 2*n**2)*(-2*n + 2 - 2) - n**3 + 0*n**3 - 2*n**3.\nAnswer: 115*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 181 = 11. Let o be (-18)\/(-8)*a\/(-18). Suppose -2*g = -o - 4. Solve -3*l = 3*s + 6, -g*l + 20 = -0*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 - -7 - -2) + -26 - (-18 - -15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3\/5 - 3718*p**2\/5 + 329046*p + 77778486\/5.\nAnswer: 2*(p - 951)**2*(p + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -4*x + 5. Let p(l) = -3*l + 6. Let q(j) = -5*i(j) + 4*p(j). What is the tens digit of q(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 0 (b) 3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.01 - 2699306769092.\nAnswer: -2699306769091.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 3*t - 28 = t, 3*a + 3*t = -30. Is 14 a factor of (-68628)\/(-112) + 6\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*b\/(b**(-2\/41)*b))\/(((((b\/(b**9\/b*b))\/b)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(576\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -27 + 22*p - 13*p - 6*p - 11*p. Is 7 a factor of t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 1\/7*s**4 + 255840\/7*s - 410\/7*s**3 + 40777\/7*s**2 + 389376\/7 = 0.\nAnswer: -3, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 9*f - 8. Let h(b) = b - 1. Give -6*h(q) + y(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1499262702*f**3 - 4492*f**2 - 201*f + 50 wrt f?\nAnswer: -8995576212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28, 129, 304, 559, 900, 1333, 1864, 2499?\nAnswer: 3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*y**2 - 50 + 108 - 57.\nAnswer: -34*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5410*o**2 - 16221*o**2 + 5412*o**2 + 5423*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d + 3*d - 3*d**3 + 8 + 74*d**2 - 74*d**2 to q*d + s*d**2 + p + u*d**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1156903, -2313841, -3470779, -4627717?\n\"Answer: -1156938*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4370, 4400, 4444, 4508, 4598, 4720?\nAnswer: 4880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36391*g - 287467*g + 1761232*g.\nAnswer: 1510156*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9669298667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-132750)\/(-8850)*(-1)\/(10\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (157 - 53 + 31)*(t - 1 + 1) as u*t + y and give u.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*n**3*v**3 - 5*n**3 + n**2*v**2 + 69*n*v**3 - n wrt v?\nAnswer: 12*n**3 + 414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 369753612 and 2484.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/4 + (((-80)\/(-45))\/(-4) - 12501\/(-243)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29 + -29.000084. What is z rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -163 + 359. Let w(i) be the third derivative of -13*i**4\/12 + i**3\/3 + 19*i**2. Let z be w(-1). What is the highest common factor of q and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -427 + 929. Suppose -5*x + c = -2648. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, n: 11}. Give prob of sequence nn.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 89*x**5 - 69*x**2 wrt x?\nAnswer: 5340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 96513 and 37027.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-72 - -118) + -55 - (-19 + 0 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 9 + 10*x - 10 - 4. Let c be d(3). Let p be ((-85)\/c - -3)*-50. Solve y + p = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1576, -12327, -41532, -98419, -192216, -332151, -527452?\n\"Answer: -1538*m**3 + m**2 + 12*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of 11*t + 3 + 0*t**2 - 1\/2*t**3. Let j(g) = g**2 + g**2 - g**2. Give f(j(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find t such that t**2 + 5*t + 6 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3*2\/(-4)*2 - -20. Solve 2*h + 7 = n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1692 and 5308?\nAnswer: 2245284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -9*t**2 + 3*t**3 - 9*t**2 + 16*t**2 - t**3 - 12*t**3 + 10*t**3 + t**2 - 3 + (-3 + 1 + 0)*(t**3 - 3*t**3 + 0*t**3).\nAnswer: 4*t**3 - t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*k**3*n**2*x + 123*k**3*n**2 - 11*k*n**2*x wrt x.\nAnswer: 3*k**3*n**2 - 11*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (((-26)\/8)\/13)\/(35\/20)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + 4*d**2 - 3*d - 6. Let w be j(-4). List the prime factors of (-4)\/w - (-312)\/9.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 689, 691, 683, 659, 613, 539, 431, 283?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -6*p + 88 - 12 + 5*p**4 + 5 + 31 - 6*p**3. Let y(x) = -x**4 - x**3 - x - 1. Let t(j) = -6*y(j) + z(j). What is the derivative of t(k) wrt k?\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 4 = 0, 0 = -5*v + 2*w - 6*w + 643. Let a(c) = 128 + c - 253 + v. Calculate the remainder when 32 is divided by a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0629 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j - j - 3*j)*(1 - 4 + 2) + (-3*j + 3*j - j)*(-2 + 2 + 2) + 3*j + 3*j - 4*j + (-4 + 2*j + 4)*(4 - 2 - 4) - j + j - j + (-2 + 0 - 3)*(-6*j + 34 - 34).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5556903*x**3 - 27655*x**2 + 23*x.\nAnswer: -33341418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -1017 - 31*h + 508 + 6*h + 510 - 11*h. Let c(x) = 2 + x + 0 - 2. Determine c(a(o)).\nAnswer: -36*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*j + 7 = -l - 33*j, 4*l + 28 = 4*j for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - 1445088?\nAnswer: -1445086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -87 (base 13) to base 11.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2055300 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -208172 - 4.\nAnswer: -208176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*(-7 - 1)\/128. Which is the third smallest value? (a) 0.1 (b) 2.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50 less than 508281.4764598?\nAnswer: 508331.4764598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/(6\/(-14)) + -2. Suppose p*q + 2*m - 254 = 0, -q - 6*m + 2*m = -40. What is the greatest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -4*i + 2. Let o(z) = 21*z - 11. Let u(k) = 4*o(k) + 22*s(k). Give u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 510780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/4 + 0 + (-6)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/5)\/((-2)\/1)*0\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -47*v - 4. Suppose 2*h + 12 = 2, r - 2*h - 6 = 0. Let i be (-2)\/r + (-5)\/2. Does 27 divide y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - (-7 - 1))\/(-15 - -5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -30654543*c**5*x**3 + 2*c*x**2 - 472*c*x + 10*x**3 - x**2 - 399 wrt c?\nAnswer: -613090860*c**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be -12*3\/(-1*9). Suppose 0*o - n + 5 = 3*o, p*o - 3*n - 11 = 0. What is the closest to 0.1 in -3, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**5 - 4240*s**4\/3 - 292498*s**3\/3 - 80060*s**2\/3 + 1169896*s\/3 + 129360 = 0. Calculate s.\nAnswer: -63, -2, -1\/3, 2, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {r: 9, s: 7, e: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5591649*d*q**3 + 44*q**3 + 27467*q**2 with respect to d.\nAnswer: -5591649*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*c - 0. Let q = -62 - -64. Suppose q*p + 5*z + 25 = 0, 0 = -7*p + 3*p + z + 5. Solve -h + 0*h + c = p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69403?\nAnswer: 69403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -374?\nAnswer: 1\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*r + 8*r - 3 + 35*r.\nAnswer: 14*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -11*s + 38. Let b be v(4). What is the hundreds digit of (b\/15)\/(18\/(-9090))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 10 = r, -3*v + 6*v = -r + 20. Suppose 3*u - 135 = -g, -5*g - 225 = -v*u - g. Suppose -m - u = 4*m + 5*c, -c + 21 = -2*m. Is m smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17007 + -16484. What is the remainder when l is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**3 + 0*d + 0*d)*(0*d - d**2 + 0*d) - 5*d**5 - 6*d**5 + 5*d**5 + 2*d**4 + 2*d**5 - 2*d**4.\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(272) + -3 + sqrt(272) + sqrt(272) + 2 - (sqrt(272) - ((sqrt(272) - (sqrt(272) + 0)) + -4)))**2 + (-1 + 5 + 0 + sqrt(272) + 1)**2.\nAnswer: -40*sqrt(17) + 1406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -210 from 7967336202.\nAnswer: 7967336412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18450 + -18307. Calculate the highest common factor of 15301 and j.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((474\/(-790) - (-24)\/(-10)) + 10)\/(35\/430)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/126516 and -41\/344.\nAnswer: 10880376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1977 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + n**2 + 0*n**2 - 3*n**2 + n**2 + n**2 + 2*n - 2*n + (3 + 1 - 3)*(n**2 + 4 - 4) + 0*n + n**2 + 0*n - n**2 - 2*n**2 + 2*n**2 + 4*n - 4*n + 4*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1575 - -1575. Let f(h) be the third derivative of -13\/6*h**3 - 1\/4*h**5 + 0 + u*h + 16*h**2 + 0*h**4. What is the first derivative of f(a) wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**2 - 9*f - 21. Let i be h(-2). Let p be (i + -11)*(-5)\/(-35). Let z be 3 - ((0 - 0) + -1). Which is the nearest to p? (a) -3\/5 (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 + r + 1. Suppose 15 = 4*p - 9*p. Determine k(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - t - 20, -3 - 7 = -p + t. Let q = 18 + -11. Solve 0 = 5*w + 4*f - 8, 5*w - q - 3 = -p*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - 55) + 35 + (-1 - 18).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wvks when four letters picked without replacement from {g: 1, s: 2, k: 1, w: 1, v: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 20, -6, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 581190 divided by 10\nAnswer: 58119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes after 5:42 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-1*sqrt(189))\/sqrt(3))\/(sqrt(27)\/sqrt(27) - sqrt(9) - sqrt(27)\/sqrt(3)*3).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*g + 25*g = -55*g + 13*g - 1904 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -40? (a) -1 (b) 0 (c) 1 (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -47 - 2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**3 - h**2 - 6*h - 7. What is the remainder when y(5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -33*u + 193. Let n be s(6). Let p(t) = -3*t**2 - 5*t - 5. Let k(b) = 2*b**2 - b + 1. Let d(a) = k(a) + p(a). Determine d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -t + 6. Suppose t*f + 3 = 7. Suppose f*m = -4*s + 6*s - 1226, 5*m = 3*s - 1845. What is s rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11180 + -811. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -12*a + 126. Let k be b(5). Let f = k - -678. What are the prime factors of f?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -274.1889 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 25299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 5439\/11863?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -936 - -1351. Is 55 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g = 9*g + 2. Suppose -w - 33 = -3*m, 0 = 2*m - 2*w + 1 - 19. Solve g*f - m = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/2791 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, 0, 17, 34?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4904074 and 658?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {f: 1, r: 2, v: 3, a: 1, j: 4, l: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/10)\/(26\/4).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 43 + (-41 - (-89 + 23))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -3*h**4 + 5*h**3 - 8 + 54*h**2 - 20*h**2 - 20*h - 20*h**2 = 0.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**12\/(o*o**(-10)))\/(((o*o**6*o)\/o*o*o)\/o*o\/(o**(5\/7)*o)))**(2\/15) assuming o is positive.\nAnswer: o**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3590?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of 3*j**6\/10 - 7*j**5\/15 - 28*j**4\/3 - 8*j**3 + 14*j**2 + 4*j. Factor a(y).\nAnswer: 4*(y - 3)*(y + 2)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11636651 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sum 1327 and 140245.27.\nAnswer: 141572.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*z**2 + 34\/5*z + 32\/5.\nAnswer: 2*(z + 1)*(z + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*u + 4*u + 735. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + -13. Suppose 2*b + 5*m = -21, 25 = -2*m - n*m. Suppose 2*s - 4*d = -0*s + 4, 5*s + 2*d - 46 = 0. Solve -2*j + s = -b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13263.\nAnswer: 3, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -16 + (11 + -13 - -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4*p + 0*p + 3*p)*(4 - 2 - 1) - 2 + 2 + 6*p)*(-100 - 15718*p**3 - 72 + 15712*p**3).\nAnswer: -30*p**4 - 860*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 182\/156 + -3*8\/9.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 3*o - 49 = -21, -2*o = -2*k - 24. Let v be (k\/(-1))\/4 - 4. Let i be (-1)\/((-5)\/(-24) + (-1)\/(-8)). Put i, v, -12 in ascending order.\nAnswer: -12, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 28*t - 176. What is p(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 46*(-77)\/14168*(-548)\/(-1).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58091 is divided by 13997?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor b**5\/6 + 3*b**4\/2 + 10*b**3\/3 - 8*b**2\/3 - 16*b - 40\/3.\nAnswer: (b - 2)*(b + 2)**3*(b + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 334219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1058, 2111, 3164?\n\"Answer: 1053*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4091, -8523, -13293, -18401, -23847, -29631?\nAnswer: -35753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m**2 - 3*m - 2. Let z be r(-2). Let u be z + 6 + (-6)\/(-2). Suppose -u*v = -405 + 80. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 3*q = -6*q + 1, l + 2*q = 0. Suppose 3*p - j + 2 = 3*j, -5*p - j + 12 = 0. Factor 11*k**p + 6*k + 5 - 17*k**l + 7*k**2.\nAnswer: (k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71444178 is divided by 1681?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -1 != -28\/15083767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -100.13 to zero decimal places.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 367989 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 2*q - 3*l - 18, -l + 13 = 5*q. Suppose i + 38 = 4*m, 2*i = -q*m + 45 - 11. Solve -2*v = 3*v - m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000202448 to 7 dps.\nAnswer: -0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 119*n. Let d(i) = -2*i. What is d(a(w))?\nAnswer: -238*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -25*p**3 + 2*p + 1. What is the remainder when f(-1) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + 0 + (-3)\/5. Let q = -0.09 - -0.09. Let l = -0.3 + 0.1. Which is the nearest to 2\/7? (a) p (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 12196 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/y**26)\/y*y*y*y*y\/y**(-13\/5))\/(y**(-24)\/y*y**(-1)) assuming y is positive.\nAnswer: y**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -327 - -458. Suppose 359*h + 118*h - 7286 = 10840. Calculate the remainder when o is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2627458 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -58 - -169. Suppose -6*w = -a - 927. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32*k**3 + 278 - 4*k**2 - 278 to the form w*k**2 + m + n*k**3 + f*k and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -456221, -455930, -455639, -455348?\nAnswer: -455057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-36)\/(-15)*2160\/32 - 1 is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13 and 438908665?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q**2 - 91 - 91 + 49*q + 184 + (2*q + 2*q - 6*q)*(6*q - q - 4*q) - 4 + q**2 + 4 - 3 + 3 - q**2 + q**2 + 2*q - 2*q + 12*q - 11*q**2 - 12*q.\nAnswer: -10*q**2 + 49*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*s**4 - 356*s**3 - 560*s**2 + 368*s.\nAnswer: 4*s*(s - 46)*(s + 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -279*c**2\/2 + 46311*c + 996 = 0.\nAnswer: -2\/93, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + n - 3*n = 0, 2*h - n = 15. Suppose 2*s - 2 - 11 = 3*g, 0 = -2*g + s - h. Let o be (g\/2)\/(3\/(-60)). Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 0*m = 2. Let n(p) = -p**3 - 3*p**2 - 2*p + 2. Let w be n(m). What is the derivative of 0 + 0*d**2 - 2*d**w + 2 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6216)\/4440*24\/(-14)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 1772 = 124. Let j be y\/8 + -4 + 34\/8. Is -58 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -168902529, -168902545, -168902587, -168902667, -168902797, -168902989?\n\"Answer: -2*n**3 - n**2 + n - 168902527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xjtttxtjttg. Give prob of sequence xt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (420\/(-7))\/(-10 - 1). Put 7, h, -2, -4 in decreasing order.\nAnswer: 7, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 236 a factor of 19582336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 453 + -659. Let o = -104 - n. Let l = o + 6. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 330 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 10*c**3. Let o be m(-1). Let g be 8\/(-20) + (-4)\/o. Sort 4, g, 1 in ascending order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1307.91 times -15\nAnswer: -19618.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 410*a + 0*k = 409*a + k + 5, -60 = 2*a + 5*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 - s**2 - 8*s - 6. Let c be p(-4). Let x = 89 - c. Let m(o) = -o**3 + 14*o**2 + 17*o - 24. Calculate the least common multiple of 8 and m(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(2 + sqrt(432)) + (sqrt(432) + 3 + sqrt(432) + 3 - sqrt(432))**2 + -4.\nAnswer: 72*sqrt(3) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 92044893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10*m - 118*m**4 + 4*m**2 + 2660 + 8*m + 182*m**4 + 165*m**4 + 1377 wrt m?\nAnswer: 916*m**3 + 8*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 - 14. Find the second derivative of 4*q**3 + i*q + 0 + 6 - 6 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - v - 26 = 2*v, 5*v - 87 = 4*j. Let q = -22 - j. Let i be 1 + (-74)\/24 + 2. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1553 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -8\/17*f - 2\/17*f**3 + 0 + 8\/17*f**2 = 0 for f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.7 * -837232.\nAnswer: -2260526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -7*((-36)\/(-28))\/(-9)*23599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 586560*r**4 - r**2 + 1936286*r.\nAnswer: 7038720*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -c5da (base 16) to base 10.\nAnswer: -50650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14.5 + -15. Which is the nearest to -1? (a) d (b) -2\/7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11\/39 in -1.63, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8 and 18827496.\nAnswer: 18827496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 83*x + 230 - 230 + 0*x + 2*x + 14*x + (-1 + 1 - x)*(-1 - 1 + 0) to i + w*x and give w.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 17*x. Let y(i) = -i. Let f(b) = 4*b + 1. Let j(z) = f(z) + 3*y(z). Let g(q) = 2*q**2 - 8*q - 8. Let l(c) = -g(c) - 8*j(c). What is t(l(s))?\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1633 a factor of 4236002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1210010210101011 + -2?\nAnswer: 1210010210101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-616) - 2\/28*-4.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3601, 7913, 12191, 16417, 20573?\nAnswer: 24641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -239998*a**2 - 5*a + 2. Let w be l(2). Round w to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 36339192, 72678386, 109017580, 145356774, 181695968?\n\"Answer: 36339194*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - -0.2. Let h = t - 0. Let v = h + -0.5. Which is the closest to -1? (a) 3 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 0*j + 21 = -j, -4*i - 4*j = -44. Solve 15*m = 23*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 349128662?\nAnswer: 2, 1931, 90401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -45\/11 in -0.5, -391, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19 + -9. Let j = u - 10. Which is the third smallest value? (a) -1\/6 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -54.9 - -55. Let c = t - 66.1. Let o = c - -66.5. What is the third smallest value in o, -2, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*y - 10 + 13 + 14 as b*y + m and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/14 + (-76)\/(-28). Suppose 23 = n*w - 7. Let t = w - 6. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 23, 2, 20, -5, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 4862739 divided by -6\nAnswer: -1620913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 3*l - 25 = 0, -5 = -2*r - 5*l - 50 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 8:12 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 2*c**2. Let z(w) = -128686*w + 1. Determine z(s(i)).\nAnswer: -257372*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 136178?\nAnswer: 2, 7, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 22899700400 rounded to the nearest one million?\nAnswer: 22900000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of 619*p**6\/10 + 1087*p**3\/6 + 943*p. Find the second derivative of b(u) wrt u.\nAnswer: 22284*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 223 a factor of 111061211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 62b (base 16) to base 9.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 105803133.\nAnswer: 3, 151, 311, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 4*z = -23 + 6, -3*z - 9 = -r. Suppose r*u + 3 = 15. What is the second derivative of 32 + u*d - 32 + d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 10877685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 5*m - 790 = 0, -3*f - 13*m + 479 = -11*m. Calculate the greatest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from izzizzi.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/(-12))\/((-2)\/(-18)). Let h be (1\/p)\/((-4)\/24). Let i = 17 + -17. Solve h*x + i - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l - 16. Let b be c(-11). Let j = b + 26. Which is greater: j or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 219109*f**2*k**2 + 2*f*k**2 + f*k - 3*f - 15*k**2 - 218*k wrt f?\nAnswer: 438218*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 38, -1\/3, -4, -694.\nAnswer: -694, -4, -0.5, -1\/3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -521183496\/11 and -47380318 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-16)\/(-6)*(-6)\/(-4). Suppose r = -i*r + 110. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 153.4, -3, 2\/7, 0.04, 1\/5 in decreasing order.\nAnswer: 153.4, 2\/7, 1\/5, 0.04, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 13241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11199, 22399, 33599, 44799, 55999?\nAnswer: 67199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -3\/4 (c) 6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u + 2. Let h be t(0). Solve -v - h*o + 0*o = 1, 4*v = -o - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(sqrt(77) + sqrt(77) + sqrt(77)*1 + sqrt(77)) + sqrt(77) + sqrt(77) + 1*sqrt(77)*4 + sqrt(77))\/((sqrt(567) + sqrt(567)*1)*4))**2.\nAnswer: 1331\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -2*q**5\/3 - 100*q**4\/3 + 962*q**3 + 103400*q**2\/3 - 2138312*q\/3 = 0.\nAnswer: -47, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 614*p + 322*p - 55*p - 34359 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1212687 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 71 and 304262051?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 4*c - 5*c. Suppose c = 5*d - 1117 - 968. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -4 + d**3 - 1\/2*d**4 - d + 9\/2*d**2 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*w, 5*i = -3*w - 642 + 58. Let g = -598 + 789. Let n = i + g. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 7*t**2 - t + 1. Let l be h(1). Let y = l + 1. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 take away 26923487279275?\nAnswer: -26923487279270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -472 = -g - 3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 7. Let t = 9 + n. Suppose 3*v - 7 = -w, -2*v = 2*w + 2*v - t. Solve -8 - 4 = -w*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes after 7:26 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 164 and 12712952?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zchc. Give prob of picking 1 h and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + -1. Solve -s + v - 5 = 0, -2*v + 12 = -4*s - t*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 + (-1304)\/(-128))*-4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0.042 times -17\nAnswer: -0.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 21649409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1 + (-2 + 2*sqrt(112) + 1 + sqrt(112) + 4 + (-3*sqrt(112) + 0)*-2)**2.\nAnswer: 216*sqrt(7) + 9077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1022 - -4085\/4. Let c be 1 - 2*(-10)\/48. Let i = c + x. Sort -5, i, 5, 7.\nAnswer: -5, i, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k\/(((k*k\/(k*(k\/((k*k**(-2\/15))\/k))\/k))\/k)\/k*k))\/k*k**4)\/(k**13\/k*k\/k**(2\/13)*k) assuming k is positive.\nAnswer: k**(-1699\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 4, 0.1, 9\/1273?\nAnswer: 9\/1273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 44951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be 17 - (6\/(-2))\/(-3). Find the first derivative of -8*w + g*w**2 + 0*w + 8*w - 19 wrt w.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6469847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 189 divide 65125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00965 to four dps.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, w: 6, x: 3, a: 1, v: 3, f: 3}. Give prob of sequence fh.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 10080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times -4506?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15257 is divided by 246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 57*j + 3 - 174. Solve 6 = -4*b + 2*o, -j*b - 4*o + o - 9 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -74422, -74408, -74410, -74428?\n\"Answer: -8*r**2 + 38*r - 74452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lssflsss. Give prob of sequence sfs.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is 128 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zkxpdpz. What is prob of sequence dz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is z in z**2\/8 - 6689*z\/4 - 49424895\/8 = 0?\nAnswer: -3015, 16393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 - 82*p**2 + 10 + 62*p**2 + p - p - 2*p**2 + 1 - 1 - 2*p**2 + (-2*p + 6*p - 3*p)*(-1 - p + 1) to the form c*p + g + w*p**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.004 - 0.004. Put 0.02, r, 0.1 in increasing order.\nAnswer: r, 0.02, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13928 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: Three letters picked without replacement from llzlzlzl. What is prob of sequence zzz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 3*y**2\/5 + 123477*y\/5 + 246942\/5 = 0.\nAnswer: -41157, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 2579 divide 387140378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0034 - 0.00703. What is t rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/72 and -37\/9290304?\nAnswer: 9290304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109*s = -101*s - 7352. List the prime factors of s.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -4*q + 6. Let u = 358.0363 - 0.0363. Let t = 358 - u. Which is the smallest value? (a) 1\/5 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 416 = 5*k, -9*x + 8*x + 4*k = -115. What is the remainder when 281 is divided by x?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 1344*o - 1047. Determine b(1).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -81, -127, -173, -219, -265, -311?\n\"Answer: -46*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 - 8*s**2 + 4*s - 1. Let c(m) = -m**3 - m**2 - 1. Let h(n) = a(n) - 2*c(n). Let z be h(5). Let g = z + 2. Which is bigger: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w = -4*f + 4, -357 = -126*w + 129*w + 75*f for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from upmllmulxlmlmlmmx. What is prob of sequence uxxl?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 43.75 rounded to zero dps?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9392\/3522*(-177)\/8.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y - 7. Let d be n(4). What is the common denominator of 0 + ((-134)\/12 - d) and -21\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 389 + -95. What are the prime factors of 1\/(-3) - a\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 553 - 395. Let x = f - 362. Let c = -204.00000139 - x. What is c rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8219 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*o + 9*o = 1207. Let r = o + 71. Solve -5*j + 0 - 10 = r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (223*a - 124*a + 200*a)*(9*a - 3*a + 3 - 2) as p*a + n + b*a**2 and give b.\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -10025 (base 9) to base 10.\nAnswer: -6584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.4 - 0.6. Which is the closest to -0.1? (a) v (b) -15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 54\/(-14) - 3\/21. Let y be -2*r\/(-16)*0. Solve 4*f + y = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26125.71 years in centuries?\nAnswer: 261.2571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of -w**3\/3 - 4*w**2 + 8*w - 2. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + j + 2 = 0. Suppose 4*d + 109 = 3*p - 0*d, -j = -d. Suppose n - 2*u = -12, 3*n + 7 + p = u. Calculate the common denominator of -73\/3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 PM and 5:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -2*b - 13*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 10*u**2 + 134*u. Is m(-28) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -32 by -23.\nAnswer: 32\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -3*c - 23. Let b = 240 + -238. Suppose 285 = -b*v + 265. Give r(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89.31041 hours in minutes?\nAnswer: 5358.6246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 420 = -5*p, 5*n - 3*p + 418 = -144. Let l = n - -574. Suppose 3*f = -2*f + x + l, -296 = -3*f + 5*x. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 363*d**6*o - 2*d**4*o**2 - 2*d**2*o**2 - 129*d**2*o - d**2 wrt d.\nAnswer: 43560*d**3*o - 48*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 55.74 - -1.76. Round s to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -2*m + 7. Let h be c(6). Let x(p) = p**2. Let a(z) = 3*z**2 + 4*z. Let i(j) = -a(j) + 2*x(j). Calculate i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2765777.\nAnswer: 7, 395111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6597608, -26390412, -59378412, -105561602, -164939976, -237513528, -323282252?\nAnswer: -422246142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 + 12*u**2 + 13. Let q be b(-12). Solve -5*h = 12 + q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dc when two letters picked without replacement from dddjjddcdccdjjcdd?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.06, -3\/2, 2, -29, -17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 - -26. Suppose -t - 128 = -r*t. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 148.72245 hours to days.\nAnswer: 6.19676875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9084744 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/3 + 0)*-1. Let x be (2\/(-4)*0)\/s. Let v be (x + (1 - 0))*5. Solve -4*i + 2*j + 2 = 0, 10*i - 5*i - v*j = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (12\/(-8))\/((-18)\/48). Suppose 6 = 4*k - 10. Solve 0 = -k*q - 8 - l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 964567.3 hours in seconds?\nAnswer: 3472442280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = w + 3*o + 27, 186*w - 192*w = 2*o + 98 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 2*h - 1. Let d be (-4)\/((-4)\/(-3)) - -18. Suppose 0*i + d = 2*i + c, -1 = c. Let s be l(i). Solve s = -9*x + 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of 21*o**5\/5 - 9*o**4 - 11*o**3 + 18*o**2 + 12*o + 1. Let k(t) = 0. Calculate t.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2\/11595 + 11587\/46380. Suppose -1\/2 - c*h**2 + 3\/4*h = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6594\/1413)\/(((-10)\/(-12))\/5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 28053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -290 = -28*t + 74 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -244*z - 3734*z + 744*z = -1565 + 56543 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*i - 363 = 68*i. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*a**3\/3 - a**2 - 5*a\/3 + 1.\nAnswer: (a - 1)*(a + 1)*(5*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 21017*k**3 + 170757.\nAnswer: 63051*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 27813*c**3 - 8455*c**2?\nAnswer: 166878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are 7385\/56999 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 3*i**2 + 4*i. Let g(c) = -3*c**2 - 5*c. Let n(l) = 4*g(l) + 5*s(l). Let u(o) be the first derivative of -o**3 + 3. Determine n(u(j)).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/2 + 9\/(-2) + 29. Suppose 0 = k*j - 20*j. Solve j = r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -2)*(-3)\/(1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 5, 12, 11, -61 in increasing order.\nAnswer: -61, 5, 8, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/((-8)\/(-29373)) + -3. Suppose 5*v + 4*t - 5*t - 29400 = 0, 5*v + 5*t = w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -5*d**2. Suppose 0 = 6*g - 54 + 36. Let w(z) = -3*z + 0*z + g*z - 3*z. Determine n(w(y)).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4\/9 (c) 4\/5 (d) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 3*b**3 - 3*b**2 - 11. Let u(x) = -x**3 + x**2 + 4. Let y(d) = -3*o(d) - 8*u(d). Let w(i) = 3*i**3 - 2*i**2 + 5*i - 4. Calculate -w(q) - 2*y(q).\nAnswer: -q**3 - 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 PM and 1:47 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2223 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of -k**3\/3 - k**2 - 12*k - 219. What is l(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 16 = -2*m - 15, -3*m + k - 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -126*(-32)\/12*94\/1504?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -29 from 158.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/128 and -95\/26592.\nAnswer: 106368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 4*f - 2*f + 75, 4*f = u - 123. Let i = -26 - f. Let l = 11 + i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 26 = 3*u - 6*z, 4*z = -4*u - 8. Let x be (26 - 16)\/(1 - (3 - 1)). Let g = u - x. Calculate the highest common factor of g and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5227248005.\nAnswer: 5, 7, 149349943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 90181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 3280, 14558, 33406, 59824, 93812?\n\"Answer: 3785*s**2 - 77*s - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**2\/5 + 18*o + 5372\/5 = 0. What is o?\nAnswer: -34, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 + 3*k**2 - 8*k - 13. Let i be q(-4). Find n, given that n**3 + 8*n**i + 22*n**4 - 3*n**3 + 3*n**2 - 19*n**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 28 = 2*h, 6*h + 20 = h. Suppose 0 = 4*g - 8 - 20. Calculate the lowest common multiple of g and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -1 + (((sqrt(228)*-2 - sqrt(228)) + sqrt(228))*-1 + 4*sqrt(228)*-2)\/(2*sqrt(48) - (sqrt(12) + sqrt(12) + sqrt(12)*2)*6).\nAnswer: -5 + 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 32, -2, 0 in ascending order.\nAnswer: -2, 0, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43922 = 9*s - 299509. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 156 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 509.75 * -5.\nAnswer: -2548.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 17085097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 69 + -65. Suppose -998 = -f*d + 226. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/12)\/((-4)\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*(-3)\/12)\/(-17*225\/1530)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/954 and -26\/9.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 938470556?\nAnswer: 2, 234617639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the third derivative of -5*r**4\/24 - 5*r**3\/6 - 293*r**2. Determine b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*r**2\/9 + 33724*r\/3 - 5005448\/9.\nAnswer: 4*(r - 49)*(5*r + 25538)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 5) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -29*r + 11*r. Factor -2*a**3 + 4*a**5 + 63*a**2 - 36*a**4 - 27*a**r - 2*a**3.\nAnswer: 4*a**2*(a - 9)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.4 + -2.1. Let g = -9402919 + 9402921.5000026. Let a = w + g. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r. Let p(n) be the first derivative of n**4\/8 - 4*n**2 + 8. Let f(j) be the second derivative of p(j). Calculate f(c(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*n - 2*n - 580 = 0. Calculate the smallest common multiple of 22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the third derivative of j**7\/490 + j**6\/56 - 5*j**5\/28 - 5*j**4\/56 + 12*j**3\/7 + 1718*j**2. What is z in b(z) = 0?\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 + -112 + 1 + (142 - 127).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1447 + 1446. What is the closest to g in 0.1, 0, -1\/4, 4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tiiiniiggtgit. What is prob of picking 1 n and 3 i?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*b + 4. Let z = -343091 + 343141. Calculate the smallest common multiple of -38*b\/2 - -2 and z.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/17))**(3\/2)*(x**(-16))**(-1\/7) assuming x is positive.\nAnswer: x**(293\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -49*m**3 + 14*m - 14. Let y(u) = -10*u**3 + 3*u - 3. Give 3*l(z) - 14*y(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 1, t: 4, o: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b**4 + 3*b**3 - 3*b**3 + (b - b**3 - b)*(-2 + b + 2) + (-6 - 2*b**3 + 6)*(0 + 0 + b).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101000 + -1?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 106.9 + -107. Which is the biggest value? (a) 0.2 (b) r (c) 0.06 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*k + 144*k = 285 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20476 - -30092. Is 65 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -3*w + w - 26, 2*p = 3*w + 19. Let h be w + 4 + 109\/1. Find the common denominator of 1153\/h - 2\/11 and 99\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (134 - 128)*(-1)\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -82467 + 117301. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 3*f + 2. Let i(q) = -183*q - 6. What is -6*h(t) - i(t)?\nAnswer: 165*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -98*j**4*y + 2*j**3 + 8*j*y + 2181*y + 2 wrt j?\nAnswer: -392*j**3*y + 6*j**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1557 + 6006 + 6100 = -275*w - 2651 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4304298*a**3*g + 20953*a**3 + 11*a wrt g?\nAnswer: -4304298*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pmh when three letters picked without replacement from {w: 1, n: 1, q: 1, p: 1, h: 3, m: 6}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 3:15 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2*(-2 - (-1 - 2)). Let z(d) be the third derivative of 1\/6*d**4 + 5*d**2 + 0*d**3 + 0*d + 0. Let n(b) = 2*b. Determine x*z(m) + 5*n(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -179, 4, 1, 57 in descending order.\nAnswer: 57, 4, 1, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 22109615 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -1000 bigger than -139138\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from eplkqlpkpkkr?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 79*b**2 + 188*b + 723. What is the tens digit of x(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 990432039 and -0.3.\nAnswer: -297129611.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 + 2*u**2 + 5 - 4 + 3*u + 1. Let q be n(3). Solve -5*f + p = -6, -6*p + 12 = -2*f - q*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11.010857 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1443 and 298662.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 74 and 778767749.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -18 divided by -189?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*2*sqrt(102) + (-2*sqrt(102)*2 - sqrt(102)))*-1)\/(sqrt(378)\/(sqrt(7) + sqrt(42)\/(sqrt(6) + sqrt(6) + 1*sqrt(6)))).\nAnswer: 28*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/9)\/(6*(-40)\/144)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*b*g**3 + 862*b*g**2 + 7*b + 2*g**3 + 184*g**2 + 2*g wrt b.\nAnswer: 10*g**3 + 862*g**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.037 - 0.673. Let s = j + -2.29. Which is greater: 6\/11 or s?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -62*h**2 - 43*h**2 + 26 + 96 - 46*h**2 + 9*h**2 wrt h.\nAnswer: -284*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1214169 - -2.94337?\nAnswer: -1214166.05663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**2 - 8*m - 8. Suppose -3 - 15 = 3*o. Let r be a(o). Suppose r*v + 12 = 2*v. Let d(l) = -2*l - 7. Calculate d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of -4\/45*r**3 + 1\/10*r**4 + 0*r**5 + 0*r - 37 + 0*r**2 - 1\/45*r**6. What is l in i(l) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -9 + (5 - (20 + -22))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 + -11. Let x = p + -3. Let s = 1.2 - x. Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes before 9:24 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -2*c**3 - 20*c**2 - 14*c + 57. Suppose -6*m = -m - 20. Suppose m*i + 30 = 6*i. Calculate the least common multiple of i and z(-9).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-84)*-2)\/(4\/(-24)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes after 5:39 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes before 4:16 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**2 + 462*m + 667. What is j(0)?\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 125414258 to the power of 1\/2, to the nearest integer?\nAnswer: 11199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 2*n**3 + 2*n**2 - 1. Let d be q(-1). Let b(y) = -y**2 - y + 1. Let a be b(-1). Let k = a - d. Solve i = -k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -4, 36, -1 in increasing order.\nAnswer: -4, -2, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 4 - 4*z**4 + (-z**2 - z**2 - 8*z**2)*(z**2 + 5 - 5).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -11877.2 + 2\nAnswer: -11875.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 2*w + 3. Let k = 257 + -242. Let m(s) = 9*s + 12. What is k*f(i) - 4*m(i)?\nAnswer: -6*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -3*o**2 - 68*o - 367. What is g(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00613958944 rounded to 4 dps?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 707695 is divided by 1053.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-8)*(-221)\/(-153)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes before 7:10 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f + 2. Let c be b(-3). Suppose -c*g + 4*h + 206 = 0, 2*h + 37 = 2*g - 45. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 3985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*y**3 - 15*y + 15*y.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 723623064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 28360.37 millennia?\nAnswer: 340324440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2478 and 77350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-915)\/366*(-2)\/5. Let j(z) = -z - 1. Let q(i) = 17*i. Calculate g*j(k) + q(k).\nAnswer: 16*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3027?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 3*g = 5, b - 1884*g + 1880*g = 16. Let i(w) = -2*w - 4. Let a(r) be the second derivative of -r**3\/3 - 5*r**2\/2 - 2*r. What is b*i(o) + 3*a(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of -w**6\/120 - w**4\/24 - w**3\/6 - 2*w. Let r(m) be the second derivative of g(m). What is the derivative of r(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 6*m**3 + m**2 - 2*m. Let k be c(1). Let y be (0*(-9)\/(-45))\/(2\/(-1)). Put k, y, -1 in descending order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1053702*n**3 - 13908780*n**2 wrt n.\nAnswer: -6322212","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let j be (2 + -337)*(-10 + -1). Suppose 21*y = 10*y + j. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (270\/(-105))\/(((-15)\/(-120))\/((-14)\/(-12)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the third derivative of -2*j**2 - 1\/6*j**3 + 0 + 0*j**5 + 0*j**4 + 0*j**6 + 0*j + 1\/210*j**7. What is the first derivative of u(x) wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.101040959 rounded to 3 dps?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84970 + 84*f + 84981 - 169951.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3.1 and -40.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j. Let f be d(6). Suppose 0 = -f*t + 9*t - 18. Differentiate 2 + t*b**4 - b**4 + 1 with respect to b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*n + 105 - 189 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1700 divided by 856.\nAnswer: -425\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34 is divided by 12\/(-8)*-3*52\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 24.29312783 to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -679, -159, 353, 857, 1353, 1841?\n\"Answer: -4*h**2 + 532*h - 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 15 - 6 + 74*l**2 - 1.\nAnswer: 74*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the third derivative of -m**6\/120 + m**5\/30 + m**4\/4 + m**3\/2 - m**2. Let g be s(5). Let l = 82 + g. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13*(42\/(-91))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 63*v**2 + 234*v - 179. Give r(-59).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -48, -33, -18, -9, -12, -33, -78, -153?\n\"Answer: -x**3 + 6*x**2 + 4*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*d**2 + 29*d**2 - 9*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-133)\/(-14) - (-1)\/2. Let o be k*((-15)\/12)\/(-5). Suppose -3*r = 5*d + 17, d = 4*r - d - 12. Which is the closest to r? (a) o (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-32)\/56 + 18\/7. Suppose 5*s + 42 = n*s. Let y be (-2)\/(-4) + (-161)\/s. Calculate the greatest common factor of y and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -8*k + 105. Let h(d) = -57*d + 48 - 13 + 136*d - 82*d. Determine 11*h(j) - 4*y(j).\nAnswer: -j - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y - 16. Let d be m(9). What is the remainder when 69*(-4 - (104\/(-12))\/d) is divided by (-16)\/(-1) + 12\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 448 - 410. Calculate the remainder when 2011 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 0 + 22 + -3 + -56.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let z = -75.4 + 75.49. Sort z, -2\/7, 1\/12.\nAnswer: -2\/7, 1\/12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*u - 12*u + 60 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 10147526 (base 10) in base 6?\nAnswer: 1001255142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3046 (base 10) to base 12.\nAnswer: 191a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + 9*x**2\/2 - 3*x + 6. Let m be c(6). Let r = 29 + m. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 87656295.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/11 in 42, 0.01, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11955 is divided by 5973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**2 - 4. Let s be j(3). Let o(a) = 4*a - 73. Let r be o(17). Let d be (54\/(-63))\/(r\/70). Solve t - 2*n - 3 + d = 0, -s*t = -n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 12421 = 5*f, -15475 = 5*i - 522*f + 526*f. Round i to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 + 30 = 2*g. Suppose -2*t = 2*x - g - 11, 4*t - 48 = 4*x. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(1 + (2*(1 + (-1 + sqrt(343) + -2 - 2*(sqrt(343) + -1))))**2) + 3.\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -48 in 12.4, 3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*z + 157 + 35. Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 262 + 12?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 6532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 236\/9 (b) 1 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - 3. Is (-2 - -2*47) + g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + d - 2. Let b be v(-2). Let y = -3397.3 + 3396.3. Put y, -19, b in ascending order.\nAnswer: -19, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34929*y - 36473*y = -169193 - 5279 for y.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, -6, 0.4, 0.\nAnswer: -6, 0, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from gheeygeehhmmmgyg.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -5.9. Let h = 1168 + -1163. Which is the nearest to z? (a) h (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**4\/5 + 465*w**3 + 2328*w**2\/5.\nAnswer: -3*w**2*(w - 776)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1012749 divided by -252.\nAnswer: 337583\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6173 - -6166. Let i(u) = -u**2 - 6*u + 17. What is i(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 384 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1071563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-3*5\/45)\/(12\/(-576))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05 times -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - (-182)\/(-60)) + (-12)\/(-60).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of l**5\/20 + 217*l**2. Let t(m) = 9*m**2. Calculate t(q(s)).\nAnswer: 81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -408.04 - -408. Which is the biggest value? (a) -15 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32228 - 19061. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**3 + 31*y**2 - 1. Let i be a(31). Is 218494\/30 + (-91)\/(-105) + i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/17 in 7, 4, -3\/2, 4.08, -27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 144241254 (base 6) in base 12?\nAnswer: 101022a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -15*a**2 + 20743660*a - 13829100.\nAnswer: -5*(a - 1382910)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 - u**2 - u + 1. Let g(a) = 18*a**3 + 12*a**2 + 16*a - 12. Let s(n) = g(n) + 12*q(n). Find the second derivative of s(m) wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 69 - 36. What is the common denominator of 12\/35 and (25\/525)\/((-1)\/m)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1307751 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13622 + 27240 - 1094*h**2 - 13619.\nAnswer: -1094*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7395)\/120785)\/(6\/(-7))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -26 - -25.5. What is the nearest to -1\/4 in l, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 628 a factor of 61824716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -102 (base 3) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-87518)\/420)\/1 + -6. Let f = 1067\/5 + b. Find the common denominator of f and 95\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7790 divided by -5.\nAnswer: -1558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - -9 - (4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18 - -21. Suppose -f = z - 5*f - 25, 35 = 4*z - u*f. Suppose -3*w - 229 = -0*p - 5*p, -z*p + 235 = -5*w. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ghh. Give prob of sequence hg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -4*r**3 - 30*r**2 + 11*r + 21. Let x(i) = i**3 + 6*i**2 - 2*i - 4. Give 2*f(n) + 11*x(n).\nAnswer: 3*n**3 + 6*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 4329 = -8*x. Suppose 0 = 5*h - 4*h - x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 148*t - 152*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.13 + 5.03. Sort 5, 0.9, 0.4, n in decreasing order.\nAnswer: 5, 0.9, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -261512, -261763, -262014, -262265?\n\"Answer: -251*g - 261261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4345 and 1.\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3948 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84291 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 10*b**3 + 5*b**2 - 6*b + 2. Determine l(-3).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -2*b**2. Let p be 2\/24 - (770\/(-84))\/55. Let a(o) be the second derivative of 0 + 0*o**3 + 0*o**2 - p*o**4 + 8*o. Determine c(a(m)).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**3 - 71*a**2 + 68*a - 377. Determine q(-72).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -365 by -73.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 229 + 437 = -74*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18 + -15 - (-1 + 0). Suppose -j*x + 26*x + 1232 = 0. Which is smaller: x or -55?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-81 + 81*d + 81 + (-d - 4*d + 3*d)*(6 - 2 - 2))*(3*d**3 + d**3 - 6*d**3)*(40 - 35 - 113) as z*d**2 + r*d + m*d**4 + f + a*d**3 and give m.\nAnswer: 16632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -782.2 - -782. What is the smallest value in -19, t, 1\/2, -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -38815, -38474, -37545, -35734, -32747, -28290, -22069?\n\"Answer: 49*q**3 - 2*q - 38862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**2 - 516*k + 1584.\nAnswer: -4*(k - 3)*(k + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -120 - -123 - (-5 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12780156.\nAnswer: 2, 3, 1065013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 21632 - 2794*r - 10814 - 10818 in the form v + j*r and give j.\nAnswer: -2794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-43*m**2 + 28*m**2 - 64*m**2)*(3*m + m - 2*m + (4 - 4 + 2*m)*(1 - 1 - 2) + m - m + m - 3 + 2*m + 3 + (-3 - 1 + 2)*(3*m - 4*m + 0*m)).\nAnswer: -237*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 - 6*u**2 + 7*u - 4. Let b be j(5). Suppose 0 = -7*h + 448 - 133. Suppose -y - h = -b*y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-2)*(-2 - 0). Let o be ((21\/6)\/7)\/(3\/18). What is the units digit of (-39 - a)\/(o - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -40 - -60. Let l(s) = -s**2 + 8*s - 9. Let b be l(7). Is -186*(g\/(-8) - b) - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 260192 and 7958?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d + 7*d - 15, -60*d = -6*z - 7 - 137 - 66 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 - (-4)\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78246135?\nAnswer: 3, 5, 11, 52691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 + (-46)\/3)\/(44\/(-132)). What is the least common multiple of 16 and f*(-39)\/(-26)*(-4)\/(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 42*s - 39 = -47*s, 0 = 5*s + 25. What is the smallest common multiple of 320 and n?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*((-276)\/68 + 4)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7647812 and 92.\nAnswer: 175899676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 + -4. Let f = p + -0.5. Let u be ((-2)\/16)\/(3\/(-18)). Put f, 0.3, u in ascending order.\nAnswer: 0.3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, q: 1, f: 5, m: 1}. What is prob of picking 2 f, 1 x, and 1 m?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -3*y**2 - 18*y - 7. Let o = 11105 - 11110. Calculate j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 4*q**3 + 2*q**2. Calculate h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 11021 (base 3) to base 5\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -87*b - 9. Let h(i) = 435*i + 47. Calculate -11*g(d) - 2*h(d).\nAnswer: 87*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26, -43, -60, -77, -94, -111?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -78 - -72. Let f(n) = -5*n**3 + 6*n**2 + 13*n + 6. Let m(u) = 4*u**3 - 5*u**2 - 12*u - 5. Calculate y*m(k) - 5*f(k).\nAnswer: k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 161 - 169.3. Let z = 20.4 - 11.7. Let q = w + z. What is the third biggest value in -1\/3, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 14420, 14418, 14416, 14414, 14412, 14410?\n\"Answer: -2*p + 14422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 25 = 5*b, -5*b = -18*r + 22*r + 15. Which is smaller: 0.07 or r?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -2*z - 1. Let q be c(-2). Suppose 0*k = 3*s - q*k - 153, -k = 4*s - 199. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 550506 is divided by 7057.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2443, -2444, -2445, -2446, -2447?\n\"Answer: -b - 2442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be -19 - 2645\/(-138) - (2 - 332\/168). Let n = 1 + -3. Let f = 2.3 + n. Which is the biggest value? (a) r (b) f (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 3 = -9. 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: Let j(g) = -2*g + 40. What are the prime factors of j(-15)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9070, -6, 4, 34, -4, 18 in increasing order.\nAnswer: -9070, -6, -4, 4, 18, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 187 = 2*l - 0*s - 3*s, -3 = -3*s. Let b = l - 4. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 709721038 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 1 - (35 + -34)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 - 11. Suppose -o*w - 64 = -18. Let k = w - -43\/2. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22594047 is divided by 33622?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of z**6\/90 - z**5\/15 - z**4\/2 + 5*z**3\/6 + 18*z**2. Let v(m) be the first derivative of y(m). Factor v(h).\nAnswer: 4*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 56643696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 5*t**2 - 4*t**3 + t**4 - 12 + 2*t**2 - 8*t**2 + 0*t**2 + 16*t = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 327 + -471. Let a be ((-4)\/(-3))\/((-4)\/b). What is the tens digit of (-1)\/(4\/(-2))*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(7*(-63)\/1029)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -423*q**5 + 3801*q**4 - 11367*q**3 + 11259*q**2 + 162*q.\nAnswer: -3*q*(q - 3)**3*(141*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 157073.\nAnswer: 7, 19, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5130744 at most as big as 5130743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1 and 6987?\nAnswer: 6987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -4\/477 and 37\/130?\nAnswer: 62010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3*f - 2*f + 6 = 0, -2*f + 4 = 0. Let w be (-55)\/(-2) - (-4)\/x. Suppose 3 = -5*d + w. Calculate the remainder when 18 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*y**3 + 6*y**3 + y**2 - 3*y**3 in the form f*y**2 + b + s*y + g*y**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - 6*y**2 - 136*y - 69. Calculate o(-6).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-22))**(-1\/12)*(i**14)**(1\/43))**(2\/55) assuming i is positive.\nAnswer: i**(557\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1161502 - 516851 = 151*u - 1623369. What are the prime factors of u?\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1178, -4718, -10634, -18938, -29642, -42758, -58298?\n\"Answer: -2*f**3 - 1176*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**2. Let w be (3 + 4\/(-2))*5. Let d = 4 - w. Let z(a) = 2*a**2 - 3*a + 1. Let t(f) = d*z(f) - 3*x(f). Calculate t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4715*c**2*k**3 + 2*c**2*k + 1273*c**2 - k**4 - 4*k**2 wrt k.\nAnswer: 28290*c**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 1646748.3 to the nearest 1000.\nAnswer: 1647000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-65)\/(-2))\/13*-20. Put -2, -4, a in ascending order.\nAnswer: a, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 5*q + 5*a, -28 = -0*q - 4*q + 2*a. Suppose b - q = -3. Suppose 12 = g - y, -g = -y + 3*y - 3. Calculate the greatest common factor of g and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4 - 3 - (-2)\/2. Suppose 2 = w*x - 3*k + 4*k, -2*k = 0. Solve -4*a + m = x, 4*m - 3*m = -5*a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = y, -5*o - 10 = -4*y. Let x = o + 3. Solve b = -x + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4.919 + -0.081. What is the nearest to 1\/2 in -2\/5, a, -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + 7*g - 2*g)*(-2*g**2 + 4*g - 4*g) - 2*g**3 - 1 + 1 + g**3 - 3*g**3 - g**3 + (-4*g - 2*g**2 + 4*g)*(-5*g + 4*g + 0*g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 8*h. Let w(a) = -794*a**2. Give w(n(g)).\nAnswer: -50816*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 4*f**2 - 5*f - 5. Let q be w(-3). Let o(c) = 12*c**2 + c. Is o(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137458064?\nAnswer: 2, 8591129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 21.687 + -0.387. Let g = w + -21.3. Put g, 0.03, -1, 5 in increasing order.\nAnswer: -1, g, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/(-6))\/((-76)\/(-6612)). Is -5 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in -4, 6\/11, -0.3, -2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*d - 4*l + 8*l, -4*l = -5*d + 18. Suppose 2*x + d*x = 0. Let t(a) = -a**2 + 7. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rln. What is prob of picking 1 r and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.82 - -0.849. Round o to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/6 and 18\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75*c + 231*c**3 - 124*c**3 + 75*c - 104*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*a*h*s**2*x - 2312*a*h*s**2 + 2*a*h*s*x - 9*a*h*x - 16*a*s**2 + 33*a*s*x - 2*a*x + 2*a + h - 4*s*x wrt s.\nAnswer: 6*a*h*x - 4624*a*h - 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2296 and 33348?\nAnswer: 2734536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:05 PM and 11:02 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 489412152 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be 76\/(-380) - (-54871)\/5. Suppose -2046 - j = -35*l. Calculate the greatest common divisor of 279 and l.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/4 - (-110)\/(-8). Calculate the common denominator of 2 - i*8\/(-18) and -62\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 7 - 2)*(1322*a**5 - 2418*a + 2418*a - 1 + 1).\nAnswer: 2644*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 7, -0.3, -13, -39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8)\/3*(1 - 4). Let a = c - 13. Let f(m) = 31*m - 7 - m - 29*m - 2*m. What is f(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 3, r: 1}. What is prob of sequence kr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t**3 + 3401*t + 408*t + 4*t**3 - 2*t**3 + 6*t.\nAnswer: 4*t**3 + 3815*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 3*h + 327, -h = -5*a + 3*a + 619. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12 + -4 + 301\/(-43). Suppose -5*h = -j + 5*j - 13, h = 4*j + 17. Let z be (-336)\/790 - (-2)\/h. Is z less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 + 13*y + 10. Let a be d(-12). Let w be 1 - (-1 + 2 + a)*219. Let z = w + 107. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.645449 * -4\nAnswer: 2.581796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - h + 0*h + 0*h)*(16*h - 27*h - 11*h).\nAnswer: 22*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -30, -29, -28, -27, -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*t**2 + 48*t**2 + 47*t**2 - 187*t**2 + 46*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 - 4*m**2 + 4*m - 3. Let w be a(-5). Let b be 2 - (0 - 2)\/w. Suppose 1 = -5*s - 3*d + 8, 3*s - b*d - 9 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/5)\/y)**28)**34\/(((y*y**(-2\/7))\/y)**(2\/29))**5 assuming y is positive.\nAnswer: y**(-772924\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 6*b + 2. Let t be 11\/2 + 2\/4. Suppose -12 = -4*x, -1 = -2*i - x + t. Calculate the remainder when 26 is divided by g(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(4\/7))\/w)\/(w*w**7))**(-1\/11)*((w**(-2\/15)*w*w)\/(w*w**6))**(-48) assuming w is positive.\nAnswer: w**(95124\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16.3 + -3.3. Let u = k - 8. Let h = 1967\/20 + -395\/4. Which is the closest to h? (a) 3\/5 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1301 and 297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1426.39 + 1425.3900064. Let z = q + 1. Round z to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13 + -9. Solve c*m = 1 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of 0 + 1\/12*v**4 + 6*v + 0*v**3 + 0*v**2. Let u(m) = -2*m. Calculate u(p(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -30a7ba (base 15) in base 16?\nAnswer: -234d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvvo when four letters picked without replacement from {o: 7, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 2*a**2 + 17*a + 30. What is the remainder when 34 is divided by v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -3*n - 17 + 39 + 23 + n**3 + 39*n**2 + 8*n. Let h(f) = f**3 + 59*f**2 + 7*f + 68. Let l(g) = 5*h(g) - 7*j(g). Differentiate l(p) with respect to p.\nAnswer: -6*p**2 + 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -5\/4*f**2 - f**5 + 3\/4*f**3 + 0 + 1\/4*f + 5\/4*f**4 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (5 - ((0 - 0) + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + w + w)*(6*w + 10 - 6 - 7) - 4*w**2 + 9*w - 7*w - 3*w.\nAnswer: 2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9 + (-1 - 21) - -450 is divided by 235?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -133 - -76. Let o(q) = -7*q - 182. Suppose 5*m = 3*r + 54, -3*r - 54 = -0*m + 3*m. Let t be o(r). Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n - 2 + 4*n - n)*(128 - 9 + 0).\nAnswer: 238*n - 238","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 - -7) + -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -7*u**3 - 20*u**2 - 5*u + 21. Give m(-5).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 20 = 4*o, -6 - 17 = 3*o - 5*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 1\/3, 5\/6 in ascending order.\nAnswer: 1\/3, 0.5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.319453l?\nAnswer: 8319.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 54707096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5 + 5 - 9*g**2)*(-g - g + g) - 4*g**3 + 13*g**2 - 13*g**2)*(12*g - 24*g + 82*g)*(-3 + 3 + 1).\nAnswer: 350*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -3 - 1. Suppose 5*p - 1 = 2*p + s*c, 2*c = -3*p - 7. What are the prime factors of ((-4)\/(-8))\/(p\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 137 = 7*c + 46. Suppose 4*y + 2*g = 74, 16*y - c*y - 5*g = 75. Calculate the remainder when 56 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 186, 1, -1\/189?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45155?\nAnswer: 5, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, w: 5, y: 3, p: 6}. What is prob of picking 3 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2682 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -2239 and -73495.\nAnswer: 164555305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 8 + (12 - 8) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qgm when three letters picked without replacement from qaammgaaqaqa.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 4) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 - -7. Suppose -5*o + 3*p + 0*p - 2 = l, 2*p = 4*o. Find the second derivative of -y**2 - 2*y + y**o - 2*y**4 - 2*y**4 wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/16 + (-13439998)\/(-8). Suppose -13*l = -18*l + p. Round l to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 - -9. Suppose 5*l - f - 8 = 3*f, -r*l - 2*f = 4. Suppose l = -0*w - 3*w - 15. Put w, 0, 5 in descending order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -67477800 by 211.\nAnswer: -319800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24806.3 - 24806. Sort 0.5, 1, i, 12, -0.5 in increasing order.\nAnswer: -0.5, i, 0.5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppwpwpwwpwppp. Give prob of sequence wpww.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 10 + 10 = 0. Suppose -n = -4*w + 3*n - s, -2*w = -3*n + 11. Which is the nearest to -0.1? (a) w (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -141, -215, -419, -819, -1481?\n\"Answer: -11*w**3 + w**2 - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0009801051841 rounded to 6 decimal places?\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17 + 88. Let n = -178 + 193. What is the greatest common divisor of d and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 209 = -4*w + 208, -2*c = -5*w + 285. Let r = 209 + c. Suppose 0 = -4*j + 5*k + r, 48 = 2*j - 2*k + 5*k. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 249 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i = 14*i - 3896 - 4379. Solve -57*k + 68 = -i for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lgo when three letters picked without replacement from egoggemggle?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 308*s**2 + 988*s.\nAnswer: 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 545015459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = -16*d + 65. What is the greatest common factor of d and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g**5\/5 - 159216*g**4\/5 - 1595125072*g**3\/5 - 213822588288*g**2\/5 + 1787187474176*g\/5 - 3625459716096\/5 = 0. What is g?\nAnswer: -19834, -144, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3302, 5200, 7088, 8966, 10834, 12692?\n\"Answer: -5*k**2 + 1913*k + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 + 51*m**2 - 108*m - 77. Let x be a(-53). What is the highest common divisor of x and 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2192*b - 832 + 4304*b - 2114*b to the form n + a*b and give n.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 2*k - 2. Let p = 126 - 124. Suppose -4*w + o - 3*o + p = 0, -4 = -3*w - o. Determine s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 184615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -7+19836\nAnswer: 19829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1921 divided by 2.\nAnswer: -1921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*y + k = 46*y + 3, 3*y + k = -13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-5\/8))**(-2\/13))**9 assuming h is positive.\nAnswer: h**(45\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3544073 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 + (-1 - 6\/2). Let m = t - -5. Let k be 1*(m\/(-4))\/1. Put 2\/9, 0.1, k in increasing order.\nAnswer: k, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 417311?\nAnswer: 417311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a**2 + a - 1. What is the remainder when 4 is divided by d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -h**3\/5 + 229*h**2\/5 - 2599*h - 2645 = 0.\nAnswer: -1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of -p**2 + 3*p - 1. Let k = -189 + 194. Let z be (5\/(-2))\/k*(-1 + 13). Let m(u) = -2*u + 4. Calculate z*t(q) + 5*m(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 30572 and -1564?\nAnswer: 32136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 3*f**3 + f**2 - 1. Suppose -8 = -4*m + z - 1, 2 = 2*m - 2*z. Suppose 0*i - m*i - 2 = 0. Calculate l(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -4*a + 34. Let r be s(8). Solve 0 = y - r - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (231 + -232)*(0\/(-2))\/3. What is the closest to g in 0.03, 1\/5, 0.1, 0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4684947 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-32*v**2 + 8*v**2 + 5*v**2 + (4*v + 2*v - 4*v)*(-5*v + 6 - 6))*(0 + 0 + 1)*(13*v - 15*v - 16*v) to the form i*v**2 + h + d*v**3 + g*v and give d.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 313079 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -752 (b) 5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 11:29 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 7*c**3 + 10*c**2 + 5. Let z(b) = 11*b**3 + 15*b**2 + 8. Let n(a) = -8*v(a) + 5*z(a). Calculate n(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 38100\/3429*(-36)\/(-20)*2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*g + 4*g - 152. Calculate the remainder when g is divided by 9\/15 - 248\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -110000000010100010101 (base 2) in base 16?\nAnswer: -180515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1 - 15*b**2 + 9*b**2 + 0 with respect to b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n + n**4 + 4*n)*(20*n - 26*n - 29*n)*(-1 + 0 - 1).\nAnswer: 70*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2ef66 (base 16) in base 10?\nAnswer: 192358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -12*c - 5. Let z be h(-6). Let i(x) = -x**2 + 3*x + 17. Let b be i(-6). Let a = z + b. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 8640161 + 12659839. What is b rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(88)\/(sqrt(8)*1*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17? (a) -10\/9 (b) -3 (c) -173.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 32 and (480\/(-35))\/((-39)\/182)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -678191\/241740 - 2\/20145. Calculate the common denominator of 7\/28 - (-209)\/36 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -21*n**2 - 2*n + 3. Let q be a(2). Let t = -34.7 - -35.7. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*r + 0 + 0 + 4*r**2 in the form d + m*r + s*r**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23224594.99998 - -23224340. Let o = f - -255. Round o to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) 14\/3 (b) -2\/85 (c) 1\/6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 10556\/32 + 11\/(-40) + 84\/210. Calculate the greatest common factor of 3190 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 9716+-5943.2\nAnswer: 3772.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -11*n**3 + 7*n**3 + n - 2*n + n**4 + 3*n**3 - 4 in the form y*n**4 + d*n**2 + f*n**3 + r + w*n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, a: 3}. What is prob of sequence aaad?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 42 in -25, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*n - 147405 = -1057437. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 3*o**3 + 3*o**2 + 3. Let v(f) be the first derivative of f**3\/3 + f + 2. Calculate q(p) - 3*v(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 228*j**2*x**2 - 4*j**2*x + 7*x wrt x.\nAnswer: 456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*2*6\/(-4). Suppose 6*l = f*l - 4*h + 79, 2*l + 3*h - 53 = 0. Let m be (-1 - -2)\/(7\/(805\/5)). Solve -m = -4*c + n, -5*c - 6 = 2*n - l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1252856 is divided by 166.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l. Let b(h) = 11*h**2 - 10*h**2 + 5*h - 6*h. Let d(t) = -t**3 + 2*t**2 - 15*t + 29. Let v be d(2). Give v*b(q) - x(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 31.482203596 to 1 dp.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:27 AM and 2:29 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/8 and 37*-1 - (-7)\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-75))\/(5\/25)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 14*s**2 + 63*s**3 - 4082415*s + 4082415*s in the form f*s**3 + h + p*s + r*s**2 and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-115860)\/(-80))\/((-30)\/16). Let d = m - -776. Suppose -36\/5 - 102\/5*t - d*t**3 - 84\/5*t**2 = 0. What is t?\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1414, -5, 32269, 4 in decreasing order.\nAnswer: 32269, 1414, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 489551\/50 + -9791. Let k(q) be the third derivative of -2*q**2 + l*q**5 + 0*q**3 + 1\/15*q**4 - 1\/300*q**6 + 0 + 0*q. Let k(t) = 0. What is t?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 1 - 3)*(0 + 2 + 4)*(-49*n + 25*n - 28*n) to the form x + t*n and give t.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 80076299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 + 56*b**2 - 65*b + 37. Let q be i(-57). What is the greatest common factor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**4*v\/v**(-3\/4)*v**(3\/8)*v*(v**(-1\/5)*v)\/v assuming v is positive.\nAnswer: v**(277\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -27*j + 18*j - 18. Let l(p) = -p**3 + 2*p**2 + 3*p + 1. Calculate the remainder when 185 is divided by l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 650, 861, 1172, 1589, 2118?\nAnswer: 2765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3331332224140 + -1?\nAnswer: -3331332224141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 388787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23 and 16997.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*b = -11*b - 168. Suppose 52 = 3*p + b. Suppose 4*w = 2*t - 38, 4*t - p = -5*w + 3. Solve -3*s + 6*s + t = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 + 4. Let w(m) = m**3 - 5*m**2. Let t be w(5). Suppose t*l + 12 = 2*l. Calculate the remainder when g is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -426 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2810 - -28199\/10. Let o = -9230\/3 - -184963\/60. What is the common denominator of o and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (7 - -3) + -5 - (0 - 0). Suppose -q + 5*q + 2*i - 16 = 0, -35 = -u*q + 5*i. Calculate the greatest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.291*-0.922\nAnswer: 0.268302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -102 in 1\/4, 7, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2 - 29*i + 656. Let v be f(15). Put v, -1, 6, 1 in descending order.\nAnswer: 6, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 90 = 2*g, 0 = -p + 3*p. Suppose -3*h - 24 = -g. Suppose h = 2*o + 5*k, -25 = -4*o + 3*k + 54. Calculate the smallest common multiple of 12 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - -1)\/1 + (-121)\/77\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -179, -0.2?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-2*sqrt(4500).\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2554 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (7700*d + 8407011 - 8407011)*(-5*d + 0*d + 6*d).\nAnswer: 7700*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 173, 802 in descending order.\nAnswer: 802, 173, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10.4 - 0.6. Let c = -16 - a. Let p = -0.082 + 0.082. Sort p, -0.5, c in descending order.\nAnswer: p, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 greater than 8053\/222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 22574972 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n + n**3 - 7*n**2 + 0*n**2 + 8 + 4*n. Let d be f(6). Let t(m) = m**3 + m**2 - 2*m - 1. What is the units digit of t(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1302 + -6534\/5. Calculate the common denominator of x and 83\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0058322541 rounded to five decimal places?\nAnswer: 0.00583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -2*m - 3. Let y be u(-4). Let h = 9 + -10. Is -1*(2 + y)*h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 24, 54, 76, 66, 0?\n\"Answer: -4*q**3 + 20*q**2 - 2*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -2572 and -5486.\nAnswer: -8058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*n**3 + 0*n**3 + 0*n**3 + (-n - n**2 + n)*(3*n - 4*n + 0*n) - 3*n**2 + 3*n**2 - 2*n**3 + 2*n**2 - 2*n**2 + n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 788419 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10400 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 2*d**4\/3 - 3790*d**3\/3 - 15214*d**2\/3 + 13930*d - 7596 = 0. Calculate d.\nAnswer: -6, 1, 1899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 - 2*m**2 - m - 6. Let u be p(3). Suppose 5*k + 5000 = -u*k. Round k to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a - 5. Suppose -2 = -3*k + 2*k, -14 = 4*i + k. Let d(n) = 1. Suppose 0 = 3*p + 6 - 3. Determine i*d(l) + p*q(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/2)\/(q*q*q**(9\/2)))**(-2\/37)\/(q**(-1)*q*q\/(q\/(q*q\/q**12)))**(-1\/21) assuming q is positive.\nAnswer: q**(-76\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -53275079?\nAnswer: -53275079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes after 11:53 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes before 4:55 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - y + 15, -11*m + 2*y = -7*m - 20. Solve 3*s = m*v - 2, -2*s - 2*s - 14 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1243? (a) 2 (b) -29 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by 1888.\nAnswer: 3\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -20\/7? (a) 2\/11 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 108b8 (base 14) to base 10\nAnswer: 40146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11\/328 or 1?\nAnswer: -11\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*q**5 - 1139*q**6 - 5*q + 5*q + 1614*q**6 + 3999*q**2 wrt q?\nAnswer: 57000*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 4 = -22. What is the remainder when 32 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -5 and -385.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -9*j**3 + 3*j**2 - 11. Let k be -3 + (-2)\/(3 + -1). Let t(p) = -3*p**3 + p**2 - 4. Give k*i(r) + 11*t(r).\nAnswer: 3*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -2932 (base 10) to base 8.\nAnswer: -5564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50238517 to the nearest integer?\nAnswer: 7088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18607\/7602 - 25\/181. What is the common denominator of r and (-2)\/(0 - (-8)\/5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1114 a factor of 216122684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -592*g**3 + 602*g**3 + 0*g - 9*g**3 + 0*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15368 = 24*h - 16*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/((q**18\/q)\/q))\/q**(-1\/9) assuming q is positive.\nAnswer: q**(-134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 9913*z - 9905*z + 195 - 35 = 0 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -caa1 (base 15) to base 12.\nAnswer: -209b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-7*(-11)\/154)\/((3\/(-32))\/3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, 0.132, -8 in decreasing order.\nAnswer: 0.132, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + -1 + 23 + -24 - 5) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 45*c**2 - 38*c + 238. Is d(27) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*y - 92 = -47*y. Let v(m) = 287*m + 100. Let i be v(y). Calculate the greatest common divisor of i and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - z + 203 = -2*z, -5*i + 258 = 3*z. Calculate the lowest common multiple of (i - 61)*(-90)\/4 and 6.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5575121707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 227482 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 2*n**2 + 24*n + 4. Let m(x) = 4*x**2 + 42*x + 7. Let p(z) = -7*k(z) + 4*m(z). Let s(f) = -233*f + 2. Calculate p(s(v)).\nAnswer: 108578*v**2 - 1864*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 3*d - 33 = 3*a, -5*d + a + 51 = 0. Suppose d*g - 53 = 9*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3682018.\nAnswer: 2, 37, 49757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4498 and 29403772.\nAnswer: 382249036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 + 6*j**2 + 36*j + 27. Determine r(9).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 239 + -89. Suppose 4*x = 6*x - 120. Calculate the greatest common divisor of n and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) -1341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*p**2 - 22*p**2 - 26*p**2 to the form g*p + w + l*p**2 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 111045359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 187\/2280 and 245\/(-7448)*118\/5.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 5*k + 126 + 131, -133 = -c + 2*k. What is the least common multiple of 30 and c\/9 + 19\/((-1026)\/(-24))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19497 - 19487. What is the greatest common divisor of s and 33230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r**3 - 3*r**2 + 7*r + 3. Calculate the remainder when u(-4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -30*b**2 - 424*b - 14. Let u(w) = 18*w**2 + 282*w + 9. What is -5*l(v) - 8*u(v)?\nAnswer: 6*v**2 - 136*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -2*m - 2*m. Let c(k) = k**3 + 1. Let y(g) = 7*g**2 - 3*g**2 - 501 + 495 - 7*g**3. Give m*c(d) + y(d).\nAnswer: -d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(-2)*(-10 - 2). Suppose -4*y + m = 2*n, 3*y = n + 4 + 7. Sort n, -14, 4, -2 in decreasing order.\nAnswer: 4, n, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 15\/20*-4*(-9)\/(-81)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -10*f + 106. Let c be v(11). Let q(k) = -2*k**3 - 5*k**2 - 3*k - 24. Let s be q(c). Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 6.88. Let h = g + -0.23. Let n = 72161\/7 + -10309. What is the second smallest value in -4, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 4*s + 6 + 154, -x + s + 30 = 0. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 2*p - 15 = 0, 0*p + 25 = -5*p. Suppose 0 = z + 2, r*z = l + 2*l + 20. What are the prime factors of (-5901)\/(-140)*4 + 6\/l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*m + 107*m = 630120. Is m a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 14*h**3 - 84*h**2 + 2*h + 34. Calculate a(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(700) + 1*sqrt(700))**2 + sqrt(1050)\/sqrt(6) + 4.\nAnswer: 5*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 329 smaller than 121547\/368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 219114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26892650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from knkknkkknkkkkkkkkn.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(4\/(-7)) + 1. Let a(b) = b + 25. Let p be a(d). Let v = p - 6. What is the remainder when 49 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46441?\nAnswer: 46441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 1:17 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/3, -18, -1\/3, 2\/11, -25?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2*47\/(-2) + -16 + 17. Suppose -7*j = z - 5*j - m, 5*z + 2*j - 272 = 0. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320940000 rounded to the nearest one million?\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4772 - -13802?\nAnswer: 8020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 18486 - 187?\nAnswer: 182bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148299 is divided by 73318.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 2856 divided by -8\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -1325?\nAnswer: -1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + 4 - 13. Let v be (-4)\/(-12) + (-134)\/c. Calculate the greatest common divisor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/4 and -7\/10160?\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b + 2 + 1. Let n = 4 + -4.6. Let d = 0.7 + n. What is the second biggest value in d, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 655317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 1. Let b(w) = 2921*w**2 - 3 - 2*w + 5*w - 2916*w**2. Let v be b(n). Solve 3*x - 5*d + 2*d = 0, v*d = 4*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 58 (b) -1\/7 (c) -1 (d) -4\/25 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 35433*n**4 + 35450*n**2 wrt n?\nAnswer: 850392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1835?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 146160 and 7899165?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5739 + 12398. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/5 + (-1161)\/(-135). Solve 0 = 5*a - 5, -8 = 7*u - t*u - 5*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 31075772 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 140129718 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -5*z**3 - 6*z**2 - 11*z. Let a be 5 - 3 - -4 - (0 - -11). List the prime factors of v(a).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3236 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {v: 4, g: 2, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be (((-6)\/(-4))\/((-45)\/12))\/((-770)\/21175). Let g(f) = 14*f**2 - 1. Let l be (-2 + 0)\/(2\/2). Let p be g(l). What is the highest common factor of b and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -78 + 13 - 13*t - 34 - 31 to b + h*t and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-1))**(1\/27)\/(r*r*r\/r**0*r)**(-34) assuming r is positive.\nAnswer: r**(3671\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.2764069 + 3.7235911. Let o = -0.014 + -3.986. Let j = o + b. Round j to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**2 - 6*y - 44. Give j(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w = 11*w + 4. Let f be ((1 - -4)*w)\/(-1). Factor 0 + 0*h**4 - 4\/5*h**3 + 0*h**2 + 2\/5*h + 2\/5*h**f.\nAnswer: 2*h*(h - 1)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 - 5. Suppose -d*o = -3*o - 168. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1070331341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 57, 177, 381, 675, 1065, 1557?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/(-2) - -1) + 1430\/(-1012). Let c be 5\/(-2) - (-12)\/8. Which is greater: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence glzl when four letters picked without replacement from lgggllzigggt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**2 + 4*s - 5. Let n be 4 - 1 - 0\/(-5). Suppose 4*o - n*c = 16, -3*o - 3*c - c = -12. Let u be b(o). Is u bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of 313*j**6\/6 - 257*j**2\/2 + 2*j - 544. Find the second derivative of b(i) wrt i.\nAnswer: 6260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 - 11. Suppose -5*g - 2*q = -34, g + v*g - q = 28. Let j(r) = r**2 - 4*r + 4. What is the remainder when j(6) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-25)\/x)\/(x*x**11) assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 12587, -4 in decreasing order.\nAnswer: 12587, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 + 1)\/(-2) + 10. Let i = 40 + -37. Suppose 0*z - 3*z + 4*l = -14, i*z + 4 = -5*l. Solve -s + z = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*a - 10*a + 448. What is the remainder when a is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 232786, 232796, 232818, 232858, 232922, 233016, 233146, 233318?\nAnswer: 233538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -17 (base 13) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*z**3 - 148*z - 2*z**3 + 116*z + 9*z**5 wrt z.\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 - 1. Suppose x*q - 4*q = -102. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(121) - sqrt(121)*-2) + sqrt(121))*5*3*-1)\/((sqrt(1331) - -1*(sqrt(1331) + sqrt(1331) + sqrt(1331) + 2*sqrt(1331) + sqrt(1331)))*5).\nAnswer: -12*sqrt(11)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*h**3*i**3*p + 5*h**3*p**3 - h**2*i**3*p**3 + 3*h**2*i*p**3 + 9*i**3*p**3 wrt h?\nAnswer: -18*i**3*p + 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 7:08 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -3\/8 (c) 1 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00868262 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 285 = 815. Let m = i - -95. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 26711 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mzzzzyy. Give prob of sequence myz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**8\/((b*b**(-2))\/b)*(b**(3\/5)\/b)\/b*b*b**4 assuming b is positive.\nAnswer: b**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 26 - (40 - (4 - -41) - -47)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 69, 0, 35, -3 in ascending order.\nAnswer: -3, 0, 35, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 96911\/19880 + 1\/4970. Calculate the common denominator of 236\/(-64) + -2 - -1 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -35, -10, -12, 28, -5 in increasing order.\nAnswer: -35, -12, -10, -5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -14 and 9877.\nAnswer: -138278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 12\/47 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2352\/140)\/(-42) + 976\/115 + -8?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = -z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 322 divide 4242820340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**2 + 2*k + 3. Let p be a(2). Let z be 2 - (-3)\/p - 0. Let s(y) = -y**2 + 6*y + 7. Let u be s(5). Solve 0*v = -z*v + u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m + 18 - 3 - 15*m + 3*m. Let n(c) = 5*c - 5. Let o(q) = 3*i(q) + 8*n(q). What is the derivative of o(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1381362402 to the power of 1\/2, to the nearest integer?\nAnswer: 37167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9 - -3. Let w be ((-3)\/2)\/((-3)\/j). Let z = w - -4. Solve 2 = l - z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 4462120488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100011000001000000 - 10101001?\nAnswer: 100010111110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2*x + 4 = 26, 0 = -2*v - 2*x - 20. Let u be 3*((-542)\/v + 0). Suppose 2*a = 5*j + u + 171, 4*a = 4. What is j rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21 + 27. Solve -8 = -y*f + 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 72 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 5*g - 12, 0*g - 4*g + b = -10. Suppose 5*i + 4 = -3*x, x = g*x + i. Solve -x*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -163, -178, -193, -208?\n\"Answer: -15*j - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 185021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29 + 494\/(-7) - -41.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10.3 + -9.81. Let c = -0.01 - x. What is the second biggest value in c, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -33425420830 to the nearest one million.\nAnswer: -33425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9897488 is divided by 303?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is d in -d**5 + 151440*d**4 - 1514336*d**3 + 5451536*d**2 - 8480112*d + 4845760 = 0?\nAnswer: 2, 4, 151430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1175 (c) -3 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 6541324, 13082663, 19624012, 26165371, 32706740?\n\"Answer: 5*q**2 + 6541324*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 5*r - 16. Let c(g) = 231*g + 44. Let p(a) = -51*a - 11. Let o(n) = 2*c(n) + 9*p(n). Give 5*d(h) - 8*o(h).\nAnswer: h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 2*t - t + 11, -3*t = 5*l + 1. Let x = t + 66. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20079675 divided by -24339.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 447281, 894562, 1341843, 1789124, 2236405?\n\"Answer: 447281*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a*h*m**3*u + 75*a*m**3*u - 7*a*m**3 + 25*h*m**3*u + 3*m**3*u with respect to h.\nAnswer: a*m**3*u + 25*m**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.131, 2\/7, 53, 23\/2 in increasing order.\nAnswer: 0.131, 2\/7, 23\/2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6\/10)\/((-7)\/(-70)). Suppose 114 = 3*f + g. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iwiwxq. What is prob of sequence qi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 3. Let v be (3\/9 + f)*18. What is the tens digit of (-1 - (0 + v)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 10 - o - 6 - 10 + 6. Let k(u) = -389*u. What is g(k(z))?\nAnswer: 389*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 321068?\nAnswer: 2, 11, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 226 by 1.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/4, 5, 2\/3, 5.6?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 829*o + 229529. Calculate c(-277).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 1 + (-3 - (1 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -713 or -720?\nAnswer: -713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21592 is divided by 1271.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 3 = -q, -5*q - u - 46 = -31. Let f(o) = -5*o - 12. Determine f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Put together 375679 and -1110.\nAnswer: 374569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 86*m = -31*m - 47*m + 2296 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53 = 3*y + 8. Let x be 0 - 0\/1 - -10. What is the highest common factor of x and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 21 = -f, 0 = -4*f + 3*w - 1 - 15. Let n be 1\/((-8)\/(-6))*4 - f. Solve -c + n = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/42? (a) 0.68 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 2:12 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 756504253 to the nearest integer?\nAnswer: 27505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5576 and 1640.\nAnswer: 27880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -56 (base 12) to base 3.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 111*f**2 - 67*f - 37. Is j(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 7:31 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*g**4 + 75*g**3 - 38*g**2 + 152*g - 18?\nAnswer: -36*g**2 + 450*g - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 2 = -3*w. Let z(b) = -b**2 + 3*b + 2. Let r be z(w). Let a be (-4 + 4)\/(2*-1). Solve 2*p - 8 + r = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/33 in -4\/3, 5, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -194077 plus 537957?\nAnswer: 343880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in -2\/9, -0.062, -0.1, -0.22, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*j + 3*m - 10, 3*j = 3*m - 12. Let a(p) = 3*p**2. Let z be a(j). Suppose -5833*t = -5818*t. Solve z*w - w + 2 = t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 107137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 20? (a) 2.4 (b) -3 (c) 3 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 80 + ((-4)\/(-6))\/(2\/(-9)). Suppose 0 = 12*l - a - 127. What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/10*40\/8)\/(31798\/3669)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l + 4*l - 30 = -5*p, 3*l = p - 16. Let n(w) = -w**3 - 5*w**2 - 3*w - 6. Give n(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 + 22*j + 6. Let s be o(-22). What is the highest common factor of 195 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -949, -3257, -7065, -12367, -19157, -27429, -37177?\n\"Answer: c**3 - 756*c**2 - 47*c - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 277925000 rounded to the nearest one million?\nAnswer: 278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 20122112 (base 3) to base 12\nAnswer: 297b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -151, 2, 1.\nAnswer: -151, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 34 + 33 - 30 - 55?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 77*h**3 - 56*h**2 - 160*h - 37. Let j(r) = 115*r**3 - 84*r**2 - 240*r - 55. Let a(o) = 5*j(o) - 7*t(o). Factor a(l).\nAnswer: 4*(l - 2)*(l + 1)*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16669\/6 + 2778. Which is the third biggest value? (a) -0.1 (b) 2 (c) z (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 620069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 5, 283313, -5 in increasing order.\nAnswer: -15, -5, 5, 283313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 1343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/18 and 2\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/2 - 94*q**2 - 1085*q\/2 + 637.\nAnswer: -(q - 1)*(q + 7)*(q + 182)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/(-3) + (-20)\/(-42). Let o = 1885.8 + -1886. Which is the second smallest value? (a) 5 (b) m (c) -2\/5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -202*m = -200*m. Solve m = -7*f + 7 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/(-3) - (-5024)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 210*c**4 + 22581*c**3 + 5*c**2 - 24049*c + 1268 wrt c.\nAnswer: 2520*c**2 + 135486*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/94564 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from aaayayy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -7637 by 4.\nAnswer: -7637\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 875 (b) 4 (c) 116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**3\/5 - 526*l**2\/5 - 190698*l\/5 - 2390274.\nAnswer: 2*(l - 485)*(l + 111)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 5, g: 4, u: 5, y: 3, t: 1}. Give prob of sequence uyy.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 51.013 + -51. Let j = h + -0.013. Which is the closest to -0.1? (a) -3 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18*p - 7*p - 3*p to m*p + k and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 9.5. Let k = -0.4 + r. Which is the second smallest value? (a) 4 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -5\/27 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2.96, -1261, -3 in descending order.\nAnswer: -2.96, -3, -1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - -1*sqrt(200))*4)*-6)\/(sqrt(196)*-2*-5 - (1*sqrt(196)*-6 - sqrt(196))).\nAnswer: 30*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9237560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -14 + 18 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 20. Suppose -2*b + g + 52 = 0. Let q = -670\/21 - -94\/3. Calculate the common denominator of q and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23777 divided by -10?\nAnswer: 23777\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 246964 and 493928.\nAnswer: 493928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 4, y: 6, p: 4}. What is prob of sequence gpy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**7\/1680 + 11*n**5\/60 + n**4\/12 - 2*n**2 - 2*n. Let i(p) be the third derivative of c(p). Let g(q) = 9*q. What is i(g(h))?\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 116 + -111. What is the remainder when 28 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2236199.\nAnswer: 7, 61, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18 - 13) + (1 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35173.\nAnswer: 17, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16877 - 16033. Solve -r*b = -848*b + 28 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3214 + -3211. Let p(k) be the first derivative of -40*k + 385\/4*k**4 + 49*k**5 - 110*k**j - 130*k**2 - 14. Suppose p(h) = 0. Calculate h.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -9 (b) 4 (c) 0.1 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 5*w + 20. Let h(i) = 3*i + 10. What is -7*h(s) + 4*r(s)?\nAnswer: -s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -1659*v = 2*f - 1658*v + 11, -4*v - 3 - 1 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the first derivative of -o**3\/3 + 9. Let c(t) = -8*t**2. Give y(c(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2.4 times -3\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -82 + 6376*u - 89 + 87 + 84 to s + l*u and give l.\nAnswer: 6376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be 16\/7 - 4\/14. Suppose 2*b + 6 = -5*u - 14, -b + g*u = 1. Calculate the remainder when ((-21)\/b)\/((-2)\/(-10)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*a - 115050 = 129150. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -3*y**2 + y + 6. Let h be d(0). Solve 4*m - 11 = 4*f + m, -h = 2*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 222 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*p + 3*p**3 + p**2 + 3*p**2 + 101*p**4 - 83*p**4 - 2 - 3*p**2 - 4 to v + l*p + c*p**2 + o*p**4 + k*p**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 PM and 6:13 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 6 - 18. What is the least common multiple of g and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, o: 2}. Give prob of picking 1 i and 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is ((-439)\/2)\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -68, -139, -214, -293, -376, -463?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68972*m**2 + 184*m**3 - 68972*m**2 - 185*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -7. Let q = 0.03 + -0.38. Let m = q + 0.25. Which is the nearest to m? (a) y (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -25 - -11705?\nAnswer: 11680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i + 3*h + 286704 = 11*i, 0 = -i + 3*h + 71667. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7583*r - 440 = 7573*r for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 19030, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0010255 to 5 decimal places.\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/4179 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 18662361871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-2) + 9\/2. Suppose p*h + 12 = 0, 2*b + 16 = -5*h - 5. Let i(a) = 3 + 2*a + 0*a + 0 + a**2. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (-237)\/2*6\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 - 14*c + 9. Determine j(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27, -21, -11, 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, m: 1, r: 1, j: 2, f: 4}. What is prob of picking 1 j and 1 k?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, u: 4}. Give prob of sequence un.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 925*c**2*r + 3*c**2 + c*k*r - 2*k*r**2 + 383*k wrt r.\nAnswer: 925*c**2 + c*k - 4*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -0 - 5, 2*m + 5*n = 43. What is f in -2*f + 5*f**2 - m - 2*f**3 - 4*f**4 + 5*f - f**4 - f**5 + 9*f**2 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -209970 divided by 41994\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l\/(l\/l**(-2\/43)))*l**(-2\/5)\/l)**(11\/7) assuming l is positive.\nAnswer: l**(-3201\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -16565 + 4936?\nAnswer: -1172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -117 - -24. Let n = -51220841 + 51220934.000094. Let r = n + b. What is r rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 24437, 24445, 24457, 24473, 24493, 24517, 24545?\n\"Answer: 2*h**2 + 2*h + 24433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3301 + 1015?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 21205516.43 rounded to the nearest one hundred thousand?\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.0442 + 12.2958. Let q = x - 13.4. What is q rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-69)\/(-92)*((-5 + -3 - (-1 - 1)) + 8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1065.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1*-1330104\nAnswer: -1330104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 10*y**3 - 1041*y**2 + 113*y + 3. Determine q(104).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2023380 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5526337441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 3*i - 598, -2*i + 0*r = 3*r - 400. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) + (1*sqrt(80))**2 + -4)*5.\nAnswer: 20*sqrt(5) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -11*n**3 - 5*n - 15.\nAnswer: -33*n**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-8) - 153\/252)\/((-2)\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 303 <= 305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -2*t + 7. Let l be r(5). Let p(v) = -2*v**3 + 5*v. Let i(h) = h**3 - 3*h. What is l*p(s) - 5*i(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 - 8*p**2 + 10*p + 2. Let x be j(-9). Let i be (-72)\/x + 10\/(-35). Calculate the highest common factor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 580969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -386, -397, -408, -419, -430, -441?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -13168*q + 1145573. Determine a(87).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -543049, -542835, -542621?\nAnswer: -542407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000477656 rounded to 6 dps?\nAnswer: 0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 21426874 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {m: 4, y: 2, k: 5, i: 4, r: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -45 + 19. Calculate the common denominator of 31\/14 and (v\/(-96))\/((-2)\/(-2)).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, f: 5, x: 1, e: 1}. Give prob of picking 2 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.0441548 from 5150.\nAnswer: 5150.0441548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8586375 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -802*w**2 + 60*w - 161*w + 101*w.\nAnswer: -802*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 4*q**3 - 6*q**2 + 3*q + 229. Let i(n) = -11*n**3 + 14*n**2 - 7*n - 449. Calculate -3*i(j) - 7*o(j).\nAnswer: 5*j**3 - 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*l + 3. Suppose -519 = -l*k + 1903. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 45756?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -14 - (10 - -28 - 59).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 186871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -16be - -3608?\nAnswer: 1e39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3269652152 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(57))\/sqrt(3) + 2*-2*sqrt(19).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-4\/11)*z\/(z\/(z*z**(-18))) assuming z is positive.\nAnswer: z**(-191\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-2\/3))**(-28)*(c\/(((c\/(c*c*(c*c**(-2))\/c*c))\/c)\/c))**28 assuming c is positive.\nAnswer: c**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1439*0.03893\nAnswer: 56.02027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 - 6. Does 3 divide (2 - p)*1 + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 84040*i + 477079 wrt i.\nAnswer: 84040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -146 - -143 - (-51 + -2) - (-6 + -3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -69367080 by -603192.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 39 - 46. What is the biggest value in 2, s, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59428268 is divided by 1846?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 10.7*75.508\nAnswer: 807.9356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 11024.\nAnswer: 99216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -4*c + 4, -i + 22 = 5*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + 1)) + sqrt(2) + 3)**2.\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4\/35 + -19\/140. Let i = 62 + -311\/5. Which is the biggest value? (a) s (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 132215980 to the nearest integer?\nAnswer: 11499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 86215.91t to grams.\nAnswer: 86215910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2. Let l(u) be the first derivative of u**4\/24 - u**2 - 3. Let a(c) be the second derivative of l(c). Calculate a(t(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -426 + 58 + 1755*j**4 - 565*j**4 - 437 + 55 wrt j.\nAnswer: 4760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 c when three letters picked without replacement from cfccfccffccffckccfck.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -a*v**2 - 87653166*a*v - 1085370661*a wrt v.\nAnswer: -2*a*v - 87653166*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0344 * -5.\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 149 - -61. Suppose 6*x = -x + w. Let o(u) = 4*u**2 + 6*u + 5. Let b be o(-4). What is the highest common divisor of b and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -2*r + 1765, 3*r + 316 + 265 = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(((g**(2\/3)*g)\/g)\/g*g*g))\/((g*g*g**4\/g*g)\/g))\/(g**(-2\/7))**28)**(-22\/3) assuming g is positive.\nAnswer: g**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 18978637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - 4. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of 29*v**5\/60 - v**4\/3 - v**3 + 2*v**2. Let a be r(6). Round a to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 + -5. Suppose -4 = q, j*c + 1 = -q + 2. Suppose 0*m - c = -m. Sort 0.3, m, -3 in decreasing order.\nAnswer: m, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4976796 by -2488398.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**2 - 7*j - 6. Let b be x(-4). Let o = 4 - b. Sort -3, o, 5.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4592 divided by -2213.\nAnswer: -4592\/2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 715 (b) 0.3 (c) 2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together 13 and 171237829.\nAnswer: 171237842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 7*33\/77*(-8)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2153 + 6624 = 67*n. Calculate the remainder when 445 is divided by n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*((-3)\/(-2))\/1. Suppose k + k - 8 = 4*a, d*a - 2*k + 8 = 0. Let j be ((-3)\/15 - a)*2. Which is bigger: j or -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9574.\nAnswer: 2, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 46, 0 in ascending order.\nAnswer: -4, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 5*j - 3*d - 2*d, 0 = -2*j - d - 15. Suppose 22*p = 59 + 29. Let o(m) = m**2 - 12*m + 26. Let y be o(p). Is y greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 0*u**3 + 128267*u**2 + 5*u**3 - 128212*u**2 + 50*u = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 242*a - 37. What is u(1)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -319, -2\/123 in decreasing order.\nAnswer: -2\/123, -0.3, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j + 2. Let a = 19 + -24. Let y(q) = -q**2 - 2*q + 5. What is a*t(g) + 2*y(g)?\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 + 6 - 6)*(4055 - 74*z - 4055) to the form g + d*z and give d.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 - 64*c**2 - 17*c - 1964. What is l(-64)?\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 - 9*o + 26. Let x be n(4). Is 16\/(x\/(-54)*-2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39 - 11 - 303*c**2 + 59 - 9.\nAnswer: -303*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -525, -1051, -1575, -2097, -2617?\n\"Answer: k**2 - 529*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 5*w**2 - 15*w + 9. Let t(y) = -6*y**2 + 16*y - 11. Determine 5*r(m) + 4*t(m).\nAnswer: m**2 - 11*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2194 + -19772\/9. What is the biggest value in -1\/6, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2*-1)\/24 + (-11271)\/7956.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8651 + 8656. Sort -1590, 2, c.\nAnswer: -1590, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 178362187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 128, 0.1, -2\/37, -1, 2, -6 in increasing order.\nAnswer: -6, -1, -2\/37, 0.1, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4528 and 1175299.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 739892066*g**3*i**3*n**2 - 56*g**2*i**3*n**2 - 942*g**2*i**3*n + 23*g*i*n**2 - 6*g*n wrt g?\nAnswer: 4439352396*i**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uedcedb. Give prob of sequence buce.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (20*t - 7 + 7)*(0*t - t + 0*t) - 2*t**2 + 55*t - 55*t + 1.\nAnswer: -22*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6 + 2)\/((-2)\/(-5)). Suppose 5*o - 2*f = 1 + 1, 2*o + 5*f = 24. What is the highest common factor of o and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9780 is divided by 159?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(1053) + sqrt(1053) + sqrt(1053)*1)**2 + -2 + -3 - (-2 + (-2*sqrt(1573) - 5*(sqrt(13) - (sqrt(13) + sqrt(78)\/sqrt(6)))**2)).\nAnswer: -56800 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 17*g - 7 - 27. Let i(p) = 58*p + 3 + 0 - 57*p + g. What is i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 40 = -8*u, -4*u + 69*y - 68*y = 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 3*m + 0*m - m - 3*m - 4. Let w be n(-7). Solve -y = -4, w*b - 18 + 49 = 4*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1499 is divided by 1495.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of -27*g**5\/5 + 38*g + 12. Find the first derivative of i(n) wrt n.\nAnswer: -108*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is aa5 - -75860?\nAnswer: 76855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 + i**2 + i - 5. Suppose -2*j = f - 6*j - 18, -24 = -5*f - 2*j. Suppose 4*n - 3*m - 21 = -f, -3*m = 3*n + 15. Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v**3\/7 - 2112*v**2\/7 - 16704*v\/7 - 33280\/7 = 0 for v.\nAnswer: -520, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, y: 2, j: 1, h: 1}. Give prob of sequence yjy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17*(-285)\/2907*3*-10*1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -36 divided by -67\nAnswer: 36\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the second derivative of -24*n**6\/5 + 5*n**4\/6 + 7*n**2\/2 - 15*n - 4. Find the third derivative of h(i) wrt i.\nAnswer: -3456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 30*a - 30 + 60 + 8*a - 371 wrt a?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-9)*((-84)\/56)\/(1\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 179478 divided by -18\nAnswer: -9971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 11*f**2 + 21*f - 40. Let r be l(9). Let q be 523\/(-35) - -1 - 3\/(-21). Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-898)\/(-14) - 5 - -7. Let o = h - 426\/7. Is o > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 165330.\nAnswer: 165330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/10 + 173869*h\/2 - 434672\/5.\nAnswer: -(h - 869344)*(h - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 9*i**3. Let t(f) = 8*f**3. Calculate 4*s(c) - 5*t(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 215 + -231.1. Let y = d + 16. What is the nearest to -2\/3 in y, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -181.882 - 0.118. Let u = s - -183. What is the nearest to 4 in 3, -0.2, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 3*m - 24 = 0. Let l = 8 + m. Suppose 16 + 0 = l*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = x, 2*u + 4*x = u + 182. Suppose 4*s + 3*q = 19, 2 = q + 1. Let w = s + u. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d + 5. Let h be (8\/20 + 0)\/(1\/625). Let z = h - 250. Determine l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiijjhjjiiiiiijh. Give prob of picking 1 i and 1 h.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -402.1 + 1.\nAnswer: -401.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 - 6. Let z be l\/15 - 2\/3. Solve p = -3*t - z + 2, -4*p + 3*t + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*t + 0*t + 2*t)*(-3 + 3 - 1)*(2 + 0 + 0 + 4 - 4 - 1 + (3 - 4 - 1)*(0 + 0 - 2) - 55 + 10 + 5) in the form k*t + n and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 200 - 62 = 6*w. What is the remainder when 89 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106968171 is divided by 172.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -124683 or -124883?\nAnswer: -124683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of f**5\/30 + 190*f**2. Let t(j) = 698*j**2. Determine m(t(z)).\nAnswer: 974408*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 26*q = 38. Let p be (5 - 19\/q)\/(3\/(-56)). Suppose n - 3*n + p = 0. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((6*(-5*2*sqrt(200) + 5 + (0 + sqrt(200) - sqrt(200))))**2 + 3).\nAnswer: -216000*sqrt(2) + 4325418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 33448845611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1396)\/(-12564))\/((-87)\/9).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 393171636 divided by -98292909?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 155657946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*u + u**2 + 0*u + (u**2 - 6 + 2*u + 6)*(-6 + 3 - 6).\nAnswer: -8*u**2 - 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -248795 bigger than -248804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 72 by -240174.\nAnswer: -4\/13343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (30 + 7 - r**2 + 4*r**2)*(-5*r - 7*r + r) in the form m*r**2 + k*r**3 + d*r + t and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 - 5*y**2 - 6*y + 1. Let t be z(6). Let f(c) = -2*c + 136. Let w(x) = x + 1. Let u(q) = t*f(q) + 3*w(q). Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 PM and 7:35 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 832.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6 + 6. Suppose 0 = -7*i + 3*i. Factor y - 1\/4*b**2 + i*b.\nAnswer: -b**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2. Let w(i) = -i - 8. Let f(b) = -4*v(b) + w(b). Let y(j) = -70*j**2. Determine y(f(x)).\nAnswer: -70*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -29465 - -58929\/2. What is the third biggest value in 1, 935, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 340 divide 61384783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 479103?\nAnswer: 3, 159701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 193 times -4\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**19)**1)**(16\/9) assuming f is positive.\nAnswer: f**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**3 + 3*j**2 + 13*j - 8. Let m be s(5). Let p = 141 - 140. What is the greatest common divisor of m and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-816)\/1224)\/((-8)\/192)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -34017 by -6.\nAnswer: 11339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23.2 - -23. Which is the fourth smallest value? (a) p (b) -2 (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -145 - (-2 - (-30)\/9)*-3. Which is bigger: g or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -9*w**3 - 127*w**2 - 39*w - 14. Give n(-14).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeeeejeeejejejeeej. What is prob of sequence eee?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 798 and 2660.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1\/(-21))\/((-15)\/(-18)))\/((-7)\/(-35)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-10)*0)\/((-1)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the second derivative of n**3\/3 + n**2\/2 + n. Let a be b(1). Differentiate 3 - 3 + a*i**2 - 6 + 3 with respect to i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3882 + ((-6)\/30)\/((-2)\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1908648 by 5.\nAnswer: -1908648\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mom when three letters picked without replacement from {e: 3, m: 8, o: 1, c: 6}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/540*-5 + (-79)\/27 + 3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9.44 - 0.44. Let k = -50 - n. Let c = k - -59. Sort 1\/4, -16, c.\nAnswer: -16, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 0)*45\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2476364?\nAnswer: 2, 11, 23, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -7 (b) -48 (c) -5 (d) 1\/6 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -39 - -43. What is the common denominator of 77\/10 and (l\/88)\/(-1)*102?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(0 + (sqrt(153) - -2*sqrt(153)))*-2)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(136)\/sqrt(4) + sqrt(2176) + 1*sqrt(2176))\/(4*sqrt(4)\/sqrt(2)*-1).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (36\/225)\/(7\/(-35)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(176)*3 - (0 + sqrt(176) + 1*sqrt(176) + sqrt(176)))**2*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 281.29 + -280. What is k rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {o: 2, b: 2, i: 5, e: 6, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.333067 - -2.332. Round l to 5 dps.\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r - 4*v + v = 0, v = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 274.5 + -258.69. Let m = 15 - u. Let d = m - 0.19. Which is the biggest value? (a) d (b) -7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*n**6*t**3 + 1033*n**6*t + 29*n**2*t**3 - n*t + 72 wrt n.\nAnswer: -360*n**3*t**3 + 123960*n**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 320 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000031432 rounded to 7 dps?\nAnswer: -0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of b**4 - 505881*b**3 + 4*b**2 + 319*b - 55 wrt b?\nAnswer: 24*b - 3035286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.42 - -0.4. Let j = u - 0.08. Let i = -30 - -151\/5. Which is the third biggest value? (a) i (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7c2 + 4?\nAnswer: 7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00088 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 940 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 12*p - 1280 = 0. What is the common denominator of (-425)\/p - (-3 + 2) and -43\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 7*t - 23. Let q(p) = -4*p + 12. Let y = -13934 - -13931. Give y*i(v) - 5*q(v).\nAnswer: -v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the second derivative of -3\/8*t**4 + 133*t + 0 - 5\/8*t**3 + 3\/8*t**2. Determine n so that b(n) = 0.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -15*n + 120. Let u(p) = p + 3. Calculate -5*t(c) + 200*u(c).\nAnswer: 275*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 6*j + 2*g + 400, -j + 4*g = -98. Is -1 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 295643195?\nAnswer: 5, 67, 882517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*10\/(-4)*-1*(-6)\/(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -t - 283, s + 2*t - 125 = -26. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*f + 137*f + 881 = -187*f - 3571 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 10 = -2. Let u be (-39 + 11)*j\/(-8). Let x(k) = k**3 - 8*k**2 + 10*k - 8. List the prime factors of x(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 + 5*r**2 - 9*r - 14. What is z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 8.016 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 147198.\nAnswer: 2, 3, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 6, 5, 1.\nAnswer: -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2784 - 3246 = 81*o + 150*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times 8882.33\nAnswer: -1776.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7.97 and 0.04.\nAnswer: -0.3188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 2*m + 13. Let p be g(-9). Let i be -3*(3 - 56\/18). Which is the nearest to -2\/3? (a) i (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of -3*x**5\/10 + 3*x**4\/2 - 2*x**3 - 6. Factor q(w).\nAnswer: -3*w**2*(w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 74*n**3 - 43*n**3 + 38*n - 38*n**3 + 69*n**2 - 34*n**2 - 33*n**2 to the form s*n**2 + u + w*n**3 + m*n and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 3*k = -2, 15*v - 13*v + k + 4 = 0. Which is the nearest to 1\/2? (a) v (b) -0.5 (c) -4 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 32936845 and 740?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5, w: 4, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 77154 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -26 greater than 2263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*q - 196*q + 5659 - 14329 = 10496 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12 - (48\/4)\/4. Suppose -j*p + 12 = -5*p. What is the highest common divisor of 27 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -310 = -4*x - 5*m, -5*x - 3*x - x - 4*m = -277 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (1*sqrt(245)*-1 - sqrt(245)) + 5 - (sqrt(320)*-1 + 0 - (sqrt(320) - (-1 + sqrt(320))*4))*-6)**2.\nAnswer: -2296*sqrt(5) + 33816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567)*2 + 3 + sqrt(63))**2.\nAnswer: 126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 5*s - 3. Let n be c(5). Suppose n*y - 96 = 20*y. Calculate the common denominator of 8\/y - (-80)\/33 and -13\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -q - 120. Suppose 5*s = 3*r + 19, -4*s + 10 = 2*r + 8. Suppose 2*y + q = s*h, -2*h + 118 = -3*y + 2*y. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-45978\nAnswer: -13793.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 12, 7, 14, 39, 88, 167?\n\"Answer: p**3 - 12*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6346*o**2 + 6346*o**2 + 143*o**4 + (5*o**3 + o**2 - o**2)*(3*o + 2 - 2) to the form h + v*o**3 + w*o + k*o**2 + b*o**4 and give b.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j**4 + 100*j**3 - 416*j**2 + 320*j = 0. What is j?\nAnswer: 0, 1, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 65509\/55 > 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 8*g**2 + 2*g + 1. Let v be d(-1). Let w = -849.5 - -850. What is the biggest value in 1, w, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 24.47 and 62453516.7934.\nAnswer: 62453541.2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, 0.1, 113?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -1505.4972 to the nearest integer.\nAnswer: -1505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -31 (b) -0.06 (c) 2 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3854533 and 174824.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -19*t + 38*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2368 + -3?\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1777 - 1637. Calculate the greatest common divisor of z and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 38450056 - 0.1.\nAnswer: 38450055.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5705 in 0.3, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 3*r - 29 = 0, a - 17*r = -12*r + 39. What is the least common multiple of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 68 and 11074514?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**2 - 11*p + 7. Let w be v(-12). Let t(c) = c**3 + 6*c**2 + 2*c - 4. Calculate t(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-1)\/3)\/(2\/(-12)). Suppose 5*p - 3737 - 3988 = 0. Is (-7)\/((-35)\/p) - j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-12))\/((21\/(-210))\/(6\/75)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes after 2:01 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - -43*(4 + -3). Suppose 33*x = 29*x + q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y - 3*q + 8*q + 63, 4*y = -4*q + 56. Let f = 26 - y. Solve 2*x = 3 + f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 42728\/3 - 14242. Sort n, -0.3, 4\/7, -4\/13, 52\/3 in descending order.\nAnswer: 52\/3, n, 4\/7, -0.3, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3520406 (base 11) to base 13.\nAnswer: 13741a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 541 + 2*g**3 - 541 - 5*g**2 + 3*g to the form s + i*g + d*g**2 + b*g**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-4)*(-20)\/15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -1202132 (base 5) to base 16.\nAnswer: -5697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -560 - -558. What is the common denominator of 11 + 4473\/(-560) + 0 + o and -121\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29608633?\nAnswer: 71, 417023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2501*c + 1908*c = -23720 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -0.13341?\nAnswer: -0.066705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5722873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 22 + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8\/(-40) - (-87)\/(-15). What is the units digit of (3\/(-2))\/(s\/628)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 - 29. Let a = 117 + -107. Let f = a + s. Is 1 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-864)\/(-21))\/2*((-11)\/(-5))\/((-15466)\/(-24605))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -527*q**2 - 3*q - 1. Let v be d(-1). Let u = 533 + v. Suppose 2*j = 7*j - 60. Calculate the highest common factor of u and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + 8*y**2 + 8*y + 8. Let p be q(9). Is 9 a factor of (-73)\/(-4) - p\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (6 - 6)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 + ((-2660)\/56 - -17).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -31 + 122310?\nAnswer: 122213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 875 - 495. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 169703\/137400 + -242\/229. What is the common denominator of 103\/384 and f?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 0*m + 340 = 0. Let c = -17 + 22. Suppose -r - m = -c*r. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 157045986 to the nearest integer?\nAnswer: 12532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 88*j**4 - 6926*j**3 - 89186*j**2 - 24792*j + 11880 = 0. Calculate j.\nAnswer: -11, -6\/11, 1\/4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.10827 to 3 decimal places.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1900 or 1948?\nAnswer: 1900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -45\/540206 and 43\/3241236.\nAnswer: 3241236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*m - 10*m - 2*m - 4 = -m, 5*m + 53 = 4*f + 2*m for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29895?\nAnswer: 3, 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -2 - 8*t + 7*t**2 + 6 - 6*t**2. Determine u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 15*g + 14. Is 13 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 852*h**2 + 1704*h - 15. Calculate n(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8\/51 in 279, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 - 4*g + 4. Let p be k(4). Suppose -4*a - p = -o, -4 = 4*a - o + 3*o. Let i(t) = -5*t**3 - 2*t - 1. What are the prime factors of i(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*k - k + 6*k - 5*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 47, 5, 3, -4, -9588, 2 in decreasing order.\nAnswer: 47, 5, 3, 2, -4, -9588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -56.6, 4.2?\nAnswer: -56.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -11448.2 * -0.04.\nAnswer: 457.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 take away -513.2?\nAnswer: 512.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes after 12:28 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 207465?\nAnswer: 3, 5, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1765 - -1986. Calculate the highest common factor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 6, u: 9, t: 4}. What is prob of picking 2 u?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8514382 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -435821 from -0.8.\nAnswer: 435820.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 0*d = 0. Suppose v + 11 = 2*v. Suppose -v*x + 24 = -3*x. Solve d = -x*o + 3 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/6)\/(51\/(-6372)). Let l = r - -13463\/170. Let c = -13975\/6 + 2328. Find the common denominator of l and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1497315.\nAnswer: 3, 5, 173, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 127*i - 31461 = 126*i, 0 = -5*s - 2*i + 39327. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m**2 - 28*m - 30. Let l be q(15). Let u(f) = -f**3 - 2*f**2 + 6*f + 13. Let a be u(-3). Solve b - 3*j - 3 = l, -b - a = 9*j - 5*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12 - 1) + 11 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48, 42, 36, 30, 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 198 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-16))\/(6\/((-2)\/(-1)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 135232 (base 6) to base 10\nAnswer: 12836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -5, 4, -0.2, -0.58?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 59 or 14227\/240?\nAnswer: 14227\/240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**2 - h + 1. Let d(w) = 2*w**2 - 8*w + 8. Let j(l) = -2*l**2 + 15*l - 16. Let x(s) = -5*d(s) - 3*j(s). Calculate -5*k(t) + x(t).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36864014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27 and 537795.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4149 = 1629*c + 11668 + 3731 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i + 6. Let s(w) = 2*w - 7. What is -3*g(m) - 2*s(m)?\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8840*p**2*w**2 + 6*p**2 + 2*p*w**2 - 3*p - 14093*w**2 - 1 wrt p.\nAnswer: 17680*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 5*a + 185 = 0, 2*f + 4*a = -0*f - 84. Let v(m) = -7*m - 140. Let j be v(-25). Let o = f + j. Solve -o*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence re when two letters picked without replacement from {e: 1, p: 6, k: 1, u: 1, r: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -2*h**2 + 11*h + 52. Let y be o(8). Solve 0 = 4*t - 4*u + y, -t - 2*u + 1 = -11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**3 + 8*z**2 + z - 7. Let y be i(8). Sort -2\/7, 2, y.\nAnswer: -2\/7, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12.831 + 0.069. Let o = 13 - a. What is the closest to o in 2, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5 - 0 - (77 - -9). Let v = 84 + g. Suppose 0 = v*w + 5*d - 118, 0 = 5*w - 3*d - 113 - 61. Calculate the remainder when 142 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 736147348 a multiple of 9827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*((((((i\/(i*((i\/((i**(-1\/2)\/i)\/i))\/i)\/i)*i)\/i)\/i)\/i)\/i)\/i)\/i)**31\/(i**(1\/4)\/i*i*i*i**(-2\/5)) assuming i is positive.\nAnswer: i**(-3427\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 122\/(-976) - -2*(-43)\/(-48) - 160\/(-120).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 17 = 3*m, -244*m + 2*v + 5 = -241*m. Solve f = -2*y + 2, -6*f = -m*y - 9*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 42 - 15. Suppose -2*d - t = -0*d - 35, -4*d - 4*t + 80 = 0. What is the remainder when g is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*q - 5\/2*q**2 - 15\/2.\nAnswer: -5*(q - 3)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/3)\/(t\/(t*t\/t**(2\/13)*t)))**(-49) assuming t is positive.\nAnswer: t**(-2891\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 33*s - 36*s - 3*s**2 + 1 + 71*s. What is t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/17720749 and 27\/44948.\nAnswer: 70882996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 181\/40 + -49\/40. Let y = 26 + 45. Calculate the common denominator of y\/(-90) + 4\/10 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-10)*154\/(-33)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 177 and 12390.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 9*o + 13. Let r(t) = 5*t + 7. Let z(n) = -4*h(n) + 7*r(n). Let g = -7 + 2. Let l be z(g). Solve l*j - 6 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 - 4772320 + 4772320 + l. Determine v(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*v - 339 = 264 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (((-48)\/18)\/8)\/((253\/(-11))\/253)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4*((sqrt(156)*-1 - sqrt(156)) + sqrt(156)) + (sqrt(156) - 2*sqrt(156)*3))\/(sqrt(48) - (1*sqrt(5808) + sqrt(5808) - sqrt(5808)) - sqrt(48)).\nAnswer: 18*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (401 - 317) + (-160 - -10)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1510 = -4*w - 1478. Suppose 0 = -c + 2 + 1. What is the least common multiple of w and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -0*m - 12. Suppose -d - 4*d - 29 = -h, -h = -m*d - 25. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((918\/(-8))\/(-17))\/(21\/(-28))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/12)\/(1\/12). Suppose 5*a = 25, 0 = 4*n + 5*a - 15 - 18. Let j be (30\/(-9))\/((-2)\/(-3)). Sort j, -2, s, n.\nAnswer: j, -2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20, 37, 86, 173, 304, 485, 722?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 3*z = 270, 0 = -l + 5*z + 113 - 37. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1052*h - 1058*h = -36 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/1*(-9)\/(-63)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-19986)\/(-27) + (-28)\/126. Suppose 0 = g + v - 24, 5*g - 4*v + 36 = 6*g. Calculate the greatest common divisor of g and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 348102225 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 AM and 9:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -8*a**2 + a + 3. Let n be c(3). What is the units digit of n\/(-8) + (-6)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-1)*5\/((-35)\/28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 86.7098 to 1 decimal place.\nAnswer: 86.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 3595083713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 20 = l, 58 - 38 = 4*b + l. Let y(g) be the third derivative of g**5\/60 - 5*g**4\/24 + 3*g**3\/2 + 2*g**2. What is the units digit of y(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 43*i + 1829. Calculate x(-42).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001546 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6281773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7936\/(-17856)*4\/2*4?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -11891.8512 to zero decimal places.\nAnswer: -11892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000256 rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, 5537 in ascending order.\nAnswer: 0, 1, 5537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:07 PM and 11:00 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k - 2. Let z be r(4). Suppose z*j + 3*q = 39, 27 + 74 = 5*j + 4*q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 112\/35*(-10)\/((-160)\/(-72)*(-51)\/(-85))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2*k = -6, 10 = -x + 2*k + k. Suppose -4*r - 4*b = 16, -x*r = 4*b - 0*b + 8. Let u(n) = 5*n**2 + 3*n. Let q(t) = -t**2 - t. What is r*q(d) - u(d)?\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 - -6. Let f = -0.2 - -0.2. Let o = f + -0.2. Which is the third biggest value? (a) o (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 48.40764 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 195 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 485865 or 485835?\nAnswer: 485865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (6\/12)\/(2\/472). Let h = 123 - k. Solve -3*d = h*q + 2, -q + 2*d + 0 = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0\/(1 + -2))\/(-2). Suppose c + t = 11, k = 2*c - 6*t + 4*t - 6. Does 11 divide 4\/14 - (-75)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 + 75*q**2 - 150*q + 359. Determine v(-77).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 + -11. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.02724 - 0.83234. What is j rounded to two decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23775.\nAnswer: 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19)\/1596*-90 - 12\/(144\/30).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1188*g*t**3 + 16670*g*t**2 - 3*g*t - 11387*t**3 - 42 wrt t?\nAnswer: 7128*g - 68322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -7*z**3 + z**2 - 6*z**3 + 11*z**3 + 35*z - 3*z**2 as n + o*z**3 + l*z**2 + x*z and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 50541 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 99 = -5*c - 0*c, 0 = 2*s - c - 39. Suppose 2*r = -9 + 41. Let q = s - r. Solve 9 = -q*d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lmmbnmnmmnlmmdllbb. What is prob of picking 1 b, 1 m, and 1 l?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 277 bigger than 1389\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 5*h**2 + h + 2. Let p(n) = -18*n**2 - 3*n - 7. Let s(m) = 7*l(m) + 2*p(m). Let b(r) = -r**2 + r - 1. What is 3*b(i) - s(i)?\nAnswer: -2*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25 - -31. Let w(u) = u**2 + 2*u + 4. Is w(o) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -374 smaller than -6\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 + 57*p**2 + 55*p - 55. Let q be s(-56). Let c(j) = -3. Let i(o) = 8. Let m(g) = -11*c(g) - 4*i(g). Let z(u) = u**3 + 1. What is q*m(d) - z(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -41*g**4 - 2*g**2 - 32*g - 11.\nAnswer: -492*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30.8 + -29.8. Which is the biggest value? (a) 0.4 (b) 2\/3 (c) l (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*h = -14*h - 32. Solve 0*b + h = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 4. Let x(g) = -g. Let s(o) = b(o) - x(o). Calculate s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (15 - 11) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(171) + -1 + 5 + -5 + -1 + sqrt(171) + ((sqrt(171) - sqrt(171)*1) + 1)*2) + 1 + -2)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -37b271 (base 16) to base 8\nAnswer: -15731161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20920536691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/5 and -14993 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -558.8287*-0.2\nAnswer: 111.76574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/6*4*(-5649)\/841266. Let i = 3\/577 + o. Do -1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 8*o - 8 = -3*i, -i - 4*o - 24 = 0. Let h be (-2)\/i - 1338\/(-12). Let f = h + -28. What is the highest common divisor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149287530 a multiple of 2055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 60.9042 rounded to one decimal place?\nAnswer: 60.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86443 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20, 159, 554, 1337, 2640, 4595?\nAnswer: 7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 43\/9 + 8\/36. Suppose 2*p = 3*x - 3*p + 17, -5*p + 15 = -5*x. Let i be (2 - (-3 + 1))\/x. Put i, w, 2 in increasing order.\nAnswer: 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 349681?\nAnswer: -5\/349681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*r*v**3 + 2*r*v**2 + 370*r*v + 11*v**3 + v wrt v?\nAnswer: -30*r*v + 4*r + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 1\/11 = -0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (15 + 215*w + 0 - 14)*(-3 - 1 + 2).\nAnswer: -430*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -45*p - 25*p - 420 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 47 + ((-6)\/(-2) - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2640 and 29184?\nAnswer: 1605120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 2*j + 8, -p + 11 = 3*j. Suppose 3*h - 15 = 0, -p*l + 92 - 2 = 4*h. Factor 24*t + 22*t**2 - 12*t**2 - l*t**2.\nAnswer: -4*t*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 5\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 140 + -139.7. Which is the third smallest value? (a) -2 (b) p (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2246 = -5*p + 774. What is the hundreds digit of (p\/3)\/((-10)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g**2 + 11*g - 2. Let v(i) = i - 1. Let w(m) = f(m) - 5*v(m). Let k(z) = 4*z**2 + 11*z + 5. Determine -3*k(j) + 5*w(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 282*q - 278*q - 326271 = -m, 0 = -6*m - 3*q + 1957521. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8358 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 15868*h + 49. Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9610 and 9214316?\nAnswer: 1428218980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 51 - 151\/3. Let c = 92 - 88. Sort f, c, -2\/7.\nAnswer: -2\/7, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 89*h + 2369. Calculate k(-23).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -678 = 5*q - 763. Solve 8*a + q = 4*a + 3*u, 5*u = -2*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47.963 = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 5*t. Let h(q) = -14*q. Let v(k) = -4*h(k) - 11*n(k). Let g(o) = -3*o + 3. Let b(f) = -g(f) - 9*v(f). What is the first derivative of b(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4829 or -4832?\nAnswer: -4829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 2 c when four letters picked without replacement from {c: 2, q: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.1366 + 0.0366. What is the closest to 2\/3 in 0.3, 9, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14319128 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/23474640 and 89\/320.\nAnswer: 93898560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -2*u**2 - 6*u - 2. Let g(p) = -9*p - 2. Let l(o) = -50*o - 11. Let z(a) = 11*g(a) - 2*l(a). What is y(n) + 5*z(n)?\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3144?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**2 + 3*d - 2. Let y be n(-4). Let t(s) = 2*s**2 - 96*s - 197. Let u be t(-2). Suppose y*w = -b + 4 + 34, -3*b = -u*w - 105. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 248148492 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/(-14) + 87\/7. Let j be ((-1)\/(-18))\/(3\/r). Which is the second smallest value? (a) 4 (b) j (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the first derivative of p**4\/4 - 2*p**3 + p**2\/2 - 15. Suppose -4*n + 27 = 5*z, 3*z - z = -3*n + 15. Calculate m(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1 and 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 3*y + 6 + 17 = 0, h + 3 = 2*y. Is -12 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:27 PM and 7:44 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 b when four letters picked without replacement from vzjzobvzvggj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 26 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 797873 and 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(4\/19))**(3\/13)\/(((t\/t**(-2\/49))\/t*t)\/t)**(-7\/3) assuming t is positive.\nAnswer: t**(746\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(1008)*1*-2*-4)\/((1*sqrt(1296)*-1 + sqrt(1296) + (sqrt(1296) - sqrt(1296)*2*2))*2).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**2 + 3*i + 40. Let b(g) = -2*g**2 + 8*g + 121. What is -3*b(x) + 8*t(x)?\nAnswer: -2*x**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(2\/5)*z**(1\/12)\/z)**(-34\/5)*z*z\/z**(-1\/4)*z*z\/z**(2\/3)*(z\/z**(-2))\/z*z**(2\/5) assuming z is positive.\nAnswer: z**(2849\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + m + 15, 2*m = -1 + 11. Let t(u) = -2*u + 3. Let c be t(x). Let o = c - -17. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -80*i - 4704. Let f be w(-63). Calculate the greatest common factor of 147 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, f: 1, r: 5, i: 2, m: 2, w: 1}. What is prob of sequence ir?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-1\/5))**(6\/19))**(-12\/7)*(v*v*v*v**(-2\/3)\/v*v*v*v)**(-4\/15)*(v\/(v**0*v))**(-47) assuming v is positive.\nAnswer: v**(-9508\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 36040.28 millilitres to litres.\nAnswer: 36.04028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5140258 is divided by 268.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2\/7 + 2274*p\/7 - 18765.\nAnswer: -3*(p - 695)*(p - 63)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 6:11 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 2*i + 4 + 40, -56 = -2*w - 4*i. Differentiate 25 + 28*a + 0 + w wrt a.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from wcjljjkukkclwj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**3 + 10*t**2 + 5. Give l(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1388 in 3, -0.1, 0.4, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 883447611.\nAnswer: 3, 294482537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/10*(2\/12)\/(17\/(-102)). Which is the closest to 0.04? (a) -1\/2 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 4 + 7 + -13 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2394961277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - h + 5*k = 19, -12 = 4*h - 4*k. Suppose -3*n + 7 = -h*n. Calculate the least common multiple of n and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -8424 divided by 1\nAnswer: -8424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 11*t + 124. Let p be b(-11). Let d = -787\/3 - -263. What is the fourth biggest value in d, 0.4, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1060075196 rounded to the nearest 100000?\nAnswer: 1060100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnlg when four letters picked without replacement from nnglwllglnnnnn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:46 AM and 6:44 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -27? (a) -5 (b) 0.1 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/20 + 1 + (-12)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 165076, 330091, 495106, 660121?\nAnswer: 825136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 186920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4 and 2012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 24\/607, 13, 3\/5?\nAnswer: 24\/607","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2925, 6318, 9787, 13368, 17097, 21010?\nAnswer: 25143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1.11 rounded to 2 decimal places?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -6 (b) -0.8 (c) -5\/2 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/8, 28809, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -21*d - 139. Let j(l) = 6*l - 1. Let t(x) = b(x) + 5*j(x). Let o be t(16). Solve o = -5*i - 5*c, 0 = -2*c + 4*c - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - g = 16, -3*g - 274 + 527 = 2*w + 290 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2349 - -2351. Suppose 4*w - 228 = x, -2*w + 3*x + 77 + 27 = 0. What is the lowest common multiple of w and p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 764232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x - 6*x**2 + 0*x + x**2 + 9*x**2 in the form o*x**2 + h*x + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10.3 + -10.43. Which is the closest to 0.2? (a) -1 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/14 - (-25290)\/(-70). Let t = r + 362. Which is bigger: t or -1\/545?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5460)\/(-91)*(((-133)\/(-70))\/(-19))\/(1\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 65\/22041 and -43\/17143?\nAnswer: 154287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1500.0838 rounded to zero decimal places?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*q**3 + 864*q + 9*q**3 + 4*q**3 - 26*q**3 + 62*q.\nAnswer: -q**3 + 926*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13 - -24 - 65)*32\/(-256).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (21\/14)\/((-9)\/(-12)). Let l(j) be the first derivative of -j**3\/3 - j + 2. Let u be l(w). Which is the second biggest value? (a) 0.4 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 28090390, 28090388, 28090386, 28090384?\nAnswer: 28090382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 17 in 0.8, -113, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 3 z when four letters picked without replacement from {z: 7, a: 1, u: 1, f: 4}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:41 PM and 8:39 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*g - 3*g + 3*g)*(3 + 2 - 3) + g - 2*g - g - 2 + 2 + g + (1 - 2*g - 1)*(-5 - 14 + 22) to the form z + n*g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -6*l**3 + 2*l**2 - 3*l + 2. Let x(r) = r**2 - 5*r + 5. Let i be x(4). Let o be p(i). Sort 4, -2, o in decreasing order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 AM and 8:48 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 94 + -49. Let z = -179\/4 + y. Suppose -14*v + 8427 = 8413. What is the closest to 6 in -2\/5, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3813, -3814, -3813, -3810, -3805, -3798, -3789?\n\"Answer: u**2 - 4*u - 3810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24 + -8. Let v = 15.99999531 - r. What is v rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-2 + sqrt(272)) + sqrt(272).\nAnswer: -4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 + 9*c + 7. Let n be h(-8). Let t be n - ((-433)\/115 + 2). Let d = -3\/46 + t. Find the common denominator of d and -70\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 5 = 2*w, 17 - 6 = 3*q - 5*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 26.52139l?\nAnswer: 26521.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yxvxvvsvz. Give prob of sequence vx.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 10:12 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the second derivative of 11*t**4\/3 - 34*t**3 - 225*t. Find the second derivative of x(a) wrt a.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1560 = 20*x + 117*x - 2824. Solve -p = 4*o + x - 21, 2*p - 26 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/18*(-12)\/(-8). Let z = -226 - -2036\/9. Put h, -2, z in descending order.\nAnswer: h, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (q + 3*q - 2*q)*(-6 + 7 + 8)*(0*q + q + q)*(-2*q**3 - 3*q**3 + 3*q**3).\nAnswer: -72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 2.2. Let g = -25 + 25.1. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - 2*r - 836, 18*r - 812 = -4*s + 14*r. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o + 14214998 = 2*o. Let q = o + 1388714. Round q to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t**3 + 12*t**2 + 2*t + 17. Let c be l(-6). Suppose -k + 4 = c*s - 2*s, s = -5*k + 20. Solve s = -2*z + 17 - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 135113*h. Let u(x) = -2*x. Calculate l(u(k)).\nAnswer: -270226*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/((-160)\/392) + (-2)\/8. Let v be 121\/12*3 - 3\/y. Solve v = 5*a + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wsrrllr. What is prob of sequence wlsl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 5*i - 70 = 0. Suppose 0 = t - 3, -2*k - 3*t + 66 = -73. Calculate the remainder when ((-24)\/30)\/((-2)\/k) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292458 divided by -237?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -179 and 56.88?\nAnswer: 235.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000074836 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5060 and 915240.\nAnswer: 231555720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -56*n**2 + 12393*n - 3646. What is g(221)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, y: 1, e: 3, g: 5, u: 7}. What is prob of picking 1 u and 1 e?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -9*i**3 + 29*i**2 - 50*i + 7. Is m(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:08 AM and 4:37 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -2612 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 y, and 2 f when four letters picked without replacement from qfsyi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 21432 (base 7) to base 8.\nAnswer: 12364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 p when three letters picked without replacement from {v: 2, p: 6, m: 5, g: 1, u: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**19\/k)\/k**(3\/7))**20 assuming k is positive.\nAnswer: k**(2460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20087243*g**4 + 910994*g**2 wrt g?\nAnswer: 482093832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 51037400 rounded to the nearest 100000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + 11*z**2 - z - 1. Let h be i(-11). Let w = 55 + -63. Let q be (-1)\/(28\/w + 3). Calculate the greatest common factor of h and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7912047 and 7293.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -4*y**2 - 41*y + 185. Let x(g) = -g**2 - 14*g + 62. Let t(a) = 6*n(a) - 21*x(a). Factor t(u).\nAnswer: -3*(u - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16 - 12*i - 27*i - 14 to b*i + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 2453 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 283 is divided by 87.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 2*i - 3*i = -20, 4*i = 3*w - 3. Suppose 3*k - 40 = 2*b + 35, -5*b - 180 = -w*k. Let t = 182 + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (7 - (9 - 7) - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 240 = -4*p, -i + 114 = 2*p + 4*i. Let a = p - 57. Suppose 372 + 233 = a*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**3 + 13*c**2 - 8*c - 24. Is u(-13) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1021020200201212 (base 3) in base 12?\nAnswer: 6118a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3386 is divided by 424.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 170 - 1192\/7. Which is the third smallest value? (a) 0.1 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*g - 4*g - 2*g + 5*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 4, k: 10}. Give prob of sequence kk.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15040 and 6272.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {l: 6, z: 8, q: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10696 + -10696.05431. Round l to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*q**2 - 118 + 23 + 95 to the form d*q**2 + y*q + r and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 350627541 to the power of 1\/2, to the nearest integer?\nAnswer: 18725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -39. Solve -84*j**3 + 36*j + 8 - 5*j**2 - k*j**4 + 9*j**2 + 68*j**4 = 0 for j.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 + 3*b - 37. Let h be d(-8). Let l(f) = 2*f**3 - 2*f**2 - 3*f + 3. Give l(h).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n - 10 = -5*z, 2*n + 2*z - 368 + 364 = z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 572934 divided by -190978.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 3*i + 4*d, -8*d = 5*i - 9*d + 24. Let w(f) be the third derivative of 0*f + 7\/24*f**4 + 1\/3*f**3 + 1\/60*f**5 - f**2 + 0. Calculate w(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12232 - -21?\nAnswer: 12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8013173, -16026349, -24039525, -32052701, -40065877?\nAnswer: -48079053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 - -645?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 6539 = -4*h + 12953, -2*z - 2*h = -38942. What are the prime factors of z?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7940909?\nAnswer: 509, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12*j**3*p*x - 2*j**3*p - 4351*j**3*x**2 - 2*j**2*p*x**2 - 4*j**2 + j*p*x**2 - 89*j*p*x - 8*j*x**2 - 3*x wrt j.\nAnswer: 72*p*x - 12*p - 26106*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-4 + (4 - 5)) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -13*a**2 - 13*a - 38. Let h(t) = 3*t**2 + 3*t + 8. Let c(z) = 9*h(z) + 2*r(z). Let f(o) be the first derivative of -o + 5. Give -c(m) + 6*f(m).\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (7 - 9)\/(1\/(-334)). Let m be 3364\/s*(-1)\/3. Let d = m + 2\/167. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 - 11*u**2 + 10*u + 4. Let o be y(10). Solve h - o*x = -15 + 35, 0 = -2*h + 3*x + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aydoyqxq. Give prob of sequence dx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -18d + -839?\nAnswer: -9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - k = -41, -6*k - 4638 = -4*c - 4684 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 89735 or 89614?\nAnswer: 89614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*a + 4*p + 4, -5*p - 4 = 3*a. Suppose a*s = -3*s + 15. Suppose -g = 3*b - 6, s*b - 21 = 4*g - 90. Calculate the remainder when 28 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4 - (-4)\/(-2) - -3. Suppose t + 5*f - 4*f = 97, -u*t - f + 481 = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 6*l + 11. Find the second derivative of -z**2 - 47*z**2 - 93*z + 21*z**2 - 56*z**l wrt z.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 23 = 3*k, 4*k + 0 = -4*v - 68. Let j(i) = -5*i - 22. Is j(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 + b**2 + 2. Let f be w(0). Suppose -3*g = 12, z - f*g = -2*z + 35. Solve -3*r - 5 = -4*o, r + o - z = -3*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((351\/(-27))\/(-156))\/((2\/2)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.44323 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 8 - 4. Suppose -j - d = -4*j. Let s be j + (1690 - 4) + 3. What is s rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -88 - -98. Suppose -3*f = -2*p + 14, -2*p + 5*p = -2*f + 8. Calculate the highest common divisor of k and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -2.36.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 405 a factor of 62021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -5*q - 26, -2*i + 2*q + 82 = 7*q. Suppose 4*h + i = -5*h. Let l be 4\/6*10\/30. Which is the second biggest value? (a) 1\/2 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 498 - 388. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 + -26 - (2610\/24)\/(62\/8)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14 + 24 + 186*y - 9.\nAnswer: 186*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2*g - 40. Let b(c) = c - 20. Let n(d) = -9*b(d) + 4*y(d). Calculate the smallest common multiple of n(0) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6188725 is divided by 5405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9690840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the third derivative of -274*b**5\/15 + b**4\/12 + 2345*b**3\/6 - 2289*b**2. Find the first derivative of a(d) wrt d.\nAnswer: -2192*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 34\/85*(-410)\/(-8) + (-3)\/6. Solve 0 = -25*b + c*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -2*o**2 + 2*o. Let r(y) = 0*y - 2*y + 0*y + 2*y**2. Let i(a) = 6*a**3 - 2*a + 1. Let g be i(1). Give g*u(z) + 4*r(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -976, -1986, -2994, -4000, -5004, -6006, -7006?\n\"Answer: q**2 - 1013*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 206*d = 120*d - 430. Let m(g) be the third derivative of 0*g + 1\/4*g**4 - 2\/3*g**3 - 2*g**2 + 1\/60*g**5 + 0. What is m(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7657 (base 9) to base 5.\nAnswer: 140031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -988\/5*f - 2\/5*f**2 - 122018\/5.\nAnswer: -2*(f + 247)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 48, 2, -7801, 3 in decreasing order.\nAnswer: 48, 3, 2, -14, -7801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, 35 in increasing order.\nAnswer: -4, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 1405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 + 6*o**2 - 2*o + 8. Suppose t - 5*v - 16 = 0, v + 4 = -v. Let h be j(t). Let x(i) = -3*i. Determine x(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 55*k**2 + 2. Let n(v) = -16859*v - 2. Give n(y(g)).\nAnswer: -927245*g**2 - 33720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -5, 2, -1 in descending order.\nAnswer: 2, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the first derivative of y**8\/21 + 13*y**5\/60 + y**2 + 1. Let q(x) be the second derivative of l(x). What is the third derivative of q(a) wrt a?\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 750471.\nAnswer: 3, 37, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 894 - 410 = 2*l. Let a = 245 - l. Solve 0 = 4*k - a*j + 23, 4*k + 3*j - 17 = -2*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -61*g**3 - 4*g**4 + 5*g**3 + 4192*g - 4328*g + 196*g**2 = 0. Calculate g.\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/5 + (50512\/40)\/11. Suppose -99 = 8*t - h. Solve 2*x = j - 2, -6*j - 25 = 3*x - t*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/11)\/q)\/q*q**(-10)*q*q*((q**(5\/3)*q)\/q)**48 assuming q is positive.\nAnswer: q**(772\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -174, 0.2, 1\/2, -1\/4, 5 in ascending order.\nAnswer: -174, -1\/4, 0.2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19011 is divided by 4507?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 57018192 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14 - -48. Suppose 0*y + 3*x = y - 2, -4*x = 2*y - a. Suppose 254 = -2*m - f + 251, 2*m = -3*f - 13. Solve m = -4*l - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (886*f**2 - 886*f**2 - 29*f**3)*(-3*f - 2*f + 3*f)*(1 + 1 - 4).\nAnswer: -116*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h - 4. Let p(a) be the third derivative of a**4\/12 + 25*a**3\/6 - 8*a**2 + 2. Let o be p(-8). Give s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 3*v - 2*f + 11, -7 = -2*v - 5*f. What is the smallest common multiple of (3 + v)\/((-2)\/20) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -54*k**4 + 4*k**3 - 8*k**2 - 4*k - 2. Let q(m) = -m**4 + m**3 - 2*m**2 - m. Let i(u) = 4*q(u) - y(u). Find the first derivative of i(s) wrt s.\nAnswer: 200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 5*g**2 + 3*g + 2. Let y(f) = -4*f**2 - 2*f - 2. Suppose 0 = 4*c + 2*k + 10, 3*c + 8 = c + 2*k. What is c*m(s) - 4*y(s)?\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**3\/2 - 6063*a**2 + 12253323*a\/2.\nAnswer: 3*a*(a - 2021)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 225059244?\nAnswer: 2, 3, 307, 61091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 95322559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 97912501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, w: 18}. Give prob of picking 3 w.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/((40\/(-15))\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (4\/8*0 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6432 + -105?\nAnswer: -6540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -396\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.087 or 0.17?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 33*w - 18. Let a be o(1). Is (-5)\/(a\/2721)*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*d + 590*d = -181*d - 28083 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 4. Let j = 1653\/4 + -413. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -9*f - 307. Let b(s) = -6*s - 317. What is 4*b(q) - 3*d(q)?\nAnswer: 3*q - 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 12 (b) 0.05 (c) -349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -5 - (22 + -19) - (-5 - -2 - -8 - -8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1980 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(48)\/sqrt(6))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 14638281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -17159 or -34317\/2?\nAnswer: -34317\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -4, -22466, -274, 1 in decreasing order.\nAnswer: 1, -3, -4, -274, -22466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -6330, -10938, -15544, -20148?\n\"Answer: x**2 - 4611*x - 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 9 = o. Sort 1, 5, o.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h = 6*m - 4*m + 10, -3*h - m - 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1496 divided by 4\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 4*i - 256 = 3*x, -5*i = -x + 26. Solve 2*c = -58 + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 - 2*a**2 - 2*a**2 + 4*a**2. Let c(x) be the second derivative of x**4\/3 + 7*x + 4. Give c(f(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18 + 20. What is the lowest common multiple of (-32)\/(-14) + 4\/(-14) and (n - 4)\/2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*d**3*f**2*p + 38*d**3*f**2 - 24*d*f**2*p - 2*d*f**2 + 23*f**2*p wrt d?\nAnswer: 30*d*f**2*p + 228*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -162 (base 15) to base 10.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g - 1. Let s(c) = c. Let m(i) = -2*b(i) + s(i). Let u be m(-3). Suppose -2*r = u*k - r - 100, -4*r = 5*k - 85. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(76) + 1*sqrt(76) + sqrt(76))*5)\/sqrt(4).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -777.057+0.126\nAnswer: -776.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-135)\/72 - (-173441)\/90360\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*f + 30 - 60 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -25*f**4 - f**3 - 3*f**2 + 2*f + 29. Let k(p) = p**2 - p. Let c(d) = -g(d) - 2*k(d). What is the third derivative of c(v) wrt v?\nAnswer: 600*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 + 6*f + 2. Let q be d(6). Let l(b) = -8*b**2 + 4*b + 8. Let m(o) = -2*o**2 + o + 2. What is q*l(x) - 9*m(x)?\nAnswer: 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7\/14 + (22\/3)\/((-4)\/(-9)). Solve j = 16*g - 47 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 7*z**3 - 5*z**2 + 6*z - 2. Suppose -4*n + 46*u - 43*u = 13, 10 = -2*u. Let f(g) = -8*g**3 + 6*g**2 - 7*g + 2. Give n*r(h) - 6*f(h).\nAnswer: -h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 88, -1, -164 in increasing order.\nAnswer: -164, -1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -3*n - 3. Let y(m) = -3*m - 3. Let h(f) = 3*t(f) - 2*y(f). What is the derivative of h(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the first derivative of -j**2 + 4. Let n(i) = 3*i**2 + 3. Let p(b) = -1. Let a(v) = n(v) + 3*p(v). Determine a(f(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.113, 0.3, 5, 0.0249, -0.2, 0.5?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -462489, -1849953, -4162393, -7399809, -11562201, -16649569, -22661913?\n\"Answer: -462488*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9523698551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16 and 6334954.\nAnswer: 50679632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -75, -69, -61, -51, -39?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-nine halves of a millimeter in micrometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 41*-153\nAnswer: -6273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 236057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/7, -1882815, -0.2, 1\/4 in increasing order.\nAnswer: -1882815, -0.2, -1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 40 and 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*p - 1967 + 332. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 56\/325 (b) -3 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of 7*s**5\/180 + 47*s**4\/12 + 40*s**3\/9 - 6*s**2 - 136*s - 1. Let m(f) be the first derivative of x(f). Factor m(r).\nAnswer: (r + 40)*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*x + 68*x - 11*x - 15*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-36)*o*o**34)\/(o**(-15)*o**(5\/8)) assuming o is positive.\nAnswer: o**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 388152889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 10:23 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1683 and 20988.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -44.9 + 232.9. Let n = 188.09 - l. Put -4, 1\/4, n in ascending order.\nAnswer: -4, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 98, 792, 1486, 2180, 2874?\n\"Answer: 694*t - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (2702\/(-6369))\/(12\/44)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -863*b + 8667. What is z(10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5\/2 in -2\/13, -19, 59\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(528) - (sqrt(528) - -3*sqrt(528)))\/(1*sqrt(147)) - (-1 + ((sqrt(11) - (sqrt(11) + -1)) + -4 - (sqrt(66)\/(sqrt(6) + sqrt(24)\/sqrt(4)))**2) + 2).\nAnswer: -12*sqrt(11)\/7 + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 5. Suppose -4*u = -5*j - 16, 2*j - 12 = -2*j - 3*u. Let r be f(j). Solve 2*k - 7 = -3*k - 3*n, 2*k + r*n = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -536.3 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 7*o**2 + 49*o - 49*o.\nAnswer: 7*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(104)*-6*-2)\/(-6*(sqrt(8) - (sqrt(24)\/sqrt(3) + sqrt(8)))*-1))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -695*y + 2175. Calculate the remainder when 860 is divided by l(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + 5. Let w(i) = 7*i**2 - i + 21. Let o(d) = d**2. Let y(f) = -6*o(f) + w(f). What are the prime factors of y(a)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/37576 and -52\/99.\nAnswer: 338184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6 + -1332605?\nAnswer: -1332566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143 is divided by (-10 - -11 - -59)*(-12)\/(-10)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -57*z - 52*z + 108*z + 6. Let d be (2\/(-4))\/(3\/(-66)). Let t(j) = -2*j + 17. Determine d*c(p) - 4*t(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 9071888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = u - 3. Suppose -u = 2*a + p, -4*p = 3*a + 19 - 0. Let b(f) = -2 + 2 - 2*f - 2*f. Calculate b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9022361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.187 + -0.087. Let y = 0.9 + u. What is the third smallest value in -4, y, -2\/13, 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.14667 to 3 dps.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54955504?\nAnswer: 2, 3434719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -160? (a) 0.5 (b) -4 (c) 4\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c**3 + 5*c**2 + 18*c - 6. What is the units digit of a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 3*f**2 - 170867*f\/2 - 1196363\/2 = 0.\nAnswer: -7, 170909\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29758 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*f + 103474 = -21*f - 82142. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -4*x + 5. Let y(g) = 5*g - 1. Is y(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-73 + 12013\/164)*(-7 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 13411843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 7\/5, -5, -9, -1\/7, 1 in ascending order.\nAnswer: -9, -5, -1\/7, 1, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 555 - 257. Suppose -70 = -f + d. Let y = f - 4421\/12. Find the common denominator of y and -1\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, d: 1, q: 1, j: 5, b: 1, u: 5}. Give prob of sequence qbwj.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 21690925 by 13.\nAnswer: 21690925\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 5*i - 25, 0 = -5*v + 2*v + 9. Sort i, -1, -7, 4 in increasing order.\nAnswer: -7, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -2*y**3 + y**2 + 6*y + 3. Suppose 310*v - 80 = 326*v. Let g(i) = -3*i**3 + 3*i**2 + 11*i + 5. Calculate v*u(c) + 3*g(c).\nAnswer: c**3 + 4*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 804213*b. Let k(u) = 9*u**2. What is j(k(a))?\nAnswer: 7237917*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -6*p**3 - 143*p**2 + 6*p. Let a(j) = -j**3 - 27*j**2 - j + 1. Let i(k) = -5*a(k) + u(k). Determine i(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 8. Suppose 5*r - 4*n = 42, -2*n + x - 46 = -5*r. What is the least common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 + 147*u + 1975. Let x be k(-15). What is the second smallest value in -1\/682, 1\/5, x, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - 4*u + 19 = -5*u - 26, -7*d + 55*u = -2743 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kdwzmmzzdwzs. Give prob of sequence kd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 121*q + 190*q - 924 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -168134, -336255, -504378, -672503, -840630, -1008759, -1176890?\n\"Answer: -f**2 - 168118*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 36.9834001 to two dps.\nAnswer: 36.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -22 + 2*g + 43 - 24 as b + y*g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2630 + 2491. Is w greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-12 + 13 + -1)\/1. Which is smaller: -75\/107 or c?\nAnswer: -75\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00188145498 to seven dps.\nAnswer: -0.0018815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(2 + sqrt(325) + sqrt(26)\/(sqrt(12)\/sqrt(6))))**2*-2.\nAnswer: -33984 - 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 96.6 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-1))\/u*u*u)**18*(u*(u*u*u**(-1)\/u)\/u*u)**(-1\/2)*(u**1\/(u\/(u**(2\/5)\/u)))**(-21) assuming u is positive.\nAnswer: u**(301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 6*z**2 + z + 1. Let f be c(-1). Let m = f + -2. Suppose 0*n - 3*n + 6 = 0. Is m <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, y: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 - p**2 - p - 1. What is d(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 159, 28, 1283 in descending order.\nAnswer: 1283, 159, 28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5 and 23279?\nAnswer: 23274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 7904*y - 28409 = -67929 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9784259.\nAnswer: 19, 131, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8\/51 + -3\/17. Let f be (24\/(-8))\/(6\/(-4)). Suppose 2*n = -f*n - 4. Are n and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u*(u*u**(1\/5)*u)\/u)*u**(1\/15))**22 assuming u is positive.\nAnswer: u**(-704\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 50604681.\nAnswer: -50604682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 8*w**2 - 3*w + 27. Let x(l) = -26*l**2 + 10*l - 88. Let u(t) = -3*x(t) - 10*y(t). Let n(z) = -2*z**2 - 5. Give -7*n(q) + 6*u(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1140 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 365 divide 521552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35 + 39. What is the common denominator of (-27)\/j - (-8)\/(-12)*1 and 10*-7*1\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250481 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 + 1. Let n = j + 9. Suppose 3*r + 0*r - 313 = -n*u, 3*u + 2*r - 235 = 0. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/p**(-6\/5))**(-1\/16) assuming p is positive.\nAnswer: p**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -42.1 (b) 4 (c) -0.7 (d) 3.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 172812*d**3*o**2 - 2*d**3*o*u + 4*d**3 - 695*d**2*o**2*u + d**2*u - 209*d*o*u - d wrt d?\nAnswer: 1036872*o**2 - 12*o*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -1, 42.8, 0 in decreasing order.\nAnswer: 42.8, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12762*m**4 - 5580*m + 2 wrt m.\nAnswer: 153144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.030624 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -141\/5 - -142\/5. What is the closest to d in -5, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**3 + 842*v**2 + 88198*v - 89042.\nAnswer: 2*(v - 1)*(v + 211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 82696093 to the power of 1\/2, to the nearest integer?\nAnswer: 9094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2800150 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 + 47. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1438 (b) -4 (c) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 116 times 47133\nAnswer: 5467428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 + 12. Find the third derivative of 7*r**2 + 16*r + 0*r**g - 16*r + 7*r**3 wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-113586)\/(-2772) + (-163)\/(-6846)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -725*x + 621 = 2071 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -34145 + 34136. Suppose -2*r + 28 = 4*j, 7 + 0 = -2*r + 3*j. Which is the nearest to 0? (a) n (b) r (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 3*j = 8*j + 6, -q + 5*j + 9 = 0. Let c(g) be the third derivative of g**4\/6 + g**3\/6 + 5*g**2. Give c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 456987, 1\/5, -30 in descending order.\nAnswer: 456987, 1\/5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.231 - -16.231. What is the closest to 2\/3 in -0.1, -2, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 7 = 19. Suppose 0*r - 196 = -4*r + 2*i, -3*r + 152 = -s*i. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 62793177?\nAnswer: 62793182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/(7\/((-21)\/6)))\/(364\/182).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-35*g**3 - 83*g**2 + 83*g**2)*(-3*g + 5*g + g) + 2*g**4 - 3*g + 3*g in the form m*g**2 + d*g**4 + i*g**3 + q + n*g and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.76 (b) 1\/3 (c) -8 (d) 5 (e) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*v + 68*v - 16 = 578 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*a**2 + 163922 - 4*a - 163922 + 9*a**3 wrt a?\nAnswer: 54*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -11*q**2 + q - 2. Let g(n) = 1. Calculate -d(p) - 2*g(p).\nAnswer: 11*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -38946 greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 + 0. Let n = w + 13. Suppose 3*q + 1947 = 17*i, 8*i - 1054 = q - 132. Calculate the highest common factor of n and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b**4 - 236*b**3 + 4652*b**2 - 32164*b + 27744.\nAnswer: 4*(b - 24)*(b - 17)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vhv when three letters picked without replacement from hvhvvhvhhvvh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - 7*l + 30. Let j be v(-10). What is the nearest to j in -5\/4, -1\/24, 3?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + g + 8. Suppose 2 - 1 = d + j, -g*d + 20 = -4*j. Find the third derivative of 5*p**2 - d*p**2 - 2*p**2 + 0*p**6 - 3*p**6 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 + 7*b**2 - 9*b - 5. Let y be f(5). Suppose p - 3 - 5 = y. Suppose -i**2 - 2*i**2 - p*i + 5*i**2 + 0*i**2 = 0. What is i?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(26*44\/5434)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -218780909\/3172 + 4623832\/61. Let v = 6829 - r. Calculate the common denominator of -55\/12 and v.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2 (b) -740 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -2445, 4, -3, 14, 1, 3, 5 in decreasing order.\nAnswer: 14, 5, 4, 3, 1, -3, -2445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 172 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 + 2030*a**2 + 20364*a + 1649. What is f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 18, 0.06, -4\/1413, 35?\nAnswer: -4\/1413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21268*j*o**3 + j*o**2 + 5*j*o - 455*o**2 - 2 wrt o.\nAnswer: -127608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -93445, -93436, -93427?\n\"Answer: 9*u - 93454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -53.83 + 53.8300000463. What is v rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -52, -3, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4131 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of t**2 - 1\/120*t**5 - 1\/720*t**6 - 1\/3*t**3 - 1\/48*t**4 + 0 + 0*t. Let v(y) be the first derivative of f(y). Factor v(i).\nAnswer: -(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*b**4*w + b**4 - 8146*b**3*w + 12*b**2 + 610*b*w wrt b?\nAnswer: -48*b*w + 24*b - 48876*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the first derivative of y**3 - 3*y**2 + 3*y - 1. Factor f(w).\nAnswer: 3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10)\/(-15) + (-1180)\/(-30). Let l(z) = z**2 - 34*z - 113. What is the remainder when l(f) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(1*(2 + (3 + -2*sqrt(1872) + sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (-1 + sqrt(1872)) - sqrt(1872)) + sqrt(1872) + 3 - sqrt(1872))) + -2)**2 + 1).\nAnswer: 24*sqrt(13) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**3 - x**2 + x - 4. Suppose -5*g - 17 - 23 = -5*y, 5*g + 4*y + 4 = 0. Let j(b) = 1. Give g*j(a) - r(a).\nAnswer: 3*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-204)\/(-27)*19\/(760\/180)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -55 + 1815?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 8*t**3 - 2*t**2 + 2*t - 12. Let j be r(3). Suppose 2*l = -4*u + j, -2*l + 165 = -0*l - 5*u. What is the highest common divisor of l and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 208*r + 9562 - 11434 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -3da (base 14) to base 4.\nAnswer: -30030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 84, 91, 98, 105, 112?\n\"Answer: 7*i + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3435*b**3*g**2 + 66*g**2 - 7*g - 1 with respect to b.\nAnswer: -10305*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -33 - -46. Let h = 6 - 3. Calculate the remainder when t is divided by (-6)\/(-9) - (-13)\/h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/(6*(-6)\/8). What is the nearest to 1 in -0.07, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1574432.\nAnswer: 2, 49201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000011000000111110 + 100?\nAnswer: -1000011000000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2175\/50 + 3\/(-2). Let g = 12 - k. Let n = g + 33. What is the lowest common multiple of 53 and n?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2132131 (base 4) in base 2?\nAnswer: -10011110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 6*i**2 - 4*i - 3. Suppose o + 3*g - 72 = 0, -15*g + 13*g - 205 = -3*o. Suppose o*c = 76*c + 7. What is d(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-7)\/g**(-7)*(g**(-2\/11))**(13\/7))**8)**(-2\/7) assuming g is positive.\nAnswer: g**(416\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1014.93397 - 1015. Let z = -0.066 - n. What is z rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 3162\/19?\nAnswer: 3162\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 370 + -368.13. Let g = t - 1.869871. What is g rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -6*(-5 + sqrt(208)))**2.\nAnswer: -1536*sqrt(13) + 8512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54*j - 1 + 50*j - 33*j.\nAnswer: 71*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 12692.835 months?\nAnswer: 105.773625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 2 = -10. What is the remainder when 10 - (-1 + (1 + 1)*-2) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 6*v = 4*r + 1142004, 3*v = r + 1713001. Round v to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -16. Suppose c + d = 2*c. Suppose 4*g - 75900000 = c*g. What is g rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -9*g + 15*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1544 + -326. Let i = 2361 - z. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 + 4.8. Let u = -722.27 + 718. Let k = -0.27 - u. Which is the closest to -0.1? (a) 3 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1654 a factor of 127749196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -376*r**2 - 291 + 1278*r - 1278*r wrt r?\nAnswer: -752*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -1*(((sqrt(49) - -3*sqrt(98)\/sqrt(2)) + sqrt(49))\/(-1*sqrt(112)) - 6*(1 + sqrt(35)\/(sqrt(5)*-1)))**2.\nAnswer: -3119\/16 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 8545 divided by 5\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2, 6, 4, -10, -42?\n\"Answer: -q**3 + 3*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 91828672 a multiple of 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 196315, 392673, 589031?\n\"Answer: 196358*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -2*v**2 - 23*v - 13. What is the remainder when 269 is divided by a(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*w - 453*w**2 + 45*w.\nAnswer: -453*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, w: 3, z: 1, m: 2, f: 2, r: 3}. What is prob of sequence wpzf?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q + 4*c = 16 - 30, 0 = q - 3*c - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004768967 rounded to 5 dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of 4*p**7\/105 + p**6\/30 - p**5\/5 - p**4\/6 + 2*p**3\/3 - p**2. Factor n(g).\nAnswer: 4*(g - 1)*(g + 1)**2*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6100272420216 - 6100272420216 + 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**2 + 6*a + 1. Suppose 2*j = 3*j - 12. Suppose 2*p + j + 0 = 0. Calculate b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 641.7\nAnswer: -192.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (21*s - 400*s**5 - 44*s + 23*s)*(3 + 0 + 0).\nAnswer: -1200*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 4*u + u - 4*d, -u = d + 10. Let m be (u - (-2 - -1)) + 16. Is m less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 + 21. Let i(w) = -w**2 - 7. Let s(c) = 3*i(c) + u(c). Let j(k) = 25*k. What is s(j(q))?\nAnswer: -2500*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-800500)\/(-6))\/(-1*(-2)\/240). What is o rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - 4 = -4*z. Let p be z\/3 - 1\/3. Suppose 4*l - 7*l = 0, -m = -3*l - 2. Solve -m*h + 0*h + 4 = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in twenty-nine thirds of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.599 + 3.001. Which is the closest to t? (a) -1\/3 (b) -3\/2 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**2 + 85*w + 1082. Calculate f(-17).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -585 - -2341\/4. Let i = -0.1 + 0.2. Let v = i - 0.1. Sort v, q, 5 in descending order.\nAnswer: 5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.139, -0.01, -29\/9, -0.5, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u**2 - 473*u + 660*u - 187*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 107, -5, 16, -71, 2, -0.2, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8.2 + -8.24. Sort j, 2, -3, -2\/11 in increasing order.\nAnswer: -3, -2\/11, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -16, -4*t + 0*z = -3*z + 124. Let f = -8 - t. Suppose -5*y - 5*o = -28 - 7, 4*y = -3*o + f. Which is the smallest value? (a) y (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2484 - -11728. List the prime factors of n.\nAnswer: 2, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of -s**4\/6 + 7*s + 393. Let y(n) = 2*n**2 - 1160. Determine y(b(h)).\nAnswer: 8*h**4 - 1160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1084182 or -1084091?\nAnswer: -1084091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (10\/3)\/((-16)\/24). Suppose -3*s = w - 3*w + 19, w = -5*s - 23. Suppose z + w*z = 9. Put -3, z, t in decreasing order.\nAnswer: z, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -539.45318 rounded to 1 decimal place?\nAnswer: -539.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of ((-11980)\/40)\/(5\/(-110))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 633050359.\nAnswer: 383, 1652873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 2*a**3 - 36*a**2 + 26*a - 44. Let c be m(18). Calculate the highest common factor of 53 and c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3829 - 3739. Calculate the highest common divisor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -979ec (base 15) in base 10?\nAnswer: -481497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (19 + (13 - 34))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -70*b**2*v - 450226*b**2 - 4624*b*v wrt v.\nAnswer: -70*b**2 - 4624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -499729 (base 15) to base 13\nAnswer: -965688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - 18)\/(-3) - (6 + -5). Suppose s*q + 1926 = 22*q. Calculate the remainder when q is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 11*d**2 - 2 - 2 + 5*d + 0*d - 1. Suppose -2*k + 2 = 4*w, k - 4*w + 7*w - 3 = 0. Let q(s) = -6*s**2 - 3*s + 3. What is k*h(b) - 5*q(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3585 and 15296.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(405)*1 - (-3 + sqrt(405) + 1)) + (6*2*sqrt(405) + sqrt(405))*-4)**2.\nAnswer: -1944*sqrt(5) + 1180984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(3256\/(-652) - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000027450293 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the third derivative of j**7\/5040 + j**6\/240 + j**5\/60 + j**2. Let k(m) be the third derivative of i(m). What are the prime factors of k(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11000000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of -27 and 1018.\nAnswer: -27486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 30657270097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -30 - -52. What is the remainder when h is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 4*q - 10 = 0. Suppose -2*i + i = 4*w + 5, -4*i = q*w + 20. Suppose -g - 1 + 13 = 3*t, -g - 18 = -3*t. Sort g, 3, i in ascending order.\nAnswer: i, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 971486681?\nAnswer: 11, 71, 733, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -81 + 75. Let u be (0 + 400)\/(q\/(-348)). Suppose 94*x - 95*x = -u. Round x to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 + 836)*8\/24. Let g = y - -157. What are the prime factors of g?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 33 + 8 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1024840 divided by 3\nAnswer: 1024840\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(187)\/(sqrt(33)\/sqrt(3)) + -2*(-1 + sqrt(17)))*-2.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -884924.00002 + 884858. Let t = 66 + f. What is t rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/13)*y\/(y*(y\/y**(-3\/8))\/y*y))\/(((y*((y*y**(-1\/4))\/y)\/y)\/y*y)\/y**(1\/3)) assuming y is positive.\nAnswer: y**(-295\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -1046*w**2\/5 - 4112*w + 1440 = 0.\nAnswer: -20, 180\/523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2166261.0502582 - -0.3.\nAnswer: 2166261.3502582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3 + (-1)\/(-1*1). Let y(d) = -4*d**3 + d + 1. Let k be y(-1). Suppose 4*h + v = 4*v - 4, k*h = -3*v + 20. Put h, 0, c in increasing order.\nAnswer: 0, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-42)\/(-189) + (-52)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10*c**4 - 80*c**3 - 771*c**2 wrt c.\nAnswer: 240*c - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1*(3 - 4) - -16.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -3*j + 192. Let s = j - 13. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 47, 227, 709, 1643, 3179, 5467?\n\"Answer: 25*h**3 + h**2 + 2*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -3\/19 (b) 2 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4449.5903 minus -2017?\nAnswer: 6466.5903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -11*b + 21. Let j(g) = 27*g - 51. Let q(u) = -5*j(u) - 12*s(u). Determine q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -191076 + 37*p**2 + 95515 + 95561.\nAnswer: 37*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -u - 207, 2*u + 2*u + 758 = 2*s. Let m = u - -185. What is the nearest to -2 in 1\/3, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -17 - -27 - (0 - -4). Let p(j) be the first derivative of 2*j**2 + a + 4*j + 1\/3*j**3. Find d, given that p(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (20\/(-8))\/(2\/(-24)*2). Suppose -i = -q - 8. Calculate the highest common divisor of 21 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 896909 is divided by 850?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 577587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oiomiiooijiiooi. What is prob of sequence ji?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - -7. Let f(h) = h**2 - 3*h - 7. Let q be f(6). What is the highest common factor of q and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes after 8:10 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 - 10*h + 5. Let v be a(4). Let b = -11 - v. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -g - 6, 0 = -2*g + 5*g + 5*i + 18. Let z be 3\/((-1)\/((-4)\/g)). Put z, 2, 4 in descending order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**3\/g*g*g\/g**(-2\/11))**(1\/46) assuming g is positive.\nAnswer: g**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -659\/4 or 2?\nAnswer: -659\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of 2633028086 and -873.\nAnswer: 2633027213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 4*h**2 + 4*h. Let m(g) = g. What is 20*m(c) - 5*n(c)?\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -t**4\/4 + 2810*t**3 + 67539*t**2 + 506780*t + 1126400 = 0.\nAnswer: -10, -4, 11264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -635*l**3*m**3 + 32*l**2*m**3 + 2*l*m**3 wrt l?\nAnswer: -3810*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -5*t + 74 - 19, 0 = -5*o + 2*t - 58. Let w(g) = -33*g + 3 - 5 - 5 + 8*g. Is w(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1180 = 20*h - 24*h. Suppose h = 7*g - 2*g. Let d = 61 - g. Solve -d*x - 4 = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.22 times 0.1226?\nAnswer: 0.026972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**2 - d. Let z(t) = 2*t**2 - 2 - 5*t**2 + 3*t + 2*t**2 + 2*t**2. Suppose -v = -k + 2, -3*v + 3*k - 10 = 2*v. What is v*p(s) - z(s)?\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 421*b. Let k(i) = 2*i**2. Give k(q(f)).\nAnswer: 354482*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 395*m**4 + 18877*m**2 - 18877*m**2 - 1231 wrt m.\nAnswer: 1580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*r + 10. Let c = r + -1. Is (109 - -1) + c + 1 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 2195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k**(-2\/7)*k)\/k*k*k\/k**(-5))\/((k**(1\/5)\/k*k)\/(k*k\/(k\/(k\/(k**(-1)*k)*k)*k))) assuming k is positive.\nAnswer: k**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 - 10*r**2 + 11*r. Let l be f(-11). Suppose -g - 3*g - 4 = l. Let m = 0.55 + -0.05. What is the smallest value in 3\/5, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*q - 0*q. Let c = q - -2. Suppose 0 = c*u - 2*u - 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94553 is divided by 110.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - (-507 + 558 - (-16 + 1))) + -24?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8040 and 1509912.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**4\/5 - 9492*a**3\/5 + 7508172*a**2\/5 - 1979654684*a\/5.\nAnswer: 4*a*(a - 791)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*f - 59*f - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-36)\/(-14))\/(16\/((-2688)\/(-9)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/4 and 1*5 - (-259)\/(-168)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1048 + 1045 - 2093 + 140*j**2.\nAnswer: 140*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.28 (c) 4\/5 (d) 0 (e) 3 (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (-3 - -12) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r**3\/11 - 267546*r**2\/11 + 8948276592*r\/11 - 44734694560\/11 = 0 for r.\nAnswer: 5, 66884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/36 and 161\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 - -0.1. Let z = 256 + -257. Let t = 3.4 - 3.8. Which is the closest to p? (a) z (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gwww when four letters picked without replacement from {w: 7, r: 2, g: 2}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*w**3 - 2*w**5 - 2*w**2 + 2*w**2 + (-2*w**3 + 3*w**2 - 3*w**2)*(-17*w**2 + 14*w**2 + 5*w**2).\nAnswer: -6*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 39*w + 8. What is the tens digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/(-575))\/(42\/140).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -14\/5 and -58\/585?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(2*sqrt(68) - sqrt(68)) + sqrt(68) - (sqrt(68) + -2*sqrt(68)*6 - sqrt(68)))\/((sqrt(576)*3 - sqrt(576))*2))**2.\nAnswer: 153\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - 4. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10732*n - 74618 = 75630 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 938 + -991. Let l(t) = -t**2 - 6*t + 14. Let s be l(10). Let q = c - s. What is the remainder when q is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 40 (base 14) to base 10.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -9 + (-10 - (15 - 28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -119*k + 4568. Calculate j(38).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 157 - 4*p**3 - 420 + 118 + 145.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -309*z = -21694 + 20767 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((9\/(-3))\/9)\/(256041\/4131 - 62)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -64\/5 + 0*v + 12\/5*v**2 + 2\/5*v**3 = 0 for v.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -291*f*s**3 + 8351*f wrt s?\nAnswer: -873*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14*(-18 - (-409220)\/22736)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5130\/(-33 - -90) + -31?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g - 195190*g**2 + g + 193361*g**2.\nAnswer: -1829*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8816 - (152\/76)\/((-2)\/(-4))?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in -2*p**5\/23 - 6234*p**4\/23 - 18688*p**3\/23 - 12456*p**2\/23 = 0?\nAnswer: -3114, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/6, 3, 6, 23, -0.3, 2, -6399?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 4*b**2 - 1. Suppose -q - 4 = q. Let z be v(q). Solve -u = 2*u + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -155*p + 213. Let b(w) = -460*w + 638. Let y(k) = 3*b(k) - 10*t(k). What is the first derivative of y(v) wrt v?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2225762 and 2078252.\nAnswer: 1411133108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 6 + 6*s)*((1 + 2 - 5)*(-2 + s**3 + 2) + 0*s**3 - 4*s**3 + 5*s**3).\nAnswer: -6*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 4*-1.07\nAnswer: -4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 140\/(-105)*(4\/16)\/(10\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the third derivative of b**6\/30 + b**5\/20 - b**3\/2 - 5*b**2. Let i(s) = -6*s**3 + 0*s**3 - 4*s**2 - 2*s**3 + 3*s**3 + 4. Determine -4*h(g) - 3*i(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1377 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of -158*t**7\/7 - 115*t**3\/3 + 42. Find the third derivative of u(o) wrt o.\nAnswer: -18960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, k: 6, h: 2, g: 1, t: 5}. What is prob of sequence thz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2\/3)\/x)\/(x\/x**7))\/(x**1)**(-7) assuming x is positive.\nAnswer: x**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 7184342, 4, 6 in ascending order.\nAnswer: 4, 6, 7184342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13332*z**5 + 77872*z wrt z.\nAnswer: -266640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0*(-13)\/156*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -18613230 and -31133.9.\nAnswer: -18644363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*sqrt(288)*2 - sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(288) - sqrt(288))\/(sqrt(192)\/(sqrt(16)\/sqrt(2))).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2869019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/79 + -379\/48664. Let j = 459\/616 + f. Solve 3\/4*v + j*v**3 + 3\/2*v**2 + 0 = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 4*h - 4 = -2*h, 5*h = -4*i - 10. Let q(m) = -34*m + 1 + 4 - 5 + i. Let s(f) = 0*f + 5*f - 3*f. Determine q(s(o)).\nAnswer: -68*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -3*f**2 + 45*f - 37. Let d be v(10). List the prime factors of d\/(-1)*(-8 + 15 + -8).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the third derivative of z**4\/12 - 25*z**3\/6 - 6*z**2. Let j be g(13). Is j not equal to -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-9))\/((-3)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (33\/(-22))\/((-1)\/12). Suppose -9*y - k = -11*y. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5874150?\nAnswer: 2, 3, 5, 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 4 = 3*c + 6, 0 = -3*c + 2*r + 10. Suppose 11 = 3*w + 5. Solve c = -w*z - 2, -5*z - 11 = -3*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -160*j**3*o**2 + 2*j**3 + 93998*j**2*o - 95*j*o**3 - 11*j - 5*o**2 wrt o?\nAnswer: -320*j**3 - 570*j*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 934971913 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) -1 (c) -3 (d) -0.154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -207, -477, -807, -1197?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -6*r**2 - 4*r**2 - 9*r**2 + 11*r**2 - r in the form y*r + u + c*r**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(39)\/(-2*sqrt(3)*4)*-5 + (-1 + ((sqrt(156)*1 + sqrt(156) + sqrt(156))\/sqrt(12) - (-1 + -1*sqrt(13) - sqrt(13))))**2.\nAnswer: 5*sqrt(13)\/8 + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 4:27 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = 373*c - 339*c. Let i(z) be the second derivative of 4*z**4 - 2\/3*z**3 - 2 + c*z**2 - 20*z. What is the second derivative of i(o) wrt o?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*(l*l\/((l\/l**(1\/16))\/l))\/l*(l\/(l*l**(-2\/9)*l))\/l*((l\/(l*l**(3\/5)))\/l)**(-3\/4) assuming l is positive.\nAnswer: l**(1069\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - z - 1 + 32 = 0, z = -4*b - 32. Let a = -12 - b. Calculate the common denominator of a\/(50\/123) + 0 and -27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86609 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 3*d**2 - 4*d + 1. Let n be x(3). Suppose 3*y - n = -y. Suppose -7*s - 6 = -2*s - 4*w, -w = -4*s + y. Solve 5*i + s = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24970 + 24979 - 300*w - 49949.\nAnswer: -300*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -4.9?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 4*y - 5 - 6*y - 10 - y**2 + 14. What is f(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes after 1:38 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 422, 1564, 3446, 6068, 9430, 13532, 18374?\n\"Answer: 370*t**2 + 32*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19 - 6 - 39)*(7*w - 3*w - 3*w).\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-48)\/(-156))\/((-6)\/(-39)). Solve -19 = q*u - 6*u + 5*f, -13 = 2*u + 5*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t - 8. Let l be k(5). Put l, -2, -4 in ascending order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = y - 5*t, 0 = y + 4*y + 2*t + 140. Let x = y - -44. What is the remainder when 34 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*l**2 - 3 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkgkkkgkk. What is prob of sequence gg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h = -5*b, 5*h = 3186*b - 3184*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 26607009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 103*a**3 - 27*a**2 + 7*a + 202. Let f be n(46). Round f to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3067.4 - -3369. Let x = n + -302. What is the closest to x in 0.2, -5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/57)*s)\/(s*s**(7\/8)) assuming s is positive.\nAnswer: s**(-383\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - 1. Let y = k + 0. Let t = y + -1.999994. Round t to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 28 and 60879858.\nAnswer: 60879886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -26552 + 26555. Which is the fourth smallest value? (a) 2 (b) -126 (c) x (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(-6\/5))\/(o**(3\/10)*o))**(1\/27) assuming o is positive.\nAnswer: o**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - 2*c + 4 + 5, 0 = 4*c + 12. Let g be -4*(u\/(-6) - -1). Calculate the remainder when -1*(0 - g) + 39 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5086.997336 rounded to one dp?\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*c - 570 - 4470 = 0. Calculate the least common multiple of c and 120.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 7*w + 36. Let i be y(-6). Let g(d) = -d**3 - 7*d**2 - 6*d + 5. Let q be g(i). Solve -q*f - 5*s + 25 = 0, -2*s - 3 = -2*f + 3*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4727518937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 6 = -4*u. Find the third derivative of u*x**2 + 3*x - x**3 + 2*x**3 - 3*x wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(1\/2)\/h**(-28))**(-5\/18))**(-20\/7) assuming h is positive.\nAnswer: h**(475\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82 is divided by 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-264)\/(-32))\/(6\/40). Suppose s + 31 = 2*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 219335777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -5*s**2 - 4*s + 5*s - s**3 - 8*s**2 + 14 + 14*s**2 + 0*s**3 in the form g*s**3 + x*s + h*s**2 + j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**21*k\/(k**10*k)*k assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of -7*b**6\/6 - b**3 + 7. Find the third derivative of u(z) wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -4*x + 3*x. Suppose 3*l - 52 = 2. Let n = x - l. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 + 28. Let f = i + -14.9. Let r = -1.1 + f. Which is the closest to r? (a) 4 (b) 0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**3\/4 + 5*p**2\/4 - p.\nAnswer: -p*(p - 4)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -3*f + 8. Let a = -14 - -9. Let z = a + 4. Sort -0.4, z, f in ascending order.\nAnswer: z, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**2 - 7*u - 8. Let q be p(-6). Let m be 14500\/q + (-2)\/14. Calculate the highest common divisor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 80.15624 kilometers in centimeters?\nAnswer: 8015624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -43547\/22 - -1978. Calculate the common denominator of y and (-694)\/252 + 1\/7.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -186.6069258 rounded to zero decimal places?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-8)\/3)\/(-6 - (-153)\/27). Solve h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 13*b**2 + 7*b**2 - 6*b**2 + 12. Let d(v) = v**2 + 1. Let h(s) = s - 4. Let t be h(-6). Let i be 23\/2 + (-5)\/t. What is i*d(a) - u(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (((-12)\/14)\/((-20)\/175))\/(-18)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-122)\/133 + 2 + -5 + 4. Let i = 4477\/1064 - l. Calculate the common denominator of -23\/11 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 1. Let w be (5\/i)\/((-5)\/(-15)). Solve 16 = w*m - m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (11 + (-124)\/16)*-159. Suppose -z = -2*z + 521. Let i = z + r. Find the common denominator of i and 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.041 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -7.83631 times 10?\nAnswer: -78.3631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 35*b = 36*b, -9*o + 8*o + 21 = -4*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 0 - 1)*(-2*g + 3*g - 2*g + (0 - 14 - 4)*(-5*g - 2*g + 5*g) - g + 3*g - g - 2 + 2 + g) to the form o + u*g and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from bkbgbvkbpvbpbbb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + v**2 + 0*v**2 + 46 - 5.\nAnswer: v**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 9900 divided by 15\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*c + 3*d = -28*c + 1, 5*c - 2*d = 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 14 - 8. Suppose m*y + 3*f = 2 + 34, 3*y - 38 = -5*f. Let x = 11 - y. Solve 5*h = -4*i + 36, x*i - 4*i - 2*h + 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3590839 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 104 = -3*l. Let v be l\/(-39) + 1\/3. Suppose 4*b + v*k = 14 + 8, -10 = 5*k. What is the greatest common divisor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-4 - (-3 - -6 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -246*f - 2248. Determine n(-11).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 1 + sqrt(891) + 0 + -2 + sqrt(891) + ((sqrt(110)*-1 + sqrt(110))*-1)\/(sqrt(10)*1*1)*-4.\nAnswer: -4 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 27 - 62411?\nAnswer: -62373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 60\/34 - (-1317225)\/(-49215)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -4 (b) -2\/3 (c) 2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/3? (a) -0.2 (b) 5 (c) -158 (d) -2\/9 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 4 + 0)*(-2 + 2*i**3 + 2 - 2)*(0 + 3 - 1) as y*i + o*i**3 + g*i**2 + d and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10465 is divided by 346.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275*b = -269*b - 120. Calculate the remainder when 180 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/4)\/((-3)\/(-6))*(-7776)\/432.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 876*r**2*y**2 + 16*r**2 + r - 29*y**2 + 233*y - 1 wrt y.\nAnswer: 1752*r**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + -1. Suppose l + 4*l - 65 = h. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - d = -27. Suppose -2*j + d = -6*a + 3*a, 5*a = 4*j - 59. Calculate the remainder when (-2*3*-2)\/(426\/1917) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 918149?\nAnswer: 918149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.1 + -2. Let r = 12.11 + -12. Let m = r + 0.19. Which is the smallest value? (a) k (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-11\/2)\/r**(-17\/5)*r\/((r**(8\/3)*r*r)\/r)*r\/(r\/(r*r**(-3\/13))*r*r*r) assuming r is positive.\nAnswer: r**(-2729\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19488469 is divided by 83?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, m: 1, d: 2, p: 1}. Give prob of sequence wpdm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4872849?\nAnswer: 3, 23, 70621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ksn when three letters picked without replacement from kknknnnknks.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 - i - 30 + 19.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 0*g - 1 = 0. Let y be 12\/(-4) + 30\/5. Let c(h) = -272 - 3*h**3 + 271 + 21*h**y. Calculate c(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6530, 13099, 19744, 26501, 33406, 40495, 47804?\n\"Answer: 6*y**3 + 2*y**2 + 6521*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*i + 15*i + 39*i + 16*i - 96*i + 17 + 10*i.\nAnswer: -3*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1037397, -2074755, -3112115, -4149477, -5186841?\nAnswer: -6224207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**2 + 5168*k + 3285390 = 0. Calculate k.\nAnswer: -1455, -1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26087*0.5.\nAnswer: 13043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4e1 (base 16) in base 12?\nAnswer: -881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61*w + 20*w + 15*w + 2*w**3 + 26*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(108) - (4*sqrt(108))**2 - sqrt(3)*-5*1 - (1 + 3*sqrt(81)\/sqrt(3)).\nAnswer: -1729 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 120356 + -79232. What are the prime factors of k?\nAnswer: 2, 3, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gdxxyxyxgo. What is prob of sequence go?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -63 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -17097*h + 17097*h - 60 + 3*h**2 + (-3*h - 2*h - h)*(-1 + 1 + h).\nAnswer: -3*h**2 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*u - 24 = -33*u. Calculate the remainder when 173 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/(-2))\/64*64\/(-6)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of q**3\/9 + 5*q**2\/2 + 44*q\/3 - 614. Factor k(x).\nAnswer: (x + 4)*(x + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 + (-18)\/(-3))\/(6\/(-45)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 + -6. Suppose -5*f = -0*f - 5*g - 65, g + 52 = i*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 303547125 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 28252 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k - 1. Let t(d) be the first derivative of 5*d**2\/2 - 7*d - 17. Give 2*t(f) - 14*w(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from kmmnnmmkkkkkmmmk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(1\/9)*x)\/(x**(13\/3)\/x))**1 assuming x is positive.\nAnswer: x**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -123836, -247671, -371506, -495341, -619176?\n\"Answer: -123835*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w - 3*b + 16 = -2*w, 2*w - 4*b + 18 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -137*h + 278. Let m(k) = -45*k + 84. Let r(c) = -13*m(c) + 4*w(c). Determine r(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 4*t = 91, 0 = -7*b + 2*b + 4*t + 59. What is the remainder when 18 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-1058)\/138)\/((-3)\/9). Solve -s*y = -25*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35 = 5*q + z, -8*q + 9*q = -5*z - 31 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -191\/7410 and -26\/1015.\nAnswer: 1504230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 451760151?\nAnswer: 3, 701, 214817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 8, d: 1, j: 1, l: 8}. Give prob of sequence ljtt.\nAnswer: 14\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.8, 3, -11\/8, 3\/2, -6?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10941 - 689*b - 10941.\nAnswer: -689*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -578, -580, -582, -584, -586?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.07 + 3.07. Let y = -102.12 - -107.12. Which is the closest to -0.2? (a) t (b) 1\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/8088 and -131\/1644?\nAnswer: 1108056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sdmmlosh. Give prob of picking 1 s, 1 h, 1 d, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -4*s**3 + 4*s**2 + 4*s - 11. Let z(n) = -8*n**3 + 7*n**2 + 7*n - 23. Let x(t) = 7*f(t) - 4*z(t). What is the derivative of x(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of 1\/12*y**4 + 1 - y - 1\/2*y**2 + 0*y**3. Let x(m) be the first derivative of d(m). What is the first derivative of x(c) wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 63, 244, 545, 966, 1507, 2168, 2949?\nAnswer: 3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 326 a factor of 25600128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -30 - -30.156. Let y = q - 0.1818. What is y rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(2\/3))\/l)**(-2\/53)*l**(2\/3)\/(l**(-3\/8)\/l)*((l\/l**(2\/9))\/((l*l**(5\/4))\/l))**40 assuming l is positive.\nAnswer: l**(-64385\/3816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 32.40385 + -32.4. Round t to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 + -1. Suppose 2*w = 2*l, 4*l + 1 = -z*w + 8. Let g be (-30)\/(1 + -1 - w). What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1370, -9, 5, 0.16, -3\/4 in descending order.\nAnswer: 5, 0.16, -3\/4, -9, -1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -6460785 plus 0.643?\nAnswer: -6460784.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6165*681.\nAnswer: 4198365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 6*b - 1. Calculate the remainder when (64\/(-6))\/(3 - (-50)\/(-15)) is divided by j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -159*a = -162*a + 143460. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -12593*k + 37243. Calculate x(3).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 375797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 3*h**2 - h + 1. Let g be 1 - 2\/(-1 - 1). Suppose 0 = 3*l + 16 + 14. Let p be g\/l - 12\/(-10). Give x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -24005626 (base 7) to base 14.\nAnswer: -3d26bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1432932 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-8))\/((-7)\/(-112))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12151 is divided by 2151?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - 4. Solve -1 = h*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/5*435\/(-377)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*u - 0*u - p, 2*u + 4*p = 4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 124481, 248528, 372575?\n\"Answer: 124047*w + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 2 = 0, -2*a + o = -7*a + 9*a + 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(16) - sqrt(48)\/sqrt(3)))\/(-2*sqrt(8)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(102) + 1*sqrt(102))*5 - sqrt(102)))\/(sqrt(30)\/sqrt(5)*3 - sqrt(66)\/sqrt(275)).\nAnswer: -135*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*t**4 + 80*t**3 + 85*t**2.\nAnswer: -5*t**2*(t - 17)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1)*j)**13\/((j\/((j*j**2)\/j))\/(j\/(j*(j\/(j**(-5)\/j))\/j)*j*j)))\/(((j*j**(-1\/2)\/j)\/j)**(12\/5))**6 assuming j is positive.\nAnswer: j**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(5 + ((sqrt(187) - (sqrt(187) + sqrt(187) + -4*sqrt(187)*1))*5)\/(((5*sqrt(99) - sqrt(99) - sqrt(99))*1)\/sqrt(9))).\nAnswer: 10 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 + 8*v - 20. Let m be a(6). Let s(g) = -g**2 + 6. Calculate the lowest common multiple of s(0) and (-186)\/(-24) + (-2)\/m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1267161 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 163223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 136822 divided by 7.\nAnswer: 19546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112 - -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 1 = -2*t. What is the tens digit of t - (20 - -1)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-8)\/10)\/(10\/(-50)). Suppose 5 = -f*i + 2*t - 57, 3*i + 66 = -5*t. Let a = i - -44. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 735\/28 - 1\/4. Suppose c = -h + 28. Suppose h*v - 3*n = 128, -4*v + 3*n + 283 - 21 = 0. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-4\/3)\/u*u*(u**(-2\/7)\/u)\/u*u)\/(u**0*u*u)**(-3\/7))**(-36) assuming u is positive.\nAnswer: u**(444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 AM and 9:58 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/18 + (129\/(-27) - -4). Let i = 38 + y. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -19 - 9. Let l = -27 - q. Solve 9 = -3*j - 3*p, 5*j - 3*p + 6 = -l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4672 - 3*j - 4670 + 9342.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2145, -2125, -2105, -2085?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -112, 813, -8, -5, -4, 3 in ascending order.\nAnswer: -112, -8, -5, -4, 3, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 - 10*p**2 + p + 4. Let k = 9 - 19. Let l be d(k). What is the units digit of (l - -4)*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 469 + 235 = -64*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1335239.\nAnswer: 1335239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 32 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-3*sqrt(425) + sqrt(425) - sqrt(17)))**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*o + 9*o + 16*o + (22 - 50 + 20)*(-3*o + 2*o - o) + 1 + o - 1 to the form h*o + w and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.3248 and -0.020204126243?\nAnswer: 0.304595873757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 79\/35 + -69\/35. Put -1, b, 15, -0.2 in decreasing order.\nAnswer: 15, b, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -14*u + 28. Calculate i(-5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/164 and -45\/459292.\nAnswer: 18830972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5*19\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5867.\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*g - 30*g + 83 - g**3 + 2*g**3 - 2*g**2 + 16*g to k*g + a*g**2 + p*g**3 + c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 21 = -5*i, 3*h - 8 = 4*i - 3*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (610\/(-8))\/((-9)\/(-12)). Let h = i + 102. Let n be 3\/((-27)\/(-15)) - 1. Which is the closest to 1? (a) n (b) -17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 45 and 740010.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -72 - 785?\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 7104 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 628 in -2\/5, -130, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 + 4*z + 3. Let s be m(5). Let w be s + ((-29409)\/(-9801) - 1). Let v = 54817\/6534 - w. Calculate the common denominator of v and 35\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 710 + 4 = 0. Suppose 0 = -3*d + 9, -4*u + 6*d = d - k. 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 the highest common divisor of 72447 and 91061?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 13319 + 366. What are the prime factors of (-5)\/(-3) + y\/21?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1201366*j**2 + 4184*j + 114 wrt j?\nAnswer: 2402732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 100 and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -477276113771 + -0.02\nAnswer: -477276113771.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -0*w - w. Let a be w\/((-2)\/3 + 1). Suppose 35*m + 10 + 25 = 0. Let j(g) = g**2 - 1. Let d(b) = -4*b**2 + 2*b + 3. Calculate a*j(f) + m*d(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 3*b**2 + 67*b + 292. What is u(-13)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 350032 - -22?\nAnswer: 350054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 5*n + 8. Let z(p) = p**2 - p + 2. Suppose 0 = 2*s - 3 - 1. Let g be z(s). Let h(o) = -6 - 12 - 5 - g*o - 10*o. What is -17*d(t) - 6*h(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -4 (b) -2979 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4352021?\nAnswer: 1433, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -7. Let x(n) = -26 - t*n**2 + 26. Let r(a) = 4*a**2. Calculate x(r(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 63*j**2 + j - 7. Suppose 3*d - 22 = 2*g, -3*d + 4*g + g + 19 = 0. Let b = -11 + d. Is a(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -198300 divided by 33050?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -343*k + 181 + 963 = 115 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(143)*-3 + sqrt(143))\/(sqrt(275)*3).\nAnswer: 16*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-18)\/15*(-15)\/2. Let g = t - -3. Let l = g + -10. Solve y = -l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dhbhhhddhhhodhjr. What is prob of sequence jhb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-54)\/(-9)*3\/12*-4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 5) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -424349954*a*p**2 - 10142864*a + 13 wrt p.\nAnswer: -848699908*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z**2 + 5*z**3 - 5*z**2 + 5*z**2.\nAnswer: 5*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-15))**(1\/76)\/(((l**(-29)*l)\/l)\/(l**(-20)*l)))**44 assuming l is positive.\nAnswer: l**(8195\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -322.61 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 18*c**3\/7 - 502*c**2 - 20928*c\/7 + 4824\/7 = 0. What is c?\nAnswer: -6, 2\/9, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -29 + 81. Let t be 0\/(-3 + 4 + 1). Suppose 6*p + 40 - u = t. Solve p*s - 3*s = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 251*v - 2939 = 1497 - 1424 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 3*w)*(w**2 - 2*w**2 + 0*w**2) + w**3 - 2*w**3 + 2*w**3 + 3*w + w**3 - 3*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 990810.6kg?\nAnswer: 990810600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19109 - 16536. Calculate the greatest common factor of 166 and m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1, -2, 0.5, -1\/3 in increasing order.\nAnswer: -2, -1, -1\/3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(((((y*(y*y**(-2\/13)\/y)\/y*y)\/y)\/y)\/y)\/y))\/y)\/(y*y**13*y*y))**(1\/8) assuming y is positive.\nAnswer: y**(-167\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-3))\/((-10)\/(-60)). What is the first derivative of -16 - h*z**2 + 2 - 3*z**2 - z**2 wrt z?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 4 (b) 903446 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of o**4\/24 - o**3 - 52*o**2. Let a(n) = -2*n + 7. Calculate -4*a(t) - 5*r(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 + 4*i + 8. Let r be d(-6). Solve 0 = -5*x + r, -x + 12 = -0*a - 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*r + 233 = -204 - 7 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 27, -1, 14, -7, 1, -40.\nAnswer: -40, -7, -1, 1, 14, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*((f**(-2)\/f)\/f)\/f*f)\/f**(-2\/3))\/(f**1)**(8\/9) assuming f is positive.\nAnswer: f**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 898 divided by -17934\nAnswer: -449\/8967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-6)\/33*(-7)\/(-7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 7*n + 310 = 0. Suppose 0 = -7*o + 8 + n. Solve -o = -5*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2178) - -1*sqrt(2178)*-1) + -2 + sqrt(2178) + 1)**2.\nAnswer: -66*sqrt(2) + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 2298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4 and 79906.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1491\/4 + -389. Find the common denominator of u and 103\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -105 - -5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -102706522?\nAnswer: -2\/51353261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2*u**2 + 12*u + 4. Suppose -5*h + 2 = -43. What is the lowest common multiple of h and k(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/2600 and 41\/310.\nAnswer: 80600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of -19*x**6\/60 + x**5\/30 + x**4\/24 + 15*x**2 + 11*x. Give o(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*x**2\/5 - 176109042*x\/5 + 2584532889513147\/5 = 0. Calculate x.\nAnswer: 29351507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2253059187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.2054 + -0.0054. What is the second biggest value in b, -9\/5, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 957510 and 22?\nAnswer: 10532610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 36195 and 452295?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o - 8 + 33 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 45446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**2 + 6*s - 8. Let u be m(-7). Let f = u - 43. Solve 0*r + f*r = -4*v - 4, -3*r = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/3 + 912\/18. Let j = l + -20. Calculate the remainder when 61 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3039 = -597*h + 1513 + 13466 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2223\/7560 + (-6)\/21. Let r(o) be the third derivative of -2*o**2 - 1\/840*o**7 + y*o**6 - 1\/48*o**5 + 0*o**3 + 0 + 0*o + 1\/48*o**4. Factor r(g).\nAnswer: -g*(g - 2)*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 240912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -63*p**3 + 8*p**2 + 46*p + 2. Give r(-3).\nAnswer: 1637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -2 + (4 - 7) - (-21 - -18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - -6)*(-1 + 0). Let o = -3 - w. Suppose o*d = 4*n + 11, -2*d + 10 = 2*n - 4*n. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*m - 16 = 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -81?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*l*r**3 - 2*l*r**2 + 11*l*r + 6*r**3 + r**2 wrt r.\nAnswer: 12*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-1)*q\/q**(-18) assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 51 - -24. Let l be (210\/(-28))\/(2\/(-4)). What is the highest common factor of w and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-four fifths of a millennium in decades?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - t - 10 = 0, -35*t + 34*t = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xg when two letters picked without replacement from {g: 3, x: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 - -3. Let h be (-1 + 1)\/(3 + -4). Suppose m + h*m - 2 = 0. Solve -d = -m*d - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 26*p + 1 + 8*p.\nAnswer: 34*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 AM and 2:49 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -504 = -3*a - 3*a. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2 + 518470*f - 1036948.\nAnswer: 2*(f - 2)*(f + 259237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 31 = -6*t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -3 + (-3 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 0*p + 6. Let x(j) = -j**2 - 6*j + 2. Let i be x(p). Does 17 divide (20\/(-3))\/(i\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -60*t**3 - 2 + 192*t**3 + 357*t**3 - t + 262*t**3 as g*t + s*t**3 + f + m*t**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3284 and 18883.\nAnswer: 75532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -418773, -1674535, -3767471, -6697581?\n\"Answer: -418587*h**2 - h - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -3, -0.2, 10, -1, 0.059501, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -8. Suppose h*j = 15, -j = 3*s + 4*j - 81. Calculate the highest common divisor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 381 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*f - 10*f = 62. Suppose -4*g - f = -322. Let q be 2\/(-6) + 80\/6. What is the highest common divisor of q and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 1. Let t(v) = 3*v - 18. Let y be ((-4)\/6)\/((-6)\/(-9)). Let r(g) = y*t(g) - 12*b(g). Let q(w) = -7*w + 13. Determine 4*q(s) - 9*r(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (3*n - 11*n - 3*n)*((0 + 0 - 3*n)*(1 + 2 - 2) + 2*n - 4 + 4 + (3*n - 2*n + 0*n)*(-1 + 9 - 15)) as a*n + w + h*n**2 and give h.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 15637099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bjbjyybbyjbbyhbyy. Give prob of picking 1 y and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3298736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nsnmohsnnnstsnhos. Give prob of picking 2 h and 2 s.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 8, c: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4770 and 455535?\nAnswer: 911070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/4*-1 - (-21269)\/2. Suppose 2*l - h = -3*j, 10*j = 6*j + 5*l + 14157. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (468\/65)\/(150\/(-1250)*15\/18).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5.02 + 0.02. Let k = 0.149 + -0.549. What is the second smallest value in -3, k, 4, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3301 or 40\/11?\nAnswer: -3301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 10:39 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*f - 13*f + 33*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 154 + 50332?\nAnswer: 50516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 6}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28 and 4011833.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -4*n**3 - 2*n**2 - 9*n - 12. Calculate m(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 745933.4 kilometers to micrometers.\nAnswer: 745933400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 511504513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (6*m**2 - 34 - 3*m + 34)*(m - 4*m + 4*m) in the form t*m**3 + i*m**2 + s*m + f and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**2 - 3*f + 1. Let i(w) = 3*w**2 - 42 + 20 + 12 + 9 + 2*w - 4*w**2. Determine 4*i(r) + 5*u(r).\nAnswer: r**2 - 7*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -2 - (1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 73591 divided by 890.\nAnswer: 73591\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/17 in -3, -5, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -510*v + 15198. What is a(30)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 9 + 6)*(-2*t**3 - 3*t**2 + 3*t**2).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3643 is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 101121120001101 (base 3) to base 6.\nAnswer: 320520314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(-3 + sqrt(7))*1)**2 - sqrt(35)\/((sqrt(30)*2)\/sqrt(6))) + 2.\nAnswer: -193*sqrt(7)\/2 + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -13266 or -13352?\nAnswer: -13266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 10052 (base 7) to base 6.\nAnswer: 15142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 - 1009*w + 17435. Give r(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((1*sqrt(33)\/sqrt(3) - (-1 + sqrt(1584)) - (sqrt(11) + -2 + sqrt(1331))*-2)*3)**2.\nAnswer: -702*sqrt(11) + 16814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - 8. Suppose 1 + 9 = m*y. Suppose -x - 92 + 95 = 0. Solve x*f - f + 3 = -5*g, -f + g = y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 204210329 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, 49, -45 in descending order.\nAnswer: 49, 2, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 76\/297 - (-12 - 804\/(-66)). Which is the second biggest value? (a) -2\/39 (b) 4 (c) k (d) -0.4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13108, -26214, -39320, -52426?\nAnswer: -65532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -494\/421? (a) -5 (b) -7\/102 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (156\/(-8892))\/(((-8)\/(-324)*-3)\/((-8)\/(-12)))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 15 = -5*b - 4*g, -5*b + 3*g + 15 = 0. Suppose -b*y + 1348935 + 541065 = 0. Round y to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 7:19 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/9 and 167\/7370844.\nAnswer: 22112532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + 110220222221110?\nAnswer: 110220222221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 33\/14 in -2, 0.22, -1\/3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18598.207 + -18606. Let v = j - -7.7. Round v to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 396, 803, 1224, 1659?\n\"Answer: 7*p**2 + 386*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*o - 1. Suppose -10*v + 5*x = -15*v + 1730, -3*x + 692 = o*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 479269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 16*p**2 - 5*p + p**3 + 6*p + 33*p. What are the prime factors of l(-11)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-4))\/(1\/14). Let z be (-26)\/(-13)*2\/4*-1. Sort z, 1, o in ascending order.\nAnswer: z, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjbbbjbbbbbb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 158191 and 305153.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 15. Suppose -4*i = -i - q. What is the highest common factor of 5 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of -n**2 + 12*n + 3142. Give d(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.4 (b) 13 (c) 0.5 (d) 0.1 (e) 3 (f) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -w**2 - 258*w - 14616 = 0.\nAnswer: -174, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -77.4665 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*c = -4*c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -12. Let z = q - -1. Let g(a) = a**3 - 3*a**2 - a. What is g(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-a + 3*a - 3*a)*(2 - 5 - 4).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -1319103976 less than or equal to -1319103976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 + 2*h - 1. Let q be i(1). Suppose q = 2*w + 9*w - 5027. Round w to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, 1, -45 in ascending order.\nAnswer: -45, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -4271, 910, 4 in descending order.\nAnswer: 910, 4, -4271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -257.03 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -82*s**2 - 98*s**3 - 9*s**2 - 30*s**3 - 1 + 127*s**3 in the form f*s**3 + a*s**2 + p + c*s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a = 13*a + 5. Calculate the least common multiple of 17 and 36\/8 + a - 26\/(-4).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15094 + -15224. Sort -1\/5, 17, a in descending order.\nAnswer: 17, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-398)\/(-107271)*1857\/2. Let g = 48476 - 192595150\/3973. Let f = d + g. Calculate the common denominator of -1\/10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of w**3\/5 - 6*w**2\/5 + 12*w\/5 + 8. Factor a(z).\nAnswer: 3*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -365*l - 393*l + 1119*l - 372*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*u, -3*u = -4*c + 2*c + 12. Suppose d - 3*d + 8 = c. Suppose 0 = a - d*a + 120. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**0*a*a**(-1\/5))\/(((a*(a**0*a)\/a)\/a)\/(a*a**(2\/23)*a)))\/((((a**(2\/7)*a)\/a)\/a)**(1\/28)*a**(-6)\/(a\/(a\/(a**1*a*a)))) assuming a is positive.\nAnswer: a**(268507\/22540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c = -6 - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 - -14. Suppose -6 = -6*u + h*u. Suppose 5*b = d + 5, 0 = -4*d - 2*b - u*b + 30. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**2 - 1 + 2*x**3 + x**3 + 2*x**2 - 4*x**3. Let l be t(4). Let w = l + 33. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 + 5 + -5)*2\/(-4). Suppose -7*z + 4*z = 3*i + 6, -i - 3*z - 10 = f. Solve 0 = a - h + 1, -a - i*h - 1 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -15.19 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-10)\/(-4))\/((-2)\/(504\/(-35))). Suppose -3300 = -t*g + 12*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 1\/3 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 38 - -2*(2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.6 - 2.9. Let r = 3 - q. What is the nearest to 2\/3 in 0.4, r, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 13*r**2 - 2*r + 7. Let l be g(-5). Let q = l + -197. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + -2. Let v = 167960 - 1847558\/11. Which is the biggest value? (a) v (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -186972331 and 0.2.\nAnswer: -37394466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 62 + -38. Suppose -19*d = o - 119. Solve -3*z = -d*z - 6, -4*w = -2*z + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i, 1 r, and 1 b when four letters picked without replacement from briianiia?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20*1)\/(-4)*62\/(-124)*(-8)\/(-28)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 512879027?\nAnswer: 19, 26993633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -19688*m - 39677. Calculate r(-2).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*c**2 + 4*c**2 + 0*c**2 + (4*c - c - c)*(4024 + 3351*c - 4024).\nAnswer: 6703*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 + 10*v + 23. Give i(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 239266.\nAnswer: 2, 119633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = -3*g + 3. Let v be (-15)\/(-6)*4\/5. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-162)\/80 - -2)\/((-15)\/20). Let o(g) be the second derivative of 4*g + s*g**4 + 0*g**2 + 1\/15*g**3 + 0. Find l such that o(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**2 + 3*g + 2. Let u be q(3). Suppose -1 = t + l, -2*t + 0*l + u*l + 2 = 0. Solve 3*r + t*k = 3*k - 12, -5*r - 20 = -3*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -163060, -163080, -163094, -163102, -163104, -163100, -163090?\n\"Answer: 3*f**2 - 29*f - 163034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f - 378. Let v(x) = 2*x**2 - 7*x. What is v(q(c))?\nAnswer: 8*c**2 + 3038*c + 288414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the first derivative of -3 - u**2 + 0*u + 5\/3*u**3. What is the second derivative of p(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*i**2*q*x + 1264239*i**2*q + 2*i**2*x + 13722*i*q + 262*q*x wrt i?\nAnswer: 14*q*x + 2528478*q + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -149, -335, -845, -1841, -3485, -5939, -9365?\n\"Answer: -27*c**3 + 3*c - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kt when two letters picked without replacement from kcgcgjknt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 48 and 126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*j**2 + 3*j**3 - 4*j**2 - 5*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of 9\/5*f**5 + 0*f**3 + 2\/3*f**4 + 0*f**2 + 63 + 2*f. Suppose s(y) = 0. Calculate y.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (40 - (16 - (7 + -5 + 0 + 2))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + h = -20, -3*o + 0*h + h - 10 = 0. Let m be ((-3)\/2 - -2)*-2. Let n = m - o. Solve -c = n*f - 17, 4*c - 13 = 2*f - 35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15880*u - 33176*u - 19450*u + 13845*u.\nAnswer: -54661*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + -19\/3. Is 0.1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 6, -38 in increasing order.\nAnswer: -38, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -230133212 (base 4) to base 15\nAnswer: -38eeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5586891770 to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**2 + 27*v + 72. Calculate g(27).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4398 - 5?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 46674 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -5*g + 82. Let m = 38 + g. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q**2 - 9*q**2 - 3*q**2)*(2*q**3 + 0*q + 0*q)*((-3 + 2 - 1)*(1 + 0 - 3) + 3 + 1 - 2).\nAnswer: -96*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -182 = -5*g + 28. Let d(u) = -u**2 + 0*u**3 - 8*u**3 - 12*u + 14*u + 2 - 2*u**3. Calculate the remainder when g is divided by d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 + 8*b**2 - 8*b - 35. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -16 + 8. Let u = a - -11.5. Let p = u - -0.3. What is p rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/33 and -37\/1015.\nAnswer: 33495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Do -17 and -3.85146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8938236677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 6*a**2 + 13199*a - 172595. Determine n(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 - -8. Let w = -2424 + 2424.4. Which is the closest to -1? (a) -1\/4 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4725658 millennia in months?\nAnswer: 5670.7896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 7 = -3*m, 846258*m + v - 1 = 846260*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 PM and 11:44 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) 0.12755 (c) 141.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 4 + 0 + 6 + -18 - (-10 - 17)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 353*a = 361*a + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.4 + 0.37. Let q = p - 0.17. Let m be 9\/63*(-2)\/1. Put -3, q, m, -2 in descending order.\nAnswer: q, m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23\/145 - 6\/145. Let u be (-11)\/6 + (-7)\/(28\/(-8)). What is the smallest value in -4, o, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 PM and 6:18 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 5*j + 27, 2*j + 2*j + 18 = 2*w. Let k(t) = -2. Let a(v) = 6*v - 3*v - 2*v. Let o(u) = j*a(u) + k(u). Differentiate o(l) with respect to l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 700, -30, -0.3, 0, -1 in descending order.\nAnswer: 700, 0, -0.3, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5500)*2)\/(sqrt(55)\/sqrt(45)).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -32 + (11 + -8 - 0 - (-3 + -4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 146?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1225726 is divided by 3286?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**2 - 15*a - 38. Give r(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*h**2*h)\/(((h**(-14)*h)\/h)\/h))\/(h**2)**(-6\/5) assuming h is positive.\nAnswer: h**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10.196 - -10. Round b to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k = -18*k + 220. Let b(o) = k*o - 14 + 5*o**2 - 9*o + 22. Let n(h) = 2*h**2 + 4*h + 3. What is -3*b(c) + 8*n(c)?\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -15406*l**2 + 246494*l + 38. What is n(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put together -1550.9128568 and 10.\nAnswer: -1540.9128568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does -3267443\/6 = -544573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33, 37, 45, 57, 73, 93, 117?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10114099607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1682367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 32437681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 53 (base 14) in base 3?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 275*i - 23. Let z(h) = h**2. Give z(q(o)).\nAnswer: 75625*o**2 - 12650*o + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, -13, -0.061, 443?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.01 + -1. Let j = -87\/20 + 23\/5. Which is the biggest value? (a) 4 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by -159.\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**3 + 2*i**2 + 2. Let h be o(2). Let t be (-1)\/(0 - 1) + h. Suppose 15*v = 48 + 12. Solve -5*x - 15 = 5*g, -2*x + t*g + v = -5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9 in -1, -589, 4, 0.2, -0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 - 25*h**2 + 50*h - 106. Let b be i(-27). Factor z**3 + 1\/3*z - 4\/3*z**b + 0.\nAnswer: z*(z - 1)*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 - (-4 - 9 - 22).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i - 5*j = 11*i + 2002, -5*i - 4*j - 2498 = 0. Let n = -218 - i. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 291759.1 millilitres in litres?\nAnswer: 291.7591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/330 and 173\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) - sqrt(275)*-2 - ((sqrt(11) - 2*sqrt(11) - sqrt(11)) + -5)) + -1.\nAnswer: 4 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2074 + 3729. List the prime factors of a.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84, -295, -648, -1143, -1780?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 364577898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21210 and 420?\nAnswer: 42420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 719 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k - 1. Let z be y(1). Let v = 0.011 - 4.811. Let x = v + 5. What is the second smallest value in x, 2\/3, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 11*o**3 - 26*o**2 + 3*o - 1. Let b(a) = -21*a**3 + 60*a**2 - 7*a + 1. Determine 6*b(p) + 14*l(p).\nAnswer: 28*p**3 - 4*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence la when two letters picked without replacement from {n: 1, a: 1, l: 1, r: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (60494533 - 10419*l - 60494533)*(-3*l + 4*l + l + (-2*l + l + 3*l)*(0 + 4 - 3)) as f*l**2 + s + d*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 52177\/615 + -1276\/123. Let p = 299\/5 - r. Find the common denominator of -20\/11 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - 111100?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*s + 7*s + 28*s + 42*s.\nAnswer: 109*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 226894983 to the nearest integer?\nAnswer: 15063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((sqrt(272) - (1 + sqrt(272))) + 5 + -5*(-2 + sqrt(272)) + -5)*6 + 3)**2.\nAnswer: -14400*sqrt(17) + 248400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + 1243857?\nAnswer: 1243855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 13452 and 523545.\nAnswer: 123556620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 - 7*i + 5. Suppose 0*q = q + 3*d - 2, -4*q = 3*d + 1. Let z = 2 + 4. Let s(a) = -a + 1. Determine q*h(l) + z*s(l).\nAnswer: -l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 335*t**2 - 333*t**2 + 5875 + 16152 to m + b*t**2 + u*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the second derivative of y**4\/12 + y**3\/3 + 12*y**2 - 3*y. Let w(p) = p**2 + 3*p + 24. Let r(x) = 4*b(x) - 3*w(x). Is r(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.01 + 19.72531.\nAnswer: 19.73531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - 1. Let l(v) = 1 - 3*v - 6*v - 2*v + u*v. Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(170)*6)\/((sqrt(10)*-2 + sqrt(10) - sqrt(10) - sqrt(10))*-2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + 151245504?\nAnswer: 151245466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + -4. Calculate the remainder when 66 - 6\/18*-9 is divided by (26\/u + 3)*-10.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 1 + f)*(0 + 1 - 2) - 2*f + 4*f - 6*f)*(-2 + 1 + 3)*(-25 + 3 - 1).\nAnswer: 230*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y**5\/13 + 24744*y**4\/13 + 76829344*y**3\/13 + 1830763872*y**2\/13 + 3354408288*y\/13 = 0. What is y?\nAnswer: -6174, -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(72) - ((sqrt(2) - sqrt(8)\/sqrt(100))**2 - sqrt(2)).\nAnswer: -23*sqrt(2) - 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5353*k - 2*k**3 + 1618*k - 3236*k + 2 to v + s*k**2 + c*k**3 + y*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2441 - 2441.1. What is the nearest to g in 600, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 376\/6 - (-1)\/3. Let i = 191 + o. Is (i\/(-6))\/((-1)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/128 and -21\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 + -5. Suppose 2*w + 120 = c*w. What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*u**5 + u**5 + u**5 + (3*u - 1 + 1)*(-3*u**4 + 2*u**2 - 2*u**2).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**2 + 21*j + 27. Let t be h(21). Let o = -23 + t. Suppose -3*b = -5*b. Solve 4*d = -b*d - 20, n - o = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 933.9958 years in millennia?\nAnswer: 0.9339958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-1)*192\/72.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s = -9*s - 8. Suppose d = -s*g + 46, 0 = -4*d + 14*g - 10*g + 104. Calculate the least common multiple of d and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -15*f - 1. Let z(s) = 46*s + 4. Calculate -16*k(o) - 5*z(o).\nAnswer: 10*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 328.9 + 37.1. Let t = y + -363. Which is the smallest value? (a) 15 (b) 2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3*-2)\/(-3))\/((-715)\/(-15)*(-57)\/627)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -407\/6 + 175\/3. Sort 0.1, d, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 345846*k**3 + 13217*k - 14 wrt k?\nAnswer: 2075076*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -3*q - 27. Let c(g) = g**3 - 10*g**2 - 12*g + 3. Let k be c(11). Let t be h(k). Let i(a) = a**2 + 2. Give i(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51235233 divided by -3?\nAnswer: 17078411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -10110001 (base 2) to base 12\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 139 divided by 1\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rfr when three letters picked without replacement from rrrrffrrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*k + 2*n - 22 = 4, -8*k + 52 = 6*n - 2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**2 - 10*o - 3. Let c(u) = -1. Let w(h) = 3*c(h) + f(h). Let b be w(-9). Let r(y) = 19*y - 7. What is the remainder when r(b) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 50\/(-75)*6\/(-2). Let v(h) = 5*h**3 - 3 + 0*h**3 + 3*h**3 - 6*h**i + h - 9*h**3. Calculate v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes after 3:18 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2363 + 3593. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(5\/(-22))*(-15350)\/(-12280)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 28 + 0. Suppose p - 4 = -2*m, -1 = p + m + 2*m. Calculate the highest common divisor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 4*c - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000163 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -5*t, 718*t - 4*k - 29 = 715*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/4 (c) 0.05 (d) -185 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1362.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 181099 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -261, -4, -79 in decreasing order.\nAnswer: 0, -4, -79, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 - 5*t + 4. Suppose -2*c = -8*b + 3*b - 21, -c + 5*b + 18 = 0. Give u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 + 26. Suppose 0 = 5*t - 1 + p. What is the tens digit of (4*t - -1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(-1)*1 - 0. Suppose -q + 0 = -j. Solve -w + 2 = -q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 4)*(-15036 - 6800*n**2 + 15036).\nAnswer: -13600*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -357\nAnswer: -5\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eooo when four letters picked without replacement from {e: 2, o: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15, 21, 31, 45, 63?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the second derivative of p**6\/360 - p**5\/120 - p**4\/12 + p**3\/6 - p. Let q(y) be the second derivative of x(y). Is q(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -118202 + 15129763\/128. What is the common denominator of u and -87\/160?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -1 - (-3 + 2 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -6*s**2. Let n(w) = w**3 + 5*w**2 - 3*w + 1. Let x be n(-4). Let i(y) = -x*y + 3 - 3 + 31*y. Give d(i(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1490169802 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 28 - 36585?\nAnswer: -3655b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/11 (b) -2\/7 (c) 2\/13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -101 - -105. Suppose 4*q = w*f - f + 4, -f = q - 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 5:30 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, u: 3, d: 1, s: 5}. Give prob of sequence adu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 46*i**5 + 647*i**4 - 5*i**3 - 815564*i wrt i?\nAnswer: 920*i**3 + 7764*i**2 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 + 7*z - 3. Suppose -5*l - q + 18 = 0, 5*q + 12 = -l + 30. Suppose 11 = 5*x - 2*f - 20, 5*x - l*f = 34. Is i(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 18*l + 74. Let q be f(-17). Let d = 234 + q. Solve d*t = 4*h - 0*t - 2, -3*t + 13 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -28 - -13. Let o = h + 22. Suppose o = 2*v - 9. Solve -3*g - v = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 117 = -3*u, -2*u - n = -0*n - 73. Let b = 16 - 14. Let r be -38*(-2 - (-1)\/b). What is the highest common divisor of u and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3522 (b) 3\/4 (c) 3 (d) -2\/291 (e) 5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.108 - -0.142. Put 0.3, 9, h in descending order.\nAnswer: 9, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 10:00 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 878.48 + -877.74238. Round r to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the second derivative of -s**4\/4 - 10*s**3 + 783*s**2\/2 + 5187*s. Factor d(v).\nAnswer: -3*(v - 9)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 - 6) + (-9 - ((13 - 31) + -12)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6853500 and 32625.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -4*x - 19. Let q be u(-4). Let f be 1*(-1 + 0)*-7. Suppose -2 = 3*d + f. Is q bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -33*q**5 - 7063938*q**3 - 5*q**2 - 231*q - 297919?\nAnswer: -1980*q**2 - 42383628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1951 = z + 1992. Let q be (z\/(-123))\/(1\/9). Solve -q*c + 5*v = -0*c - 9, 15 = 5*c - 4*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*u**5 - 945*u**4 - 10090*u**3 - 22680*u**2 - 12160*u = 0 for u.\nAnswer: -19, -16, -2, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -134 - -433\/3. Solve -4\/3 + 35\/3*k**4 + 4*k**3 + 4*k**5 - n*k**2 - 8*k = 0.\nAnswer: -2, -1, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/4)\/((-4)\/16). Let k be (-7 - 14)*(-2)\/x. Suppose z = -0*z + k. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1366877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**3 - m + 12*m - 8*m.\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 816857?\nAnswer: 816857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n**2 - 1. Let j be w(-2). Suppose -3*g - j*m + 189 = 0, 2*g + 0*m - 3*m = 116. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11\/64 or 1\/360?\nAnswer: -11\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -11 + (25 - (2 - -4 - (-33 + 34)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 53*c**2*u**2 - 647502*c**2*u - 2*c*u**3 - 210*u**3 wrt u.\nAnswer: 106*c**2 - 12*c*u - 1260*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-9)\/(-3) - 16720)\/(26 + -29 + 2).\nAnswer: 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1053 and 1222.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -56 + 62 + (9 - 4 - 4) + -24?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 - -14. Solve 3*d - o = w + 2, 5*w = -2*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 i when three letters picked without replacement from {h: 6, i: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 PM and 1:15 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.5 - -6.5. Let l = 5 - x. What is the second biggest value in -1\/3, l, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 14 + 2 = 0. Let t be ((-4)\/(-10))\/(h\/30). Suppose -5*a + l + 75 = -4*l, 33 = t*a - 5*l. Calculate the greatest common factor of a and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -117 in 5, -3\/56, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*x + 17*x - 4*m + 16, 0 = -3*x - 4*m + 16. Solve x = -t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -54023*h + 147 = -54044*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -442, -885, -1328, -1771, -2214, -2657?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 45.64193 decades to years.\nAnswer: 456.4193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is b in -2*b**4\/7 - 26*b**3\/7 - 30*b**2\/7 + 146*b\/7 - 88\/7 = 0?\nAnswer: -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/(u**(-6\/11)\/u*u)*u)\/u*u)**(-47)\/(((u**(-1\/13)\/u)\/u)\/(u**(5\/3)*u)) assuming u is positive.\nAnswer: u**(-69452\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a + 2. Let y(i) = -i**2 + 0*i**2 + 4 + 2*i + i. Let n be y(3). Let g = n + -9. Let k(l) = l + 3. Give g*o(s) + 3*k(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -510 + -1?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41798 - 14*h - 41798.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**3 - 2*j**2 - j - 4. Calculate the lowest common multiple of 10 and p(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 20 - 32) + (9 - 4) + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6084 - 2682. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 5*l + 93. Suppose 0 = -q + 9. Let x = 13 + q. What is the remainder when h(-10) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/11 in -0.4, -10.7, 239.2, -4\/5, 5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -6030 (b) -0.4 (c) 4 (d) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is k in 32*k**3 - 144*k**2 + 66*k - 8 = 0?\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22821846 divided by 3.\nAnswer: 7607282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j*j*j**(-2\/13)))\/((j\/j**(-4))\/j))**(-13) assuming j is positive.\nAnswer: j**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2886376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 121*k - 140*k - 163*k.\nAnswer: -424*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 9, -19, 1, -0.4, 2, 1\/8.\nAnswer: -19, -0.4, 1\/8, 1, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -51 + 123. Suppose -t*p = -71*p - 9080. Round p to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 8*n + 10. Let c be 62\/8 - 5\/(-20). Let m be k(c). Let h(q) = -m - 6*q + 74 + 4*q. Let u(o) = 10*o. Calculate u(h(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w and 1 a when four letters picked without replacement from wawwwwwawwww.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3752 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -203553 + -51?\nAnswer: -203634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -18878 by -9439.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -215*q**2 + 3613 - q - 3613 as c + x*q**2 + m*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1\/2)\/y)**43*y\/(y\/(y*y*y\/(y*y\/(y*y*y**0*y*y*y)*y)))*y*y**14 assuming y is positive.\nAnswer: y**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -2117*z. Let j(w) = 5*w. Determine l(j(o)).\nAnswer: -10585*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-1190)\/11900)\/(2*3\/(-216))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -74, -105, -138, -173, -210, -249?\n\"Answer: -i**2 - 28*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13474 + 60710. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the second derivative of -1\/6*k**4 + 4*k - k**2 + 0 + 0*k**3. Let t(q) = 1. Calculate -b(w) - 3*t(w).\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 13.2107 less than -158?\nAnswer: -171.2107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 183 divide 93696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(17) + 0 + 5.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 23 times 0.1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 8, e: 7, p: 1, b: 2}. What is prob of sequence hp?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10499*w + 7205*w - 14473*w)*(-5*w + 4*w + 2*w).\nAnswer: -17767*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36)\/(-8)*4*(-7)\/42.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2*f**3 - 3)*(2 + 4 - 3)*(-2 + 3 + 1)*(-6*f + 0*f + 4*f).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 5.470116 kilograms in tonnes?\nAnswer: 0.005470116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -1425 by 19.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -4*a - 10, -4*k + 2*a = -0*k - 8. Suppose k*z - 129 = 141. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 7, t: 7}. Give prob of sequence ttet.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c*c**(-2\/5)*c*c)\/c)\/c)**(-39)\/(c\/((c*c*(c*c*c*c\/c**(2\/7)*c)\/c)\/c)*c\/(c*c**(-4)\/c*c)*c*c) assuming c is positive.\nAnswer: c**(-2264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -70, -6, 0, -5, -2 in descending order.\nAnswer: 0, -2, -5, -6, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o + o = 385. Calculate the remainder when 212 is divided by o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32\/(-56)*(-42)\/(-60).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 - -7. Let p = q - 7. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30075818 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: Solve -3*h = -4*s + 5303 - 5287, -2*s + h = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*q + k - 6*k - k, -q + 40*k - 39*k = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -52c1 (base 16) in base 7?\nAnswer: -115523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of -3*t**4\/8 + 34*t**2 + 1. Let r(b) = -5*b**2. Determine r(x(i)).\nAnswer: -405*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*o**5 + 540*o**4 - 2350*o**3 + 1500*o**2 = 0. What is o?\nAnswer: 0, 10\/13, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-14)\/(-42) - ((-164)\/3 - 0). What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = y - 2*r, -29853*y - 3*r = -29848*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 3*j**2. Let o(v) = 79*v + 21. Let h = 340 - 347. Let r(m) = 27*m + 6. Let n(i) = h*r(i) + 2*o(i). Determine q(n(c)).\nAnswer: 2883*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -156, -8, 174, 390, 640?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8697 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 5*b - 25. Determine u(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(4\/11)\/s)\/s**8)\/(s**(-1)\/((s\/((s\/s**(1\/18))\/s*s))\/s)))**(-2\/5) assuming s is positive.\nAnswer: s**(1699\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18619483.\nAnswer: 53, 351311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -134821 by -29.\nAnswer: 4649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -331*m**3 + 803*m**2 - 803*m**2.\nAnswer: -331*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1018001 is divided by 1017986.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2990 - -2995. Let p(j) be the second derivative of 0 + 7*j - 3\/140*j**r + 3\/28*j**4 - 3\/14*j**3 + 3\/14*j**2. Suppose p(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {l: 1, k: 1, x: 2, v: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4488 = 3*n + 45*s - 6240, -78 = -2*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 203 + 0?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -71*j**3 + 5*j**2 - 3*j + 38. Let b(l) = 68*l**3 - 3*l**2 + 2*l - 30. What is -3*b(w) - 2*i(w)?\nAnswer: -62*w**3 - w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 190 and 9785?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) 0.06 (d) 35\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27)\/702 + (-329)\/910?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*x - 18 + 18)*(-1 - 5 + 2)*(2*x + 0*x - x)*(-59 + 86 + 55) to the form w*x**2 + u + k*x and give w.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6843 + -6945. Sort w, -3, 4.\nAnswer: w, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 493\/10, 3, 4, -1.24 in ascending order.\nAnswer: -1.24, 3, 4, 493\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4660348048 a multiple of 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p\/(p\/p**7))\/p))**(-15\/7)\/(p**(3\/11)\/(p\/p**(-14))) assuming p is positive.\nAnswer: p**(1959\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 - 8*r - 1. Let d be v(9). Find the common denominator of d\/(-40)*(-7)\/1 and 71\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/15 (b) 5 (c) 162 (d) 1 (e) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -180 divided by 45\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + b**2 + 1)*(0 + 2 - 3 + 6 - 1 - 3 + (-2 - 1 + 4)*(-4 + 0 + 2) - 2 - 1 + 2 - 111 - 137 - 70).\nAnswer: -320*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**17*u**(-6)\/u*((u**(-3)\/u)\/u)\/(u**(-1\/9)\/u))**7 assuming u is positive.\nAnswer: u**(385\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10353394 = -207*h + 2315006. Does 72 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q + 2*g - 7*g + 70, 0 = q - 4*g + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*a**3 + 6*a**3 + 5*a**3)*(-3 + 4 - 6 + (-2 - 1 + 2)*(1 + 1 - 4)) to j*a + w*a**3 + x + g*a**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.23561? (a) -0.06 (b) 1\/31 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 14.4784449 microseconds?\nAnswer: 0.00000000016757459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -2*b**2 + 4*b + 1. Let s be m(8). Let a = s - -664\/7. Let h = 19.1 - 19. Sort a, h, 7.\nAnswer: a, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + 9. Let h = p - 8. Let b(y) = y**2 - y + 2. Let v(j) = -1. What is h*v(d) + 2*b(d)?\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + 2*z**2 + (-1 - 2*z + 1)*(-2*z + 2*z - z) - 19*z**2 + 3*z**2 + 5*z**2 + 3 - 4 + 6*z**2 - 2*z**2 - 2 + z**2 + 2.\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 54*t*x**3 + 212*t*x - 20*x**5 wrt x?\nAnswer: 324*t*x - 400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 30100, -0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 302043643?\nAnswer: 11, 27458513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 4*q - 88. What is v(18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2605967, 5211942, 7817929, 10423934, 13029963, 15636022, 18242117?\nAnswer: 20848254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.75 + 0.81. What is o rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -175 or -181?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.3 - -0.4. Sort 0, -1\/11, s in ascending order.\nAnswer: -1\/11, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - -9c1?\nAnswer: 9c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65 + 35 + 30 + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f = 6*f + 8. Suppose -f*z + 42 = -3*v - 0, -3*z = 4*v - 19. Suppose -9 - z = -3*a. Calculate the lowest common multiple of a and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 7, v: 2, a: 2, q: 1}. What is prob of picking 1 m and 1 q?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 249390, 498781, 748172?\nAnswer: 997563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the second derivative of -7*j**5\/10 - 59*j**2\/2 - j + 15. Differentiate h(t) wrt t.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 93*r + 438*r + 349*r.\nAnswer: 880*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15 + -27. Let r = f + 14. Which is greater: 1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/((-72)\/27)*2\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 6 + 6. Let q(f) = 2 + 0 + 11*f - k. List the prime factors of q(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*d + 8*d = -85 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -23569 divided by -637?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -99, -199, -299?\n\"Answer: -100*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 2\/19 (b) -0.072 (c) -5 (d) -66 (e) -0.2 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2252, -8992, -20230, -35966, -56200?\nAnswer: -80932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 - 12*p + 12. Let q be a(11). Solve 0 = o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12176, -24404, -36676, -49010, -61424, -73936, -86564, -99326?\nAnswer: -112240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/5*290\/435. What is the third biggest value in 5, -9, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -66.59029 - -66.65. What is y rounded to three dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -273 - -282. Let z = s - 26. Which is greater: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -22378491 + 1096\nAnswer: -22377395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -880 + 874. Sort d, 0, 2 in ascending order.\nAnswer: d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4245 is divided by 170.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 12909914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 4774921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is sixteen ninths of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 7\/((-378)\/12) - 3\/(432\/(-122)). Factor 1\/8*x**2 + 3\/4 + f*x.\nAnswer: (x + 2)*(x + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g - 31. Let a be y(19). Let j be 1 - a\/(-8)*(-12)\/(-9). Calculate the common denominator of 9\/11 and ((-26)\/338)\/(j\/5).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6, 20, 38, 60?\n\"Answer: 2*t**2 + 8*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.9 - -2.2. What is the closest to -3 in -2, -2\/9, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 4*n + 1 = 0. Let p = 0.11 - -0.39. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3 + 3 + 14 - 3*r with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u - 449 - 122 - 510 + 2*u.\nAnswer: -u - 1081","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 40\/10 + (38\/9)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 985263, 985257, 985251, 985245, 985239?\nAnswer: 985233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -7*w + 3. Let x = -133 - -205. Suppose -x = -15*f + 3*f. Let g(c) = -40*c + 17. Let v(z) = f*g(z) - 34*u(z). Let q(t) = 10*t. Give q(v(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(1 + (-4)\/2). Let b be -2 + 1 - (-2)\/3. Put s, b, 2\/11 in increasing order.\nAnswer: b, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 280063881 to the power of 1\/3, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3)\/9)\/((-1)\/4). Let g = -8\/9 - -22\/45. Which is the closest to -0.1? (a) j (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 414 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4046 divided by -2?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 86fa1 (base 16) to base 7.\nAnswer: 4461565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2220.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4224 and 22272.\nAnswer: 244992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xyoyioiyxoyoooyxi. What is prob of picking 3 y and 1 o?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + d. Let h be b(-1). Suppose -5*f - 2*u - 25550 = -h*f, u = 0. Let j = f - -3550. What is j rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9\/2039 or 0?\nAnswer: -9\/2039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37629, 75085, 112541, 149997?\nAnswer: 187453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -0.01 (b) -0.2 (c) -4\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 9274.137 tonnes in nanograms?\nAnswer: 9274137000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2 + 2*p - 3. Let j be h(2). Let x = -97 - -96. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 + 6*t**2 - 8*t + 5. Determine c(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -55, 2, 0.2, -3, 0.3 in decreasing order.\nAnswer: 2, 0.3, 0.2, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.77 * 46\nAnswer: -35.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.353 + 0.073. Let k = 0.88 + v. Put k, 0, -2\/9, -1\/3 in ascending order.\nAnswer: k, -1\/3, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3307 * -0.4.\nAnswer: 1322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 641541.\nAnswer: 3, 213847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(441)*5)\/(sqrt(7)*2*1) - (-2*(sqrt(7) - sqrt(63)) + 2)*4)**2.\nAnswer: 136*sqrt(7) + 2279\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 3*k + 17, -3*b - 3*k + 27 = -2*k. Suppose -b*l = -11*l - 5*i + 46219, 4*l = -2*i + 61644. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 35 + -18. Suppose -2*p - 3*r + 7 = 0, 6*p - 2*p - j = -3*r. What is the remainder when 6 - (-3)\/(1 + 0) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -5, -0.4, -4, 38?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 9*x. Let z(v) be the third derivative of -23*v**5\/60 + v**3\/3 + 126*v**2. Determine q(z(u)).\nAnswer: -207*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 - 2*m + 5. Let y be p(-3). Solve y*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 1082?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + 5*t**2 + 5*t + 5. Let c be (5\/((-50)\/(-12)))\/(2\/10). Determine x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the first derivative of l**4 + 2*l**3\/3 - l - 45. Give s(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5711 = -6*u + u + r, 0 = -2*u - 5*r + 2279. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18.99162 litres in millilitres?\nAnswer: 18991.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1357670 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -123\/73207, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 - (-35 + 7) - -9 - 25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1845371765.\nAnswer: 5, 23, 16046711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -8*d**2 + 40*d - 9. Let y(l) = -l**2 + 5*l - 1. What is g(j) - 6*y(j)?\nAnswer: -2*j**2 + 10*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 286*v - 4294. Let s be w(15). Which is the closest to 0? (a) -32 (b) -0.4 (c) 19 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 5*t + 122, 5*m - 4 - 324 = t. Suppose x = 5*u + m, 4 = 3*u - 5. Round x to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 + 4*d - 30. Let b be x(-9). What is the first derivative of -b*u**4 + 50*u**4 - 20 - 22 + 7 wrt u?\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 + 305*w**2 + 9466*w + 4365. Determine h(-270).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 15709 - 15711. Sort z, 0, 48.\nAnswer: z, 0, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36.82 - 35. Let r = 4.18 + -4. Let q = o + r. Which is the closest to 0? (a) -0.2 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5*h - 3)*(2*h**3 - h**3 - 4*h**3).\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-18)\/(-5)*(-2)\/((-12)\/225). Let i = g + -133. Solve -l = -i - 0, 0 = -2*u + l + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 7850 = 5*t, -4*m + 31*t - 34*t = -31349. What are the prime factors of m?\nAnswer: 5, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6414 and 18?\nAnswer: 19242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**3 - 1790*a**2 - 14000*a.\nAnswer: -5*a*(a + 8)*(a + 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 10 = 0, -2 - 9 = 2*s + o. Let k = 8386 + -8385.7. Which is the smallest value? (a) k (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(50)*1)\/sqrt(10) - (sqrt(180) + (sqrt(180) - sqrt(180)*2)))**2 + 5 + sqrt(20)\/(sqrt(24)\/sqrt(54)) + -5.\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 47261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, v: 8, z: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 - 4*j**2 - 5*j - 3. Calculate s(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w**5 + 9*w**4 + 402*w**3 - 1944*w**2 - 3072*w + 4608 = 0 for w.\nAnswer: -12, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 53809 times 25\nAnswer: 1345225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**7*(q**(6\/7)\/q*q)\/q)**(4\/35)*((q**(-6)*q)\/q**(-2\/7))\/(q**(-1))**(-16\/5) assuming q is positive.\nAnswer: q**(-1747\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 4*y**2 + 2*y - 2. Let m(a) = -3*a**2 - 3*a + 3. Give -4*m(x) - 6*q(x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -932, -847, -742, -617, -472, -307, -122?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 1, -15, -41, -77, -123, -179?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add -7773.78 and -19.\nAnswer: -7792.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -24 - -11. Let q(y) = -11*y + 2. Let g(n) = 5*n - 1. Let p(i) = -10*i + 2. Let v = 8 + -5. Let a(w) = v*p(w) + 5*g(w). What is m*a(f) + 6*q(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1192, -1\/64, 0.5, -5.\nAnswer: -5, -0.1192, -1\/64, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12225.4 - -11182. What is b rounded to the nearest 10?\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 130 divide 508327479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -9*j**3 - 4300*j**2 - 228905*j + 233280. Let y(m) = -2*m**3 - 860*m**2 - 45782*m + 46656. Let l(w) = -2*a(w) + 11*y(w). Factor l(h).\nAnswer: -4*(h - 1)*(h + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 363\/44*(1 - (-6)\/2). Let g = k + -13. What is the greatest common factor of 160 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -111 or 0.0666564?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.05 times -22\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 130*x**4 - 218*x?\nAnswer: 1560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = 2*q + 4, -84*u = -79*u - q + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and -0.0695803.\nAnswer: -0.3479015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from zzuu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -129*n. Let s be k(-2). Round s to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.055 - -2.945. Let j = -1.1 + 0.1. What is the closest to z in -3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is h in 3*h**2 - 7302*h + 315480 = 0?\nAnswer: 44, 2390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -900*z**2 - z + 90*z**2 - 381 + 2*z + 508 - 231*z**2 wrt z.\nAnswer: -2082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor c**2\/3 - 2606*c\/3 + 1697809\/3.\nAnswer: (c - 1303)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 564615, -1, 3, 138.\nAnswer: -1, 3, 138, 564615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/7, -3, -1, -3\/2, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 9:35 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -4 + 6*f**2 + 4. Let q(w) = -448*w**2 + 13. Let m(i) = -597*i**2 + 19. Let s(p) = -3*m(p) + 4*q(p). What is r(s(d))?\nAnswer: 6*d**4 + 60*d**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of 19*d**3\/6 - 2*d**2 + 16*d. Differentiate y(q) wrt q.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2 - -1)\/(6\/(-150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 179*o = -86*o. Let n(u) be the third derivative of 0 + o*u**4 + 0*u - 1\/3*u**5 + 7*u**2 - 25\/6*u**3. What is the derivative of n(i) wrt i?\nAnswer: -40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.093 + 4.093. Which is the third biggest value? (a) -1 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -7*p**2 + 4040*p + 1304175. Let v(x) = -2*x**2 + 998*x + 326044. Let w(f) = -6*d(f) + 22*v(f). Determine h, given that w(h) = 0.\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f\/(f\/((f\/(f*f\/(f\/(f\/((f*f\/((f*f**(2\/3))\/f*f))\/f)))))\/f))))\/f**(-6\/19)*f**(-2\/5)\/f**(3\/4) assuming f is positive.\nAnswer: f**(3229\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*-3*3\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 37, 66, 95, 124, 153?\n\"Answer: 29*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 52842\/17614*(2*2\/18)\/((-176)\/(-6))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 3:38 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6.06 - -6. Let y = -30149 - -30145. Put -1, y, w in descending order.\nAnswer: w, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f**3 - 200 + f**3 + 200.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 8222963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-1))\/4*((-15)\/(-30))\/((-2)\/(-116)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 430*z + 4. Let p(v) = 404*v + 3. Let h(r) = 4*p(r) - 3*u(r). Let l(y) = -7*y**2. Give h(l(x)).\nAnswer: -2282*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 86 and 16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 87 - 86. Which is the smallest value? (a) y (b) 0.3 (c) 1\/7 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3743 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 4)*(-14*z - 21*z + 10*z) + z + z + 0*z + 2*z - 3*z + 2*z + 30*z + 34 - 34 + 1 - 1 - 2*z + (3 + 0 - 2)*(2*z - 4*z + z) + 3*z - z + 0*z.\nAnswer: 82*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -37*h**2. Let m(t) = 83*t**2 - 38. Give m(j(w)).\nAnswer: 113627*w**4 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69 = -7*h + 71. Calculate the smallest common multiple of 22 and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3966833.82 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.837 + 0.163. Let q = -0.2 - 0.2. Which is the nearest to -2.7? (a) q (b) g (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 + g + 1. Let n(r) = -2*r**2 - 11*r - 13. Let v(o) = k(o) + n(o). Let c be v(-8). Suppose -q = q + c. Put q, 4, 2 in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 2 = -7. Let j be 2 + (-3000012)\/(6\/n). Suppose -5*g + 1176334 = q - 1323662, -j = -3*g + 2*q. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1612846?\nAnswer: 2, 311, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12012111?\nAnswer: 3, 444893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-9))\/r**6*(r*r**(-2))\/(r*r\/((r*r\/((r*r**9)\/r))\/r)))**19 assuming r is positive.\nAnswer: r**(-475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 + 32 + -71 + 52.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/(j*j**(-7)))\/(j*j**(2\/47)\/j))\/((j\/(j**(-1\/24)*j))\/j**(-14)))**(-15) assuming j is positive.\nAnswer: j**(39955\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -20*p**3 + p**2 - 1. Calculate b(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 80\/10 + (0 - 2). Is (-2)\/k + (-25640)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3\/7, 5, -1\/2, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -4a33 (base 12) to base 11.\nAnswer: -6339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 + (3 - -3)\/(-2). Let u(k) = 13*k**2 - 4*k - 3. Let c be u(f). What is c rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the third derivative of c**6\/24 - 335*c**5\/6 + 3875*c**2. Solve t(w) = 0.\nAnswer: 0, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10499 = -211*s - 2692. Sort -1, 0, 1, s in decreasing order.\nAnswer: s, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(5 + 2*(sqrt(1008) + -3 + (-1 + sqrt(1008) - sqrt(1008))**2) + -3).\nAnswer: -10 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 + 2*r**2 - 2*r + 3. Give g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*p + 2*p + 2*p)*(5 - 4 + 0) - 4*p + 13*p + 8*p + 0 - 3*p + 0 + (4 - 4 + 2)*(-4*p + 2*p + 0*p) - 4*p + p + 2*p as v + c*p and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*t**2 - 1531*t - 2*t**2 + 1531*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1113 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 346013.3 days in milliseconds?\nAnswer: 29895549120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/12 + 1 + (-1078)\/(-84).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j = -s - 16, -669 = -j + 4*s - 696 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -814*i**4 - 53*i - 11.\nAnswer: -9768*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 796322*y**4 + 4127321782*y**3\/3 - 1402208176*y**2\/3 + 8764408*y\/3 - 4608 = 0. Calculate y.\nAnswer: -1728, 2\/631, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -1 + (2316\/234 + -10)*-57.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2611083.\nAnswer: 3, 137, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 38833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(75)\/sqrt(3)*5*-3)\/(sqrt(20)\/sqrt(4)*6 - (sqrt(100)\/sqrt(5))\/sqrt(4))*-4)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u**3 + 6380652*u**2 + 5089058089728*u - 50891218964480 = 0. Calculate u.\nAnswer: -1595168, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/6, 1\/3, -0.07, 3\/4 in decreasing order.\nAnswer: 3\/4, 1\/3, -0.07, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 2*j + 36 = l, -4*j = -3*l + 30. Calculate the least common multiple of l and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 672, 1375, 2078?\n\"Answer: 703*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3378*i**2 + 3348*i**2 - 10057*i**2 + 3327*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 2*b**2 - 75*b + 6. What is a(39)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -291 divided by -1?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 AM and 2:29 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -37 - 1\/2*v**2 + 75\/2*v = 0.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3\/3 + 169*t**2\/3 + 7055*t\/3 - 7225\/3.\nAnswer: (t - 1)*(t + 85)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 2 + 2)*(4*i - 2*i - 3*i) - 2*i + 0*i + 3*i + (0 + 3 - 5)*(109*i - 174*i + 140*i) to o + g*i and give g.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -795 + 800. Suppose s*o - 2 = o - x, -5*o + 2 = x. Solve -5*h + l + 8 = o, -4*h = -2*l + 5*l - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -5*w**2 - 5. Let j(v) = v**2 - 4*v - 2. Let g(l) = -4*l**2 + 18*l + 9. Let c(s) = 4*g(s) + 18*j(s). Give c(p(y)).\nAnswer: 50*y**4 + 100*y**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**2 + 2376*u + 115020.\nAnswer: -4*(u - 639)*(u + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08 times -0.025?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 15) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 222250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1530056 (base 8) to base 5\nAnswer: -103011233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-483)\/253 - -2) + 262\/22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.3, -2\/35, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 272 + -279. Let t(q) = -20*q + 25. Let r(y) = -41*y + 50. Let x(w) = -4*r(w) + 9*t(w). What is the units digit of x(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -2. What is the smallest common multiple of (-10)\/(-3)*(z + 76\/20) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of 7\/3*p**4 - 1\/15*p**5 - 98\/3*p**3 - 35*p**2 + 0 + 0*p. Determine k, given that i(k) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1048540 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1032937\/10, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -3. Let l = 10 - s. Suppose -20*v + 0 = -22*v + 22. Is l < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(((sqrt(2736) - (-2*sqrt(2736)*-6 - sqrt(2736)))*-5)**2 - (4 + (-1*sqrt(2736))**2)*-1).\nAnswer: 41056440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**2*r)\/r**(6\/11) assuming r is positive.\nAnswer: r**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -847.07 rounded to the nearest integer?\nAnswer: -847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 39, 2, -4, 943, 1.\nAnswer: -4, -2, 1, 2, 3, 39, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 45323.11 decades in years?\nAnswer: 453231.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -0*a - 5*a. Calculate the common denominator of 5\/264 and (690\/(-9))\/((0 + -4)*a).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1565245939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3747 + 5566 = 17*p. Solve -2*d - 113 = -p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10350 and 6.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 189 - -74. Which is the third smallest value? (a) h (b) 5 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {g: 1, x: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, 5, -7, -1, -11 in decreasing order.\nAnswer: 5, 2, -1, -4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 9043320 divided by -1716\nAnswer: -5270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 - (2 + -6)) + (20 - 2). Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -59905*x + 59903*x - 5*v, 2*v = 2*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 85*z - 468. Let i be y(6). Solve -185 - 67 = -i*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 4*o**3 - 4*o**2 - 7*o + 8. Let b be a(4). Suppose -3*y = -3433 + b. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -22? (a) -2 (b) -16 (c) 3 (d) 2869 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 - (-407)\/(-33)) + (-5 - (2 + -5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 25472\/41 at least 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*j - 6 + 6 + 60*j to a*j + p and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*p = 16*p - 12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(14*-1))\/(-19*(-160)\/1216).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 25.5421725 - 16.542167. Let y = 9 - s. What is y rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -1, 2, 1\/62, 2\/7, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, 2\/7, 1\/62, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 2035, 43, 7, 5, 29 in decreasing order.\nAnswer: 2035, 43, 29, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j*j**40*j*j*j*j\/j**(-1\/23) assuming j is positive.\nAnswer: j**(1059\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (18\/(-54))\/((-10)\/(-3)). Let k = 208.44 + -208. Let g = -3.44 + k. What is the third biggest value in b, 2\/33, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*t - 99*t = 180 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, 59, -9326, -2?\nAnswer: -9326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, f: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/300 and -73\/750.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 4, 25.8, 0.89?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -2*t**2 - 3*t. Let l(f) = 3*f**2 + 2*f. What is 4*k(p) + 5*l(p)?\nAnswer: 7*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) 0.14 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -38*p + 189*p - 7406 - 21133. What is the greatest common divisor of p and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 0*n + 4 - 4 + 2*n. Let d(p) = 2*p - 3. Let a(u) = 25*u - 35. Let g(k) = -3*a(k) + 35*d(k). What is b(g(q))?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 13952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*w - 80 = 2*f, 5*f - 3*w - 270 = -261 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2*406\/(-112)*(-116)\/(-29)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1\/233 (b) -3178 (c) -0.4 (d) 0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/p**(17\/3))\/p)\/(((p**(2\/27)\/p*p)\/p)\/p))\/(p**11\/p*p**37) assuming p is positive.\nAnswer: p**(-1370\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7563 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -935 - 3200*t**2 + 470 - 1154*t**2 + 465.\nAnswer: -4354*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -435597\/62 - -7026. Let a = 109005023\/36237636 + 1\/292239. Let z = x + a. Calculate the common denominator of z and 49\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1915314 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 PM and 11:55 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 47*n + 82 + 153. Let s(o) = -14*o. Let u(z) = -21*z. Calculate n*u(w) + 7*s(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 24 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -74, 3, -1, -4 in ascending order.\nAnswer: -74, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + 7. Let l = n + -9. What is the remainder when 53 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (4 + 2) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 38867 + -19576. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/(-24) - (0 - (-75327)\/(-60)). Let b = o + -1250. Let f = -785\/3 - -240. Find the common denominator of f and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -68013, -136055, -204107, -272175, -340265, -408383, -476535, -544727?\nAnswer: -612965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1135 - -2212. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 0.5 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - 5. Suppose s = 2*l + 5*t - 156, -t - 4 = -3*t. Suppose 0 = 5*k - l - 12. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**2 + 6*q + 3. Let s be f(-6). Suppose 0 = -s*n - 0*n + 3. Suppose -317*g + 641*g - 325*g = 0. Solve g = o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -99 + 101. What is the biggest value in a, -0.3, -0.6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9 + 5 - -6) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.2, 5, -1.5 in ascending order.\nAnswer: -1.5, -0.5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 7*v**3 - 18*v**4 + 16*v**4 - 22*v**3 + 9*v**3 - 2 + 9*v**3 - 14*v**2 in the form q*v**2 + k*v**3 + x + c*v + o*v**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -d - d - 28*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:43 AM and 2:42 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1706523.\nAnswer: 3, 7, 13, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 4*r**3 + 3*r**2 + 3*r + 3. Let o be t(-3). Let b = o + 102. Calculate the remainder when 102 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-94)\/3*(-8013)\/(-5342).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**3 + 2*x**2 - 1. Let n be c(1). Find the first derivative of 0*m**n - 1 + 5 - m**2 wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(3\/4)*19\/57\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 543 + -543. What is the closest to -0.06 in 2, c, -1, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -138 - -193. Let z = 65 - f. What is the highest common factor of z and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2135*54\/(-9) + 6\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*v - 16. Let f = -12 - -32. Calculate the highest common factor of v and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 - (-2)\/(6\/9). Suppose y*h + 20 = 6*h. What is the third derivative of 0*l**2 - 3 - 3*l**h + 3 - l**2 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1516*l - 423438 + 423438 + (2 - 3 + 0)*(-2*l + 4*l - l) + 0 + 0 - l + 3 - 3 + l)*(-4 - 2*l + 4).\nAnswer: 3034*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of k**4\/4 + 4*k**3 + 6*k**2 + 15*k - 7. Let q be j(-11). Let o = 0.8 - 1. Sort o, -2\/9, q in decreasing order.\nAnswer: q, o, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4.4 + 0.4. Let l = -26.9 + 27. Let t(p) = p - 7. Let u be t(6). Which is the closest to u? (a) 3\/5 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 0*b - 3*b - 222, -89 = -h - 4*b. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 6*h**2 - 1 + 0 + 83*h**2. Let n be q(2). Suppose -7*r = -2*r - n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (0 + (-17 - -15))*-1859434*4\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2c464a3 (base 13) to base 15\nAnswer: 13b372e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 + -16. Suppose 3*l - n*l = 0. Suppose l*w + 3*w - 6 = 0. Solve t + w*h = -0*t, -3*t = 3*h - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 2*y**4 + 3*y + 3 - 5*y to the form d + m*y**4 + p*y**3 + s*y + q*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 34.5213 and 664.\nAnswer: 22922.1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -232344301 (base 5) to base 7.\nAnswer: -12001262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (0 - 1) + (-2 - -8 - -333).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9757*q - 801 - 6798*q - 446 with respect to q.\nAnswer: 2959","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 43.7 + -44. Let j = 0.6 + -0.1. Which is the closest to -1? (a) j (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/7? (a) -5\/6 (b) -27 (c) 0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-6)\/8*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*i + 15*i - 16 + 160.\nAnswer: -2*i + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 - -16. Solve 5*o + f = 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 2*k - 6. Let s be r(1). Is s\/24 + (-20721)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n - 49. Let a be m(27). Let g = a - -119. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 3*q**2 + 4*q**2 - q + 2 - 3*q**2. Let m = 14 - 12. What is the tens digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -8*w + 4. Let d(a) = 8*a - 3. Let o(z) = -5*d(z) - 4*y(z). Let c be o(-1). Suppose -x - t = -28, 88 = 4*x + 3*t - c*t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/4*3\/((-54)\/(-16332)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -152*o + 148*o = -4. Let t(y) = 4*y**3 + 3*y**2 - 5*y + 3. Let x be t(o). Solve -3*l = 2*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(19) + 1)*1 + -3)**2 + ((sqrt(1539)*1 + sqrt(1539))*5 + 3)**2.\nAnswer: 548*sqrt(19) + 153944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100011110110000 + 0?\nAnswer: 100011110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -320728, 8 in decreasing order.\nAnswer: 8, -5, -320728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -25473, -25395, -25259, -25059, -24789?\n\"Answer: o**3 + 23*o**2 + 2*o - 25499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 8 = 7*f. Find the second derivative of 3*x + x - 2*x**2 - 2*x + x**f wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 137 + -136. Let s(p) = 1 - 7*p - 6*p + 18*p. What is s(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 9 = -4*d, 4 = 5*q - d - 4. Let c = 346 - 346.3. Sort -8, c, q in ascending order.\nAnswer: -8, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -70*h**2 + 7*h + 5. Calculate b(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -5*k. Let o(x) be the third derivative of 0*x + 0*x**3 - 1\/24*x**4 + 0 - 7*x**2. Calculate o(r(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -88*u**4 - 300340*u**3 + 3*u**2 - 246947*u - 17 wrt u?\nAnswer: -2112*u - 1802040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 24 - 9309\nAnswer: -9285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 6*24\/180*-55*(2 + 6\/(-4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 144629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1548 or 23?\nAnswer: -1548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(2\/11)\/l**(-1\/4)*l**(-7)\/(l*l**(1\/5))*(l**1*l)**5\/(l**(-1\/4)\/l*l**(-7)*l*l) assuming l is positive.\nAnswer: l**(933\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 13821 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**5 - k**2. Let v(y) = 7*y**5 + 23*y**4 + 20*y**3 - 30*y**2 - 32*y + 16. Let b(r) = -6*c(r) - 3*v(r). Solve b(a) = 0 for a.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 99298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**4 - 6*f**3 + 6*f**2 + 7*f - 6. Let h(r) = -5*r**3 + 5*r**2 + 7*r - 5. Let c(k) = 6*h(k) - 5*n(k). Find the second derivative of c(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -r**3 - r**3 - 3*r**3 + r**2 - r**2 + 2*r**3 + (3*r**2 - r + r)*(2*r + 4 - 4) in the form o*r**3 + j*r + v + s*r**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -2 + 1 + sqrt(76).\nAnswer: 4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 25221560 (base 7) to base 15.\nAnswer: 2edd52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -3, 23, -7, -5, 172 in increasing order.\nAnswer: -7, -5, -3, 12, 23, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 1 = -8. Suppose n - 6*n + 8 = -4*u, 0 = 2*n + g*u + 6. Let j(k) = -k**2 - k + 3. Give j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -13.94651 and 3641121?\nAnswer: 3641134.94651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04 minus -562032.05?\nAnswer: 562032.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1960, 1690, 1420, 1150?\n\"Answer: -270*z + 2230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 17 and -0.0369896.\nAnswer: -0.6288232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -2*w**3\/3 - 40*w**2\/3 - 256*w\/3 - 512\/3 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(500))*1 - (3*sqrt(500) + -4))**2*2.\nAnswer: -640*sqrt(5) + 4128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*c - 36*c + 9 - 9.\nAnswer: -79*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2\/5, 5, -1\/2, 2434, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/15)\/(4\/(40\/(-1))). Suppose 5*c + 56 = -4*q, c - 3*q = -7*q - 24. Let h(p) = p**2 + 9*p + 6. Let j be h(c). Is j != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 44, 48, 56, 68, 84?\n\"Answer: 2*p**2 - 2*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.35000095 - -0.35. Round f to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 3 y when four letters picked without replacement from hyyyhyhhyyhvhyyyvhyy?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3075754, -6151510, -9227266, -12303022?\nAnswer: -15378778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4 - 3)*-6 - -3. Let b = 1 - p. Suppose b*v - 3*f = -12, -2*v + 8 = -4*v + 2*f. Solve -z - 2 - 2 = v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -459657388.372 - -1.\nAnswer: -459657387.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10815746*j**3 - 114*j**2 + 17*j - 7.\nAnswer: 64894476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -35435*x**3 - 28*x**2 + x - 19.\nAnswer: -212610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*t - 103*t**2 + 27*t - 15*t.\nAnswer: -103*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 166 is divided by (7\/4)\/(5\/240)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 134, -179, -5, -1144 in decreasing order.\nAnswer: 134, -5, -179, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*(v**3*v)\/v*v**(1\/11)*v)\/(v**4\/v**(4\/5)))**(-5\/8) assuming v is positive.\nAnswer: v**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -21358 - 0?\nAnswer: -21358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3279, 3208, 3089, 2922?\n\"Answer: -24*x**2 + x + 3302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14076 and 58205824.\nAnswer: 523852416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -35 - -17. Let c be k\/4*8\/(-6). Let t = c - 4. Put t, -1, 4 in descending order.\nAnswer: 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 4:47 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -520 + 882. List the prime factors of v.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1073272 divided by 134159?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 53.57172 litres to millilitres.\nAnswer: 53571.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -34917, -69850, -104797, -139764, -174757, -209782, -244845, -279952?\n\"Answer: -f**3 - f**2 - 34923*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(1700)*5)**2.\nAnswer: 382500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 1 = -7. Let s = 3 - 3. Suppose 4*q - 2*a - 230 = s, i*q - a - 16 = 158. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14*55\/((-5500)\/80))\/((-1)\/5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xaaxaxvv. Give prob of sequence xx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1748 divided by 1214.\nAnswer: -874\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be 50\/(-8) - 1\/(-4). Let c(j) = -10*j - 2. Let x be c(v). Is -2*1 - (1 - x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = n - x - 4, 4*n - 26 = 2*x - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -46 (b) -3\/2 (c) -2 (d) -2968\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 31 + -33 - ((1 - 0) + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xnxxxnnnxggxxxgngnx. Give prob of picking 2 x.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a + 2. Let s be g(4). Let t = 0 + -1. Let v be (-1)\/9 - 156\/54. Put v, t, s in ascending order.\nAnswer: v, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u*((u\/(u\/u**(-15)*u))\/u)\/u))**(-29))**18 assuming u is positive.\nAnswer: u**(-8874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7753280 and 58240?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 AM and 6:46 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add together -7647495.6652 and -7.33.\nAnswer: -7647502.9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -47.98 and -478.\nAnswer: -525.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-93)\/9 - -2)*28320\/(-4). What is o rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (72\/196)\/(23\/((-3864)\/(-36)))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 218, -2\/7, -1 in descending order.\nAnswer: 218, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -112747331 take away -0.2?\nAnswer: -112747330.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - 2. Let j(m) = -m**2 + m + 2. Determine -3*f(q) - 4*j(q).\nAnswer: q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - 9*q + 66. Calculate r(-19).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 505 = 5*f - 5*w, -2*f = -5*w - 98 - 95. Calculate the highest common divisor of 200 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25684 - 14087. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 102 - 50. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/21)\/((-4)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 263? (a) 1\/6 (b) -7 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42528 is divided by 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(99)*-1)\/sqrt(9) + 4*(sqrt(11) + sqrt(176)*4).\nAnswer: 74*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.5*1.491\nAnswer: 0.7455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -3, 23, 61, 111, 173, 247, 333?\n\"Answer: 6*h**2 + 8*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaraxxa. What is prob of picking 1 r and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -3*u**3 - 14 + u - 3*u - 2*u**4 - 19 - u**2 + 28 in the form f*u + v*u**3 + x*u**4 + b*u**2 + z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13360?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.83 + 0.43. Let u = 1.2562 - i. What is u rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -r**2\/4 + 168*r + 673\/4 = 0.\nAnswer: -1, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 5:04 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 7*k + 504. Let x be z(-72). Let c be ((-40)\/(-32))\/((-2)\/(-8)). Put c, x, 1 in decreasing order.\nAnswer: c, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20812405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1149c5 (base 13) to base 8.\nAnswer: 1441324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2769.1 + -2617. Round g to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14996 is divided by 264.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be (7\/(-14))\/(1\/(-6)). Find the third derivative of -65*a**2 + 6*a**5 - d*a**5 + 56*a**2 wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/1853085 and 10\/153621.\nAnswer: 561484755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -273*i + 273*i - 30 = -6*t, -i = i + 4*t - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 647394, 647408, 647420, 647424, 647414, 647384, 647328?\n\"Answer: -f**3 + 5*f**2 + 6*f + 647384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 2*m = m + 69, 2*m + 70 = 2*p. Let h = p - 25. Calculate the remainder when 18 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2650, 2651, 2652, 2653, 2654?\n\"Answer: j + 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4553 + 4?\nAnswer: -4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange k**3 + 2 - 8 + 3 - 10 to h*k + s + g*k**3 + u*k**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (-6 - -15) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 377216\/(-1904) + 181 + ((-4)\/(-34))\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/60 and -37\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -572691 rounded to the nearest 1000?\nAnswer: -573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 98 divide 88350318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 1. Let r(k) = k + 1. Let t be r(z). Let o = t - -9. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 680 by -2.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2139\/21370 - 1\/10685. Let b(v) be the first derivative of -n*v**4 + 2\/15*v**3 + 0*v + 5 + 0*v**2. Factor b(s).\nAnswer: -2*s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 1:13 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 111 divide 21867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate x**2*z**2 + 1907*x**2 + 151*z**3 - 6 with respect to z.\nAnswer: 2*x**2*z + 453*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22461 is divided by 468?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 719749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1005 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a**2 + 42363*a - 42364 = 0. What is a?\nAnswer: -42364, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(20) + sqrt(140)\/sqrt(7) + sqrt(20))\/sqrt(10) + sqrt(2)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = 4*f + 168 - 37, -548 = -24*k - f for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-30)\/(-8))\/(2955\/1140 - 75\/(-475)).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.05, -327369, -0.4, -2.9, -4 in increasing order.\nAnswer: -327369, -4, -2.9, -0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 5\/((-45)\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-276)*-3 - 272\/1104\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of 1\/195*v**6 - 2\/13*v**3 + 68 + 11\/78*v**4 - 2*v + 0*v**2 - 3\/65*v**5. Factor h(y).\nAnswer: 2*y*(y - 3)*(y - 2)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dndndttdt. What is prob of sequence dt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7123 = -23*y - 223. Let u be (45\/y)\/(4\/(-10)). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32701453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 0.1, -5, 0.2, 0.8, 9, -9264?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 279299*z**2 + 0 + 57*z + 1 - 279302*z**2 to r*z + s*z**2 + t and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.1 in -2, -2\/321, -5, 4\/7, 2\/99?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 38 - 35. Solve 4*u + 28 = -2*i - 3*i, 0 = h*u + 3*i + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 448.0476mg to grams.\nAnswer: 0.4480476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z**(-8)*z))\/z**(2\/97) assuming z is positive.\nAnswer: z**(774\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -1 - (26 - 7 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l + 2*l = 16. Which is the nearest to 1? (a) -29 (b) l (c) 1\/7 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 765 and 3599920.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 20, -2, 10, -5 in descending order.\nAnswer: 20, 10, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.832496 tonnes to grams.\nAnswer: 7832496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.173, -2, 2\/8485?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -51023 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -9*i**2 - 21*i - 11. Let p(d) = -5*d**2 - 11*d - 6. Let m(f) = 6*g(f) - 11*p(f). Let k be m(5). Sort 2, -2\/5, k, 7\/6 in descending order.\nAnswer: 2, 7\/6, k, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -8*z**3 + z**2 - 5*z + 4. Suppose -9*s = -6*s + 180. Let f = 57 + s. What is the hundreds digit of k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12.1 times 0.06248?\nAnswer: 0.756008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-6) + (-4)\/10)*(-15625)\/(-9375)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 17*d**3 + 47*d**2 + 17*d + 12. Let s(z) = 3*z**3 + 9*z**2 + 2*z - 1. Give -m(b) + 5*s(b).\nAnswer: -2*b**3 - 2*b**2 - 7*b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -176744+-2.925\nAnswer: -176746.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 14, 0, -35?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y**2 - 3*y**2 + 1124*y**3 + 1115*y**3 - 2589*y**3.\nAnswer: -350*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from agqqdiqgqii. What is prob of sequence qq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/2*32\/4. Let n be 37\/((-14)\/b + 2). Suppose -2*r - 2*r = -n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 198 and 0.8.\nAnswer: 158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 26 = z + 4*z, 4*z = -h + 12. Let q = -17 - -21. Suppose z*k + 2*y = q*y + 2, 3*k - 2*y - 6 = 0. Solve -p + 0 + k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -a + 4*m + 12, -39*a + 3*m - 32 = -28*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 3*b + 0*b + 1455 - 2*b - 1454. Let d(t) = -2*t**2 - 3*t + 3. Let l(p) = -3*p**2 - 4*p + 4. Let r(x) = -7*d(x) + 5*l(x). What is q(v) - r(v)?\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 - 22*b**2 - 61*b + 32. Let r be s(24). Let p = r + 130. Are -152 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 9*g - 6. Suppose -3*t = -6*t + 18. Let v(p) = -5*p + 8. Let w(u) = 11*u - 15. Let q(i) = 5*v(i) + 3*w(i). Give t*z(f) - 7*q(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = -3*v - 17, 2*v - v - 11 = 62*s - 60*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 404?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n + 4 + 6. Let j = 4 - 4. Which is the smallest value? (a) n (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 4*t - 23 = 0, 9 = -4*o - 3*t - 9. Let c be 8\/(-42)*18\/(-4). What is the closest to 0.1 in -0.2, c, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 301212800 a multiple of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - 5*j - 7. Let o be c(5). Let m be (o\/28)\/(1\/(-4)). Solve -4*w - m = g, -w - 13 + 3 = -3*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 3*i - 1. Let p be y(-3). Let t(j) = -21*j + 13. Is t(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -97939, -2, -14, 7 in increasing order.\nAnswer: -97939, -14, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 859*b**2 + 746*b**2 - 656*b**2.\nAnswer: 949*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(5\/3))**(-3\/7))**(2\/21))**(-6) assuming b is positive.\nAnswer: b**(20\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1133*f + 1341*f = -921*f - 1034*f + 4326 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11\/5? (a) 5 (b) 1\/5 (c) 2 (d) -0.529 (e) -0.029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 0*m = 0. Suppose 2*k - 4*k - 3*d + 990 = m, 3*d - 2466 = -5*k. Suppose -l = -5*l + k. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 3, a: 3, n: 1, x: 2, d: 3, i: 3}. Give prob of sequence dxn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2 - 1 + 5*w - 2*w**2 - 8 - w**3 - 6*w. Suppose 0 = 2*x - 3*v + 15, -2*x + 2*v - 10 = -5*x. Give r(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1\/107663 - 215311\/1614945. Let r = -70 - -348\/5. What is the nearest to y in r, 3\/4, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -8*w + 12*w - 1884, 2336 = 5*w - o. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1528136 (base 9) to base 15\nAnswer: 11a8d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2860304341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -2*i**2 - 15*i - 5. Let x be u(-6). Calculate the common denominator of (40\/22 - 2) + (-58476)\/(-4840) and (13\/6)\/x*124.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9761084 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d**2. Let w(b) = 9*b**2. Suppose 82 = -4*s + 62. What is s*w(f) - 21*g(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -54 - -54. Suppose -d + 334 = 4*c + d, 3*c - d - 248 = v. Let o = -46 + c. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 1. Let t(a) = a**3 + 8*a**2 + 7*a + 3. Let s(b) = 6*n(b) - t(b). Let k be s(-7). Solve -1 = -k*c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148239 is divided by 950?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17071 is divided by 4261.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuukuudkuu. What is prob of sequence kud?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 699 + 3\/(15\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 a, and 2 g when four letters picked without replacement from mammaamgdgadmdaga?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -4*h + 11. Let b be 2 - 5 - (-2 - 3). Let s be z(b). Solve 4 = 3*y - 4*r, 0 = 4*y + s*r - 6*r + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41200 - 16057 = -1479*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 66 or 62?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**3 + 568599460*c**2.\nAnswer: 4*c**2*(c + 142149865)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 3*z - 6. Suppose a = -z*a. Factor 0 + a*l - 1\/3*l**2.\nAnswer: -l**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -5*w - 7. Let s be z(-5). Suppose -3*u = -6*u + 5*l + 18, l = -3*u + s. Let d(i) = 2*i + 0*i + 2*i - u*i. Let m(o) = -6*o. Calculate m(d(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 + 10*d - 10. Suppose a + 7 = -4*m, 3*a + 5*m - 3 = -10. Let s be 4\/((-3)\/9 + a). Is f(s) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from uvvvuvuuvuvu.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 74788 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5320209677 to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -14 - 14. Calculate the common denominator of (-665)\/g*(-2)\/(-6) and -24\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 143 in 0.3, -1\/4, -2\/17, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21936*j**5 - j + 928?\nAnswer: 438720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 474*z - 121*z - 121*z - 178 - 117*z - 119*z in the form x + r*z and give x.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**2*t*t*t)\/(t\/t**(-2)))**(3\/28)*((t\/(t*t**4))\/(t\/t**3))**19 assuming t is positive.\nAnswer: t**(-529\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 71149*x + 1778756. Determine m(-25).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 20310 (base 4) to base 6\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*j + 101 = 161. Solve j*v + 5*q = 3 + 2, -4*q + 2 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106614?\nAnswer: 2, 3, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 13*f + 2. Suppose -1171*s - 5*g = -1174*s - 1, 0 = s - g - 1. Let p(y) = 13*y + 3. Calculate s*p(m) - 4*l(m).\nAnswer: -13*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2332*l**2 - 1 + 1160*l**2 + 1 - 20941*l**2.\nAnswer: -22113*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29.5 - 30. Which is the nearest to -1? (a) -1 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -17226\/5 and -3446 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 3 - 17. Suppose 3*x = q*x - 6. Is x\/9 - (-397)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(-9\/8)\/k)\/k)**(-4\/7)\/(k*k*k*k*k*(k*k\/(k**13*k))\/k*k*k\/(k**(5\/8)\/k*k)))**(43\/4) assuming k is positive.\nAnswer: k**(18877\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 + -13. Suppose -p + 2*h + 27 = q, 3*p + 0*p = 5*h + 86. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 992*k**2 - 981*k**2 - 3417*k**2.\nAnswer: -3406*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from ulvdldsvszsuuus.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 29483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 PM and 11:38 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 162 - 126 = -6*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 503603 is divided by 242.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 203107042 to the power of 1\/2, to the nearest integer?\nAnswer: 14252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*a - 33*a + 70*a - 40 = 2*h, 13*h - a = -275 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2108321 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1.28041 rounded to two dps?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**2 + 16*j - 43. Let p(m) = -m**2 - 25*m - 20. Let w be p(-24). Calculate the remainder when 57 is divided by h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -9*h**2 - 380*h - 56. Determine y(-42).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125584508?\nAnswer: 2, 7, 17, 23, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zrx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26*287\/82*12\/273.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-17)\/(-2) + 35\/(-70). Put 1\/4, 0, -2, h in increasing order.\nAnswer: -2, 0, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 13917, -11, 2, -5 in increasing order.\nAnswer: -11, -5, 2, 12, 13917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be 104\/(-156) + (-5)\/(15\/5068). What are the prime factors of u\/39*(-495)\/25?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 600 and 37875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -14544343 - 4?\nAnswer: -14544351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 + -1268684b?\nAnswer: -12686849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrgdxdrxddjrjhd. Give prob of picking 1 j, 2 g, and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**2\/5 + 397431*n\/5 - 1192284\/5 = 0. Calculate n.\nAnswer: 3, 397428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1 + sqrt(200)) + 2 + ((sqrt(200) - (sqrt(200) + 1 + -4)) + -4*(sqrt(200) + sqrt(200) + 0))**2.\nAnswer: -460*sqrt(2) + 12809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.7 * 0.7.\nAnswer: 3.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u - 10. Let n be x(12). Calculate the greatest common divisor of n and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 2*l**3 + 6*l**2 - 38*l - 10. Determine z(-8).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o**5 - 492*o**4 + 1901*o**3 + 370*o**2 - 1551*o + 476 = 0. Calculate o.\nAnswer: -1, 1\/2, 4, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 - -5)*2\/6. What is the remainder when 19 is divided by 40\/(-8)*y\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3454*s**4 + 148*s**2 wrt s.\nAnswer: -82896*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 140118, 3, -4 in ascending order.\nAnswer: -4, 0, 3, 140118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 538 a factor of 1629268867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2996 - -3100. Calculate the remainder when n is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 = 5*s - 19*q + 20*q, 0 = 2*s + 5*q - 34 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/3 - 2422*h**2\/3 - 19664*h - 118560.\nAnswer: 2*(h - 1235)*(h + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i + 1. Let r be t(1). Suppose -r*h = -5*w + 15, 4*w - 5*w + 3 = -2*h. Suppose h = -m + 4*m - 3. Which is greater: 1\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 7*c**2 + 1. Let p be r(-3). Let v be (-3)\/(4\/(p\/(-6))). Let k = v - 4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(1584) + 1) + sqrt(1584) - sqrt(1584)) + 4*(sqrt(1584) + 1) - (-4*sqrt(11) + -5 + (sqrt(264)\/sqrt(6))\/sqrt(4) + sqrt(11)).\nAnswer: 6 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26508.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 108 = -7*y. Calculate the least common multiple of y and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45600 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14.3 + 7.664. What is t rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3552 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -1340377.\nAnswer: 5361508","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 3*h + 7 = 0, -3*g - 5*h - 10 = 17. Let v be (-1 - 0) + g\/(-3). Which is the closest to v? (a) -4 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -328 - -2\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5669306713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 113974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/4)\/(8\/(-4)). What is the smallest value in 3, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 702 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25 + 22. Put d, -4, 1 in descending order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 58 - 9 = -4*f, -h = 4*f - 25. Calculate the remainder when 697 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) + sqrt(44)\/sqrt(4)*2 + 2)**2 + 1.\nAnswer: 12*sqrt(11) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1605933638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -238 - -242. Suppose 2*b = r*s - 24, 6*s + 2*b - 39 = s. Solve -3*h + 21 = 3*a, -4*a = 3*h - s - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x**2 + x**2 + 0*x**2)*(2 + 15 - 5)*(-5*x - x + 5*x) as z*x**3 + k + a*x + d*x**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61080?\nAnswer: 2, 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12011 + 14696. Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.065 (b) -2\/17 (c) 6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -326? (a) -0.04 (b) -5 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 38*b + 665 - 551 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3417 and 27999?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 0)*(5 + 3*z - 6 + z).\nAnswer: -20*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1064994356 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13021 + 20?\nAnswer: -13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 55 + (3 - (2 - 23)) + (-64 - -63)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 24 = 3*b, -5*d = 4*b - 4 - 10. Let w be (-2)\/(0 + b)*-3. Solve 0 = 2*v - 3 - w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -55 times 0.1\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5733\/8 + -720. What is the common denominator of g and -13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30242382?\nAnswer: 2, 3, 5040397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 2104*g - 8. Let m(k) = -178839*k + 682. Let z(o) = 4*m(o) + 341*t(o). Let v(d) = -2*d**2. Determine v(z(f)).\nAnswer: -8887328*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 71114 and 5846.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Total of -47579798132 and -0.0641.\nAnswer: -47579798132.0641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*n - 3*s + 240, 4*n + 3*s = -0*s + 192. Suppose n = -3*r + 7*r. Find the third derivative of 16*m - r*m - 15*m**3 - 4*m + 15*m**2 wrt m.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + ((-8)\/10)\/((-6)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1060420133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11.98 - 12.2. Let n = 0.32 + t. Let r(w) = 4*w - 3. Let h be r(2). Which is the second smallest value? (a) -1 (b) n (c) h (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*(-16)\/(-2)*14\/392*14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 0*k - 8. Suppose 5*a = v - 9, -4*v = 4*a - k - 4. Let g be v\/6 - 1\/(-3). Which is greater: g or -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 27265.01ml to litres.\nAnswer: 27.26501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 1 = -5*b - 1, -4*l - 16 = 0. Find the third derivative of 5*j**3 - 2*j**2 - 7*j**3 + 0*j**b wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7281 + 7297. What is the remainder when 799 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 108140 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.3887181l?\nAnswer: 388.7181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, 0.4, -6, 0.1443, -2\/19 in increasing order.\nAnswer: -22, -6, -2\/19, 0.1443, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/26 and -13\/35270?\nAnswer: 458510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -2*f + 957, -f + 0*i + 501 = -3*i. Find the third derivative of 21*y**2 - 18*y**6 + 486*y - f*y wrt y.\nAnswer: -2160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 + 54)\/(-1) - 0. Let u = f - -98. Suppose -u = 3*d - 4*d. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3\/5))**(-1\/35)\/(z**(-19)*z**(-7)\/z*z) assuming z is positive.\nAnswer: z**(4553\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3951367834 to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - -12 - (1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 24*(1 - 6\/9). Let q = s + -7. Suppose 0*j - q = j. What is j rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 2 d when four letters picked without replacement from fixkkxxfifdxfpixdxd?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 352511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -22 + 50. Let y = -2 - -10. Is y less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 793572.\nAnswer: 793572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -121*r + 14081 = -563*r + 17617 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 2)*(0 + u**3 + 0) - 4*u**3 + u**3 + u**3 + 4*u**2 - 2*u**3 - 4*u**2 + 4*u**2 + 13*u**3 - 4*u**2 + 6*u**3 - 3*u**3 - u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the third derivative of j**4\/8 + j**3\/3 - 13*j**2. Calculate h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 227735 and 149110.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-22)*((-2)\/44)\/(637\/(-7007))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*x**4 + 2*x**2 - 57313 - 140*x**6 + 57313 - 1214*x wrt x?\nAnswer: -16800*x**3 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100552135?\nAnswer: 5, 29, 349, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + 0)*(-68)\/4. Suppose y - 57 = -d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = v + 4, -16 - 2 = -3*v - 3*l. Let u be (-832)\/(-1248)*3\/7. Which is the closest to -0.2? (a) u (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -776323 - -1100323. What is o rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tsly when four letters picked without replacement from lqsllllslltlyxlqxll?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor k**4 - k**3 - 4*k**2 + 4*k.\nAnswer: k*(k - 2)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/3 + (-60)\/(-18). Solve -b - 4 - 3 = -n*y, -2 = -4*b - 3*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -0.03 (c) -1.9 (d) 0.21 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**33*o\/(o\/o**5)*o*o assuming o is positive.\nAnswer: o**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 14*m + 63. Give c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + c = -3*y + 35, 5 = -5*c. Calculate the lowest common multiple of 4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2, -9, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**3 + 9. Suppose 5*v = -3*f + 6, v - 3*f = 23 - 11. Let r(s) = s**3 + 591 - 587 + v*s**2 - 3*s**2. Determine 2*l(y) - 5*r(y).\nAnswer: -3*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 671289 and 11096?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + 2. Let b = q - 4.9. Let o be (-4)\/(-6) - (-22)\/(-6). Is o at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes after 9:24 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162 is divided by 67?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -58257*h + 58253*h + 4*b - 32 = 0, 2*h - 3*b = -19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14313570.\nAnswer: 2, 3, 5, 167, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 6*m**2. Let x(g) be the first derivative of 3*g**2\/2 - 10*g + 7. Determine x(z(b)).\nAnswer: 18*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 199 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 + 2 - (-2 - -5). Which is the closest to -0.2? (a) w (b) 0.4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10390, 10391, 10392, 10393?\nAnswer: 10394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1830\/6405*1974\/(-12)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-31))**(-4\/3)\/(y**(-1\/25)\/y**(14\/3)) assuming y is positive.\nAnswer: y**(-949\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 360\/24*(-33)\/9. Suppose -3*t = -t + 176. Let c = w - t. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jqq when three letters picked without replacement from {q: 3, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -21 + 12 - (-122)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - 0. Let y(l) = -l**3 + l**2 + 2*l + 2. What is the lowest common multiple of 3\/v*48\/(-9) and y(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (5 + -3)\/(-6)*-3. Let m be 16 + r + -4 - -2. Let i(v) = -4*v + m - 23 + 8. Let c(l) = -l. What is c(i(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/16)\/(-6*5\/40).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, o: 1, g: 14, j: 1, m: 2}. Give prob of sequence mko.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -16. Let r = 5 - n. Let s = r - 0.00000056. Round s to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4249 - -4269. Put r, -84, 0, 3 in ascending order.\nAnswer: -84, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -4*t + 171. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (48\/20)\/((-1)\/5). Let o(h) = -h + 3. What is the remainder when 44 is divided by o(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 + 1. Suppose 0 = 2*z - 3*r - 4 + 11, 0 = 4*z - 3*r + 11. What are the prime factors of d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from cwcjcjwjwwwwj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q. Let s(t) = -t**2 + t + 2. Determine s(f) + 2*y(f).\nAnswer: -f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 - 6*p**2 + p - 2. Let y be w(6). Suppose -11*i - y*n = -10*i - 29, 5*i = -5*n + 70. Solve -r - 6 = -2*g, 0 = -3*g - 4*r + 11 + i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-10)*(-495)\/(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -3 (c) 0.1 (d) -0.5 (e) 1 (f) -1.6212\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44966\/77 + -584. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/(v**0\/v))*v)**(-6))**38\/(((v*v\/(v**(-1\/2)\/v))\/v**2)\/(v**(-7)\/(v\/((v**(1\/4)\/v)\/v)))) assuming v is positive.\nAnswer: v**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1364066 - 1?\nAnswer: 1364065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -24b1 + 1?\nAnswer: -24b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(468) - sqrt(13)) + 4)**2*-6 - (sqrt(156)\/sqrt(3)*4)\/(sqrt(40)\/(sqrt(20)\/sqrt(2))).\nAnswer: -2100 - 304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 50 + l**2 - 50 + 3*l as g*l**2 + t*l + w and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 5*l + 90 = 0, 3*l - 2*l - 122 = -3*h. Suppose -5*z = -z - h. Suppose 2*d - z = -0*d. Solve 5*o - 15 = -5*a, 4*a + 8 = d*o + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (11 - -1)\/(0 - -1). Let z = 6594 + -6561. Suppose -x*f = -z*f + 1218. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12493 = -120*x + 43307. What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 - 14\/(-6))\/((-12)\/306). Let t be 10\/(30\/i + 2 - 1). Calculate the highest common factor of t and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (33*h + 307 - 307)*(-h**2 + 3 - h**2 - 5).\nAnswer: -66*h**3 - 66*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 115\/144 and 83\/1298394.\nAnswer: 10387152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44 + -27.2. Let w = i + -14.8. Which is the second biggest value? (a) w (b) -2 (c) 2\/185 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, m: 2, c: 4}. Give prob of picking 1 m and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 4:44 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 575 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes after 10:23 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2187*c*y**2 + 40*c*y + c + 12087*y**2 + 2*y - 148 wrt c.\nAnswer: 2187*y**2 + 40*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -8*u - 17. Let f be v(-15). Let p = f + 352. What is the highest common factor of p and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - -cb379?\nAnswer: cb37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1155569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*j + 49 = 43*j. Suppose 0 = 4*x + j - 63. Solve 2*u - x = 2*b, 0*b = -2*b + 5*u - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 467*m + 478*m - m**4 + 1 - 926*m - 8*m**2 as x*m**2 + v + r*m**3 + i*m + d*m**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and 2224215.\nAnswer: 4448430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k + 11. Let t = -27 - -18. Let f be h(t). Suppose -2*q - f*q + 112 = 0. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 1206*p**2 - 24*p + 63. What are the prime factors of l(4)?\nAnswer: 3, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from {o: 4, m: 3, t: 2, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -1 and -0.5.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 4*t**2 - 29*t - 3. Suppose 402*u = 392*u + 70. Give p(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 31 + 61*z + 20)*(2*z + 2*z - 3*z)*(4*z - 2*z + 0*z)*(-4 + 0 + 3).\nAnswer: -122*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -5026 divided by 5026?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 3 w when four letters picked without replacement from oowwoooowo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 PM and 4:59 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 70400 and 2750?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*q - 4552 + 14926 = -87*q. Is -799 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 - 10*k**2 - 10*k + 17. Let n be m(-9). Let b = -267 - -657. Let x be (6\/9 + -2)*b\/(-4). What is the greatest common factor of n and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 249713, -0.1, 4\/5 in ascending order.\nAnswer: -0.1, 4\/5, 249713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -261*c**5 - c**2*h + 1484*c*h - h wrt c.\nAnswer: -5220*c**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - 20021010210210012?\nAnswer: -20021010210210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 8.211529 to 2 decimal places.\nAnswer: 8.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8762976233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37952, -37929, -37898, -37853, -37788?\nAnswer: -37697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11553264 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 83\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 398 + 470. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 524000 rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 140 minus -8245659.71?\nAnswer: 8245799.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3\/2 - 75355*v**2\/2 + 1423091527*v\/2 - 131696570973\/2.\nAnswer: (v - 37631)**2*(v - 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 4 = 36. Let o(j) be the second derivative of j**5\/20 - 2*j**4\/3 - 13*j**3\/6 - 13*j**2\/2 + 4*j. Is o(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cwmm when four letters picked without replacement from {w: 3, p: 4, m: 5, c: 3, o: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2406.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 429597 divided by -429597.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*n + f, 0*f - 3*f + 6 = n. What is the least common multiple of n and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 + 74 = -4*h. Solve 8 + 47*t - 242*t**3 + 154*t**2 + h*t + 23*t = 0 for t.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 5*n = -q - 34, 0 = -3*q + 5*n + 46. Let i = 35 - 28. Calculate the remainder when q is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 89332531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1579469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 42147, 84132, 126115, 168096, 210075, 252052, 294027?\n\"Answer: -t**2 + 41988*t + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/24 and 49\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -63, 53062 in descending order.\nAnswer: 53062, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 890 and 768070?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(121)*-2*-1 + -3*1*sqrt(121)))\/((sqrt(66)*1*-5)\/(sqrt(54) + sqrt(1350) + sqrt(54) - sqrt(54))).\nAnswer: 54*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - -2. Solve 0*m = -3*m - l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 20\/(-100) + 1\/5. Let p(g) be the second derivative of 2*g + 1\/10*g**5 + 0 + n*g**4 + 0*g**3 + g**2. Differentiate p(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from vvvvwwvwvvv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the second derivative of -k**3\/6 + 15*k**2\/2 - 29*k. What is o(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -1 - 1 - (-5 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -357 divided by -17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + ((2*sqrt(128))**2 - sqrt(128)) - ((sqrt(4)\/(sqrt(2) - sqrt(2)*-1) - sqrt(2)) + (1*sqrt(10)\/sqrt(5))**2))*1.\nAnswer: -15*sqrt(2)\/2 + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 7 - 14*v)*(2*v + v - 2*v) + (-3*v + v + 0*v)*(-53 + 0*v + v + 51 + (1 - 1 - 2*v)*(5 + 0 - 3)).\nAnswer: -8*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of -a**5\/20 - a**4\/12 + 12*a. Factor p(n).\nAnswer: -n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*o**6 - 88*o**5 - 2*o**2 - 601*o?\nAnswer: 1080*o**3 - 5280*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (431*q - 999*q - 6*q**2 + 481*q)*(3*q - q - 3*q)*(6*q - 5*q + 3*q) to g + s*q**2 + f*q + w*q**4 + l*q**3 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2553 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 597765555 a multiple of 3615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -345 - -227. Let c = u - -118.00511. Round c to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 636652 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 5:43 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 9:14 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 56039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2\/9)*p*((p**4*p)\/p*p)\/p*((p\/(p*p*p\/(p*p*p**(-7))))\/p)\/(p**(-6)*p)*(p**(-7)*p*p**(-7))\/((p*p**2)\/p**(2\/11)) assuming p is positive.\nAnswer: p**(-1390\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9 and 0.0521?\nAnswer: 0.4689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 15*d = -45, -356*d + 358*d + 11 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 930348?\nAnswer: 6512436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 + 7*j**2 - 13*j + 54. Calculate a(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - (3 - 5))*-3. Suppose t = -4*g + 10 + 8, 8 = -4*t. Let m = o + g. Is 2 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 126*q**2 - 12*q - 13*q**2 + 63*q**2 + 12*q.\nAnswer: 176*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 13 - (13 + -22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1 and -55.51.\nAnswer: -55.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-63))\/(23064\/25947)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 20? (a) -0.4 (b) 14 (c) -1\/3 (d) 1\/3 (e) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j - 1. Let h(c) = -c**2 - 2*c + 2. What is 5*h(z) + 10*w(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of -67*q**4\/24 - 41*q**3\/6 + 34*q**2. What is the derivative of y(l) wrt l?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -371*m + 666 = 641 - 1783 - 789 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -5*u - 2. Solve 4*i - u - 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 840 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: Express (-3 + 5*s + 2*s - 5*s)*(8 - 8 - 4*s) in the form y + d*s + z*s**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 125 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -17 - -1.4749559?\nAnswer: -15.5250441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2 + sqrt(18)).\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*r**5 + 2*r**5 + 2*r**5 + (2*r**5 + 0*r**5 + 0*r**5)*(3 + 0 - 5) - r**5 + 3*r**5 + 0*r**5 + 1744*r**5 - 1872*r**5 + 58*r**4 - 59*r**4 - 8*r**2.\nAnswer: -131*r**5 - r**4 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m**3 - 7*m**3 + 2*m**3 + 2 + 0 as a*m + o + i*m**2 + b*m**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 58895, 58883, 58857, 58811, 58739, 58635?\nAnswer: 58493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 27 and 64818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 247 and 255398?\nAnswer: 255398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31250969.\nAnswer: 31250969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of -z**7\/105 - 359*z**5\/15 - 161*z**3\/6 + 1515*z**2. Find the first derivative of j(v) wrt v.\nAnswer: -8*v**3 - 2872*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 - 3 - 17 - (-1 + 5 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1678010461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from nknnnknnnnn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69 + 93 = 8*i. Sort 5, i, -3, -40 in descending order.\nAnswer: 5, i, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/17, -10080, -1\/3, -5, -1\/99?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, j: 8, n: 1, s: 9}. Give prob of picking 1 n and 1 j.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 3186*o - 3184*o - 6 = 0, -5*f + 33*o = 170 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 5.8 less than -120812.480621?\nAnswer: -120818.280621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 10:13 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + 0 - 8\/(-6))*0. Suppose -2429996 = -3*w - 4*m, -w - 6*m + 3*m + 809997 = c. Round w to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes before 5:22 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1441, 1440, 1439, 1438, 1437?\n\"Answer: -i + 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/15, -2, 7, 4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 66*w. Suppose 0 = 16*u + 50 + 14. Let b(k) = -k - 4. Let f(l) = -l - 5. Let y(o) = u*f(o) + 5*b(o). What is m(y(n))?\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 940896 and 616?\nAnswer: 6586272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -12*w**4\/7 + 1024*w**3\/7 - 1276*w**2\/7 - 5736*w\/7 + 288 = 0.\nAnswer: -2, 1\/3, 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8304410 > 8304410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-3 - (-55)\/18). Let j = i - -84. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*w, -z - 3*w - w - 7 = 0. Let i(s) = -z - 3*s + 4*s - 3*s**2 + 4*s**2. Let v be (7 + -4 + -3)\/2. What is i(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 563400 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-1\/5)\/q**4*((q*q**(-9))\/q)**(2\/15) assuming q is positive.\nAnswer: q**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -66.21291 rounded to one dp?\nAnswer: -66.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yrryyyryyryyyyyrryy.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*h**2 + 2*h**2 - 7*h**2 + (-2*h + 4 - 4)*(-h + 3*h + h) - 5 + 5 + 2*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/77 (b) 143 (c) -0.2 (d) 1 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-3 - -1)\/(48\/113)*2 and 9\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 + 2*d + 37. Let s be v(0). Suppose -s = -x - 15. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -75. Let h = x + -56. Let p be 3 - 2 - 1 - 2. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (175 + -173)\/(39\/((-390)\/140))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -230*v - 4 = -231*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 11*y + 15. Let s be r(-3). Let j be (-105)\/(-945) - (-1)\/(s\/(-1564)). Calculate the highest common divisor of j and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f - 4*f + 2*f)*(3*f**3 + 0*f**3 - 4*f**3) - 3*f**4 + 0 + 0 - 2*f**4 - 5*f**4 - 2*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19094*g - 9565*g - 9536*g - 7*g**3 + 1 to o*g**3 + s + f*g**2 + p*g and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56683*q - 34 + 32 + 6219*q.\nAnswer: -50464*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from nrrrrrrrrrnrrrrn.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 3*x - 72. Suppose 3*i - 23 = -5*n - 0*i, 4*n - x = -2*i. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 56133, 225343, 507633, 903003, 1411453, 2032983, 2767593?\n\"Answer: 56540*n**2 - 410*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17246 - -25653. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-17 + 0) - (-6 + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((3*-2*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66))*3)\/((sqrt(216)\/(-1*sqrt(4)))\/sqrt(9)).\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*c - 43*c - 367 = 241 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + i = -3, -2*g + 2*i + 0 = 6. Solve -7 - 11 = 3*o - 3*b, g*o - b = -11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1495*v = 1509*v + 14 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -423 divided by -31912.\nAnswer: 423\/31912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in 3\/2, 68, -207?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - 176?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 12702715 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 6 + -14 - -48?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -129*q**3 + 130*q**3 + 468302813604*q**2 - 468302813604*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 2*z**3 - 17*z**2 + 28*z + 11. Let o be r(12). Let v be (463422\/(-9))\/((-76)\/(-2)). Let x = v + o. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/47? (a) 0.5 (b) -5\/8 (c) 1\/1412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 - 10*k + 5)*(-11*k**2 - 26*k**2 + 36 - 34) to the form i*k + c*k**2 + x*k**3 + j and give x.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) - (sqrt(192) - (sqrt(192) + ((sqrt(192) - (sqrt(192) + (sqrt(192) - 1*sqrt(192)) + sqrt(192)))*-1 - sqrt(192)))))\/(sqrt(64)*6).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/7))**(-2)*o**(-6)*o\/o**4)**(-4) assuming o is positive.\nAnswer: o**(268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 + 8*u + 7. Let b be r(-6). Let x(k) be the third derivative of k**6\/120 + k**5\/10 + k**4\/4 + k**3\/2 + k**2. Determine x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/11 in 1\/196, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iq when two letters picked without replacement from {q: 3, x: 2, c: 1, i: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/((n\/(n\/(n*n*n**7)))\/n))**(-5\/8) assuming n is positive.\nAnswer: n**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvl when three letters picked without replacement from {v: 7, l: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3739665403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 767234 - 10621?\nAnswer: 756413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 9339568505 minus 62.26?\nAnswer: 9339568442.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -2. Suppose -3 = -3*t + 6. Let h be 2 + t + 0 + -1. Solve -h*c + 0*c - 8 = -4*v, -s = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -6*y**3 - 2*y**2 + 3*y + 3. Calculate l(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.006 and -280.95103851?\nAnswer: 280.94503851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 2 = -4*q, -3*q = -2*v + 6 - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1\/4*6*314\/3?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -89 - 1294*x**2 - 251*x**3 - 11*x + 89 + 1292*x**2 as g*x**3 + n*x**2 + a + t*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 611 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/39? (a) -1\/203 (b) -0.2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -905, 3525, 10907, 21241, 34527, 50765, 69955?\nAnswer: 92097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide (2 + (-4)\/((-48)\/4917))\/(78\/832)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -3*c - 3. Let a(r) = 50 + 5*r - 2*r - 46. Let p(n) = -4*a(n) - 5*m(n). What is p(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -338 and -0.07734.\nAnswer: -338.07734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11180 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1683842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of 689 and -1.1.\nAnswer: -757.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 349971334.4 to the nearest one million.\nAnswer: 350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 189100 and 244.\nAnswer: 189100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 146055479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/944 and -107\/26.\nAnswer: 12272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -2 + 31 + 0 - (-8 - -9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -243066923.7 from 10.336.\nAnswer: 243066934.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**4 - 2*l - 1. Let g(v) = v**4 - 3*v - 1. Let j be 15\/(-9) - 2\/6. Let z(t) = j*g(t) + 3*n(t). Differentiate z(h) with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4723 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242))*-1)**2.\nAnswer: 44*sqrt(2) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do -1044495 and -1044289 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1652987 is divided by 33731?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.038 times 1?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -3340\/344139 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 98336503 to the nearest integer?\nAnswer: 9916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 + 26 = 5*a - m, -4*a + 47 = m. Suppose 0*s - 55 = a*s. What are the prime factors of ((-6)\/s)\/((-4)\/(-390))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -18*y**3 - 1096*y**2 + 1094*y + 3. Calculate f(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -0*x. Suppose -2*p + 3 - 17 = x. Let v = -3 - p. Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17291953 to the nearest integer?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -22*q**2 + 133*q + 6. Let c be r(6). Sort 3, 19, c in decreasing order.\nAnswer: 19, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of 25*v**3\/3 - v + 7. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17151 + 9*s**3 - 17151.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 34017 - -6?\nAnswer: 34021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of -1\/12*k**4 - 1\/3*k**3 + 0 + 2*k - 3\/2*k**2. Let b = 2 + -5. What is z(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -62.741637 and 5.\nAnswer: -313.708185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 2490975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 610.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are -142 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 18\/(-36)*2)*-14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 0 - (13 - 7 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes after 8:08 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -539*p**2 - 2*p**3 + 89296 + 39*p**2 - 29154*p + 43083 + 161470 - 27593 = 0.\nAnswer: -129, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 402 and 1.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -683\/5 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -12\/5, 1903, -0.2 in ascending order.\nAnswer: -12\/5, -0.5, -0.2, 1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minutes before 10:11 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*u + 4*u. Let x be u*(0 - (-2)\/4). Let b(p) be the first derivative of -p**2\/2 + p - 52. Let w(n) = n. Determine x*b(i) + 3*w(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Total of 9168487 and 27.6.\nAnswer: 9168514.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1118 + 1747. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + b**2)*(-37 - 35*b**3 + 2*b**2 + 37).\nAnswer: -35*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18101 - 18113. Let u = 16 - 31\/2. What is the fourth biggest value in 1\/4, u, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1893, 3782, 5671, 7560?\n\"Answer: 1889*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -22641 - 11?\nAnswer: -22652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (1105\/(-34))\/(5 - (-40)\/(-7)) and 1 + (-18)\/(-57) + 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13.9 + 14. Let h = 0.6 + 2.4. Put q, h, 4 in decreasing order.\nAnswer: 4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 66 and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/(-4*(-30)\/(-8141240)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404638074 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: Put -7083, -2, 4 in descending order.\nAnswer: 4, -2, -7083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((-2 + sqrt(176) - sqrt(176)) + sqrt(176) + -5 - sqrt(121)\/(-2*-2*sqrt(11)))**2*-2.\nAnswer: -3259\/2 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 473671432*m - 420092706 wrt m?\nAnswer: 473671432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1311160563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - 4.9. Let p = 54517.598 + -54518.49799836. Let c = p - r. What is c rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**3\/7 - 25322670*x**2\/7 + 11450673521778*x - 11450669904254 = 0 for x.\nAnswer: 1, 6330667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 30 = 5*z - 6, z + 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes after 2:51 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 159 = 39. Let d be (-1)\/(1*3\/k). What is the highest common divisor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (31\/(-62))\/((-1)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 3*q = 2*r - 370, q - 370 = -2*r. Suppose -2*l - 2 + r = m, m + 173 = 2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 249331\/235 - 1061. What is the second biggest value in s, -1\/4, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 h, and 1 i when three letters picked without replacement from {m: 3, i: 1, h: 1, q: 1, s: 4, u: 4}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4*2\/(-16)*10. Suppose h = p*h. Solve h = 2*g + 3*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -627\/5 + 245\/2. Let v = -1487677\/216 + 39326\/27. Let k = 5439 + v. Find the common denominator of z and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 4, h: 1, v: 1, r: 2, j: 1}. Give prob of picking 1 h and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 53\/4 of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-8)\/(2\/1) + 37?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v*v**(-3)*v*v*v**(-23))**(-1\/58) assuming v is positive.\nAnswer: v**(21\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 + (-3 - (-2)\/2). Let s = 37 - 32. Sort j, 2, s in decreasing order.\nAnswer: s, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 438*d + 9462 = -60*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 198 + 26 = 4*p, 1256 = 21*p + 5*i. Suppose 4*a + 263 = -3*l + 2088, 1212 = 2*l - 2*a. What is the remainder when l is divided by p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -746 - -717456.9?\nAnswer: 716710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -285 = -3*k - 4*d + 317, -d = -4*k + 809. What is the common denominator of k\/36 - 0\/(-1) and 4\/6 - 602\/(-60)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4982.216 + -5540.49. Let g = -559 - d. What is g rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2127655.\nAnswer: 5, 181, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -4*m. Let k be 264\/20*(9 - 4). Let g(d) = k - 34 - 32 - 2*d**2. Give g(c(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of -w**10\/90720 - w**9\/45360 - w**4\/24 + 2*w**2. Let a(o) be the second derivative of d(o). Determine z so that a(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -5 + ((-4)\/(-1) - 2). Let n = u - -8. Suppose -n*y = 10, y + 2 = -2*p + 18. Solve -3*l = -6*l + 4*q - p, -2*l - 6 = -2*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -4. Let s be (-1 - z) + -1 + 48010. Suppose 2*v - s = -8008. What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t - 34*t**2 - 44*t**2 + 72*t**2)*(-5 + 2 - 4).\nAnswer: 42*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -240, -11, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q**2. Let m(x) be the third derivative of -6*x**2 + 0*x**4 + 0*x - 1\/12*x**5 + 0 + 0*x**3. Determine m(g(y)).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 224 and 66208?\nAnswer: 463456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-4*(sqrt(1331)*2 + 4 + 5)*2.\nAnswer: -1056*sqrt(11) - 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -54 + 53.08. Let q = 0.95 + x. Let t(y) = -5*y**3 + 2*y - 1. Let a be t(1). What is the closest to 1\/2 in q, -2, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2216 - 2215.99998945. Round f to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2. Let p(g) = 7*g + 2 - 3 + 1. Calculate p(m(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 13) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -21 in 5, -5, -3\/4, 6\/11, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*(-15)\/(-24)*(-65)\/((-10725)\/(-198))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 328543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12\/(-45)*(-25)\/10. Suppose 0 = 7*l + 8 - 36. Put -0.5, l, h in decreasing order.\nAnswer: l, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 1 + 1 + -1. Let i(t) = t + 5*t**n + 0*t**2 - t - 2. Let a(q) = -6*q**2 - q + 3. Let r(s) = 4*a(s) + 5*i(s). Determine r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + -18 - (0 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -j**2\/4 + 3673129*j\/2 - 13491876650641\/4 = 0.\nAnswer: 3673129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 120972615.\nAnswer: 3, 5, 8064841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 552 + -547. Suppose -4*q = f*d - 5 - 36, 4*d - 32 = -3*q. Solve 0 = 5*v + 4*l + 3, -l + 3*l = -q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43688481 to the power of 1\/2, to the nearest integer?\nAnswer: 6610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175) + 1 + 3 + 4)**2 - ((sqrt(14)\/sqrt(18))**2 - sqrt(21)\/(sqrt(3)*2)).\nAnswer: 161*sqrt(7)\/2 + 2144\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 6*r, 4*w - 3*r = 9 - 9. Let c(d) be the second derivative of w*d**3 + 0 - d - 8\/5*d**2 - 1\/25*d**5 + 1\/5*d**4. Solve c(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 24296199 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -3*p**2 + 4*p - 2. Let b = 8 + -5. Suppose -3*m = -3, 2*m + 3 = t + b*m. Suppose z = 3*i + t*i - 18, 3*z = i + 2. What is v(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114271 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21992 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (9\/14)\/(2*48\/(-112))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g + 8. Let z be r(3). Let k be (-18)\/14 + (z\/7 - 0). Put 0, -5, 5, k in descending order.\nAnswer: 5, 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1.1665l?\nAnswer: 1166.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 2*k = -6*k + 56, 4*k + 48 = 4*w. Suppose 190 = 15*l - w*l. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*w**4 - 8*w**3 - 925*w + 26236 wrt w?\nAnswer: 8*w**3 - 24*w**2 - 925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -8*d + 9. Let u(n) = -4*n + 5. Determine -3*q(p) + 5*u(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7504 and 2170?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*a - 3*a + a + (3 + 2*a - 3)*(5 - 2 - 1))*(1 + 1 - a + 2*a) as t + q*a**2 + s*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45164.\nAnswer: 2, 7, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -117 - -406. Let x = r - 285. What is the third smallest value in x, 5, -4\/7, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 4456 and 69315.\nAnswer: 73771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 + 5*f**2 - 5*f + 7. Let p = -9 + 4. Let z be p + (-2 - 0) + 1. Let i be d(z). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-8) + (-3)\/(-4). Suppose n = p + 5*n - 14, -4*p - w = -3*n. What is the second derivative of d**5 - p*d + 0*d**5 + 2*d**5 wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 664597946 - m - 664597943 + m - 87*m**3.\nAnswer: -87*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = -3*u - 33. Let c be (-44)\/(-10) + 12\/u. Suppose 4*g + g - 310 = 2*k, c*k + 236 = 4*g. Calculate the greatest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - ((3 - 6) + 6) - (-12 + 15)) + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*p = -17*p - 110 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*q - 3*q**3 + 95*q - 283*q + 92*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2461627, -4923279, -7384931, -9846583?\n\"Answer: -2461652*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1673 not equal to 227643\/136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 2. Let v = -62 + 110. Let o = v + -47.7. What is the smallest value in -1, p, o, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 491759856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 205410136 + 28\nAnswer: 205410164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 56 + 64 + 17*f + 67 - 250 + 64. Let i = 3 - 2. Determine b(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 54 - 52. Let x(k) = -k**3 + 6*k**2 - 4*k - 1. Let t be x(5). Let n = 7 - t. What is the remainder when n is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 792612 and 3456.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 4:45 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0\/14 - (-4)\/2. Solve -3*y = -i*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7895604*c**3 - c**2 + 2*c - 1374336?\nAnswer: 47373624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*y**2 - 139*y**3 + 3225 - 3225 - 11*y**2.\nAnswer: -139*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -11242 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -11*p**3 + 6*p. Suppose 114*v + 6 = 115*v. Let n(y) = 155*y**3 - 85*y. Give v*n(o) + 85*f(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 2*i = -12. Let o(d) = -d + 3*d + 1 + d. Calculate o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2002002210 - 10?\nAnswer: -2002002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1574626561 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -127 by 10402.\nAnswer: -127\/10402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 2*u + v - 12, -5*u + 2*v + 14 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(209)*-3 + 4*(1*sqrt(209) - sqrt(209)))\/(6*sqrt(396)*-1 + sqrt(396)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-1\/15)*c*c**(-6\/7)*(c\/(c*c\/(c\/c**(6\/11)*c))*c)\/c*c*c**18\/c assuming c is positive.\nAnswer: c**(21403\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 413054143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a**2 - 13*a + 102. Give r(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -7736 - -33?\nAnswer: -7703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 8076*i**3 - 8066*i**3 + 15*i + 9 + 3*i**4 - 7 - 4*i as v*i + c*i**3 + r + a*i**2 + j*i**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 2188\nAnswer: -3\/2188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-85 - (-2387)\/28)\/((-18)\/4)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from akjdka?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - -2) + (-36 - -31).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 5043830*f**2. Let y(w) = w. Give i(y(g)).\nAnswer: 5043830*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1002 (base 3) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 570.575 + 1.425. Let m = -572 + a. Let i = 3.04 - 0.04. What is the biggest value in 4\/5, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 631177.\nAnswer: 53, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 + 7*d**2 + 16*d - 8. Let f be u(9). Let o = f - -28. What is the third derivative of -54 + 13*m**6 + 54 + 10*m**o wrt m?\nAnswer: 1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 2*u**2 + 5*u - 2. Let a be t(-4). Find the second derivative of -n**3 - a*n**3 + 7*n**3 + n wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10712899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*a**2 + 21*a**2 + 17*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 140900 and 758300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1952175 and 0.3?\nAnswer: -585652.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -3*b**2 + 8*b - 8. Let u(d) = 2*d**2 - 5*d + 5. Let o(x) = 5*p(x) + 8*u(x). Let i(s) = -s**2 + 5*s**2 - 2*s**2. Calculate i(o(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 837 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -6*l - 2. Let n(f) = 29*f + 10. Let u(v) = -n(v) - 5*y(v). Let p(w) = -w**2 - 15*w. Calculate u(p(i)).\nAnswer: -i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 + 8*d + 12. Let u be f(9). Let x(v) be the third derivative of 1\/240*v**5 + 0*v**3 + u*v**2 + 1\/480*v**6 + 0*v**4 + 0*v + 0. Factor x(y).\nAnswer: y**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -2, 2, -422, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 7 + 25. Let l be ((-13)\/((-585)\/(-54)))\/((-2)\/5). Suppose -6*o + l = -5*o. Solve -o*t = -b*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 - m - 4. Let f be j(0). Let k be (-410483)\/f + (-11)\/(-44). Suppose -5*x = -k - 492379. Round x to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 4272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 9, u: 9}. What is prob of picking 2 u?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*o**2 + o**3 + 1306*o - 1306*o to d + h*o**2 + k*o**3 + i*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of 2600 and -7665.46.\nAnswer: -5065.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 2*t - 445, -i + 14*t = 18*t - 67. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6437 - -18642. Let q = -170789\/14 + d. Find the common denominator of 25\/42 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h - 139 + 130 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 8 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -600137*u**4 + 2*u**3 + 2068*u**2 + 21*u - 23 wrt u.\nAnswer: -14403288*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + 101698?\nAnswer: 101702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*t - 1 = -2*t - 5*h, 2*h - 1 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 + -6. Suppose -3*g - m = 3*g. Calculate the common denominator of (-3)\/g*(-63)\/(-4) and 3\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*r - 18 = 12*r + 10*r - 2*q, 0 = -11*r - 4*q - 120 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 328\/3*t + 14\/3*t**2 - 370.\nAnswer: 2*(t - 3)*(7*t + 185)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, -34, 13, -8 in descending order.\nAnswer: 13, 4, 3, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, -4066, 62, -4, 3, -5 in descending order.\nAnswer: 62, 3, -4, -5, -18, -4066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 56*c**2*r + 2*c**2 + 2*c*r + 9*c - 2*r**2 wrt r?\nAnswer: 56*c**2 + 2*c - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes after 12:32 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 294 + 21 = y. Let h be y\/10 + 6\/4. Suppose 2*t + h = 3*t - 3*b, 245 = 5*t + 5*b. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9362.\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*b**3 + 137*b - 137*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -79, -73, -63, -43, -7, 51, 137, 257?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2104*s + 34 = -2102*s - 5*q - 1, 3*s - 2*q = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -14372 + 235?\nAnswer: -14137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 293 divide 59713986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 - 7*w + 5. Let j(x) = 4*x**2 + 2*x - 2. Let a be j(2). Suppose t + 25 = a. Calculate r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(833) + -1)**2.\nAnswer: -70*sqrt(17) + 4170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that b**3 + 123*b**2 - 5481*b + 38637 = 0.\nAnswer: -159, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 411223 (base 5) to base 2.\nAnswer: 11010000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1734848.0468 - 1735126. Let r = f - 0.0468. Let b = -253.2 - r. What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * 746\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 6*i**2 + 6455*i + 19377. Determine r(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 c when four letters picked without replacement from {c: 7, p: 9, k: 1, q: 1}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3075406207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 52234*h**4 - 325887922*h**3 + 508140684484*h**2 + 508505562240*h + 38937600 = 0 for h.\nAnswer: -1, -2\/26117, 3120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 4*a**3 + 6*a**2 - 11*a. Let o(f) = 3*f**3 + 5*f**2 - 11*f. Let x(u) = -2*d(u) + 3*o(u). Calculate the smallest common multiple of x(-5) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -477*l - 2*d - 4 + 12 = -479*l, 0 = l - 5*d + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + g = 50, -2*g + 64 = 4*u - 0*u. Suppose -3*t - 75 - u = -2*k, 5*t + 103 = 2*k. Let b = 12 - -2. What is the remainder when k is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) -15 (c) -7\/288 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(308)\/(sqrt(22)\/sqrt(2)))\/((-2*sqrt(20))\/sqrt(5)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - -5 - -68)\/((-2)\/(-9)). Calculate the remainder when 116 is divided by -3*((-1476)\/v - (-2)\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*o - 22\/9*o**4 + 0 - 4\/3*o**3 + 4\/9*o**5 + 0*o**2.\nAnswer: 2*o**3*(o - 6)*(2*o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 111111012122 + 1?\nAnswer: 111111012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 10*k**2 + 4*k - 2. Let i be j(-2). Suppose 4*v - 23 = -m, -3*m + 6*m - v - i = 0. Let n be ((-16)\/(-56))\/(-2*(-1)\/m). Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 - -21. What is the least common multiple of (2 - 0 - -2) + m and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -881 - -917. Let s be (-11)\/(-10) - g\/60. Which is the closest to s? (a) -2\/11 (b) 0.1 (c) 0.2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 65 + -16. What is the derivative of b*u**4 + 4*u**2 - 4*u**2 - 20*u**4 + 10 wrt u?\nAnswer: 116*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26307 and 999.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -546 or -547?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -929 - -961. Solve -4*v + q = 24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000046397 rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2568830 divided by -2123.\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -4*l - 6. Suppose -f - 7 + 5 = 0. Let r be g(f). Let n(x) = 6*x**r + 5 - 2*x**2 - 3 - 6*x**2. Calculate n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -42*k - 245. Calculate o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14852612.\nAnswer: 2, 3713153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2240, -1368, 306, 2962, 6780, 11940?\n\"Answer: 30*h**3 + 221*h**2 - h - 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-23)\/(299\/143))\/(3\/(-45)*-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 29*g + 7. Let u(k) = -92*k - 19. Determine -8*m(z) - 3*u(z).\nAnswer: 44*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 3. Let n be (3 - (2 + u))\/(-1). Let v(a) = a + 1. Calculate v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 - 0. Suppose -h - 246 = -2*j - k*h, -2*h + 377 = 3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -533240731 plus -1?\nAnswer: -533240732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -162150, -325130, -488110, -651090, -814070, -977050?\n\"Answer: -162980*f + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 + 2325023?\nAnswer: 2325016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.1 - -0.3. Let v = -648\/1645 + -2\/329. What is the smallest value in v, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 18*w. Suppose 0 = -5*h + 8*h + 9. Let f be h*(-4)\/(-12) + 0. Let u(g) = -3*g - 1. Let t(b) = 1. Let k(x) = f*u(x) - t(x). Determine i(k(c)).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*c + 29*c - 33. Do c and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1164, -2323, -3508, -4725, -5980, -7279, -8628?\nAnswer: -10033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1\/5, 160\/7, 0, 3\/11, -3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - b = -4 - 19, 5*z = 4*b + 34. Suppose 2*p - z = 14. Suppose p*q - 140 = 5*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2260939374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -228386958.2 + 0.0516.\nAnswer: -228386958.1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -21 - 1030?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -1653 (b) -3 (c) -5\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -220407443*c**5 - 1358*c - 66510 wrt c?\nAnswer: -4408148860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7129665 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((9\/15)\/(8\/(-10)))\/((-665)\/39900)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 4:19 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 348 = 4*p. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 AM and 3:42 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9997*p**2 - p**3 - 11086*p**2 + 21083*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 3*m. Let i(b) be the first derivative of -64\/3*b**3 + 0*b**2 + 0*b - 103. Give i(o(k)).\nAnswer: -576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 118 and 98010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -262.012 + 262. Let f = 0.0119999 + o. What is f rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 222222130200 - 21?\nAnswer: 222222130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -17*q + 1671. What is y(99)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -695\/7 - -99. Let d = -0.039 - -21.039. Let s = -20 + d. What is the closest to -1 in w, 2, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -93*j**2. Let o(d) = 57390*d. What is o(h(k))?\nAnswer: -5337270*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 4*x - 3*b + 2, 5*b = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-9)\/(-2) + -4)\/2. What is the third smallest value in i, -2\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sheegeseeehsg. Give prob of sequence hgse.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 49\/3, 6\/7, -42, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -711 - -712. Solve a = -2*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 1\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 + (-2 - -4))*5. Let t(f) = -2*f**2 - 5*f + 0 - l + 4*f + 0. Let u(d) = 3*d**2 + d + 6. Calculate -4*t(w) - 3*u(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 10*c - 7*c - 2*q = q, c = -4*q + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 - n**2. Let x(t) = -6*t**3 + 11*t**2 + 3*t - 13. Let u be (-1)\/5 - (-24)\/(-5). Let w(p) = u*v(p) + x(p). What is the tens digit of w(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -4 + 3 + 118*b**2 + 2 - 2*b. Suppose -66 = -61*i - 5. What is the remainder when u(i) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 862, 2084, 3306, 4528?\nAnswer: 5750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4986840331.\nAnswer: 11, 53, 8553757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -8*y**2. Let q(i) = 4*i - 2*i**2 - 8*i + 4*i. Determine q(j(p)).\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*u + z + 18, 0*u = u + z + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand d**2 - 4*d**2 + d**2 + (-4*d + 3*d - d)*(-2 - 3*d + 2).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1465 divided by 293.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.659 and -1.02.\nAnswer: -0.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 + -223?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 27 (base 13) to base 6\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 - 4. Let h be (s\/(-6))\/(3\/(-18)). Suppose 7 = 5*j + w, -h*j + j + w = -5. Solve j*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 387 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/5687234657 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4912 and 77310582.\nAnswer: 618484656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 + 28*j**2 - 27*j + 40. Let x be n(27). Solve 5*u = 5*h - 0*u, -3*h - 5*u - x = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzyykfyzcyyzyz. What is prob of sequence yfy?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 4*t**2 + t + 4. Let s be y(-3). Suppose -4*b + 6 = -b. Let i be 3\/6*(b + s). What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*h = 29*h + 3*s + 34, 0 = 3*h - 2*s + 25 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*t**3 - 1458 - 1464 + 2922.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*w**4 + 47 - 47 + (w - w + w**2)*(-2*w**2 + 4*w**2 - 3*w**2).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -26\/307 and -149\/294.\nAnswer: 90258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 28481 or 27922?\nAnswer: 28481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 3, -1\/2, 5\/3, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1906.0873 - 1906. Let w = -0.081 + x. Round w to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 + 0)*((1 + 5 - 4)*(2*d + 0*d - 3*d) + 5*d - 3*d - 4*d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*j + 25*j - 861 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 15*j**2 + 3*j + 2. Determine y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1468783 (base 10) to base 16\nAnswer: -16696f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.9 + -16.9. Let m = 17 + c. Is m greater than 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 3*a - 2 + (1 - 1 - a)*(4 + 0 - 2) + 3*a - 4*a + 0*a + 3 - 3 + 2*a)*(-7 + 3 + 3)*(-6*a - 4*a - 10*a)*(-3 + 3*a - 3*a - a).\nAnswer: -40*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b + -1326265?\nAnswer: -1326257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j**2 - 4*j + 585. Let f(g) = 3*g**2. What is i(f(n))?\nAnswer: -18*n**4 - 12*n**2 + 585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 3 = -0*u. Let q be (22\/4 - 3)\/u. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13660 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-7650)\/(-17) - 7*(6 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**3 - 13*s**2 - 18*s - 7. Is l(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 526 + -523.43. Let t = v + -0.57. What is the second biggest value in 0, t, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 2*c**3 - 13*c**2 + 10*c + 40. Let t(n) = n**3 - 4*n**2. Let v(k) = -j(k) - 3*t(k). Let v(m) = 0. Calculate m.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -16, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -321*t**2 + 65*t**2 + 72*t**2 + 58*t**2 + 67*t**2 + 60*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122736 is divided by 340.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -121331216574.5 minus -8?\nAnswer: -121331216566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 59, 3 in decreasing order.\nAnswer: 59, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -101*a + 105*a - 12, -6*a = 4*r - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u + u + 3*u + 93951871.\nAnswer: u + 93951871","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqqheehhhhqhh. Give prob of sequence hqe.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ffb0 (base 16) to base 9\nAnswer: 108708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 5*h - 20, 2*z = 5*h - 21. Let v be z*(2\/4)\/(6\/(-6)). Is v <= 2\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -5*j + 6. Suppose -i + 5*z - 18 = -0*i, -3*z = -12. Let u be d(i). Let v(b) = -b**2 - 6*b + 1. What is the units digit of v(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 893074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7326, -7367, -7426, -7497, -7574, -7651?\nAnswer: -7722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of -16*s**2 - 11\/12*s**4 + 0*s + 19\/6*s**3 + 0. Differentiate m(k) wrt k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -481.5580538+-46\nAnswer: -527.5580538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 198581746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 187 greater than or equal to 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-4))\/(26\/104) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/7 or -15352?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 92726551 and 3.\nAnswer: 278179653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 5*i - 0*u - 2005, -3*i + 1203 = u. Let l = i - 373. Solve -5*q + q + l = 4*y, 5*y = q + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 81\/13 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 20*y**4 + 208*y**3 + 720*y**2 + 896*y + 256 = 0.\nAnswer: -4, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 2 - 2. Let s(g) = -4*g + 1. Calculate the remainder when s(v) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 295507027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = v. Let l(s) be the third derivative of 0*s - 1\/60*s**5 + 0 - 1\/24*s**4 + 2\/3*s**3 + s**2. What is l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 751 >= -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v + 1. Let k(w) = -5*w - 4. Let g(y) = k(y) - 3*u(y). Let z(t) = 7*t + 6. Let a = 18 - 4. Suppose -3*m + a = -m. What is m*z(p) + 6*g(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 11622*o**3 - 6*o**2 + 10*o + 14. Let v be f(-9). Round v to the nearest 100000.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 3*w - 8. Let c be r(5). Suppose -11 = c*a - 60. Let d(y) = 13*y - a*y - 4*y + y**3 + 0*y**3. Let x(u) = 2*u**3 + 5*u. Determine 15*d(l) - 6*x(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -542*146.\nAnswer: -79132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 760187.\nAnswer: 760187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180000 = -4*j + 13*j. Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*k**3 - 687045*k**2.\nAnswer: -3*k**2*(k + 229015)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 2 + sqrt(567) + -6*(-3*sqrt(567))**2.\nAnswer: -30618 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 153175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3139323 to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.088 - -10.012. Let h = r - 10.119. Let x = -0.181 + h. Sort -2\/7, x, 0.\nAnswer: -2\/7, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30.94 + 0.06. Let w = x - 30.8. Which is the third smallest value? (a) 0.4 (b) -3\/10 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -34, 1, -2, 4 in decreasing order.\nAnswer: 4, 1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4163882725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32083?\nAnswer: 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1397754mg in kilograms?\nAnswer: 0.0000001397754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (1 + 0)\/(5\/25) and (-32)\/(-20)*(-5)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 836*x - 52657. Give g(63).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f + 4*f = 20. Put 4, f, -8 in ascending order.\nAnswer: -8, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -17, 4\/147, 3, -1, 2, 1\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**2\/5 - 6504*f\/5 - 1300.\nAnswer: -4*(f + 1)*(f + 1625)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -46573\/402 - -314\/67. Let t = z - -1040\/9. Calculate the common denominator of t and (30\/(-21))\/((-54)\/28).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 271072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -92 + 93. Solve -3*l - 4*o + k = 0, -l - 2*o = 4*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**3 - 5*h**2 - 11*h - 11. Give o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2827644779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 28759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33 - 29. Suppose -4*x - 4*p - 5 = -1, -p = 3*x + 1. Solve 4*k - a = -x*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 118 = -482. Suppose -d + 186 = 2*z, -19*d + 3*z - 374 = -21*d. Suppose -5*b = o - d. Solve -2*a = -2*s + b, 5*a + 16 = -2*s + a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 224?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t. Let j(k) = -2*k - 1303. Give j(b(m)).\nAnswer: -2*m - 1303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 5*i = -34, 61*n - 59*n - 12*i - 76 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2035 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: Sort -1, 0.1, 5, 0.9.\nAnswer: -1, 0.1, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 15608, 15917, 16756, 18389, 21080, 25093, 30692?\n\"Answer: 44*f**3 + f**2 - 2*f + 15565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(95) + 2*sqrt(95)) - sqrt(95)) + (sqrt(95) - (sqrt(95)*2 - sqrt(95)))*-6 + sqrt(95))\/(-1*(-1*sqrt(20)\/sqrt(4) - sqrt(5))*1).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20056 and 470879782?\nAnswer: 5014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7840 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.97 * -1.95.\nAnswer: 11.6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1365)\/(-975)*(-36)\/14)\/(32\/15 + -2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20890697 and 217923.\nAnswer: 4273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y = -11*j + 15*j - 6, -2*j + 24 = 5*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -2*w**2 - 7*w + 59. Let l be y(-7). Solve -1 = 4*n - k, 3*n + 5*k + l - 38 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**2 + 6*p - 4. Let j be q(-8). Let c = 96 - 93. Let f(y) = 4*y - 1. Let t be f(c). Which is bigger: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -125 + 125 + p. Let v(f) = -36*f**2 - 16*f + 16. Let j = 54 + -57. Let k(x) = 7*x**2 + 3*x - 3. Let s(c) = j*v(c) - 16*k(c). Calculate r(s(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from dnzzzzlqqnqlznqzq?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.007 + 1.993. Let g = -0.06 - 0.94. What is the closest to -1 in -1\/3, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -879 - 3149 = 67952*u - 67899*u for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -94 - -94. Suppose 8 = 4*d + 3*o, -d - 4*d + 4*o + 10 = u. Solve -d*r + 4 = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -165, -160, -155, -150, -145?\n\"Answer: 5*h - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 14071 or 2349684\/167?\nAnswer: 14071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2.1, -0.09, -0.2, -3\/7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 36736 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -24, -15, 0.5, 0, -28, 2\/455 in decreasing order.\nAnswer: 0.5, 2\/455, 0, -15, -24, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-420)\/40)\/(15\/(-8)). Let l be 6*(328\/(-120) + 3). Suppose -16\/5*s**3 - a*s**2 - l*s + 4\/5 = 0. What is s?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1397489 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -66787000 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of -5*g**6\/6 + 87*g**5 - 12615*g**4\/4 + 121945*g**3\/3 - 79. Factor u(r).\nAnswer: -5*r**2*(r - 29)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -3*h**2 - 7*h - 3. Let w(b) = -3*b**2 - 6*b - 3. Let j(s) = -3*p(s) + 2*w(s). Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -148 + 407. What is the highest common factor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1\/11, 1, -3, -1\/6 in decreasing order.\nAnswer: 4, 1, -1\/11, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nwwwisbnnnani. What is prob of sequence ain?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 - -4. What is the least common multiple of v and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -5, -63.\nAnswer: -63, -21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 95651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2000 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 2*y + 7. Let x(t) = 10*t + 36. Let f be -132*(-6 + 2)\/8. Let n be (-4)\/8*f\/(-3). Let s(p) = n*q(p) - 2*x(p). Give s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.126 + -9.058. Let k = 0.068 - h. Which is the second biggest value? (a) k (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2619098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 134\/97 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -178? (a) 1 (b) -243 (c) -1\/5 (d) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 - 150*t**2 + 4025*t + 2. Calculate g(115).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 3, n: 5, x: 1, v: 4}. Give prob of picking 1 v and 3 f.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.15 - 4.15. Let q = 0.3 + -0.1. What is the closest to 1 in q, y, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -4*q + 5, 5*q - 2*p - 2*p = 45. Suppose 0 = 2*l + 2*l - 12. Calculate the lowest common multiple of (-1 - -1*q) + -2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 78956.58 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 - 16*s + 12. Let x be y(-15). Solve -11*l = -2*l - x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -19 - -14. Let p(m) = m**3 - 2*m**2 + 2*m + 1. Let j be p(2). Sort x, j, -2 in decreasing order.\nAnswer: j, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(1216) + 3 + -4)**2 + (sqrt(133) + 1*sqrt(133)*-6)\/(sqrt(28)\/sqrt(4)*4).\nAnswer: -7302 + 379*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, n: 3, h: 1, v: 2}. Give prob of sequence vnz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 358286.5l to millilitres.\nAnswer: 358286500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, 2\/9, 7\/12, -4.143, -4 in increasing order.\nAnswer: -4.143, -4, 2\/9, 7\/12, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/98434 and 28\/63279.\nAnswer: 885906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 2*w = -5289. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**3\/u**(1\/11))\/(u**4\/(u\/(u\/u**(-1\/5)*u*u)))*(u**(1\/2)*u**(-8))**(-23) assuming u is positive.\nAnswer: u**(18613\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 113158, 226184, 339210, 452236, 565262?\nAnswer: 678288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*l - l**2 + 33 - 33 + 9*l**2.\nAnswer: 8*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 532 is divided by 319.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -215071 (base 12) in base 15?\nAnswer: -a62ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 239479?\nAnswer: 17, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 - -8) + (0 - 1). Suppose 0 = -2*l - y + 89, 0 = 2*l + 3*l + x*y - 225. What is the highest common factor of 66 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -383787\/25 + 15354. What is the common denominator of d and ((-813)\/(-180) - -2) + (287\/28)\/(-41)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 247182.9km in centimeters?\nAnswer: 24718290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2 + 3*b + 1. Let z(d) = -188*d**2 + 44*d - 8. Let l(g) = -8*u(g) - z(g). What is the second derivative of l(a) wrt a?\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-11)\/11*(-3 + -1). Solve -v*w - 3 = -23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*d + 140*q - 136*q - 36, 0 = 3*d - 3*q - 36 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/2))**46*(b**1)**47 assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 839555111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1364 - 1350. Calculate the smallest common multiple of 2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-97)\/(-1746)*(-18)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (13 + 3)*(-3 - 0)*(-18 + 17). Solve -s*o + 46*o = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -833807*h + 47. Let f be c(-2). Suppose 2*y - 30732339 = f. What is y rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 15\/(-10)*8\/(-6). Let d(h) = 4*h + 2*h + 5 + 2*h**2 + h**u. Does 14 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-4 - -12 - 10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0.3, 2\/153 in descending order.\nAnswer: 3, 0.3, 2\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 6*y**2 + 4*y + 10. Let a(d) = 4*d**2 + 3*d + 7. Suppose -2*m = 5*p - 19, 4*p + 2 - 13 = -3*m. Give p*k(n) - 7*a(n).\nAnswer: 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -5*x + 169. What is the smallest common multiple of h(33) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -136, -269, -402, -535, -668, -801?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13958 and 20.\nAnswer: 139580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 3*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -29, 1, 3\/7, 3 in increasing order.\nAnswer: -29, 3\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 285 divide 59939977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 60766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-10)*b\/(b*b**(4\/9))*b*b\/b**(-5)*b*b**11 assuming b is positive.\nAnswer: b**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20.871 + -0.129. Let g = y + 21. Which is greater: 76 or g?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 925.5162ml in litres?\nAnswer: 0.9255162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1637662543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -22424 (b) -1\/4 (c) 0.4 (d) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 13.94 to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1.465 times 45.5978?\nAnswer: -66.800777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(190)\/(sqrt(10)*-1))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put together -536755 and -26.1453.\nAnswer: -536781.1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 758*f + 343*f = 599*f - 821*f + 5292 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -15142620 - 116.\nAnswer: -15142736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 64 = -13*j, 562*j + o = 563*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3018 or -205155\/68?\nAnswer: -205155\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (10080\/(-384))\/((-3)\/(-8)) - (-4 + 3) - -4\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*((sqrt(1584) - (sqrt(1584)*1 - sqrt(1584)) - sqrt(1584)) + sqrt(1584)) + sqrt(1584) - (-1 + (sqrt(1584) - (sqrt(1584) + 2))))*2)**2 + -1.\nAnswer: 1440*sqrt(11) + 158435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 41777182 and 5992.\nAnswer: 41783174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3, j: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 26358 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 247 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -5. Suppose 5*w - 1002 = h*w. Let r = w - 205. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -523?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -3 + 2 + 2 - 3*z**2 + z**3 - 2*z**2 - 3*z. List the prime factors of i(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 172.6537 years?\nAnswer: 0.1726537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3951 = -6*u - 5097. Let a = u - -5619. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 654*i - 195*i + 2434 = -331*i + 854 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2\/7 + 198024*f\/7 + 4901688072\/7.\nAnswer: 2*(f + 49506)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1011010201 (base 3) to base 8\nAnswer: 54253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 48114 - 1.2?\nAnswer: 48112.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2238713591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 9 = -0*q. Let c(z) = -z - 2. Let f(w) = -w - 4. Let g(l) = 5*c(l) - 3*f(l). List the prime factors of g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2111421.6 nanoseconds to hours.\nAnswer: 0.000000586506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/35897 + 933532\/3769185. Find the common denominator of d and -71\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times 147848\nAnswer: 295696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 - a + 5. Let n be u(-2). Suppose -2*x - 8 = 0, 2*v + x = n*x + 2362. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 2*t - 13, 4*n = 2*t - 9 - 9. Let g be (-761)\/n + (11\/55)\/(-1). What is the greatest common factor of g and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/2 and 87\/716.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1518, 4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.02 + -8527690036.\nAnswer: -8527690035.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7\/8585751 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2 + 3 - 2*q**2 - 5*q + q**2. Let s be m(-6). Is 1 - s\/((-15)\/(-18)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/8 and 21\/3793.\nAnswer: 30344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 133864229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 585687 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1*(0 + (-7)\/(-42))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-6 - 0) + (14 - 5) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 830097 smaller than 830096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 0*g - g)*(77*g**2 + 1 - 53*g**2 - 1).\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*w - 2*v + 342 = 5*w, 4*v = 4. Let p(i) = -5*i**3 + 2*i**2 - 2*i + 4. Let h be p(2). Let g = h - w. Calculate the highest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -39 or -267\/7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1635965533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 435089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -18 - -15. Calculate the least common multiple of 10 and 0\/(v - -6) - -6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 548 divided by -2\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*o - o + 4*o)*(-59*o + 586 + 575 - 1163).\nAnswer: 177*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -3*t + 3, -2*t = -b - 7*t - 19. Let q = 4 + b. Let f(r) = -r**2 + r + 2. List the prime factors of f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (v - v + v)*(2 + 1 - 2) - 5991*v + 12006*v - 5897*v in the form u + w*v and give w.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 94*j**2\/3 + 23016*j - 1637830\/3.\nAnswer: 2*(j - 23)*(47*j + 35605)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q - 8. Let o(v) = -5*v + 50. Let k(d) = -25*n(d) - 4*o(d). Let x(z) = -7*z. What is k(x(r))?\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -3*((-56)\/12)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*m - 14 = 8*m + v, -12 = -2*m + 2*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3485567925 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, v: 1, s: 1, w: 1, n: 1, u: 2}. Give prob of picking 1 u and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -13*n + 4. Let f(c) = 26*c - 8. Determine -4*f(r) - 7*h(r).\nAnswer: -13*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*d - 9*d = -210. Let l be 52\/d + (-40)\/(-30). Suppose 0*j - 2*j = 8. Which is the closest to 0.3? (a) l (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 2*h + 6 = 0. Suppose 7*p - 2*p - 19 = -n, p - h = 2*n. Suppose 2*l + 2 = -p*q, 0 = -0*q - q - 3. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1148, -1712, -2276, -2840, -3404?\n\"Answer: -564*d - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 334053055 divided by 19127.\nAnswer: 17465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of c**2 + 0 - 1\/6*c**3 + c. Find the first derivative of g(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 105\/189 - (-2)\/(-9). Let q(v) be the first derivative of -1\/2*v**2 + 1 + w*v**3 + 0*v. Solve q(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z + 2. Let u be t(-3). Suppose -5*l - 4*v - 13 = 0, -3*l - u*v = -2*l - 10. Suppose -4*q = 12*s - 16*s, 24 = -2*q - 4*s. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -2*f**2 - 2*f - 1. Let n(b) = -b - 1. Let q be n(-8). Let p = q + -9. Calculate d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2*(sqrt(132)*1*-5 + sqrt(132)*1*-6 + sqrt(132)))\/(((sqrt(96)*-2 - sqrt(96))\/sqrt(8) - sqrt(12)) + (sqrt(588)*-1 - sqrt(588))).\nAnswer: 10*sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -3659*n**3 - 2*n**2 + 17*n + 19. Is 58 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2787104.7us to hours.\nAnswer: 0.00077419575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k - 15 = -4*f, -1123*f = -1125*f + 5*k - 3 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 441869363?\nAnswer: 13, 33989951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 + 7*f**2 - 6*f - 7. Let n be k(-6). Suppose 6*c = -5*o + 2*c + n, -2*o + 38 = 4*c. List the prime factors of (-1 - -2)*3 + o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + -42 + (9 - -15) + -65?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2 + 10*o - 30. What is j(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -16 divided by -1602047\nAnswer: 16\/1602047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -22\/273 and -79\/294.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 20003 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-368)\/(-1288))\/((-32)\/(-42))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4140 and 966.\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0*3\/(-6) - -10. Solve 4*s + 11 = 5*y, y = 3*y + 4*s - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 95 - 37 = 0. Let i = 62 + z. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 22? (a) -27\/10 (b) -6 (c) -2 (d) 2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -3265732 (base 11) to base 12.\nAnswer: -1b05288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x + 0*x - 3*x)*(98*x**2 - 183*x**2 + 198*x**2) - x**3 - x**3 + 7*x**3 - x**3 + 2*x**2 - 2*x**2.\nAnswer: -109*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q**3 + q**3 - 3*q**3)*(-2 + 0 + 0) - 2*q + 70*q**2 - 70*q**2 - 3*q**3.\nAnswer: q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*u + 6. Suppose 5*m + 26 = 3*y, 4*m + 20 = y + y. Let j be m\/14 + (-444)\/(-84). Solve -j*q = u*t + t - 40, 4*q = -3*t + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j - 9. Let b be v(6). Let o = 8 - b. Suppose -2*p = -o*y - 32, -4*y - 16 = -0*y. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s = 2*v - 1, v - 4*v - 41 = 4*s for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 6*h**2 - 2*h + 7. Let r be x(5). Let g = r - 79. Suppose 2*n + 2*i = 402, g + 117 = n + 5*i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 28.689 millilitres?\nAnswer: 0.028689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = -n - 9*k, -96*n + 3*k - 7*k = -94*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 214615 (base 8) to base 3\nAnswer: 10122212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 + 12 - 3*r - 60*r**3 + 5*r + 24*r**3 + 35*r**3 + r. Calculate p(-5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -69*x + 153. Calculate the smallest common multiple of k(0) and 51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -2*g + 8, -187*g = -3*y - 192*g + 20. Solve y = 3*b + 4*z - 36, -2*b + 73 = 5*z + 35 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.35 - 1.45. Which is the nearest to f? (a) -0.08 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -531 - -667. Calculate the remainder when j is divided by 62.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 84 = 4*c. Let j be -2 + c\/((-6)\/(-2)). Suppose -4*t + 3 = l - j, 0 = -l - 3*t + 9. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c**3 + 31*c**2 + 4*c - 15. Let z = -386 - -394. What are the prime factors of a(z)?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.3 (b) -5 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**0\/p)**17\/(((p\/(p\/((p\/((p**(-5)*p)\/p))\/p)))\/p)\/(p**0\/p))*(p\/(p**(-2\/13)*p)*p**4)\/(p**(2\/5)*p**(-3\/2)) assuming p is positive.\nAnswer: p**(-2177\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*w**2 + 3*w**2 - 7*w**2 + (0*w**2 - 2*w**2 + w**2)*(1 + 2 - 5 + (-1 - 2 + 5)*(1476 + 146 - 105)).\nAnswer: -3034*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 - 8*b**2 - 10*b - 50. Suppose -26*r + 20 = -28*r. List the prime factors of i(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m + 2. Let f be p(0). Suppose -14*a + 888 = -8*a. Suppose -f*q = -0*q - a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000259348 to five dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1917 - -1922.595. Let r = 1.105 - g. Let a = r + 4.4899769. Round a to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/3 or -7411?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 262 divide 782093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.263 and 2?\nAnswer: 2.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 999 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 40171682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 748 + 202 = 0. Suppose -h = d + 240. What is the tens digit of d\/(-8) - (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the second derivative of -b**4\/18 + b**2\/3 - b. Factor d(r).\nAnswer: -2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 - -42. Let u be (-2)\/(-3)*12*4\/o. Let m = -2.04 - -0.04. Which is the nearest to u? (a) -1 (b) m (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5369 and 423384?\nAnswer: 2963688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1241366747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = -33898*w + 33893*w, 3*g = -3*w - 18 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -2*m + 3*x + 3*x, 0 = 8*x - 3*x. Let v(n) be the second derivative of -1\/90*n**5 + m*n**2 + 3*n + 2\/27*n**3 - 1\/54*n**4 + 0. Factor v(l).\nAnswer: -2*l*(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-8))\/((-3 - 25\/(-10))*23014\/4976)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -15232852 by 56839.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 0.07 (b) -1 (c) -0.5 (d) 4\/31 (e) -5.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -526300 divided by 105260\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 97767 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -3383802 divided by 669?\nAnswer: -5058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 302\/20 + 2\/4. Let s = -16 + l. Which is bigger: -24 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2 - 13*d + 4. Let x be -2*(0 - (-26)\/(-4)). Let u be a(x). Solve -2*p = -0*p + 2*j + 6, -u*p - 12 = -j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*z - 108 = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**3 + 2*o**3 - 3*o**3)*(-o + 6*o + 3*o) + (0*o**3 - 3*o**3 + 4*o**3)*(4 - 2*o - 4) - 6*o**4 + 3*o**4 + o**4 + o**4 - o**4 + o**4.\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 158 and 1055242658?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -37*i**2 + 1. Let y be m(-1). What is the common denominator of 2 - 2 - (-145)\/(-12) and (-146)\/3*3\/y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 0*p = -36. Let r(d) = d**3 - 13*d**2 + 13*d - 7. What is the remainder when r(p) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 4*k = 8 - 28, -45 = -3*p - k. Let h = -1\/578 - -2321\/5202. What is the common denominator of h and (-4 - 94\/(-24))\/(p\/(-306))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 11*i**3 - 3*i**2 + 3*i - 1. Let p be c(1). Let w be 8\/(-10)*-5 + -2. Solve w*g = p, -2*s = -g - 0*g + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2*k - 16. Let z be t(-3). Let m be -10*(-1 - 2\/(-4)). Sort z, m, -2 in ascending order.\nAnswer: z, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g - 6*f - 42 = 2*g, -2*f = -2*g + 57 - 37 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101100010100 - -101000101001?\nAnswer: -11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69106624.\nAnswer: 2, 101, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is db8 - 5a3?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 9*s**2 + 53*s - 559. Let j be g(10). Calculate the greatest common divisor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18822 is divided by 236?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2543718*l**6 - l**2 + 14*l + 7183 wrt l?\nAnswer: 305246160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 + 5*r**2 + 7*r + 12. Let i be l(-3). Calculate the greatest common factor of 21 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - -13 - (11 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x + 6 = 2*q, 56*q - 5*x - 7 = 53*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -3 (b) 0.06 (c) 23.8 (d) -2 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 31*a + 27*a + 14 = 0, y - 5*a + 17 = 0. Let x = 0.2 + -0.16. Put -4, y, x in ascending order.\nAnswer: -4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-23175)\/(-49440))\/((-10)\/(-8))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4715.\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, d: 4, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -1294*u + 1291*u - 3*x, 3*x - 29 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 3*c = -6 - 11, -3*a - 2*c + 38 = 0. What is the remainder when 75 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w**8*w*w)*w)\/(w\/w**(4\/15)) assuming w is positive.\nAnswer: w**(-146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*z - 4*z - 2*z + (-3*z + 6 - 6)*(-2 + 4 + 14).\nAnswer: -49*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2. Let i(z) = 2*z**2 - 9*z - 17. Let a(r) = 3*c(r) + i(r). Let x be a(-7). Let q(s) = -s + 3. Give q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 2*a + 4*m, 3*a - 19708*m + 13 = -19710*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.842 - -0.158. Sort 0.4, i, 0.8, -1 in decreasing order.\nAnswer: i, 0.8, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/(-4)*5\/((-15)\/12). Differentiate 53 + 10*b**j + 17*b**2 - 36 wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-252))\/((-1)\/(-12)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c**2 - 18*c + 24 = 0. Calculate c.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes before 7:18 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -2*m**2 - 472*m + 20194. Determine t(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p**2. Let w(o) = o**2 - 6*o + 2. Let z be w(6). Suppose 6*x = -3*x + 18. Let i(y) = -x + 2 + 0 + z*y**2. Calculate d(i(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/(-6)*(-2)\/(-3). Does 2 divide 1\/f*(2 + -34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - ((6 - -3) + -1) - (31 + 2 + 4)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 912, 913, 914, 915, 916, 917?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*v + v + 5*v)*(-2 + 2 + 1) + (4 + 0 - 13)*(2*v + 2*v - 5*v + (-2*v - v + 5*v)*(5 - 4 + 0)).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = 2*f - 36, -243*f + 3*l = -248*f + 28 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 7816.89 millennia to decades.\nAnswer: 781689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 4*v - 2, -2*n + 4*v = v + 2. Suppose 6 = h + y, -h - n*y + 1 = -5. Calculate the remainder when 21 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -139*c + 2238. Let l be k(16). Let x(b) = 76*b**2 - 14*b. Let p(y) = 15*y**2 - 3*y. Calculate l*p(j) - 3*x(j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 874.945 - 873. Let y = 0.055 + j. Let t = 0.1 + -0.2. Which is the closest to -0.1? (a) t (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2175144, -4350284, -6525424, -8700564?\n\"Answer: -2175140*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 23*i**2 - 358*i + 1438. Calculate the remainder when n(4) is divided by 362.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 5*t = 1205, -375 = -o - 3*t + 8*t. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 7 = 3*t - 10, 2 = -2*k. Let d = -4 - -4.6. Let y = 1 - d. What is the closest to -1 in -3\/5, t, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/5, -5, -4, -0.033, 10?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 49, -4, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2376 and 132?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 6 = -1. Suppose 0 = -3*d - q - 7. Let r be 0\/(d*2\/4). Put r, -2, -5 in ascending order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 338 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 2*b + 0 + b + (6 - 4*b - 6)*(8 - 7 + 8).\nAnswer: -37*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*n**3\/4 + 7439645*n**2\/4 - 2767456803895*n\/4 + 30441124652455\/4.\nAnswer: -5*(n - 743959)**2*(n - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {t: 5, l: 5, w: 5, f: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, y: 6, b: 8}. Give prob of picking 3 w.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-32)\/112 + 32\/14. Suppose -v + 251 = 3*d, 2*d - h*v - 171 = v. Calculate the highest common factor of 36 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -337426285 and 3.\nAnswer: -337426282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*-1*sqrt(190)*1)\/(sqrt(160)*4*6))**2.\nAnswer: 19\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -279 = -0*q - 3*q. Let p be q\/(-2)*(-4)\/(-6). Let k = 34 - p. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -37833 by 2.\nAnswer: -37833\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 669508 is divided by 2153.\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 986679\/70 - 14097. Let u = 1\/3715 - 64643\/7430. Calculate the common denominator of k and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/6018 (b) 0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 + 24*g + 25. What is d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.18841s to nanoseconds.\nAnswer: 7188410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 + 9*g + 4. Let w = -18 + 25. What is the remainder when y(w) is divided by ((-3 - -2) + -6)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*m - 7. Let z(y) = 2*y - m*y**2 + 4*y + y**3 + 8 - 3*y**2. What are the prime factors of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 0*t - 4 + 5*t + 4*t + 3. Suppose -3 = 5*w + 2. Determine g(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/39? (a) -3 (b) 0.4 (c) -1 (d) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + 0 + (1 - -14 - (27 - 65))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -81773151 divided by 3.\nAnswer: -27257717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/960 and (-5050)\/(-672) - 1 - (-6 + 5 + 7)?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2\/3 - 2701902*b + 16211416\/3.\nAnswer: -(b - 2)*(b + 8105708)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 40, 841, 18 in descending order.\nAnswer: 841, 40, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is a6 - 63303?\nAnswer: -6322a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1357305688 take away -8?\nAnswer: 8.1357305688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96086*s**3 - 192011*s**3 - 3*s + 96104*s**3 + 4*s**2.\nAnswer: 179*s**3 + 4*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 14 + 10. Let w be (-6)\/(-24) - 22\/i. Let o be (69\/10442)\/(w\/4). Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -1, 0.4, 1023?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -147 + 147 + 262*u**2 + 51*u**3 - 53*u**3 in the form m*u**3 + i*u + x + z*u**2 and give z.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1207745197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 273440516 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 12*u - 15. Suppose 19*o + 30 = 24*o. Let y(k) = -k**2 + 5*k + 9. Let p be y(o). Let a be (3*-5)\/(p - (-36)\/(-8)). What is t(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 - 5*x**2 - 2*x - 2. Let q be h(-5). Let s be -2*(5 - 1) + 7. Sort -3, q, s in decreasing order.\nAnswer: q, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 415*c**2 + 195*c**2 + 34 + 27 + 33 - 88. Let q(o) = o. Calculate d(q(t)).\nAnswer: 610*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 32 (b) 80 (c) -1\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 142*d**3 - d**2*q**3 - 2*d*q**3 - 1510*q**3 + q**2 with respect to d.\nAnswer: 426*d**2 - 2*d*q**3 - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gbxbbgg. Give prob of sequence gbxb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -5919 * 0.13.\nAnswer: -769.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of j**2 + 14. Let a(b) = -108*b**2. Determine a(o(x)).\nAnswer: -432*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/2934 and 7\/1304?\nAnswer: 11736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*w**3 - 4*w**3 + 12*w**2 + 4*w**2 + 29*w**2 + 4*w**3 + 23*w**4 + 1 to c*w**2 + z + g*w + b*w**4 + y*w**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g = 217 + 574. Calculate the remainder when g is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/(-12768)*3508 - (-2)\/7 and -115\/132?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 654 and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -236*b + 504 = -657 - 3901 + 578 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 36*h**2*j**3 - 3*h**2*j**2 - 5*h*j**4 - 46*h*j**2 wrt j.\nAnswer: 216*h**2 - 120*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -169 and -1194955.16?\nAnswer: 1194786.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5.1564366 days in weeks?\nAnswer: 0.7366338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence du when two letters picked without replacement from udun.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 11089421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 477 and 634140.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.4 - -1.1. Let n be (-2)\/3 + (-4)\/(-5). Which is the nearest to 1? (a) h (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and -25134.\nAnswer: -25134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of -481*i**2\/2 + 2448*i + 918. What is the first derivative of d(c) wrt c?\nAnswer: -481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.14? (a) 21\/20 (b) -0.9 (c) 6 (d) 3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, y: 1, w: 1, j: 2, b: 2, s: 1}. What is prob of sequence pwb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(-4\/7)*(m**(-9)\/m*m)\/m)\/((m*m**(1\/19)\/m)\/(m\/(m**(5\/6)\/m))))**(-47) assuming m is positive.\nAnswer: m**(274339\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46515?\nAnswer: 3, 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**2. Let k(b) = 7*b**2. Let j(g) = -k(g) - 6*z(g). Let y(d) be the third derivative of -d**5\/12 + 2*d**2. Give y(j(i)).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 312 - 310. Solve n = 4*y - 3*y - 7, c*y = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 18*j**2\/7 - 153988*j\/7 - 377168.\nAnswer: 2*(j - 8572)*(9*j + 154)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -39 - -39. Let h be (x - 5\/(-4))*64. Suppose -5*t + h = s - 6*s, 5*t + s = 104. Solve t = 4*g - 0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 6*c - 4*c. Suppose -c = -2*u - 2. Calculate the lowest common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -10*y + 2. What is the units digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -169 in 0.2, 6, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*z**4 + 62*z**3 + 88*z**2 + 22*z - 12.\nAnswer: 2*(z + 1)**2*(z + 6)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be 42\/4 - (378\/(-28) + 13). Let l(t) be the third derivative of -t**6\/120 + 11*t**5\/60 + 3*t**4\/8 - 5*t**3\/2 + t**2. List the prime factors of l(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 + -13. Suppose p = 4*j + j - 20. Solve -2*l - 4 = -j*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, v: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -64, -654, -1620, -2962, -4680?\nAnswer: -6774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -8. Suppose -u + 5*k = -152, 4*u = r*k + 27 + 521. What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 + 20*z + 26. Determine k(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -12*w - 3*w**3 + 19*w**2 - 3 + 2*w**3 - 5*w**2 - 5. Let n be v(13). What is the smallest value in 9, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**4\/5 + 128*k**3\/5 + 358*k**2\/5 - 488*k\/5.\nAnswer: 2*k*(k - 1)*(k + 4)*(k + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 534.8 + 113.2. Let s = 647.9998016 - q. What is s rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26 is divided by 63\/(-7)*(-1 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 223 + 8268?\nAnswer: 8502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -6*k**2 + 14*k + 9. Let s be b(3). Put 18, 0.2, s in decreasing order.\nAnswer: 18, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 36 (base 16) to base 4.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 133 at least 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 8:12 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -56 + 6 = 4*p - 2*r + 64, 5*p - 8*r + 115 = 0 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (25 - 7 + 5)*(3*d**2 - d**2 - 3*d**2) to the form k*d**2 + n*d + w and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -165, -31, -5, -24 in descending order.\nAnswer: -2, -5, -24, -31, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*o**2 - 53682*o - 32170*o - 20417*o.\nAnswer: 7*o**2 - 106269*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -38252000 rounded to the nearest 100000?\nAnswer: -38300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15*5\/(-2130)*(-8)\/140*-14.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 689252\nAnswer: -137850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 623\/33927 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -219*h + 16. Let k be o(1). Let u = k + 243. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 3*f + 78 = 0, 4*f - 77 - 20 = -5*k. Suppose -313*d = -140*d - 152*d. Suppose 0*c = 4*c - 16. Solve d = c*p - 12, 6 - k = 3*m - p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 90 and 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/26 and 1\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1224172 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -174230 smaller than -174231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zh when two letters picked without replacement from {u: 5, z: 6, h: 6, s: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-15 - (6 - -1 - (90 + -81))) + -9\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 119 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2. Let h(y) = -5*y + 7. Let m(a) = -2*a + 3. Let v(c) = -3*h(c) + 7*m(c). Determine k(v(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003074447218 to 7 decimal places.\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 6*p + 2*z - 68, 5*z + 40 = 4*p. Solve -4*h = 2*u + 22, -4*u - 5*h - 20 = p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 5*w - 11 = 0, 3*j + 4*w - 6*w = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 18 - -36?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1f27a (base 16) to base 14\nAnswer: 34710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 + 13*q**2 - 18*q + 7. What is h(-14)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, -1, 539, 6, -4 in descending order.\nAnswer: 539, 6, -2\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 - 4*h**2 - 2*h - 2. Let y be n(-4). Suppose 4*i - 7 = l, 4*l - 8 = -2*i + y*i. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -17.0348*-0.5\nAnswer: 8.5174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2028 + 2070. Suppose -2*h - 19 = 2*r - 433, -5*r + 825 = 4*h. Calculate the highest common factor of g and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 440*r**3 - 433*r**3 + 0*r**2 + 0*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(-3\/20)\/(c*(c**(-3)\/c)\/c))**12)**(-38\/7))**(26\/5) assuming c is positive.\nAnswer: c**(-32604\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the first derivative of 0*t**2 - 2\/3*t**3 + t + 3. Differentiate d(z) with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 5*u = -d - 9, 5*u - 4*d = 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 12 = -2*t. Suppose 5*r - 55 = t*w, -86 = -5*r - w - 6. Does 5 divide (-5)\/r + 38\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 130\/78*(-3)\/(-4)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the third derivative of -7*y**4\/24 + 13*y**3\/6 + 119*y**2. Let u(v) = v**2. Determine u(o(w)).\nAnswer: 49*w**2 - 182*w + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -229.3 - -229. Let c = -53 + 118. Put c, y, 3 in increasing order.\nAnswer: y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -264 + 267. Suppose 3*c - 4*u = 19 - 4, -5*c = -3*u - 36. What is the remainder when c is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 5, f: 5, o: 1}. Give prob of picking 2 f, 1 k, and 1 o.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t**2 - 3*t**2 + 3*t**2)*((0 + 0 + t**2)*(0 + 0 + 2) - 24*t**2 - t**2 + 4*t**2).\nAnswer: 57*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24 - 24. Suppose u*h - 3 = -3*h. Let t(w) = -277*w - 3. Let x be t(h). What is x rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-124)\/6 + (11 - 15) and 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 1 - 0. Let i = 17 + -26. Let c(b) = -b - 8. Let t be c(i). Calculate the highest common divisor of t and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6.8 - 7. Are -0.02 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 617 + -617. Is 5\/84 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30831 and 56115?\nAnswer: 13411485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -188923000 to the nearest 1000000.\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 393291 is divided by 112?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((12\/49)\/3)\/((-372)\/434).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10230013 - 2?\nAnswer: 10230011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r**3 + 4*r**2 - 4*r**2)*(318977 + 64264*r + 3488*r - 318977).\nAnswer: -67752*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1 + 36\/(-40) - 1 and -43\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 - 3*x**2 - 4*x - 3. Let u(b) = -2*b**2 - 5*b - 2. Calculate 2*k(h) - 3*u(h).\nAnswer: 2*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 227*m + 39405 - 10122 for m.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -0*n - 2*n. Which is the smallest value? (a) -4\/5 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 5:36 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 196 divide 294774431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 0.5, 0.2, -8, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 27 = -12. Let q = 22 + -27. Let d(w) = 2*w**2 - w - 6. What is the remainder when d(q) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y = 1 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 985209325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be -9*1\/((-2)\/6). Let n = 11 + -6. Solve -o - v = -5*y, 26 = 4*y - n*o + 2*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*y + 223 = 25*y. Let m = 744 - y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2*0.02646\nAnswer: -0.005292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24\/5*u**4 + 45*u**3 + 168\/5*u - 366\/5*u**2 + 0 - 3\/5*u**5 = 0. Calculate u.\nAnswer: -14, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 7*i**3 - 111*i**2 + 304*i - 11. What is f(11)?\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -77279*m**3*n + 44*m**3 + 23*m wrt n.\nAnswer: -77279*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 24.46076 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-14) + 11\/((-616)\/16)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2817708978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 116203.41 months?\nAnswer: 9.6836175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 1:34 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 2*g = -39. Suppose 5*k + 2840 = g*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9 - (6 + -6))*(0 - 1). Suppose -2*j - 63 = -k*j. Let z(q) = -q**3 - 15*q**2 - 2*q - 21. Let r be z(-15). Is j at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.9 + 0.7. Let u = j + 0.2. Let r = -2 - -7\/2. What is the nearest to 1 in 0.1, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -96 + 47 + 49 - 7309*h**2.\nAnswer: -7309*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -45*s**2. Let n(f) = 33*f**2 + 1. What is n(u(o))?\nAnswer: 66825*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*t + 2*t + 0*t)*(-2*t + 2*t - 7*t + 3*t + 2*t - 3*t + 3 - 3 + t + (4 - 2*t - 4)*(-1 + 3 - 4) - t + t - 2*t) to h + r*t + y*t**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -4*k**2 - 5*k - 3. Let l(f) = 2*f**2 + 3*f + 2. Let y(a) = 2*a**3 - 16*a**2 - 6*a + 53. Let t be y(8). Calculate t*l(h) + 3*o(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*m - 7*m - 2808 = -85*m - 91*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5836987?\nAnswer: 13, 448999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 4*u**2 + 6*u - 11. Let d be s(-9). Suppose 0 = -4*h - 0*h + d. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**3 + 16*z**2 - 15*z + 2. Let u be o(15). Find the third derivative of 14*a**6 + 2*a**u + a**2 + 9*a**2 wrt a.\nAnswer: 1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -9. Suppose -2*t - 2 + 8 = v. Solve -f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(34)\/sqrt(2) + sqrt(17))*6 - (sqrt(136)\/sqrt(8) + 5).\nAnswer: -5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oii when three letters picked without replacement from {u: 7, o: 1, i: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**23*q*q**(7\/10)*(q*q**(-3\/8))\/q**19)**33 assuming q is positive.\nAnswer: q**(9669\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 + -9. Let a(s) = 1 + 1 - 2 - d*s. Let g(z) = 9*z**2. Calculate a(g(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.0077 - -213.9923. Let l = 214.263 - d. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 156\/10 - (585\/40 + (-744)\/(-1984))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138 = 3*d + 126. Let s = -1.2 + 0.2. What is the closest to -2\/3 in s, d, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 73*m**2 - m - 1. Suppose 3*p + 3 + 0 = 0. Is 25 a factor of n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(15\/5))\/(1045\/(-95)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 23*r**3 + 401*r**2 + 188*r + 24. Calculate p(-17).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-4 + 0) - 2 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 383 - 381. Determine g so that -6\/5*g**y + 0 + 6\/5*g**3 + 2\/5*g - 2\/5*g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 PM and 11:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -689 - -900. Suppose -y - 185 = -22*x. Calculate the greatest common divisor of 477 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1173 is divided by 701?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -261061*n**2 - 28*n. Let f be z(2). Round f to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 5*y - 1991, -46*y = r - 44*y - 514. What is the highest common factor of 63 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b - 2*b + b)*(4*b - 5*b**2 - 4*b) - b**3 + 3 - 3 + 6*b**3 - 17*b**3 - 11*b**3.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*w + 14*w. Let u be ((-681300000)\/(-54))\/(2\/12 - w). What is u rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53 - (52 + 18) - -59?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63742946.\nAnswer: 2, 41, 777353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -48814, -28, -2 in ascending order.\nAnswer: -48814, -28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 3*y - 3*v - 36, 0 = -4*y - 4*v + 40. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152223 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 1076 and 586.\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 57 + -26. Let w = 52 - o. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes before 5:44 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -16 - -26 - 6 - (-3 + (-2 - -54))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**2\/6 - 67835*n\/3.\nAnswer: 5*n*(n - 27134)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.01, -2, 0.2, -1\/2253?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -238588?\nAnswer: 238588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8bdd842 - -2?\nAnswer: 8bdd844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 94, -1, -1074\/11 in decreasing order.\nAnswer: 94, -1, -1074\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 1 + 28 = 0. Suppose -l + 3 = -8*y. Suppose 3 = 3*n + 3*d, 2*n - y*d = -6*d. Which is bigger: 12 or n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 7126*k + 912147. What is y(-128)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*u**2 - 36*u - 4*u**2 + 12*u - 34*u + 0*u**2 to the form o*u**2 + r*u + x and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 9 = 0, -n - 3*r - 2*r - 21 = 0. Let v = n - -8. Suppose -v*h - 3*h = -90. What is the highest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in r**4\/7 + 309*r**3 - 685443*r**2\/7 + 50152745*r\/7 + 103064550\/7 = 0?\nAnswer: -2451, -2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7373 (b) 4\/5 (c) 0.09 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6189 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 5 - (3 + 4 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the third derivative of -5*h**4\/6 - 4*h**3 + 475*h**2. Let b(a) = a + 1. What is -24*b(m) - l(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wlwlwwjjwj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11*l*t*x - 2*l*t - 4*m*t + 3*m*x + 2*t*x + 4*t with respect to x.\nAnswer: 11*l*t + 3*m + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-97*d - 58*d - 35*d)*(-7 - 3 + 5)*(0 + 2 - 9) as c + l*d and give l.\nAnswer: -6650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -203, -455, -817, -1295, -1895, -2623?\nAnswer: -3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*b - 2*b - 2*b + (2 - 2 - 3*b)*(1 + 1 - 3) + 5*b - 18 + 18 - 3*b + 6*b + 0*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -165\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the first derivative of 22*r**5\/5 - 2*r**3\/3 - 12. What is the third derivative of u(f) wrt f?\nAnswer: 528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 + 18. Let w = 134 + -250. Let j = 91 - w. What is the highest common factor of j and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 251 + 11534?\nAnswer: 12225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -147*u + 72*u + 74*u - 4*u**2 - 1 to y + q*u + w*u**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -172.63 + -13.37. Sort x, 0.3, -0.5 in descending order.\nAnswer: 0.3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 112 - 112 - 10889*o**2.\nAnswer: -10889*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20*i**3 - 21*i**3 - 5*i - 1 + 3*i to the form w*i + n*i**3 + d*i**2 + c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -516, -1027, -1542, -2061?\n\"Answer: -2*d**2 - 505*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, -35, -91, -171?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*h*s**5 + 5*h*s + 11*h - 7969*s**5 - s**3 - 3*s**2 + 3*s - 2 wrt s?\nAnswer: -180*h*s**2 - 478140*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1249662934?\nAnswer: 2, 13, 5077, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 192 + -202. Let b = 2 - 4. What is the remainder when 45 is divided by (-21)\/b + (-15)\/d + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n be (4\/(-3))\/(6\/(-18)). Suppose w + 0 - n = 0. Find the second derivative of -3*h**4 + 54*h - 74*h + 2*h**w wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 2*w - 151. Suppose -t + 105 = -z, -t - 2*z - z = -w. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w + 0*w + 1 - 3)*(0*w + 4*w - 2*w).\nAnswer: -4*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 37233127 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: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -338 in -1\/8, -3, 2182\/5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, y: 3, p: 6, n: 2, c: 2}. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/30)\/(9\/(243\/2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -f - 2*c, -4*c + 1 + 21 = -f. Let p be ((-28)\/f)\/(14\/70). Suppose -p + 137 = 3*w. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 31265 - -925?\nAnswer: 32190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3)\/z*z**(-3)*z**0\/z*z**(-1\/5)\/z)**(1\/34) assuming z is positive.\nAnswer: z**(-23\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 553527 + -172?\nAnswer: 553375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7)\/(-3)*9*-4. What are the prime factors of 2\/(-7) - 5316\/w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 21 - (-67 + 12 - (132 + -251))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 9\/12 - 0\/(-3). Let y = 4.282 - 4.3. Let h = 0.118 + y. What is the nearest to -1 in h, b, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f = -29 - -29. Let z be 39 + 4*(f + 1). Suppose 40*b - z*b = -9. Solve -b*x + 4*x = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -371*c = -45241 - 21. Let k(g) = 121*g**2 + g. Let d be k(-1). Are c and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -50 + 120. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 444\/(-594) + (-3)\/(-9). Let p = c - -7\/11. Does p = 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -97\/1580320 and 93\/748?\nAnswer: 17383520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 2*s. Suppose -3*f = -69 - 18. Suppose -4*m + 5*m - 2*p = 7, 0 = 3*m - 2*p - f. Let n(o) = -3*o + 0*o + m*o. Give y(n(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2057.2 + 2057. Is -34 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1143850189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -2*i - 3. Let j(w) = w**2 + 13*w - 56. Let l be j(-17). Let c(m) = -m**3 + 11*m**2 + 11*m + 10. Let f be c(l). Determine x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 61*f**3*q*z - 9409652*f**3*z - 2*f**2*q - 9081*f**2 - 13*f*q + 37*f*z wrt f.\nAnswer: 366*q*z - 56457912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 7*l**2 + 3*l - 3. Let j(a) = -a + 1. Let g be 4\/(-6) - (-8)\/(-24). Let r(h) = g*w(h) - 3*j(h). Let n(i) = -3 - 2*i + 3. Calculate n(r(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 181118598 is divided by 520.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*x - x - 96. Let n(a) = 3*a - 40. Let l(c) = -c**2 + 12. What is the smallest common multiple of l(0) and n(x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9460 and 660?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 287108, 287693, 288670, 290039, 291800, 293953?\n\"Answer: 196*q**2 - 3*q + 286915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4655886\/549 - 2\/(-6) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -50, -57, -68, -83, -102, -125, -152?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1, -15, -49, -107, -195, -319?\n\"Answer: -j**3 - 3*j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 34 + -22. Let j = 9.84 - 21.91. Let f = j + x. What is f rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 2\/3 (b) -5 (c) -128 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 954769695.\nAnswer: 3, 5, 11, 109, 53087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*5*sqrt(72)\/sqrt(2))\/((sqrt(36) + (sqrt(108)*2 + sqrt(108) + sqrt(108))\/sqrt(3))\/sqrt(3)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 3*u**3 - u**2 - 2*u. Let t be j(-1). Let i be (26 - -1)*(-6)\/(-5 - t). Suppose -2*z + i = 4*g - 14, 5*z + 5*g - 180 = 0. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 781, 786, 801, 832, 885, 966?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 422 (base 10) in base 2?\nAnswer: 110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7566 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 133*g**2 + 22*g - 23. Let i be u(1). Find the common denominator of 2\/(-8)*244\/44 and 3 + ((-2793)\/i)\/19.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/3, 2\/353, 8, 0.1, 0.3, -0.5, 1\/4?\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 2318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6168, -12378, -18664, -25026, -31464, -37978, -44568?\n\"Answer: -38*w**2 - 6096*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 56*i**2 + 3*i - 3. Let k(v) = -112*v**2 - 5*v + 5. What is -3*k(g) - 5*t(g)?\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 3 h when four letters picked without replacement from hhhhhhthhhhhhhhzhh.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.06? (a) 5\/29 (b) 3 (c) -3\/8 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1938593, -1938602, -1938623, -1938662, -1938725, -1938818, -1938947?\n\"Answer: -i**3 - 2*i - 1938590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d - 70 = -2*d. Let z = 17 + d. Let k be z\/6 + 3\/(-14). Which is the biggest value? (a) k (b) -3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + 19. Suppose o = -7*q + 359. Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 96426384\/71 or 1358117?\nAnswer: 1358117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -132 - -134. Let t be 16*((-25)\/(-20)*a - 2). Solve -4*u + t = -d, -5*d - u + 4 = u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 1438*o**2 + 3*o + 3. Let z be i(3). Suppose k - 4*c - 5504 = z, 5*c = 2*k - 36922. Suppose k = 9*s + 5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (43 - 17 - 57)*(31 - 50 + 179)*(0*g**2 - g**2 + 0*g**2).\nAnswer: 4960*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 16. Let t = -1.66 + 0.66. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8\/(-6)*-21*3\/6. Suppose -d = -2*d - 2*p - 8, 3*d + h = -4*p. Solve d*q + 3 + 7 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**5\/5 - 3768*l**4\/5 + 15024*l**3\/5 - 15008*l**2\/5.\nAnswer: 4*l**2*(l - 938)*(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4240 - -4266. Calculate the smallest common multiple of 3 - (-4 + 7)*-5 and u.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-104)\/6)\/((224\/(-24))\/14). Solve -21*q - 20 = -o*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18729 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 27 = 2*h, -h - 6 = 2*r - 3*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -3*o - 9, -6*q = -5*o - 4*q - 1. Let s be (0 - -2)*4\/o. Let r(v) = v + 19. Is r(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9500.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 16. Suppose 2 = 3*b - 58. Calculate the least common multiple of p and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -0.1, 0.21, -586, 23?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -0*d - 3*d + 315, -3*n - 525 = -5*d. Suppose -546 = d*j - 107*j. List the prime factors of j.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(363) + -1 + 0 + -3*(sqrt(363) + 0).\nAnswer: -22*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(588) + 1 + sqrt(588)*2 - (sqrt(588) - (sqrt(588) + sqrt(588) + 5*(0 + sqrt(588))))))**2.\nAnswer: -756*sqrt(3) + 47637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 + 26. Suppose 0 = -2*s - i + 7. Let h = 14 - 13.8. Sort s, 0.4, h.\nAnswer: s, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.526384 and -7.\nAnswer: 3.684688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 117, 22, -4, 3 in increasing order.\nAnswer: -4, 3, 22, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*g - 2*d - 47 = 19*g + 101, -d = -2*d + 1 - 3 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -78*s - 71618194 + 71624356 for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1120003 (base 4) to base 6.\nAnswer: 42031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 + 226*b - 7967. Let c be q(31). Solve 36*a - 261 - 63 = c for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + t = 2, -3*t - 4 = 3*m + 8. Which is the nearest to -0.5? (a) 0 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 3*l - 5*y, 0 = -5*l - y - 4*y. Let n be (50\/(-15))\/((-2)\/3). What is the second derivative of n*k**2 - 7*k**2 - 3*k**l - k wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 29 and 2784.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + -2)*(-5)\/(-5). Sort k, -2, 4 in ascending order.\nAnswer: -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 229 + 2*g**2 + 4*g**2 - 229.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be -7 - (-27 + 7 - -10). Solve 5*p - y*v = -14 - 5, 0 = -2*p + 5*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 251387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 29328 and 55.\nAnswer: 1613040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1539960 and 123.\nAnswer: 1539960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3784979 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112 - 168 = -56*h. Suppose -4*d = -3*d - 189. Suppose -d = -h*z - 59. What is the remainder when 75 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 976 and 576145?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, -0.3, -0.25, -2, 28.9.\nAnswer: -2, -0.3, -0.25, 1\/6, 28.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1426db (base 15) in base 12?\nAnswer: -3a9545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -219 less than -216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (2 - 4) + 3 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2196 - -2182.0375. Let d = 14 + h. Round d to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u = 2 + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22, 28, 38, 52?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4827*q + 15089 = -13873 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-774 - 783 - 621 + 502)*(2*r - 2*r + r).\nAnswer: -1676*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -24491, -48995, -73493, -97985, -122471?\n\"Answer: 3*k**2 - 24513*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (1*4 - (-1404)\/(-240))*1 and -37\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/(-1))\/((-10)\/30). Suppose -2*l + 0 = -6. Let m be (l - 2)\/((-2)\/(-8)). Solve 0 = m*n - 5*a + 3, -n + 1 = i*a + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffcccfcffcffffff. What is prob of sequence cff?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86 is divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 56 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 846182 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the third derivative of -13*i**6\/20 - i**3\/3 + 39*i**2 - 2. Differentiate d(t) wrt t.\nAnswer: -234*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**2 + 100*r - 7215. Determine k(-143).\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 9118, 18579, 28052, 37543, 47058, 56603?\n\"Answer: l**3 + 9454*l - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 96185.02 litres to millilitres.\nAnswer: 96185020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(847) + -1)*4 - sqrt(847)*2*4 - ((sqrt(847) - ((sqrt(847) - 1*sqrt(847)) + 5))**2 - 6*(sqrt(847) + 0)**2)).\nAnswer: 66*sqrt(7) + 4207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -4*t**3 - 215*t**2 + 54*t + 24. Let d be c(-54). Let x be (9 + -3)\/(11\/(33\/(-6))). Put 0, d, 4, x in descending order.\nAnswer: d, 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 - ((2 - (-4 + -4)) + -30 + 75)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 168, 318, 468, 618?\n\"Answer: 150*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10944228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08*-324.\nAnswer: -25.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ejseseseeeeesesse. Give prob of picking 2 e.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 6 + (15 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -39.6 + 39.531. Sort 3, -1\/7, z, -0.2.\nAnswer: -0.2, -1\/7, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 76015333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173*d + 4274969 = 5*p - 175*d, -4*p + 3419982 = -5*d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**2*j)\/(j\/(j\/j**(1\/9)*j))*j**(2\/19)*j**2 assuming j is positive.\nAnswer: j**(1196\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 5*a, -4*o + a = -0*a - 599. List the prime factors of o\/4 + -1 - (-2)\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 0, 7779, -3, -5, -1, 3 in descending order.\nAnswer: 7779, 6, 3, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence loia when four letters picked without replacement from {e: 4, o: 3, l: 1, a: 5, i: 1}.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 40 + -3 + -41?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9*24\/(-1296)*-1*4*8.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94*d - 2321 = 93*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -437*w + 385*w + 208. Suppose -3*q + q + 24 = 0. Solve a - 6*a + w*s - 37 = 0, 0 = 4*s - q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 224552635, 449105272, 673657909, 898210546, 1122763183, 1347315820?\nAnswer: 1571868457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -32, 1, -2 in decreasing order.\nAnswer: 1, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 4*n = 4*c - 118, 0 = 3*c - n - 75. Suppose 5*k - 30 = -5*m + 5, -m - 3*k + 9 = 0. Let v = c - m. Solve 5*b = -0*b + v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) 6 (c) -20189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 168*o - 2644 + 2644 + (0 + 0 + o)*(1 + 3 + 3) to n + a*o and give a.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 194, 138, 46, -82, -246?\n\"Answer: -18*w**2 - 2*w + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 26.2518708 + 1.7480832. Let n = c + -28. Round n to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3071 - 152. Calculate the remainder when m is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 5:20 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 156*f - 96*f - 76*f = -32 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 17*l**2 + 12*l. Let b(y) = -9*y**2 - 6*y. Let f(s) = -9*b(s) - 4*t(s). What is the second derivative of f(x) wrt x?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, 38, 35, 12, -37, -118?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (o - 2*o - o)*(0 + o + 0) + 0 + 0 - 2*o**2 - 11*o**2 + 0*o**2 + 3*o + o.\nAnswer: -15*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7657*y**2 - 2002*y**2 + 1141*y**2.\nAnswer: -8518*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the third derivative of -v**5\/100 - 137*v**4\/20 - 273*v**3\/10 - 34*v**2 + 6. Factor q(z).\nAnswer: -3*(z + 1)*(z + 273)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 11290864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3987906968?\nAnswer: 2, 498488371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 124*g**2 + 2*g + 3. Let b be m(3). Suppose -2*u - b = 3*u. Let k = u + 316. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 - v**2. Let h(f) = 4*f**3 + 3*f. Determine -3*a(d) - h(d).\nAnswer: -d**3 + 3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 16) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1488 and 15280.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*u - 69 = -133 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the third derivative of 3*h**6\/40 - h**5\/12 + 5*h**4\/24 - 5*h**3\/6 - 6*h**2. Let p(y) = 13*y**3 - 7*y**2 + 7*y - 7. Determine 5*p(q) - 7*t(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 58248763 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4150 - 179799 = -4464*l + 30912 + 155023 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2974489421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1912109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*f - 13*f = -6. Let t(p) be the first derivative of 0*p**f + 0*p + 0*p**4 + 0*p**3 + 1\/9*p**6 - 2\/15*p**5 - 1. Let t(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-45)\/4)\/((-2)\/(-8)). Let c be 2*(b\/(-10) + -1). Let s(z) = 0*z**2 + z**2 - c*z**2. Let l(j) = -3*j**2. What is l(s(x))?\nAnswer: -108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -4, 0.4, -0.018 in ascending order.\nAnswer: -4, -0.018, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 659144?\nAnswer: 2, 82393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -4613*g**2 - 27679*g - 4. Give k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 226973.\nAnswer: 59, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k**2 + 5452*k - 1895755 - 889*k - 328208 + 603*k = 0.\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-6))\/(27\/30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -440*w + 6259. Suppose -2*u = 3*u - 75. Calculate the remainder when i(14) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 17*k - 12. Let s be n(-16). Solve -2*x = -3*z + s, -3*x + 4*x + 2 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -316*w + 3951 = 73*w - 2662 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/(-5))\/((-1)\/10). Suppose 3*m = 4*z + 11, 0*z + 2*m = 3*z + w. What is the units digit of (-134)\/(-12) - z\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 290.5 - 0.5. Let f = d - 290.00000564. Round f to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -676929 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -1161267786 by 193544631.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 5*c**2 - 695*c - 4. Let d(a) = -23*a**2 + 2780*a + 18. Determine 2*d(n) + 9*r(n).\nAnswer: -n**2 - 695*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 3485157 and 27.\nAnswer: 94099239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 90216719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -8, 2688, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2\/191011 + 148087\/4099478082. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1254 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-28)\/(-6)*138\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3324, 6635, 9944, 13251, 16556, 19859?\nAnswer: 23160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.05784 and -41795.5785.\nAnswer: -41796.63634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**2 + 3*l**2 + l**2 + (-64*l**2 + 125633 - 125633)*(1 - 3 + 5) + (4*l - 3*l + 0*l)*(l - 4*l + 5*l).\nAnswer: -188*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + c + 122, 0*m = -3*m - 5*c - 100. Suppose 5*k - 614 = -899. Let d = m - k. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29917226941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54\/(-6)*(-3)\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (41 - 41 - 3*g - 3*g**2)*(4348*g**2 - 1078 - 4350*g**2 + 73) to the form j*g**4 + k*g**3 + b + d*g**2 + x*g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3*((-18)\/(-6) + -6). Let t(c) = 3*c**2 + 3*c + 17. Let w be t(o). What is the highest common factor of 41 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 2:12 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26.45 + -5978.45. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + 0 + (2 - 1). Let a(d) = 4*d + 2. What are the prime factors of a(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - -12. Let d = x - 8. What is the least common multiple of d and 26\/4 - 3\/(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4191900324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 10513.26 months to centuries.\nAnswer: 8.76105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*a**3 - 2*a + 2*a)*(-618*a + 162*a + 261*a) as t*a**2 + s*a**4 + o + g*a**3 + m*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - ((113 - 113) + (-6 - -4) + -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3241 - 3239. Let x = 2 + 2. What is the least common multiple of k and (-1 - (-2)\/x)*-14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**2 + 2*m. Let b be c(-2). Suppose b = -2*o + k + 38, 2*o - 36 = -3*k - 6. Suppose o - 3 = 5*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.1, -2\/73, -2, -1\/99.\nAnswer: -2, -2\/73, -1\/99, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 67 + -26. Suppose -5*h + o = -14. Suppose -2*s + 6*s = -5*w - 11, 3*s + h = -w. Let n(p) = -4*p - 4. Give n(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (47\/141)\/((-1)\/15). Let j be 1\/(4\/(12\/(-1))). Put -86, v, j in descending order.\nAnswer: j, v, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36796.\nAnswer: 2, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**2 + 436*z. Let a(m) = 28*m - 91. Calculate a(d(r)).\nAnswer: -28*r**2 + 12208*r - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -20.313 (b) -0.2 (c) 207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0.1, -84, 9.9, 21, -0.5 in ascending order.\nAnswer: -84, -0.5, 0.1, 4, 9.9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -7 + (2\/(-10) - (-71982)\/135) is divided by 143.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1*2*9\/(-3). What are the prime factors of (-4)\/k + (-200)\/(-15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of v**6\/3 + 3*v**3\/2 - 468*v**2 + 2*v + 533. Differentiate q(h) wrt h.\nAnswer: 40*h**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of i**3\/6 - 9*i. Let d(a) = -1 + 33*a + a**3 + 0*a**3 - 32*a. Give -d(h) + 2*p(h).\nAnswer: -h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s**(-8)*s)*(s\/s**(3\/2))\/s)\/(s\/(s*s*s**(2\/7))*s**(-3\/11)))**(-9\/2))**(-23\/5) assuming s is positive.\nAnswer: s**(256887\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/72 - (-9)\/(-8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*94109775.\nAnswer: -9410977.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1440\/20*(-1827)\/(-2268)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 - (10 - 53) - (9 + -9 + 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -137*u**4 + 712*u**3 + u**2 + 1993007*u wrt u?\nAnswer: -1644*u**2 + 4272*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -9602\/5, 0.9, 8, -2\/15.\nAnswer: -9602\/5, -2\/15, 0.9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -241040 (base 5) to base 3\nAnswer: -110012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 76 = -s. Let g = -5 - s. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(252) - sqrt(1008).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1166536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 77 + -39. Calculate the highest common divisor of 57 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 80, -0.19784, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-546)\/(-45) - 20\/150. Solve -75*u**3 + 133*u**3 - m - 3*u**4 + 12*u + 9*u**2 - 64*u**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4 - 3 - (0 - 1). What is the closest to -1 in 1\/2, c, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((6\/(-15))\/((-180)\/(-200)))\/(330\/(-297))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 2641 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3370505032.\nAnswer: 2, 439, 557, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 322975387 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.711 - -3905.789. What is i rounded to the nearest ten?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 14288*p - 514357. Determine k(36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7 - 3*(28\/12 + -1). Let v(t) = 25*t**2 + 380*t + 2515. Let m(a) = -8*a**2 - 127*a - 839. Let z(c) = o*v(c) + 10*m(c). Determine i, given that z(i) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1222001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71*x + 372022364 - 372022364.\nAnswer: 71*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(343)*2 + -2 - (-4*sqrt(56)*1)\/sqrt(8))*-6)**2.\nAnswer: -2592*sqrt(7) + 81792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/18 and 19\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -413, -1700, -3817, -6740, -10445, -14908, -20105, -26012?\nAnswer: -32605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*r + u - 51 = 4*r, -4*r = 4*u - 60. Let f = r - 8. Let g be ((-2)\/5)\/(2\/(-10)). Solve q + 3*d = 13, -3*q - 8 = -g*q - f*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 170662\/10 - 309\/1545.\nAnswer: 2, 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 + 5*y**2 - 7*y**2 - 8*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h + h + 5 + 1)*(2*h - 2*h - 2*h)*(h - h + 4*h).\nAnswer: 8*h**3 - 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -2*t**3\/3 + 1672*t**2\/3 = 0.\nAnswer: 0, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/30808 and -91\/8?\nAnswer: 30808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-30)\/(-100) - (4 - (-2057)\/(-110)). What is the highest common divisor of v and 1355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1258 = -0*k + 4*k + 2*n, 3*k - 945 = -n. Let u = 320 - k. Solve 3*m = 4*g + u, -4*g - 4*m + 21 = -3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/66*60\/10. Let z = 7.1 + -3.1. Let x = z - 3.7. Which is bigger: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 24 by -130.\nAnswer: -12\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*y + 14. Calculate the lowest common multiple of y + 12\/(-4) + 2 and (2 - 4)\/((-2)\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 237555 and 17235.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10646170.\nAnswer: 2, 5, 157, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1436 - -1436.1. Which is the second biggest value? (a) 92 (b) 5 (c) -0.4 (d) -1\/2 (e) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 less than -52287499478321?\nAnswer: -52287499478324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1244172, 1244169, 1244166, 1244163?\nAnswer: 1244160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 6, z: 3, g: 2, x: 1}. Give prob of picking 1 o, 2 z, and 1 g.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8507413 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 124266 and 3129?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-4))\/(((-190)\/(-20))\/(-19)) - -28. Sort 4, -2\/11, h, -1, 2.\nAnswer: -1, -2\/11, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00532200387 to five decimal places.\nAnswer: -0.00532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-2)*(0 - 2). Let g(v) = -5*v**2 + 3 + v**2 + 3*v**2 + f*v. What is g(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.019 and 0.27?\nAnswer: -0.00513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2.2725 rounded to two dps?\nAnswer: 2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.75 * -3.71.\nAnswer: 2.7825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -1 - (-19 + 7 + (12 - 12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 6773603699 and -9.681?\nAnswer: 6773603708.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/255072 and -109\/1084056.\nAnswer: 4336224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(99) + (-2*sqrt(99)*-1 - sqrt(99)) + sqrt(99)))\/(sqrt(450)\/sqrt(2) + -1*sqrt(36)) + -2.\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -151 - 167. Let q be 115*(-1130)\/(-200) - 3\/4. Let f = k + q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 160 divide 583358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00890108 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 388*s - 129*s - 243*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 2*o**4\/7 + 3352*o**3 + 140730*o**2\/7 + 211068*o\/7 = 0.\nAnswer: -11726, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 9 + 15*g**3 + 33*g**3 - 43*g**3 - 3*g**3 + 4*g**3 + g**3 - 5*g**3 + 4*g**3 + 2*g**3 + 2*g**3 - 3 + 3 + (1 - 1 + g**2)*(0*g - 3*g + 2*g).\nAnswer: 9*g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -49840 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30682287?\nAnswer: 3, 37, 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 419849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**2 - 5*z - 1. Let s be a(-2). Suppose 0 = s*n + 7 + 3. Let o be 9600006\/(-12) + n\/(-4). What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -29103, -58207, -87311, -116415, -145519, -174623?\n\"Answer: -29104*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 1:45 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*m - m - 5*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 86531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 268835863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 849*l**2 + 381. Let m(v) = -844*v**2 - 377. Let w(h) = 3*g(h) + 4*m(h). What is the derivative of w(q) wrt q?\nAnswer: -1658*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 645 + -613. What is the greatest common factor of t and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 705 - (-1 + -2 + 0). Let u = -483 + w. Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42655300 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 529*z + 137. Is f(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 623, 5031, 16999, 40307, 78735?\n\"Answer: 630*a**3 - 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 116*b + 1 - 2 + 1 - 114*b. Let j(y) be the second derivative of 3*y**4\/4 + y. Determine g(j(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*n*p**3 - 15938*n + 113*p**3 - 7*p**2 wrt p?\nAnswer: 6*n*p**2 + 339*p**2 - 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -23*j**2 - 14*j + 14. Let t(w) = 15*w - 24. Let y be t(2). Let d(h) = 8*h**2 + 5*h - 5. Determine y*n(s) + 17*d(s).\nAnswer: -2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1\/22, 7, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (7\/(-21))\/(3\/(-44883) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 14 and -118?\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*c**2 + 74 - 41 - 33 - 2893*c + 2890*c.\nAnswer: 10*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 71550, 71549, 71556, 71571?\nAnswer: 71594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.7 (c) -1749\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -186.856 - -7.306. What is o rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -3*b + 29. Suppose 2*c + 3*k + 38 - 18 = 0, 3*c = 3*k. Let r(s) = 2*s - 15. Calculate c*u(t) - 7*r(t).\nAnswer: -2*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45792 is divided by 919.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 4*g - 39. What is q(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - (-4 - 0)*1. Let h be 15\/60 + (-3)\/(-4). Let p = h + -4. Put 3, i, p in decreasing order.\nAnswer: i, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let d = 1\/113 + 335\/452. Put d, 6, 1\/9 in decreasing order.\nAnswer: 6, d, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*b**3 + 9*b**3 + 15*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 4 (c) 13 (d) 3 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -9 (b) 3 (c) -0.42 (d) 0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(2\/7))**(-49))**(-2\/105)*(t*t*t**5\/t*t**(-2\/5))\/(t**0)**(-5\/4) assuming t is positive.\nAnswer: t**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 197769, 197771, 197773, 197775, 197777, 197779?\nAnswer: 197781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*z**2 + 61*z**2 - 28*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-11) - -5*(-5)\/275.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 259\/5 - 52. Let a = 8 + -8.04. Let z = a + -0.96. What is the second biggest value in 2, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.9786 times 0.3\nAnswer: -0.29358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - ((0 - 0 - -3) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -25 + (-2 - (-15 + 7)) - 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (7 - 4 - -2)\/1. Let f be -1*(0 - -1) - -8. Solve -4*q = 3*n + 7, 0 = -k*q - 4*n - 1 - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4402?\nAnswer: 2, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -68 + 333. Let d(k) = k**2 - k + 170. Let r be d(0). Let i = n - r. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*y = -5*j + 14*y - 86, -8*y = 2*j - 13*y - 47 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*z - 25*z - 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3446, 3370, 3232, 3020, 2722, 2326, 1820?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/(-12)*(-44 + 0)\/(-2). Is i >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8754 + -8750. Solve -17*m - t*m + 105 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10684918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify w\/(w\/((w*w*w**(3\/2)*w)\/w))*w**(3\/4)\/w*w**(-6)\/w**(2\/9) assuming w is positive.\nAnswer: w**(-107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 779.1757 millennia in centuries?\nAnswer: 7791.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**2 + v + 19. List the prime factors of w(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -94948.564 to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of 123*l**2\/2 + 150*l + 209. Find the first derivative of w(o) wrt o.\nAnswer: 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 9 - (-8 + 7 + -3). Suppose 0 = y*i - 17*i. Let n(s) = -s + 3. Let a be n(i). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8 - 4576?\nAnswer: -4581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -4*x + 3. Let n be (-6)\/(-15) - (-103)\/5. What is the lowest common multiple of x and 6\/n - 61\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (130\/50)\/(1\/5). Suppose -4 = 11*u - k*u. Suppose 4*p - 3*r = 7, -r + 2 = 4*p - 1. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u - 9. Let b(a) = -2*a - 16. Let q(l) = -3*b(l) + 5*j(l). Give q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 171 - 150. Suppose 59 - w = 19*v. What is the highest common factor of v and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 16\/3, 0, -0.12, -0.6, 5, -79?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -21859*n**3 + 13289*n**2 + 2*n?\nAnswer: -131154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 12794878 divided by 412738?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 106436 = -32*t + 76*t. What are the prime factors of t?\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 58036.31l?\nAnswer: 58036310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is s in 3*s**4 - 11364*s**3 + 34074*s**2 - 34068*s + 11355 = 0?\nAnswer: 1, 3785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the third derivative of s**5\/20 + 51*s**2 + 1. Let l(i) = 25*i**2 - 1. Let y(a) = 25*a**2 - 2. Let z(v) = -4*l(v) + 3*y(v). Give r(z(j)).\nAnswer: 1875*j**4 + 300*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*l**3 - 3*l - l**2 + 3*l**2 + 0*l**2 + 6*l**3 to the form p*l**2 + w + h*l**3 + k*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170) - -2*sqrt(170)*-2)\/(2*sqrt(250) + sqrt(250)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 70 and 28768.\nAnswer: 28838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -665056, -665064, -665074, -665086, -665100?\n\"Answer: -h**2 - 5*h - 665050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -42 + 703410?\nAnswer: 703357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 20 + -12. Suppose 4*n - 8 - h = 0. Solve 4*l - 9 = -3*r, -l + 12 = -0*l + n*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48.139 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/9*-2)\/((-40)\/(-24)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1400, -1408, -1416, -1424, -1432, -1440?\n\"Answer: -8*x - 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 681550 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of 191731.2 and 0.5.\nAnswer: 95865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 + 0.4. Sort n, -0.1, -3 in decreasing order.\nAnswer: n, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from zolol.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 14) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3957160 is divided by 1960.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 15*x - 344. Let a(u) = -8*u + 173. Let o(v) = 5*a(v) + 2*q(v). Let k be o(16). Solve -4*d + 5*j - 6 = 0, k - 1 = -3*d - 2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-10 + 7)\/(15\/(-10)) and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 10*a - 14 = 0. Suppose -123 = -a*d - d. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**2 - 6*x + 5. Let h be s(5). Let a = h - -2. Let n(b) = -b + 1. Let y be n(-4). Solve a*m = -4*k - 14, 0*k - 3*m = y*k + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 5*c**2 - 4*c + 2. Let g(z) = 44*z + 46. Let l be g(-1). Give n(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1832 is divided by 466?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -2\/7, 2\/7, -3, 0, -104.\nAnswer: -104, -3, -2, -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38*o + 196*o + 185*o)*(8 - 8 - 12*o**2).\nAnswer: -4116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of -o**3\/6 - 2*o**2 + 3*o. Let z be m(7). Let a = 9 + z. Let t(i) = -6*i - 3. Calculate t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4b + 4b?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b**3\/3 - 23344672*b**2 + 102182594117340*b - 613095284568008\/3 = 0.\nAnswer: 2, 8754251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(324) - 3*(sqrt(324) - 1*sqrt(324)) - sqrt(324))\/(sqrt(12) - sqrt(300)*2 - ((1*sqrt(48))\/sqrt(4) + sqrt(12)))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*d**3 + 6*d**2 - 47*d**2 + 21*d**2 + 20*d**2 - 1 + 29*d**3.\nAnswer: 15*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -13*m - 234. Let n be i(-18). Factor n*h**3 + 0*h + 1\/2*h**4 - 4*h**2 + 8.\nAnswer: (h - 2)**2*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 - 1. Let o(b) = b**3 + 6*b**2 + 3*b + 6. Suppose -2*d = -205 + 199. Suppose 12 = d*z + 2*y, -2*z + 0*z + 24 = -4*y. Calculate z*v(r) + o(r).\nAnswer: r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 3*r - r - 44, -3*r + 4*v = -38. Suppose 2*l - r = -l. Solve 4*h = -2 + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 45 - 24. Calculate the greatest common divisor of 105 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 5*v - 624 = 3*v, 2*v = -y - 146. Let u be (24\/y)\/((-2)\/(-9)). Let w = u + 3\/11. Which is the second smallest value? (a) w (b) -2 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -67*u + 3767. Let o be a(56). Solve -n + y + 6 = 0, n - 5*n + y = -o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 47 = -7. Suppose 0 = 10*v - 5*v - f. Let r be (-260)\/(-25) + v\/(-5). What is the highest common factor of 90 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9.699999864 + -9.7. Round w to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3352031 (base 7) to base 15.\nAnswer: 8343b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 0*b - 5*x = 3085, 5*b - 4*x = 5120. List the prime factors of b.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 - 9. Suppose p = 5*q - 6, -5*p + q - 5*q = 1. What is the second biggest value in -0.5, j, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 36.1 - 5.1. Let d = 0.2773 + 30.3827. Let v = d - h. What is v rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 3*r + 26. Let c(d) = 1. Let a(q) = -6*c(q) + y(q). Let n(f) = -7*f - 40. Let g(k) = 9*a(k) + 4*n(k). What are the prime factors of g(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 355 - 1231 = -90*z + 17*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -219*b - 74*b - 104*b to the form v + z*b and give z.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 69.6 - -412.4. Let s = q + -479. Sort -2\/15, -4, -2\/13, s in decreasing order.\nAnswer: s, -2\/15, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -2*b - 6. What is the least common multiple of 16 and z(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, 22\/7, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 11) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -p + 4*x, 818*p - 820*p - 2*x = 0. Suppose 5*v = -2*b + 11, -2*b - 3*b + 12 = -3*v. What is the highest common divisor of p and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (120 + -12 - 18 - -7 - 5) + -1.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2*t + 136 = 0, -4*t + t + 69 = 3*v. Calculate the remainder when v is divided by (-4 + (14 + -3)\/11)*-6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 + (-4)\/(96\/(-258)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*(g**(-3)*g)\/g*((g\/g**(2\/27))\/g)\/g*(g*((g*(g*g**(-2\/5)*g)\/g)\/g)\/g)**35*(g**(-1))**(-46)*((g\/(g**(-1)\/g))\/g*g*g)**(-2) assuming g is positive.\nAnswer: g**(1510\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of 0 + 1\/75*m**5 + 1\/300*m**6 + 0*m - 2\/15*m**3 - 1\/60*m**4 + 4*m**2. Determine i, given that d(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2100 - -2099. Which is smaller: 2\/2113 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 1512*x - 573048. Give k(379).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-14)*(-568)\/(-2840))\/((-1)\/(-45)).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 14770271 + 3?\nAnswer: 14770274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence prpf when four letters picked without replacement from {h: 7, r: 1, p: 2, f: 4}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 + 7. Suppose 2*w + 2*w - 4*k - 24 = 0, -5*w + 16 = a*k. Suppose -7 = -2*g - 1. Solve 2*i = i + w*o - 20, -4*i - g*o - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1040.87051 rounded to the nearest integer?\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 4) + (7 - 2) + 54 + 10 - -5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/((y**(-20)\/y)\/y))**22 assuming y is positive.\nAnswer: y**506","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.51*6.41.\nAnswer: 16.0891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -131, -23, -3, -2.\nAnswer: -131, -23, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000552 - 1.206?\nAnswer: -1.205448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1209906 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*l + 67 - 56 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4065 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -20881035 divided by 45\nAnswer: -464023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 4*w - 10. Calculate y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/(q*q*q\/(q\/(q*q*q\/(q*q\/(q\/q**(1\/6))))*q)))\/q)\/q*q*q**0\/q)**(-6\/19)\/(q\/((q*q**(-2))\/q)*((q\/((q\/q**(-3))\/q)*q)\/q)\/q)**(10\/7) assuming q is positive.\nAnswer: q**(23\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.6 - 0.7. Suppose -4*h + 2*b + 58 = 4*b, 0 = -h - 5*b + 28. Let d = 36 - h. What is the third biggest value in w, d, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1816285 is divided by 90813.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1.4*85.371\nAnswer: -119.5194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 7342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 + g. Let n be z(-5). Suppose -4*c + 32 = -n. Suppose 0 = 5*b - c - 47. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 - -40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*r - 2*r - 3*r)*(-512 - 517 - 545*r**2 + 1029).\nAnswer: 9810*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.5, 0.2, 4415694 in descending order.\nAnswer: 4415694, 4, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2\/11, -3, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16\/35397875 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 13945883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26185 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 92, 136, 174, 206, 232, 252?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 155 - 112. What is the remainder when 257 is divided by n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 divided by -525.\nAnswer: 8\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b + 19 - 63. Let h be b\/(-10) + 4\/20. What are the prime factors of h\/(-4)*8 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1818, -2833, -3824, -4785, -5710?\n\"Answer: j**3 + 6*j**2 - 1040*j - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Solve -2*a**4\/11 + 108*a**3 - 14050*a**2\/11 + 47808*a\/11 - 48888\/11 = 0.\nAnswer: 2, 3, 7, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.15 (b) 0.4 (c) -1\/3 (d) -2\/5 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 PM and 1:14 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -7 + 11. Let d be 18\/f + 12\/(-3). Is 1\/((20\/3884)\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (-13 - -20 - (2 + 4)) - -34.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -64 + 56.6. Round g to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 AM and 1:46 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(684)*3 + sqrt(684) + -2*(sqrt(684) - (sqrt(684) - (-1 + sqrt(684)))))**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -418*y + 409*y = -288045. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -4 + 0 - 4*i + 1. Let l(j) = 0 + 90*j + 4 + 90*j - 175*j. Suppose 2*x + 4 + 2 = 0. What is x*l(o) - 4*y(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 3*x - 9, 4*j - 2*x = 3*x - 43. Let v be 4\/(j\/9) + 4. Is (-1 - 1 - v) + 10 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 389 + -815. What is the tens digit of l\/(-24) + 2\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**0\/(n*n**(-2\/9)))\/(n**(-1\/2))**13)\/((n\/(n**0\/n))**(-8\/13)\/(n*n**(-2\/5))**(2\/11)) assuming n is positive.\nAnswer: n**(90889\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-53 + 3 - -52)\/(2*(-1)\/11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3120322 (base 4) to base 8\nAnswer: -33072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 5, d: 1, n: 3, y: 1, x: 4}. What is prob of picking 2 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 1099*d - 3 + 8 - 1. Let m be z(4). Round m to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-4))\/(((-426)\/(-20))\/(92\/115))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -5*u**2 + 21 - 7 - 6 + 2*u - 8. Let q(y) = 85*y**2 - 35*y. Determine -35*d(f) - 2*q(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 427726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 40 * -17.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5721*0.0479.\nAnswer: -274.0359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7246 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d - 10. Calculate z(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w**4 - 51*w**2 + 26*w**2 - 11*w - w**3 + 26*w**2 in the form o*w + c*w**4 + p*w**3 + t*w**2 + z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 - d)*((-1 - 2 + 4)*(5 - 3 + 0) - 2 + 1 + 3 + 0 - 2 + 4 + 7 - 6 - 11) in the form c*d + j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 8674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7341 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 2*z**2 - 307*z + 2503. Give y(8).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 206399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 - 2*z + 14)*(95 - 95 - 8*z)*(-12 - 7 + 0).\nAnswer: -304*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3.161? (a) 0.23 (b) -1 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t + 2. Let v be g(0). Let d = -45 + 50. Suppose 24 = 5*w - d*h - 21, 4*h - 6 = -3*w. Solve v*n + 4 + 6 = -x, -n + w = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.04 and -581698.6.\nAnswer: 23267.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 + k**2 + k**2)*(3 + 3*k - 3)*(-3*k**2 + 2*k**2 + 4*k**2).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1029, -3329, -6903, -11745, -17849, -25209, -33819, -43673?\n\"Answer: b**3 - 643*b**2 - 378*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5446?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, x: 1, a: 6}. What is prob of sequence dax?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -88\/3, -2, -2\/7, 65, 0.1 in ascending order.\nAnswer: -88\/3, -2, -2\/7, 0.1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -2*v. Suppose 0 = l - v*l - 9. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12*i*j**2*n**2 - 4360*i*j*n - 2*i*n**2 + 145932*j**2 - 1352*j*n**2 wrt j.\nAnswer: 24*i*n**2 + 291864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-29)\/(-22) + (3 - (-62)\/(-22)). What is the third biggest value in 1.2, 1, u, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nzxv when four letters picked without replacement from zxenxnzzmzzzzv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 19 + -64?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*u**3)*(-612*u**2 - u - 4 + 1216*u**2 - 607*u**2).\nAnswer: -6*u**5 - 2*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 262946 and 251777.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 443266*d**2*m*r**3 - 3*d**2*m*r**2 - 2*d**2*m - 20046*m*r**2 wrt r.\nAnswer: 2659596*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 627.2 + -627.199994842. Round l to seven dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/9 + 16\/6. Let d = g - 4. Let v = 10 + d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 + 10347429589\nAnswer: 10347429589.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**2. Let i be m(3). Suppose 4*v + i + 7 = 0. Suppose 46 = 2*r + 14*b, 2*r + 8 = -3*b + 10. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - b - 20 + 138 = 0, 4*u + 5*b + 463 = 0. Calculate the common denominator of 42\/5 and ((-10)\/u)\/((-28)\/(-399)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 540887.\nAnswer: 61, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 441 + -220322?\nAnswer: -215441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 356*z + 21 - 52 + 502*z + 31 to w*z + x and give w.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6\/7 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 7022 by -2252.\nAnswer: -3511\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 6605616769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ebeeeeeb. Give prob of picking 2 b and 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34252*q**2 + 2278*q**2 + 20616*q**2 - 3733*q**2.\nAnswer: 53413*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11732 divided by -6.\nAnswer: -5866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**2\/6 + 137*l\/2 = 0. What is l?\nAnswer: -411, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1412725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 - 7*o - 12. Let n be z(10). Let t be 9*(-5)\/(-1) - 0. What is the greatest common factor of t and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2292 - -2291.7. What is the nearest to 1\/15 in 4, 3\/5, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 6) + -2 + 4 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 223708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5531\/19 + -291. Let d = 26 + -180\/7. Let c be ((-3)\/(-6))\/(5\/(-2)). Sort j, d, c.\nAnswer: c, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1\/(2\/(-8)))\/1. Suppose 4*f = j - 340, -2*j + 79 + 181 = -3*f. Let c be (60\/14)\/(a\/f). Calculate the highest common factor of 36 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5683303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 21157573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5294581267 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34306*b**2 + 34483*b**2 - 68866*b**2.\nAnswer: -77*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 154667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 143 + 42 = -5*x. Let u = x - -23. Let p = -2 - u. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 45*d*l - 1072741*d*v - d - 46309*l*v wrt l.\nAnswer: 45*d - 46309*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Solve 10*g**3\/7 - 1914*g**2\/7 - 334456*g\/7 + 134088\/7 = 0 for g.\nAnswer: -111, 2\/5, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1830, 2939, 4048, 5157, 6266, 7375?\nAnswer: 8484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*a**2 - 15*a**2 - 17*a**2)*(20 - 7 - 8)*(6*a - a + 3*a)*(3 - 2 - 2) to o*a**2 + v*a + w + j*a**3 and give j.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 1102020 (base 5) to base 8.\nAnswer: 45102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 1075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 115*n**2*u**3*w**3 - 11*n**2*u**3 + 48*n**2*u**2 - 5*n*u**2*w**2 + 7*w**3 wrt u?\nAnswer: 690*n**2*w**3 - 66*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.06, -1\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 481 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*i - 2*i + 816. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -7170963 and -6.\nAnswer: -7170969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 984770.7 years to millennia.\nAnswer: 984.7707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 57\/(-6) - (-1)\/(-2). Let l be 8\/(-20)*(4 + 1). What are the prime factors of 3 + -1 - (m - l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9\/7, -3\/2, 0, -2.\nAnswer: -2, -3\/2, 0, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r**20*r))\/(r\/(r\/(r\/(r**12\/r)))))\/((r**(-11)*r)\/r**14))**(4\/25) assuming r is positive.\nAnswer: r**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -167, -168, -169, -170?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 8:29 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 1 - (-3 - (-7 + -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 379937805 less than -0.5?\nAnswer: -379937805.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.3 + 2.3. Is y > 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {x: 4, b: 10, u: 3, d: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the third derivative of -k**4\/12 + k**3\/3 + k**2. Suppose -304*n + 4272 = 230*n. Calculate u(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-10) - ((-36)\/(-8) - 4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -62d - -98?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6 + 3\/(-2)*2. Suppose -t*w + 10 = -8*w. Let y = 1356\/5 + -272. Which is the second biggest value? (a) 4 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 3*o**2 - 12*o + 18. Let l be d(2). Calculate the greatest common factor of l and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 776*k**2 + k - 2. Let o = -4 + 2. Let y be m(o). Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 46140 divided by 5\nAnswer: 9228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1\/3, -2, -3, 9.5, 20 in descending order.\nAnswer: 20, 9.5, 1\/3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 55, 62, 69?\n\"Answer: 7*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeeefeeeleee. What is prob of sequence lf?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m + 70 + 10. Let q be (41\/(-2))\/(m\/32). Let g(y) = -2*y**2 + 41*y - q*y. Let k(n) = 18*n**2. Give k(g(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -2943511.\nAnswer: 4\/2943511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3417 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -1) + (6 - (1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 10. Suppose -5 = -4*a + y*a - 4*h, -2*h = 0. Let f(l) = l**2 - 44*l + 292. Let t be f(8). Sort -2, a, t, 5 in decreasing order.\nAnswer: 5, t, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -13*a**2 - 4*a - 5. Calculate j(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t + 2640 = 5*l - 3*t, t + 3 = 0. List the prime factors of l.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 353 = -5*s, 2*s - 7*s - 3*c + 339 = 0. Suppose -35*w = -36*w + s. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 3 = -28. Suppose n = 4*n + 3*y - 15, -d*y + 17 = -3*n. Solve b + n = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -548*t - 3*i = -3288, -41114*t + 41117*t + 3*i - 18 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f + 10. Let y be t(7). Let a = -829 + 831. Solve y*k - a*v + 12 = 8*k, 16 = -4*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from nyydsasp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 3*b = 86, 0*t - 3*t = -3*b - 126. Sort 2, 5, t, 0 in descending order.\nAnswer: t, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25927621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4336\/49335 - -2\/2145. Which is the closest to -2\/7? (a) 3\/4 (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.025 + -0.395. Let r = y + -0.63. Let i = 0.02 + -2.02. What is the second smallest value in r, 5\/3, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 158 = -u + 5*l, -17*l = -14*l + 6. Is -4 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) - (-1 + 3*sqrt(832)) - sqrt(832) - -1*sqrt(832)*-5)**2 - (5 + 3*(sqrt(637) - (1*sqrt(637) + -5 - sqrt(637))))**2.\nAnswer: -968*sqrt(13) + 47116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x**(-1\/2)*x*x))**(5\/11)\/(x**(4\/3)*x*x\/(x**(-4\/3)\/x)*x) assuming x is positive.\nAnswer: x**(-455\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = 9*x + 196. Let p = x + 88. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(7\/((-84)\/30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 + 11*q**2 - q + 14. Let z be s(11). Let g = z - -4. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 + (-4 - -10 - 11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/1*2\/3. Suppose 0 = 2*r + l*r. Let p be (-199)\/(-995)*1*20. Put p, -5, r in decreasing order.\nAnswer: p, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 3147599, 3147703, 3147793, 3147863, 3147907, 3147919, 3147893, 3147823?\n\"Answer: -t**3 - t**2 + 114*t + 3147487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r + 33 + 6. Let d(h) = 2*h - 2. Let z be d(r). Suppose 21*w + 108 = z*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 416 and 107.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 668707.4 milligrams to nanograms.\nAnswer: 668707400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (14788\/7394)\/((-2)\/8*5)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 + (5 - 1 - -1) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2113334 - -40?\nAnswer: -2113244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4421 - 4422. What is the nearest to t in 3\/2, 0.03, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22.700288 rounded to two dps?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -132331442*h**2 - 278822703*h wrt h.\nAnswer: -264662884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 13*g + 1. Let z(n) = -38*n - 2. Let p(i) = -17*v(i) - 6*z(i). Let b be p(2). Calculate the greatest common divisor of b and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 5*w - 75 = 0, -107*w = 101*w - 213*w + 65 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -33 + 9. Let l be (-1)\/(-5) - r\/5. Solve 2*q = l*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*d**4 - 18211*d**3 + 18211*d**3 + (-7*d**2 - 8 + 8)*(0 + 0 + d**2) - d**4 - 5*d**4 + 0*d**4.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(1\/7))**(-1)\/((w\/((w\/((w\/w**(9\/8))\/w))\/w))\/w**(-5)) assuming w is positive.\nAnswer: w**(-337\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 7*a**3 + 19*a**2 + 3*a + 5. Let x(b) be the third derivative of b**6\/30 + 3*b**5\/20 + b**4\/12 + b**3\/2 - 2*b**2 - 53*b. Calculate -3*m(f) + 5*x(f).\nAnswer: -f**3 - 12*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -4*p**2 + 140*p - 136 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(10\/3)\/(w\/w**(2\/9)))**(10\/3) assuming w is positive.\nAnswer: w**(230\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 201120 = 4*s, 2*s + 89*y = 83*y + 100570. List the prime factors of s.\nAnswer: 137, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2639*s = 2651*s + 852. What is the fourth biggest value in 2, s, 15, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 5*p**2 - p - 885. Let h(l) = -290*l. Calculate z(h(t)).\nAnswer: 420500*t**2 + 290*t - 885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1593 and 177?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 2 + -1 + (7 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.663*2\nAnswer: -1.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 2 = -0*r. Suppose 3*n - 6 = -n - 2*x, -x = -r. Calculate the remainder when (-4)\/(-26) + 192\/104 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -108, -10, 192, 528, 1028, 1722?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 - 76 - (-20 - -5) - 8.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b = -7*b - 4*r - 5, 3*r = 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 - 12. Find the third derivative of -4*l**3 + 6*l**2 - 2*l**2 - g*l**2 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/55 (b) 12622 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -4*h**2 + 17*h - 6. Let k(o) = 2*o**2 - 8*o + 3. Calculate -6*b(z) - 13*k(z).\nAnswer: -2*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -o**3*w - 3872457*o**3 + 3867*o**2*w - 110*o*w + w wrt w?\nAnswer: -o**3 + 3867*o**2 - 110*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -475 = -5*t - 105. Suppose 2*n = 5*n. Suppose n*f = 2*f - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 901*r = 91*r + 53460 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 163714024?\nAnswer: 2, 313, 65381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - -23) + 4 + (-515 - -500).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 19149.55 decades to months.\nAnswer: 2297946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 4 - 2 = 0, -4*h = 5*s + 27. Let c be (-10)\/((s\/11)\/7). Calculate the greatest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -44514.703 - -1.76449\nAnswer: -44512.93851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 76\/5 of a millennium?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 75 + -70. Suppose 4*g + 5*f - 4188 = 0, 0 = y*g + f - 4880 - 334. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9*i*v**3 + 11*i*v**2 - 4401*i + 2323436*v**3 wrt i.\nAnswer: 9*v**3 + 11*v**2 - 4401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-2))\/((-74)\/148)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 10404*a**3 + 11220*a**2 + 832*a + 16.\nAnswer: 4*(a + 1)*(51*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbddb. What is prob of sequence bb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 0.1899647, 4, -2\/11, 0.5?\nAnswer: 0.1899647","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10.67331 + -14.43857. Let t = 25.1 + i. Round t to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -4*j - 1. Let a(b) = 4*b + 2. Let c(w) = -7*w - 3. Let v(t) = 7*a(t) + 5*c(t). Give -11*h(o) + 6*v(o).\nAnswer: 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2.2 (c) -0.1 (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 + 724*c - 155180. Determine x(173).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 9\/(-6)*4\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 28.4*0.3\nAnswer: 8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (294\/(-19404))\/((-2)\/3044) - 8\/132.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 + -14. Suppose -f + 244 = -i*f. Let c = 73 + f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -15339*p - 690286. Determine k(-45).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*n = -24386 + 4124. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28 - 19. Let g be (-2)\/(-6) + 33\/i. Let a(q) = -2*q**3 - 3*q**2 + 1. Let f(w) = 3*w**3 + 4*w**2 - 2. What is g*a(p) + 3*f(p)?\nAnswer: p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -208*l + 214*l. Let g = 101 + -70. Suppose t = 2*j + g, 3*t = 2*j - 4*j + 109. Calculate the remainder when t is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 215317447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of -t**6\/14 - 216*t**5\/35 - 621*t**4\/4 - 4198*t**3\/7 + 54846*t**2\/7 - 130680*t\/7 + 7470. Solve g(b) = 0 for b.\nAnswer: -33, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.7 + -0.2. Let z = 42.5 - 43. Suppose -4*x = -4*y + 20, 241*y - 243*y - 11 = 5*x. Which is the nearest to y? (a) h (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d + 10 = 3*b, -d + 12*b = 11*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 6) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(875) + (sqrt(875) - (sqrt(875)*-1 + sqrt(875) - sqrt(875))) - sqrt(875))\/((sqrt(112)\/sqrt(4))\/sqrt(4)).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 88068.93m to millimeters.\nAnswer: 88068930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.33, 3, -6946, -15?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the first derivative of -7*v**4\/24 - v**2\/2 - 3. Let a(j) be the second derivative of k(j). Let m(t) = -t - 173 + 348 - 175. Determine a(m(c)).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 813 + -808. Sort 8, x, -13, -3.\nAnswer: -13, -3, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 5:06 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-59*i - 321*i + 0*i - 547*i)*(-i - 2*i**4 + i).\nAnswer: 1854*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.07 - -0.070029. What is v rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 3) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 1. Suppose 4*r - 15 = -r - k, y = r + 3*k - 3. What is the tens digit of 2\/(6\/r) + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -3*y - v + 51, -y + 2*v + 21 = 0. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus -5.188271?\nAnswer: 2.188271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -25422\/25 (c) 1 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*a - a - 8*a + 0*a + 26*a + 789*a**2 - 14*a.\nAnswer: 789*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*4\/(-8) + (3 - 162). Let t = h - -94. Are t and -66 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -413821680 divided by 962376.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from ysskksskskysy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -h**2\/5 - 4*h\/5 - 4\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 155\/335286 and 73\/31932.\nAnswer: 670572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 68*v - 2. Let q be x(1). Calculate the greatest common factor of q and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -2*n - 2*i, -12*i + 17 = -4*n - 9*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.010224 - 0.8.\nAnswer: -0.810224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 77.64345 litres?\nAnswer: 77643.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -0.5 (c) -4449291 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -199, -432, -715, -1072, -1527, -2104, -2827?\n\"Answer: -4*q**3 - q**2 - 202*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 5 = 16. Solve -3*b = -3*g - f + 1, -5*b + g + 18 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 381808268?\nAnswer: 2, 19, 421, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 29*u**6 - 16*u**4 - 7*u**3 + 199478*u**2 wrt u?\nAnswer: 3480*u**3 - 384*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 6:58 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3431842986.\nAnswer: 2, 3, 11, 13, 43, 167, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-1) + 13 + -3. Solve -c - 14 = -3*b, 4*b - 10 - j = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*o + 856 = 814 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 - (-57)\/(-24)*-1. Which is the nearest to 2\/3? (a) v (b) -0.6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17076 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*f = 127*f - 46*f + 760. What is the second smallest value in -0.46, -1\/8, f?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 353 divided by 9\nAnswer: 353\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 80 = w. Suppose 2*v = -3*v + 150. Calculate the highest common factor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1686980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand i + 18*i**3 - i + (3 - 5 + 3)*(i**3 - 3*i**3 + 7*i**3) + 3*i**3 + 0*i**3 - 5*i**3.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**3 + u**2 + 6100000. Let f be s(0). Round f to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-7\/4)\/h*h*h**11)\/(h**(-9)*h*h\/(h**9*h)) assuming h is positive.\nAnswer: h**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 1260674784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -0.3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 7, f: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-6 - -11) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -5240*i. Let r(m) = 51*m + 47. Determine w(r(o)).\nAnswer: -267240*o - 246280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = 5*c - 30, 173047*c = -4*w + 173044*c + 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 10116682 rounded to the nearest one hundred thousand?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:42 AM and 7:29 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 456\/(-1080) - 2\/(-9). Let p = -7206\/17 + 424. What is the third biggest value in p, -20, f?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 613720 and 22200.\nAnswer: 340614600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**4 + 56*f**3 + 1537*f**2 + 6160*f.\nAnswer: -f*(f - 77)*(f + 5)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 18270, 19391, 20512, 21633, 22754?\n\"Answer: 1121*r + 17149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 2*i = -157 - 28, -4*i - 215 = -3*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-32*(-124)\/64 - 50) + 3*-29?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k - 10. Let y be s(-10). Suppose y = -3*q - 3*q + 930. List the prime factors of q.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 218 + -153. Suppose -60*b - 40 = -h*b. Calculate the greatest common divisor of b and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of w**5\/210 + w**4\/84 - 13*w**2. What is z in c(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1190404 to the power of 1\/2, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - r + 81 = 0. Let c be 0\/2 - (-6)\/r. Let q = -1 + 5. What is the third smallest value in c, q, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 21 - 111. Let q be (-4)\/(-6)*z\/(-20). Let n be q\/4 - (-2)\/24. Which is smaller: n or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = 5*b - 3*f, 54*b + 17 = 53*b + 4*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuguuggugguuu. What is prob of sequence guug?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -138 = -5*m + 3*j - 130, 16 = m + 3*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-51)\/6 - -10) + 149\/(-106). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -0.748?\nAnswer: 0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3\/(-2))\/(14\/28). Let w(h) = 2*h**2 + 15*h - 12. Let f(p) = p**2 + 7*p - 5. Let v(a) = c*w(a) + 5*f(a). Calculate v(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2631, 2605, 2579, 2553?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 145660563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 126*r**3 - 4*r**2 + 7*r - 5. Determine t(1).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46721*-0.1.\nAnswer: -4672.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*o**3*p**2 + 1800*o**3 + 3*o*p - 38*p**2 wrt o.\nAnswer: -12*o*p**2 + 10800*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 13073 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -267 + 273. Let a(l) = 4*l**3 - 7*l**2 - l - 25. List the prime factors of a(x).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3236 or 3222?\nAnswer: 3236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -4, -2, -16, -52, -116?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -6951*d**2 + 15*d + 30. Let r(o) = -993*o**2 + 2*o + 4. Let p(b) = -15*r(b) + 2*w(b). Let h(j) = -j. Determine p(h(k)).\nAnswer: 993*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 5*g + 1904 + 2212, g + 3 = 0. Let l be (-14)\/147 + u\/(-63). Calculate the greatest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 + 125*m - 3872. What is c(68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 m when four letters picked without replacement from mllmlllllllm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 3) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 917708 or 917803?\nAnswer: 917803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of 4\/3*q**3 + 0*q + 1\/24*q**4 + 7\/60*q**5 + 0 + 1\/120*q**6 - 3*q**2. What is b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 755233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 2\/(12\/(-36)*2\/2*-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 54495546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-7644)\/(-14)*31\/93. Which is bigger: 216 or q?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 41.46 - -0.54. Let d = -42.2263 + 0.2263. Let n = d + t. What is the nearest to -1\/2 in 0.2, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -64\/87 and 6513\/(-1404) - (-2 + -5).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -108 (base 15) in base 7?\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 524 - 247. Let b = f + 24. What is the greatest common factor of b and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (12\/(-30))\/(2\/(-10)). Suppose -d*f - 10 = -0*f. Let z(a) = a**3 + 5*a**2 + 2*a + 2. What is z(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53530.03 kilometers in meters?\nAnswer: 53530030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1330303 (base 4) in base 10?\nAnswer: -7987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 13 - 35 = 4*u, -5*x + 105 = -5*u. Let g be 8\/6*(-5)\/((-20)\/x). Factor 7*m + g*m - 18*m + 2*m**3 + 3*m.\nAnswer: 2*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 146\/33 - 34\/11. Suppose 0 = 3*q + 3*u + 9, 7 = -q + 8*u - 7*u. Let w = -0.5 - -0.4. Which is the nearest to 2\/7? (a) w (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -1039*i + 9354. Let s be c(9). Determine f so that 0 - 1\/5*f**s - 1\/5*f**5 + 0*f**2 + 2\/5*f**4 + 0*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 g, and 2 c when four letters picked without replacement from gcggggoggogogggcg.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/6 or -16.3?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (0\/(-10) - 1)\/(1\/(-5171))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 AM and 4:16 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10737215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -98*p + 465*p**3 + 92*p + 1181*p**3 to the form y*p**2 + o*p + w*p**3 + v and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 + 6 + 0 - 5 + 1. What is x(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 12 = -36. Suppose x - 5*i = 6*x + 85, -3*x + 4*i = l. Let a be (-1)\/(-3) + (-56)\/x. Solve 0 = -a*d - 16 + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 - 2*c**2 + 4*c - 7. Let o be r(-5). Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 2450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -w**4 + 4923143*w**3 - 6059331788038*w**2 - 6059346557472*w + 12118673422368 = 0. What is w?\nAnswer: -2, 1, 2461572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/7, 1\/6, 3\/5, 71.88, -119, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 157103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -115\/7942 and 65\/3306.\nAnswer: 690954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 635229908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 193391603563214.000229 - 193391684590074. Let x = u - -81027425. Let s = x - 565. Round s to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*u + 2168 = -692 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b + 29. Suppose -4*o + 51 = 3*v, -31*v - 10 = -32*v + o. Calculate f(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -2*y. Let g = -3 + 5. Let z = 7 - g. Suppose 0 = -a + v + 5, -z*a - 4 = -3*a + 5*v. Give l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-2 + 38\/18). Let u be 146\/l + 20\/(-90). Let k = 5 + u. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 75 - 132. Let i = 84 + c. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + (3 - ((3 - 1) + 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3020349289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 497 is divided by 122.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 74\/(5\/9*20\/100). Calculate the greatest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 6.142502 nanometers?\nAnswer: 0.0000006142502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2.5, 16666, -5\/14 in increasing order.\nAnswer: -2.5, -5\/14, 16666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qk when two letters picked without replacement from {q: 6, k: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 2:14 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -26*j. Let q(m) = -72*m - 2747. Determine k(q(w)).\nAnswer: 1872*w + 71422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, j: 1, s: 1, t: 1, d: 1}. What is prob of picking 1 s and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) 3\/4 (d) -827 (e) -3\/8 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4027 + -4015. Suppose 4*p - 240 = 272. What is the remainder when p is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*d + 2*d + 0*d + 29*d = 0. Let h(t) be the third derivative of 3\/8*t**3 - 1\/240*t**5 + 30*t**2 + 0*t + d + 0*t**4. What is k in h(k) = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 3*z + 68*z + 371*z.\nAnswer: 442*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18*h**5 + 3*h**4 - 259*h**3 + 2155*h - 10.\nAnswer: 360*h**3 + 36*h**2 - 1554*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*w + 38*w = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (d**2 + 3*d**2 + 0*d**2)*(-5*d**2 - 23*d + 23*d) + (d**2 - 4*d**2 - 4*d**2)*(6*d**2 + 0*d + 0*d).\nAnswer: -62*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5 - -9)\/(2\/5). What is the greatest common factor of m and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4444 is divided by 69.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in -1, -115, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 10107 = 1918*p - 1173 - 5982 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*-1048.2.\nAnswer: 3144.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1285*r - 1783*r + 3072*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 114651906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 12718073, 25436149, 38154225?\n\"Answer: 12718076*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 10*r - 24. Let i(g) = -g - 2. Let n(m) = -a(m) + 12*i(m). Let l(s) = 32*s - 13*s - 18*s. Calculate n(l(z)).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/k**(-38\/7))\/k*k**(1\/80))\/(k**4\/k*k*(k**33*k*k)\/k))**37 assuming k is positive.\nAnswer: k**(-674621\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/84*114 + -10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4748 and 6516630.\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3938 - 3*y + 3938.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n = -5*n - 3*n + 332. What is the remainder when 1151 is divided by n?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - 16 - 1738320\/(-105000) - 20\/35\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence goar when four letters picked without replacement from {o: 1, g: 1, r: 1, a: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 79986 or 79985?\nAnswer: 79986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 52498010 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 65 - 53. Suppose x*r = 11*r + 499. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -472*i*j**3 - 80*i*j**2 + 4*j**2 wrt j.\nAnswer: -2832*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 203686*u = 203684*u + 5*h - 21, -4*h + 21 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 41 - 41. Let p = -27 + 80\/3. What is the nearest to 0 in p, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n = 12*n - 224. Suppose -n = -5*t + 443. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -110*q. Let t(a) be the second derivative of -7*a**3\/6 + 540*a. Give p(t(l)).\nAnswer: 770*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - n + 39 = 4*i, 0 = -5*i - n + 46. Suppose 0*w - w = -9. Let y = w + -3. What is the highest common factor of i and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - m - 31, 0*m = 5*p + 3*m + 37. Let l = -5 - p. Let c(g) = -g + 2. Let a be c(l). Is -5 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8122 is divided by 8106?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.4244 + -5.651. Is 1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 149 by -1.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(218\/(-44) - -5). Let i(s) = s**3 + 24*s**2 + 41*s + 38. Let j be i(x). What is the highest common factor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9955, 9115, 7733, 5821, 3391, 455?\nAnswer: -2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 1708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 649, -3, -6 in ascending order.\nAnswer: -6, -3, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -2*y - 10. Let f be d(-13). Let h be (9\/12)\/(42\/f). Which is the closest to 1? (a) -4 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12226 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: Find the common denominator of 35\/36 and 131\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -3*u - 0*u + 2*f, -2*u = 2*f - 14. Put u, -1, 2 in ascending order.\nAnswer: -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4437*r**2 - 6 - r + 2 - r**3 - 4454*r**2 in the form c*r**2 + p*r**3 + y*r + x and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30, 183, 520, 1107, 2010, 3295?\nAnswer: 5028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 1724173 by 16.\nAnswer: 1724173\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34\/4437*-18*(-2)\/(-4).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 + 24.067. Let q = y - 1.067. What is the second biggest value in -4, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor m**3 - 814724*m**2 + 3258884*m - 3258880.\nAnswer: (m - 814720)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -16 (base 7) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 93.49556 micrograms in kilograms?\nAnswer: 0.00000009349556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 6*t**2 - 3*t - 2. Let m(c) = c**3 - 15*c**2 + 6*c + 5. Give 15*k(q) + 6*m(q).\nAnswer: 6*q**3 - 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 4, w: 3, q: 5, c: 1, j: 1, b: 1}. Give prob of picking 3 w and 1 j.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - (-1)\/(-5))*-15. Let a be 4\/6*d\/(-1). Suppose h - 3*h = -a. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 171923489*s**3*z + 2*s**2*z + 2*s**2 + 2*s*z + 10*s + 16192*z - 9 wrt s.\nAnswer: 1031540934*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 17245 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 8*i - 5. Let j be z(1). Let l(y) be the first derivative of 3\/2*y**2 + 2*y - 2 - 1\/3*y**3. Calculate l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -30*(4 - 3\/(-6)). Let w be (3 - q\/(-10))*-10. Let m = -28 + w. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5109*k**4 - 2*k**3 - 15158*k**2 wrt k.\nAnswer: 122616*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(6\/19)*l*l*(l\/l**9)\/l assuming l is positive.\nAnswer: l**(-127\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 - 12*p**2 + 29*p - 16. Let f be y(9). Let i(n) = 3*n**3 - n + 1. Let l be i(1). Suppose -3*m + 15 = l*t - 0, -3*t = f*m - 13. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((k*k**(-2))\/k)\/k)\/k)**48)**(-2\/37) assuming k is positive.\nAnswer: k**(384\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjaqa. What is prob of sequence aqqa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 8*j**2 - 2*j - 2. Let i be o(-1). Let y(b) = 3*b**2 + 6*b - 83. Let u be y(-10). Let g = u - i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c**4*z - 81631*c**2*z + 58*c*z - 5410*c wrt c?\nAnswer: 24*c**2*z - 163262*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -1195 greater than or equal to -1474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 2*c - 72, -4*z + 24 = c + 3*c. Suppose -3*t - 2*r - 17 = 15, -4*t + 5*r = 35. Let b = t - -22. Is b at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -33833, -67620, -101407?\n\"Answer: -33787*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-24 + 9 - 39) + -65 + 0 + 19?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is u in 28*u**4 + 96748*u**3 + 895752*u**2 - 716848*u - 275680 = 0?\nAnswer: -3446, -10, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -31, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 128068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -3485 divided by -205\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 550314 is divided by 121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -11*b**4*v + 2*b**2*w + 58820*b*v - 13*v*w - 93*v - 475*w wrt b.\nAnswer: -44*b**3*v + 4*b*w + 58820*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 23 (base 4) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -0*h - 3. Let b = h - -29. What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -50818723 and 2.6?\nAnswer: -132128679.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 + 8*c**2 - 5*c - 4. Give w(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor u**4 - 3*u**3 - 207*u**2 + 1967*u - 4998.\nAnswer: (u - 7)**2*(u - 6)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zg when two letters picked without replacement from glalaz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 92 = 2*k, d - 6*d + 46 = k. Let u = k + -29. What is the second derivative of 3*y**4 + u*y + 5*y - 5*y**4 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4*k - 236 = 2, -3*k + 6 = 0. Suppose 4*w - 2*d = -210, 2*w + d + i = -0*d. Let r = w + 109. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/((-398)\/78 + 5). Let k(m) = -m**2 + 9*m + 1. Let r be k(8). Suppose 0*y + r = -y. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1608928 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2124 + 2772. Calculate the remainder when k is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 2*f - 1. Suppose -3*q + 3 = -4*d, 2*d - 8*q + 12*q = 26. Let b(w) = 31*w + 2. Let y(l) = d*c(l) + b(l). Let r(h) = 4*h**2. Calculate r(y(n)).\nAnswer: 5476*n**2 - 296*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 5*b = 6 - 21, -2*i - b - 1 = 0. Find the common denominator of 1\/(-5) - 269\/30 and i\/(-4) + 15\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - 26a?\nAnswer: -26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2009993 is divided by 711.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4 + 3 + 10 - (10 + -8). Let f(r) = r**3 - 5*r**2 - 11*r + 9. Calculate f(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 856?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 348312 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149943?\nAnswer: 3, 151, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 31369 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -323 = -4*m - 3*n, -2*m + 16*n + 151 = 21*n. Calculate the remainder when 826 is divided by m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5393 or 102450\/19?\nAnswer: 5393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -2.51 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 2 p, and 1 q when four letters picked without replacement from {p: 9, q: 4, k: 1}?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in -6, -0.2, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02153 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from grriirr. What is prob of sequence rrr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 4*z = 14, -4*z + 16 = 3*n - 5*z. Solve -q = 4*q - n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*f - 15 + 15)*(-27 + 25 + 12)*(-f + 5*f - 2*f)*(2 - 2 - 1).\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 - 17. Let k = i + 4. Is ((-124)\/k)\/(8\/12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15936, 31958, 47980, 64002, 80024, 96046?\nAnswer: 112068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-1*sqrt(88)*-1)\/(-6*(sqrt(200) - sqrt(200)*-2)).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 2:21 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes before 5:42 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 174.801 - 3.101. Let d = -172 + y. Which is the nearest to 0.5? (a) -1 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 141*a**2 - 20*a - 4. Let q(o) = 70*o**2 - 9*o - 2. Determine -4*m(i) + 9*q(i).\nAnswer: 66*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 4 - 0 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - y - 2*g = -65, -4*y + 79 = -5*g. Let w = 7 - 21. Let f = y + w. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 3. Let h = b + 56. Suppose -p + h = -0*p + 5*c, 0 = -p + 4*c + 66. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 211 a factor of 303629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 18 - -834.247\nAnswer: 852.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o - 409 - 77 = 0. Calculate the remainder when 218 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 297496 - 22*d - 297496.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2 - 35*f - 93. Determine z(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of 0*u - 15*u**2 - 7\/6*u**3 + 1\/20*u**6 + 0 + 0*u**4 + 0*u**5. Differentiate a(m) with respect to m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n**2 + 40*n + 34*n**3 - 64*n**3 - 16*n + 24*n**3 - 2*n**4 = 0. What is n?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -98*s + 100*s - 4 = 0, 2*z = -4*s + 24 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 50 + -31 + (1 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75211122.\nAnswer: 2, 3, 7, 167, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-44)\/20)\/1*(-4 - 1). Let f(u) = 17*u. Let s(w) = -w + 1. Let b(l) = 4*l - 2. Let d(j) = 3*b(j) + 6*s(j). Calculate a*d(v) - 4*f(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 0*g**2 - 57*g**2 - g**2 - g. Let b(t) = -t. Give y(b(l)).\nAnswer: -58*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from wxxxwxxxxxwxxxwxxxxx.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/4*-2*0. Suppose 6*s - s = 15. Let q be g\/(s + -1*2). Solve -k = -q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -1019*v + 7536. What is f(7)?\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2 - -685.1\nAnswer: 683.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3432 = 21*b + 3390. Solve b*c + 4*u = 18, 0 = -21*u + 19*u + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*((-91)\/(-14))\/13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 3*m - 4*m)*(0 - 3 + 5)*(-7*m**2 - 3*m**2 + 3*m**2).\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 106 = 2*h + 2*o, 2*h - 104 = -0*h - 3*o. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*t - 2. Let i(w) be the second derivative of -2*w**3\/3 + 19*w**2 + 6*w. Let b be i(t). Put b, -5, 2, 0 in decreasing order.\nAnswer: b, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (19 - (-6 - -6)) + -19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/(-224))\/((-4)\/7) + (-35)\/20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 450\/12 + (-6)\/4. Let g = b + -107\/3. Solve f - 2\/3 - g*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (-50)\/(-18)*20\/25.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5108 - -20965\/4. Let i = 101 - -33. Let u = i - x. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 126*l + 341 = -378 - 289 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (269*i**3 + 0*i**4 + i**4 - 277*i**3)*(-6 + 2 + 5).\nAnswer: i**4 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**2 + 22*w + 28. Let z be n(20). Suppose -43*u = -45*u - z. Put 4, -3, u in descending order.\nAnswer: 4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6.83 times -19?\nAnswer: 129.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (9\/12)\/((-3)\/12). Let s = -0.039 - -0.107. Let p = 0.032 + s. Which is the nearest to -2? (a) p (b) -1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 13, 0, 1, -1, 5, -21 in increasing order.\nAnswer: -21, -19, -1, 0, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 31462 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -6*q + i + 57, 3*q + 4*i = 57. Suppose 18*z - q*z = -4*j + 1269, 3*j = 2*z + 939. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1682881824 a multiple of 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -871, -1744, -2617, -3490?\nAnswer: -4363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h**2 - 260*h - 540 = 0. What is h?\nAnswer: -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 4*t - 34. Let o be (3 - t)\/(-1 + -1). What is the derivative of -3 - o*l + 6 + 5*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4859901941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 190 and -18.4451703081.\nAnswer: 171.5548296919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of m**11\/55440 - m**7\/630 - m**4\/12 - 2*m. Let w(f) be the third derivative of x(f). Find the third derivative of w(y) wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3006 and 85671.\nAnswer: 171342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the third derivative of -n**6\/180 + n**5\/10 - 5*n**4\/12 + 7*n**3\/9 + 29*n**2. Suppose m(a) = 0. What is a?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 6, 72, 3\/7, -5 in descending order.\nAnswer: 72, 6, 5, 3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor s**4 + 376*s**3 + 33799*s**2 - 292224*s + 258048.\nAnswer: (s - 7)*(s - 1)*(s + 192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 21*a**2. Let r(q) = 5 + 2 + 1 - 2*q - 8. Determine r(x(u)).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x - 7*x + 2*x)*(-3 + 3 + 1) + 9*x - 13*x - 11*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/3*13\/13*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3828074814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of -19*n**2\/2 + n - 247. Determine q(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 p, and 1 t when three letters picked without replacement from pdttbdt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5147684 and 17964?\nAnswer: 46329156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1949268609 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3.144918 rounded to two decimal places?\nAnswer: 3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 596*j**2. Let u(i) = -576 + 297 - i**2 + 279. Give u(o(l)).\nAnswer: -355216*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(700)*4 + 2 - sqrt(49)\/((sqrt(63) + sqrt(63)*5)\/sqrt(9) + sqrt(7))*-2)*3)**2.\nAnswer: 30312*sqrt(7)\/7 + 6380928\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ugggu. What is prob of sequence gggu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 6.3*1166.021\nAnswer: 7345.9323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 - -360. Let c = 530 - p. Let q = c + -1115\/7. Sort 1\/7, -4\/3, q.\nAnswer: -4\/3, q, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 - 13*v**2 + 9*v + 6. Give d(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 0) + -9 + 6 - (2 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**3 + 15*k**2 + 2427*k - 2447*k + 2*k**3.\nAnswer: 5*k*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -231106 = -10*q + 133224. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - h = d - 10, 0 = -3*h + 4*d - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 5*q - 17 = 0, 3*q - 12 = 3. Let p(t) = t + 3. Let i be p(u). What is the derivative of -11 - 10*h + i - 3 wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 4*o - 25 = -1, 4*o + 14 = -u. Suppose u*y - 5*y = -15. Let f(n) = -4 + 3*n**3 - 4*n**3 - 1 + 5*n**2. Calculate f(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from jjjeegjejgjgjeejjjg.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wuwixow. Give prob of sequence wu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 + 24.17. Let g = -0.13 - y. Let z be 1*((1 - 2) + 2). What is the nearest to z in g, 1, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16718796 divided by 12?\nAnswer: -1393233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((2*sqrt(260)*4)\/(sqrt(245) - sqrt(245)*-2))\/((sqrt(144) - -1*sqrt(144)*6) + (sqrt(144) - sqrt(144)*-2*6 - sqrt(144))).\nAnswer: 20*sqrt(13)\/1197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 177 + -3008\/17. Let m = 29\/85 + a. Is m greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in 5\/3*d**3 - 50\/3*d - 35\/3*d**2 + 80\/3 = 0?\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -5. Suppose 0 = 4*u - g*u + 4*x + 12, u - 14 = 3*x. Suppose r = -u*r + 9, 3 = -3*f + 3*r. Which is the closest to 0.3? (a) -3\/8 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -19780*m**2. Let o(n) = -2*n. Determine w(o(r)).\nAnswer: -79120*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of z**8\/1848 - z**7\/1155 + 9*z**2\/2 - 5*z - 179. Let w(c) be the second derivative of u(c). Determine b so that w(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 8520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 64637, 64614, 64589, 64562, 64533?\n\"Answer: -y**2 - 20*y + 64658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggud when four letters picked without replacement from svegsegussdu.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 14b2 - 3?\nAnswer: 14ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add 4204 and 0.99.\nAnswer: 4204.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2 + 5458*k + 1121664.\nAnswer: -2*(k - 2921)*(k + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**2 - 4*f + 1. Let n be h(-2). Suppose -3*z = -n*z + 488. Suppose -3*k + 140 = -4*g, 4*k + g + 51 - z = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36484.299 rounded to the nearest 10?\nAnswer: 36480","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: What is -3053000 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 101 and 26317469.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -906 - -1575. Suppose -3*j = -3*o + 171 + m, -3*j + 12 = 0. List the prime factors of o.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -246192*p - 1 + 1 + 1.\nAnswer: -246192*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -6*v**2. Let p = 2097 - 2094. Let q(a) be the third derivative of 0*a + 0*a**p + 0*a**4 - 12*a**2 + 0 + 1\/30*a**5. Determine q(j(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7989 - -39948\/5. Factor -z + 0*g + 3\/5*g**2.\nAnswer: 3*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 4:37 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 21*t + 1555. Let g be w(-74). Let s(r) = -2*r + 74*r**2 + 177*r**2 + 1 + 1. Is s(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*f + 234 + 38. Calculate the remainder when 57 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/(-3) - -3 - (-803204)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7d0e - 87?\nAnswer: -7d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/563 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -237989, -237990, -237991, -237992, -237993?\n\"Answer: -z - 237988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1298 - 1284. Let k(s) = -5*s + 2. Let o(m) = -11*m + 5. Determine q*k(a) - 6*o(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y**3 - y**2 + 1. Let z be a(1). Suppose -3*g = -17 - 13. Suppose -5*u = -g*u + 30. Solve 0*n - z*n - u = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 66038*v**4 - 26*v**3 - 5*v**2 - 861914 wrt v?\nAnswer: 1584912*v - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-6)*6\/2. Suppose -2*c = -4*j, 5*c - 32 = -j + 23. Suppose v - c = -u. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(6\/4) - (-88)\/(-6). Calculate the remainder when 208\/(-20)*105\/j is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 3*k**2 - 11*k + 18. Let f be r(9). Suppose -3*l + f = 51. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26820097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -917 divided by 4.\nAnswer: -917\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1845 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2931 - -2930.971395. Round d to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (50\/14 - 1) + 40\/(-70). Suppose -2*i - 10 = w. Let n(q) = q**3 + 5*q**2 - 7*q - 7. What is n(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - -12.2. Let h = u - 6. Is h at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x - 612 = -9*x. What is the smallest common multiple of 10 and x?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 9.253526 millennia?\nAnswer: 9253.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3. Let g(q) = 3*q**3. Let v(i) = i**3 + i**2 - i - 2. Let h be v(-2). What is h*c(j) - g(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 3*f - 24 = 0, -4*o = -f - 5 - 4. Let s(t) be the third derivative of 0*t**4 + 0*t + 1\/60*t**5 + 0 - 8*t**2 + 5\/3*t**o. Differentiate s(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 21*a**2 - 1400*a - 2812. Let c(f) = -38*f**2 + 2800*f + 5626. Let l(x) = 4*c(x) + 7*j(x). Suppose l(p) = 0. Calculate p.\nAnswer: -2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1534567 to the power of 1\/2, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -30*j - 255 + 67 - 292 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 32 + -20. Let a = -24 + b. Sort 0.4, a, 5 in decreasing order.\nAnswer: 5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**2\/15 - 4*v\/5 - 2\/3.\nAnswer: -2*(v + 1)*(v + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 287*d - 87*d + 198*d + 7164 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -207, -0.03, -1\/1370, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*n = -2*k + 63*n - 166, 6*k + 27 + 42 = -2*n - 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sgggvllslsl. Give prob of sequence svll.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = 7*o - 5*m + 10, -6 = 3*o + 3*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 232731*i*o**3 - 50844*i*o**2 + 3*i*o + 2*o wrt o.\nAnswer: 1396386*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-1))**(-21))**41)**(2\/11) assuming f is positive.\nAnswer: f**(1722\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 790875966?\nAnswer: 2, 3, 5569, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1223492 - -102?\nAnswer: -1223390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 373 + 479 = 0. Let s = -230 - y. Do -19 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20.39031 rounded to one decimal place?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(20) - ((-2*sqrt(180) - sqrt(180) - sqrt(180)) + sqrt(180)))*2)\/(2*(sqrt(640) - (sqrt(640) - -1*sqrt(640)))*-6) + 3.\nAnswer: -5*sqrt(2)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432)*-2 + -4 + sqrt(1728) + 0 + -5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -15437971 not equal to -15437971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -143*s**3 - 5*s**2 - 28*s - 1. List the prime factors of j(-3).\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -13*k**2 - 26*k - 68. Let q(n) = 7*n**2 + 13*n + 34. Let l(g) = 6*h(g) + 11*q(g). Let a be l(-6). Are a and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:47 PM and 5:58 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p**2 + 3*p**2 + 0 + 0.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - -213253153?\nAnswer: 213253200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 365 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from {l: 1, q: 1, k: 2, a: 3, c: 1, z: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -77, 1871 in descending order.\nAnswer: 1871, -8, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 16 - 40) + (-23 - (25 - 55)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4931754119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 2.3045202ns?\nAnswer: 0.0000000000000266726875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 1, -0.4, 6\/7, -0.5, 4\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -72760.8 times -0.2\nAnswer: 14552.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (94\/10 - (-6)\/10) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 PM and 1:04 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.05449 and 0.09.\nAnswer: 0.14449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 429.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-2))**42*b**11*b**(-2) assuming b is positive.\nAnswer: b**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -626780 = 61*c - 628610 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of g**3\/3 + 83*g**2\/2 - 816. Let s(t) = -2*t**2. Calculate u(s(a)).\nAnswer: 4*a**4 - 166*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -5*o**3 + o**2. Let t be k(1). Let y = 1.88 + -2.9. Let a = 0.02 + y. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/280 and 37\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -901*-515\nAnswer: 464015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*i = -26*i - 118. Which is the second biggest value? (a) i (b) 2 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-130 - -144)*2\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - 10*o + 5. Let f be g(-10). Solve 0*z + 20 = f*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9202987 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/12)\/((-1)\/6). Suppose 0 = j - 4*j + a. Let u = 2.2 - 2.7. What is the smallest value in 0.3, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes before 8:56 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 793964?\nAnswer: 2, 198491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*m - 288 + 22 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**2 - 16*t - 16. Let c = 600 + -371. Let x = 214 - c. Give d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*-9*7\/420*50\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(112) + sqrt(112) + -2 + sqrt(112)) + -5*(sqrt(112) + 1))**2.\nAnswer: -800*sqrt(7) + 44825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a + 6, -b + 0*a + 3*a + 6 = 0. Solve b = -n - 2*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 + 12*x - 6. Let s be y(12). Is s - (-10)\/(-8)*205772\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**5*r\/r**1)\/(r**(2\/11)*r**(-4\/7)\/r)*(r\/(r*r\/(r**5\/r)))\/(r**(2\/3)*r)*((r\/(r*r**0*r))\/r)\/(r\/((r\/r**(-2\/9))\/r)) assuming r is positive.\nAnswer: r**(4120\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000003158676097 rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 706.4304 from -458849.\nAnswer: -459555.4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = y + 8. What is the highest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 32074 and 208?\nAnswer: 3335696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 15) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of -s**6\/30 + 3*s**5\/20 - s**4\/4 + s**3\/6 - 62*s. Suppose p(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 29434201*z - 2 + 29434213*z - 4 + 5.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1960, 1952, 1932, 1894, 1832?\n\"Answer: -s**3 - s + 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-15))**36\/(a**(-1)\/a*a*a**27) assuming a is positive.\nAnswer: a**(-530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6627\/2 + 3288. Find the common denominator of 143\/6612 and o.\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9\/41, -3, -0.03, -2\/25, 2 in ascending order.\nAnswer: -3, -9\/41, -2\/25, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -6. Suppose 3*p + 21 = 2*z, -z + 2*z = a*p + 18. Let m = 20 + -17. Calculate the greatest common factor of z and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10792\/68965 + -14\/5305. Let -3034\/13*m + 6724\/13 - 160\/13*m**2 - r*m**3 = 0. What is m?\nAnswer: -41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003343 rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 69337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -5*l - 8. Let q be j(-4). Let k = q + 116. Calculate the highest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = a + 3*f + 19, 4*a + 2557*f = 2554*f - 67 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8568)\/1785*10\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/7 in 3, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2937 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -46 (base 10) to base 7.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -12*d + 1. Determine z(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yykk when four letters picked without replacement from kykkkkyk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1479 and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 8, i: 2, y: 4}. What is prob of picking 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1707028 at least as big as -1707023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 + 14*a**2 + a + 11. Determine v(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 108.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 166925111 is divided by 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + 4*w**2 - 5*w - 6. Let b be 0*(-2 - -3) - (1 - 1). Suppose -5*c - h = 28, b = 5*c - 8*c - 4*h - 27. Give i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 72)\/((-1)\/(-15)). Find the common denominator of q\/6*3\/(-15) and -19\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (76 - 76 + 29*s)*(-29 - 52 - 24).\nAnswer: -3045*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -136418, 30\/149, -1?\nAnswer: 30\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 2057 = 265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 1658510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - 3. Let p = 12 - 7. Suppose -2*l + 5*t + 29 = -5*l, -p*l = 5*t + 35. Which is the nearest to 1? (a) 4 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, l: 2, e: 1}. What is prob of sequence fl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 6244829 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 58.101291 nanoseconds to hours.\nAnswer: 0.0000000000161392475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 40 + 20769*x - 4*x**2 - 20769*x + (-2 + 0 + 3)*(-x**2 - 2*x + 2*x).\nAnswer: -5*x**2 + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 68 = -2*p + 2*l, -l = -p + 23. Let m be 252\/144*((-16)\/(-7) - 2). What is the nearest to 0.1 in m, p, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*s**2 + 3*s**2 + 2*s**2 - s**3 + (-1 + 3 - 5)*((3*s + 2*s - 11*s)*(5*s**2 - 4*s**2 - 2*s**2) + 2*s**3 - s**3 + 0*s**3).\nAnswer: -22*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of -l**7\/7560 + l**6\/540 - l**5\/120 - 9*l**4\/8 - l**2. Let y(s) be the second derivative of v(s). Suppose y(q) = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*m - 25. Let l be m\/(-18) + 47\/9. Suppose 3*y - 149 = l*o, 3*y = o + 214 - 69. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -86*c**2 + 107*c**2 + 80 - c - 26*c**2 + 0*c in the form f*c + b + t*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -65 + 137. Suppose 2*b = 26 + 10. Calculate the highest common factor of q and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -7*q**2 + 2*q + 1. Suppose -y = -4*c - 0*y + 25, -3*c + 25 = -2*y. Suppose 5 = 2*w - c*d, 4*w - 4*d = -0*d + 16. Suppose 5 = -w*j - 0. Give l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 36*y + 1328. What is h(-37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the third derivative of -7*c**2 + 0 - 1\/24*c**4 - 1\/3*c**3 + 7\/20*c**5 + 0*c. What is the remainder when 79 is divided by b(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7418 (base 14) to base 4.\nAnswer: 10320232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 471*r = 466*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-1 + sqrt(1088))*2.\nAnswer: -4 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 - 6. Let q = o - 1. Calculate the highest common divisor of 55 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**3)**34\/((f\/(f*f*f*(f*f\/f**(1\/2))\/f))\/(f*(f**(-8)*f)\/f)) assuming f is positive.\nAnswer: f**(195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, o: 1, x: 1, y: 5, h: 3, g: 1}. What is prob of sequence hhh?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/(r\/(r*r**(-14))*r)*r**(14\/3)*(r**(1\/23)\/r)\/(r\/r**(1\/6)))**(-22) assuming r is positive.\nAnswer: r**(15367\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1190, 4794, 10802, 19214, 30030, 43250?\n\"Answer: 1202*i**2 - 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -120.00039 + 120. Round a to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = -3, 3*q + q - 8*b - 4 = -8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1799.1 + 1799. What is the third biggest value in t, 8, -2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + -7 + -9 - (-5 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 27 = -5*u, z = -u + 4*z + 13. Let f = 40 - u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 4*r = 4, 3 + 2 = -2*p - 5*r. Let h be (-4)\/6*(-3 + 0). Which is the biggest value? (a) h (b) p (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 706 - 702. Is -13 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -2 and -1490577178060.\nAnswer: -1490577178062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*g**2 + 123 - 123.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*u + 7*u = -78 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -163.9 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4\/3 (b) -3 (c) 1081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(60)\/sqrt(3)*-2)\/(sqrt(30)\/(sqrt(12)\/sqrt(4))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8129 + 24388\/3. Which is the nearest to -3.1? (a) 0.1 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*o + 3. Let s(m) = 4*m + o*m - 4*m - 2*m. What is the units digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-17)*r*r**(-3\/16) assuming r is positive.\nAnswer: r**(-259\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 1\/6*u**3 + 20*u + 0 - 19\/10*u**5 + 0*u**4 - 2*u**2. What is the second derivative of j(b) wrt b?\nAnswer: -228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/(-18) + (-25180)\/24 + -8. Let u = 16472 + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 41327 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 386255 a multiple of 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -108*n - 540. Let l be c(-5). Let i be ((-3)\/(-77))\/((-30)\/80). Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(2*(sqrt(320)*-2)**2 - (sqrt(320) + 3 + 0 + sqrt(320))**2).\nAnswer: -3813 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -4 + 3*d - 3 + d**3 - d**2 - 4*d**2 - 6*d. Let y(q) = -q**3 + 4*q**2 - 2*q + 3. Let u be y(3). Is w(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 19.67 (b) 487 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 92 and 1288.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the third derivative of -v**5\/60 - 7*v**4\/24 + 10*v**3 + 128*v**2. What are the prime factors of w(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -12? (a) -0.3 (b) -6\/13 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.9815 + 1.981491193. What is j rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/2*(-3)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 6)*(2*h + 3 - 3)*(-4*h - 6*h - h).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 168 and 252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -3275451\nAnswer: 1\/1091817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -2*o**3 - 33*o**2 + 16*o - 13. Let y be f(-17). Let j(d) = -6*d + 28*d + y*d - d. Let u(k) = 2*k. What is u(j(r))?\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*d + 92 = -129. Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*a + 4 - 5 + 78*a + 33*a as i + q*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -346*s + 3. Let t be q(-4). Suppose y - t - 7013 = 0. What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000015652 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 263510 and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-213) - (-1786150)\/(-22945425).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 64\/24*(-25)\/20*(-34)\/(-696) and 95\/406.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*h + 3*w - 23 = -26*h, -w + 17 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4\/9 - 71*d**3\/3 - 422*d**2\/9.\nAnswer: -d**2*(d + 2)*(d + 211)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(108) - (sqrt(108) - (2 + (sqrt(108)*2 - sqrt(108))))) + sqrt(108) + 1 + -5)*-3)**2.\nAnswer: -432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 102122459.\nAnswer: 102122459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the third derivative of -j**2 + 0 + 0*j**4 + 0*j + 7\/6*j**3 - 1\/30*j**5. Let a(m) = 3*m**2 + 3 + 1 - 14. Give 5*a(i) + 7*c(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000075790813 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -52 + 38*s**2 + 52 - 131*s**2 to the form y + w*s**2 + b*s and give w.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10283444.\nAnswer: 2, 31, 127, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -130784 greater than -130829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -4*v**3\/5 - 62863756*v**2\/5 - 49398141443968*v + 49398154016720 = 0.\nAnswer: -7857970, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 48 = x + 142, 5*j + 2*x = 244. Suppose -3*k = -4*t - 6*k + 38, 0 = 5*t + 4*k - j. Let d = t + 10. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - 3 - (-1 + -48). Let j = -35 + y. Solve 5*s + 0*s + 11 = -4*q, j = -q - 5*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11904 is divided by 844.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 107.\nAnswer: 53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (12\/8)\/((-1)\/(-2)). Suppose 4*y = 15 - b. Suppose h - 3 - y = 0. Calculate the remainder when 9 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77888.92 decades in years?\nAnswer: 778889.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1096*b**5 + 441*b**3 - 542831*b.\nAnswer: -21920*b**3 + 2646*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 609 and 6?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**3\/9 + 542*v**2\/3 - 20860*v - 131712 = 0. Calculate v.\nAnswer: -6, 147, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**3 - 10*w**2 - 15*w + 23. Let x be l(-8). Solve -x*v - 1 = -16*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 + 28\/(-12))*0. Let i(h) = -1 - 8*h + 7*h - 1. Calculate i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1474, 1477, 1480, 1483?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkkkkkaaakkkkkaa. What is prob of sequence aa?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6368373155 to the nearest integer?\nAnswer: 79802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.661362 + -271724.8\nAnswer: -271725.461362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2008 + 1410. Let y be u\/(-22) + (-24)\/132. Suppose -y*m + 125 = -22*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of -28\/3*l**3 - 3*l - 49\/2*l**2 + 0. Let p(q) = 7*q + 6. Let h(i) = 6*k(i) + 49*p(i). Calculate h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h = -737\/156 + 19\/4. Suppose -16 = 4*d + 8. Let n(l) = l**2 + 6*l. Let r be n(d). Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -309*p**2 - 20*p + 41. Calculate t(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*j**3 - 28*j**3 + 2*j**2 - 5*j**2 + j**2.\nAnswer: -30*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i + 84 + 6. Suppose -4*s = -2*x + 30, 3*s - 174 + 60 = -5*x. Let t = x - 9. Calculate the lowest common multiple of i and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1951*b**2 + 3339*b**3 + 912*b + 192 - 2510*b**2 - 834*b**4 + 48*b**5 + 804*b**3 = 0.\nAnswer: -1\/8, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2064 and 903.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 6 = 9. Let l(s) = s + 2. Let t(x) = -7*x - 13. Let j(v) = -18*l(v) - 2*t(v). Let p be j(-3). Solve 0*o = o + y + 3, -12 = f*o + p*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1023 and 60371322.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -8d129ef - 4?\nAnswer: -8d129f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (589 - 512) + (-40 - 20).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, p: 10}. Give prob of sequence pe.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -10230 and 113.2?\nAnswer: 10343.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 195311068?\nAnswer: 2, 79, 751, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (18*u**5 - 45*u**5 + 18*u**5)*(1 + 0 - 3).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**2 - 5*u - 3. Let f be z(4). Suppose 0 = -f*k + 11 - 2. Is -4 + (k - -1) - -84 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -30 + 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -11110110 (base 2) to base 7.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29.7 - 30.1. Sort -4, 3, g, 5 in descending order.\nAnswer: 5, 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -30 * -42.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes after 9:36 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1111757 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 13980 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -368 or -367?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2346713, 2346736, 2346761, 2346788, 2346817?\nAnswer: 2346848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-8)\/(-36))\/(-18*22\/(-7128)). What is the smallest value in 0.3, -130.3, -0.2, 3\/4, g?\nAnswer: -130.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -116 + 158. Suppose 0 = -2*x + 2*h + 76, 0*x = x + 4*h - 33. Let g = w - x. Calculate the greatest common factor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - d + 25, -3*n - 4*d = -7*n + 12. Suppose n*l = -6*l + 2210. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*j - 119 = 5*s, s - 2 + 11 = 34*j - 40*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of -7\/2*j**2 + 14*j + 7. What is the first derivative of z(t) wrt t?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 120532580 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -269*h**3 - 110*h**2 + 54*h**2 + 1 - 100*h**3 + 55*h**2 to c*h**3 + j*h**2 + r*h + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*q**3*w - q**2*w**3 + 2774*q**2 - 37810*q*w**3 wrt q?\nAnswer: -18*q*w - 2*w**3 + 5548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -2*q + 2. Let x(z) = 7*z + 286. Let u(n) = 2*a(n) - x(n). Determine u(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q + q**2 + 5*q + 1 - 4*q. Let h be v(-1). Suppose 0*y - 2*y = 2*g, -3*y = g + 8. Solve 5*k = -g*l - 8, h = -5*l + 4*l - 3*k - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 3. Let s be (-15)\/(-11 + 3 + (-14)\/(-2)). Solve -4*v + p = s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 55824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*y + 17*y = 3. Let v be ((8 - 1)\/7)\/(y\/(-4)). Suppose -u - z + 48 = 0, -3*z - 71 = -v*u + 128. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 22*t + 28. Let v(y) = 27*y + 35. Let w(k) = 5*a(k) - 4*v(k). Let j(g) = -10293*g. What is j(w(r))?\nAnswer: -20586*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-3) + (-8)\/14. Let g = 299\/3 - 99. Let k = g - i. What is the second smallest value in 1, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9902924.\nAnswer: 2, 97, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*g + 134*g - 288 = 151*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/111 and -26\/407?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 690*n**3 + 1313*n**3 + 704*n**3 - 327*n**3.\nAnswer: 2380*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of 1\/12*w**3 + 1\/120*w**5 + 0 - 32*w - 1\/24*w**4 - 1\/12*w**2. Solve u(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 63 - 125. Let m = i + 61.961. Let b = 0.431 - m. Round b to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -64069*v**2 + 768*v - 107.\nAnswer: -128138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 432 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -18*q**2 + 933*q + 104. What is a(52)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 260292 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6021*j**2 - 24750*j**2 + 6246*j**2 + 6241*j**2 + 6251*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 - (-3 - (-3 - -2)). Let y = -342 + 342.3. Let v = -3.8 - 1.2. What is the smallest value in v, y, a, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6*m**3 + 10*m**2 - 2*m - 96346 wrt m?\nAnswer: -18*m**2 + 20*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -32*c**3 + 11*c**2 + 6*c**2 - 265*c**3 - 2 + 22*c**2 wrt c?\nAnswer: -1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 872 and 162632?\nAnswer: 17726888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 75914, 75800, 75690, 75584, 75482, 75384?\nAnswer: 75290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 360\/(-2220)*((-148)\/30)\/(-37)*(-10)\/12.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 + -2 + 0 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -135 - -8?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -d**5\/20 + 5*d**4\/12 - d**3\/3 - d**2 - 4*d. Let u be (-44)\/(-12) - (-1)\/3. Let x be k(u). Solve -2*h - h = x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/5 of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 18267939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -268 - -235. Find the common denominator of b and 13\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**4\/7 - 290*d**3 - 6078*d**2\/7 - 6074*d\/7 - 2024\/7.\nAnswer: -2*(d + 1)**3*(d + 1012)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - 2)\/(0 + -1). Suppose -u - y + 8 = -0, -5*y - 56 = -o*u. Let x be 1\/(u\/(-15) + 1). What is the highest common divisor of x and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 + 20. Calculate the common denominator of (-2 + (-24)\/9)\/((-8)\/27) and t\/(-12) - 1162\/(-735).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 101053 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*f - 8 = 40. Let w = -21 + 27. Suppose -7*j + 1 = -w. Which is the third smallest value? (a) 0.2 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1512135063 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 946 - 341. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-2)\/190*-2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 8*x**3 - 4*x**2 - 4*x + 2. Let a be q(-2). Is -70 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) + (sqrt(162) + -2 - sqrt(162)) + sqrt(162) + 2)*2 + 0 + sqrt(162) + (sqrt(162) + -2*sqrt(162))*-1 + sqrt(162) + 4 + -5)**2.\nAnswer: -126*sqrt(2) + 7939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - (-2 + 2 + 1). Let j be 2 + 9 + s - 2. What is the highest common factor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 - 2*u**2 + 5. Calculate the remainder when o(0) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 - -869eb79?\nAnswer: 869eb76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 134*21.7062.\nAnswer: 2908.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 1:43 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4433200 - -4433194.999994. Let i = 0.05 + -5.05. Let k = i - x. Round k to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 820380657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)*-2*5 + sqrt(204) + sqrt(204))\/(6*sqrt(36)\/sqrt(3)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.4 + 3. Let i = -25 - -27. What is the nearest to 1 in i, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 + 26 - 3*p - 7)*(0 - 1 + 2).\nAnswer: -3*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5732092 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11716673 to the nearest integer?\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 2, n: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -24. Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = m + 42. Let k be (-4)\/14 + (-200)\/m. Let u(f) = -f**2 - 15*f - 22. Let g be u(-10). Solve -5*n + g = -l, -4*l = -n - l + k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-66)\/(-4)*((-60)\/(-11))\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 76127.24ms?\nAnswer: 76.12724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 293, 0.08, -0.2, -528, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**2)**45*(p\/p**(-2))\/p*p**0)**45 assuming p is positive.\nAnswer: p**4140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-224)*12)\/(-10*(-28)\/(-6860)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -382243.707 take away 352?\nAnswer: -382595.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1162 and 41500.\nAnswer: 290500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h + 10*h + 2 - 2 + 1. Does 7 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 18949*k*n*x**2 + 10*k*n*x + k*n + 4689*n wrt x.\nAnswer: 37898*k*n*x + 10*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -14, -35, -76, -143, -242, -379, -560?\n\"Answer: -g**3 - 4*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 574 + -1721\/3. Which is the closest to -4\/9? (a) -2\/9 (b) w (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*x, -c = -2*x - 11 - 4. Let d(g) = -2*g + 9*g + 2*g - 5*g**2 + c*g**2. Let l(b) = -3*b**2 - 2*b. What is -2*d(s) - 9*l(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*c - q - 12, c + 6863 = -5*q + 6865 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -18849582 + 1.31888\nAnswer: -18849580.68112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2\/15747 + -46687\/4361919. Let c be (8\/6 - 1)\/((-37)\/(-111)). Is s at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28) - 1*sqrt(28)*4)\/(2*sqrt(4)*-3).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 4, g: 2}. Give prob of picking 2 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1 * 743763\nAnswer: 743763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssm when three letters picked without replacement from mmsmmmmmsmssmmmmsmm?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 25*d - 28*d - 84*d as u + o*d and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 20*p**3 - 3*p**2 + 5*p - 1. Determine q(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the second derivative of -x**5\/140 - 19*x**4\/84 - 40*x**3\/21 + 50*x**2\/7 - 2*x + 148. Find n such that i(n) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2310, -2304, -2296, -2286?\n\"Answer: t**2 + 3*t - 2314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z + 20. Let b be i(-6). Suppose a - 12 - b = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 + 3*d - 12. Let b be z(-6). Suppose -3*r - 4*p = -b*r + 573, -p - 582 = -3*r. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*p**2 + 10*p**2 - 105473*p**3 + 105471*p**3 + 38 in the form t*p + h + b*p**3 + f*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -388 and 2?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the third derivative of x**4\/12 - 8*x**2. Suppose -4*f + 9 = -f. Let o(m) = -f*m - m**2 + 3*m. Calculate o(l(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes before 9:45 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19 - 31. Let v = z - -8. Let l be (-2)\/(-4)*-3*1. Which is the second biggest value? (a) v (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes after 3:47 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 59 + 472.408.\nAnswer: 531.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 - 8130.\nAnswer: -8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 + 42 = -2*b. Suppose 35*d + 21 = b*d. Solve 5*y = 4*p - d*p + 11, 5*y - 8 = -2*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77)*-3 - sqrt(77))*1 + sqrt(77) + sqrt(77))\/(sqrt(7) - -3*sqrt(175)) + 4 + ((sqrt(44)\/sqrt(4)*2)**2 - (sqrt(66)\/sqrt(6) + -5)).\nAnswer: -9*sqrt(11)\/8 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 2\/17, -0.01, -19, -90, -12, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q - 32. Let x be 3\/((15\/170)\/1). Suppose m + d + 26 = 3*d, -x = m - 4*d. Let s be f(m). Solve 3*l + 23 = s*j - 0*l, -3*l = -5*j + 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -180?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**2 - 16*q - 24. Let h be l(18). Solve 0 = 5*v - 2*v - h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*(a*a**(-4))\/a)\/a)**(-29\/5) assuming a is positive.\nAnswer: a**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*-3*(-4 + 4*(-1 + (2*sqrt(125) + sqrt(125) - sqrt(125)) + -1 + 3)**2).\nAnswer: 480*sqrt(5) + 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**2 - 9*j + 6. Let x be q(-8). Let b(g) = 2*g**2 - 2*g - 5. What is the remainder when b(4) is divided by 3*(1 - x\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-15))\/1 - 35192\/996?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 10051100 rounded to the nearest 10000?\nAnswer: 10050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5417098892 to the power of 1\/2, to the nearest integer?\nAnswer: 73601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -7803, -15611, -23419?\n\"Answer: -7808*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 240 - 1?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28121?\nAnswer: 61, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of 201\/2*m**2 - 53*m + 7\/2*m**3 + 0 + 5\/12*m**4. Find the first derivative of f(y) wrt y.\nAnswer: 10*y + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 239 + -4?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r\/(r*r**(-2\/21))*r)\/r)\/r**(-16))**(-7\/5) assuming r is positive.\nAnswer: r**(-359\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 1687541.217 to the nearest 100.\nAnswer: 1687500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-57)\/120 + 17\/(-136))*(1 - 76\/12)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*k + k + k + (-4 + 1 + 1)*(k + 0*k - 3*k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l, -98*l + 103*l = 2*r - 12734. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 18 - -6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 3*w - 29023*g + 29021*g + 17, 5*w = 5*g - 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 242 = -o. Let c be (o\/6)\/((-4)\/12). Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 6*h**3 - h**3 - 3 - 12*h - 4*h**3 - 2*h**3 - 11*h**2. What is the tens digit of q(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 48525030 to the nearest integer?\nAnswer: 6966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 159, 3, -7, -4.\nAnswer: -7, -4, 3, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 - 11. Suppose 7 - 8 - 11 = -6*m. Which is the nearest to -0.1? (a) t (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -10 + (-216)\/297*(-111)\/12?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/((d*d\/(d*d\/(d\/d**(2\/11)))*d*d)\/d))\/(d*d**0*d)*(d*d**(2\/3)\/d)**(3\/5) assuming d is positive.\nAnswer: d**(-133\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/1177886 and 103\/6?\nAnswer: 3533658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**2 + 5*z - 2. Let b be x(3). Suppose -b*p - y + 0 = 13, -2*p - y - 5 = 0. Put p, -5, -3\/7 in descending order.\nAnswer: -3\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -1242*w + 83422. Give q(67).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -29478 + 29737. Solve g + n - 259 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - 4*u**2 + 3*u - 7. Let p be j(-5). Suppose -p*c - 4*v - 17 = 0, -3*v = 6*c - 2*c + 18. Let z = -699 + 2084\/3. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.83 + -788.83. Let f = x - -786.253. Let r = 0.746227 + f. What is r rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - -21 - (65 - 61) - (7 - (-5 + 4))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + 16. Let r = x - 21. Sort r, -3\/8, 0.1.\nAnswer: r, -3\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**2 + 35*w - 32. What is a(13)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 6 + n**4 + 0*n - 4 - 5*n**2 - 3*n + 3*n**2 as d*n + j*n**4 + u*n**3 + m + a*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24544 = -3*u + 5*g, 31101 + 1611 = 4*u - 4*g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 - 7. Suppose z*n - 12 = -3. Factor -4 - 16*l**n - 6*l**4 + 4 - 14*l**2 - 4*l.\nAnswer: -2*l*(l + 1)**2*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (404 - 404 - 166*z**2)*(-3 - 2 + 4)*(-z**3 + z**3 - z**3).\nAnswer: -166*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.091 or 0.016?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o**2 + o. Let w(t) = -4*t**2 - 3*t. Determine -5*h(r) - 3*w(r).\nAnswer: 2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48721570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 3*u = -19, u = 3*v + 4*u - 15. Suppose -v + 28 = 2*b. What is the common denominator of -99\/16 and ((-850)\/119)\/(b\/(-35))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7504214cm to kilometers.\nAnswer: 0.000007504214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**2 - 19809070*f + 19619962713245.\nAnswer: 5*(f - 1980907)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11 - -10. Let r(g) = 5*g + 1. Let p be r(d). Put 2, p, 3 in ascending order.\nAnswer: p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 596 + -584. What is the remainder when 59 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + z - 2*z)*(1 + 3 - 2)*(-6*z**2 - 13*z**2 + 4*z**2).\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 318531 is divided by 886?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*p + 171 = -0. What is the smallest value in -1\/6, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**5\/7 - 10056*b**4 - 823147386*b**3\/7 - 3166331478860*b**2\/7 + 371484560389800*b\/7 - 1085934467178000\/7 = 0.\nAnswer: -11770, 3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/25)*j**(-2\/13))\/(j**(2\/3))**(1\/8))**(1\/39) assuming j is positive.\nAnswer: j**(-613\/152100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 44 = -2*o - 181, 0 = -0*o + 37*o + 37 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1669.8000636 - -1669.8. What is f rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h + 1. Let w = 8 - 9. Let b(a) = -2*a**2 - a - 1. Let p be b(w). Let s(u) = u. Calculate p*s(l) - 2*j(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 60062308 and 2272?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 3*q**3 + 9245757*q**2 + 55474461*q + 83211651 = 0.\nAnswer: -3081913, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -79152.13 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3549 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-26) + (-41)\/(-13). Suppose -g*h + 7 = -5*i - 13, h - 12 = -i. Solve -1 = -3*c - h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -230 (b) 2\/577 (c) -9\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 4387005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 38494139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/2, 0.311, 3, 2\/9, -42, 6?\nAnswer: 0.311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -284, -418, -574, -764, -1000, -1294, -1658?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4*v**3 + 12*v - 3*v**2 - 12 + 0*v + 8*v**3. Suppose 5*s - 21 = y, -4*y - 5*s + 21 = -4*s. Let a be n(y). Round a to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1100011010111000001100 (base 2) in base 7?\nAnswer: -36450121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21303*d**3 + 2*d**2 - d**2 - d**2 - 21302*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6582788 to the power of 1\/2, to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -431.53 rounded to 0 dps?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -158*k = -376*k + 6250932. Does 198 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/12*88\/66?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 13263817 (base 9) to base 7\nAnswer: 106366036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/2*(3 - 1). Suppose v + 5 + 2 = 3*k, -2*k = -3*v + 7. Suppose -u - 2*u - 11 = -4*t, -16 = -v*t + 3*u. Solve -3*d + t - f = 4*j, -3 = -3*d - 5*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + 4. Let d be (-1 - (-6)\/2)\/(0 - -2). Let p be (-3 - 0) + 6\/(-2 - d). Which is the closest to f? (a) 2 (b) -2\/17 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2332587?\nAnswer: 3, 17, 45737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzc when three letters picked without replacement from {q: 1, z: 1, v: 1, o: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 1094, 5, 3 in decreasing order.\nAnswer: 1094, 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 90\/(-50)*(-8120)\/168?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -152.\nAnswer: -1\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -86518, -86524, -86532, -86542?\n\"Answer: -p**2 - 3*p - 86514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -0.057 (b) -0.7 (c) -1\/20 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15699 + -753595\/48. What is the common denominator of 151\/264 and p?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 111137, 222262, 333387?\nAnswer: 444512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is n in -n**4\/4 - 5*n**3\/2 + 11*n**2\/4 = 0?\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.04 - 0.14. Let i(c) = -c + 11. Let u be i(9). Let a be 272\/504 + (-6)\/14. What is the third smallest value in u, f, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11b4 (base 16) in base 4?\nAnswer: -1012310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -2*d**2 - 4*d - 1. Let w(k) = -3*k**2 - 8*k - 3. Let c(g) = 5*b(g) - 3*w(g). Calculate the smallest common multiple of 11 and c(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(220) - -2*sqrt(220)*5)\/(sqrt(35)\/sqrt(63)))**2.\nAnswer: 47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 20*a - 74. Give b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 6:37 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of j**3\/3 - 1. Let n(f) = -5*f**2 + 2*f**2 + f**2. What is n(o(s))?\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1320051*0.4.\nAnswer: 0.05280204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 147 = 123. Let r be (7\/(-4) - 4\/16)\/(-1). Let z(p) = 9*p**3 - p**2 + 6*p**r + p + 5*p - 10*p**3. Calculate z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -98 * -0.1\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 28 + -26. Solve -b = -4*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that u**3\/9 - 1681*u**2\/9 + 802384*u\/9 - 25893568\/3 = 0.\nAnswer: 129, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 - -10. Suppose -3*b + 13 = g. Suppose s = -b*s + 30. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 9*k**2 - 4 + 1 + 2*k**3 - 3*k**3 - 7*k. Let g be o(8). Suppose -4*d - 3*t = -d - 12, g*t - 4 = 3*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {x: 1, m: 3, d: 1, f: 3, p: 2, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes before 12:59 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 - 4*c**2 + c - 4. Let s be z(4). Suppose i - 3*f + 6 = s, -f = -2*i - 4 + 12. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134960189 divided by 7?\nAnswer: 19280027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 153 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 201690200?\nAnswer: 2, 5, 1008451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1360\/(-5304)*(-195)\/675\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9907338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15*((-11)\/(616\/2))\/((-54)\/(-72)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-45*n + 17*n - 16*n)*(0*n**3 - 4*n**3 + n**3) - 15*n**4 - 262*n**3 + 261*n**3 + n**4.\nAnswer: 118*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1\/320 + -967\/2240. Suppose -5*w = y - 16, 5*y + 4*w - 9 = 29. Suppose 0 = -y*c + c. Is c < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f - 4*f - 4*f)*(-3*f**2 + 3*f**2 - 2*f**4) - f**5 + 2*f - 2*f + (8*f + 233 - 60 - 7*f)*(7*f**4 - 2*f**4 - 3*f**4).\nAnswer: 19*f**5 + 346*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 12 = -5*p, -2*o = -3*p - 16. What is the units digit of (0 + 2)*o + 115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7597816?\nAnswer: 2, 97, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**3 - 5*c**2 - 3*c - 1. Suppose 6 = l + 2*k, 0*k = -4*l - 3*k - 1. Let p be m(l). Sort 1, 3, p.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 42 times 3.8\nAnswer: 159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.105 and -44585.6?\nAnswer: 44585.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is y in y**4 + 1042*y**3 + 271441*y**2 = 0?\nAnswer: -521, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of 6*b**2 + 0*b - 1\/6*b**4 + 0 - 1\/3*b**3 + 1\/20*b**5. Let m be t(2). Solve -3*r - 13 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 39 + -38.997. Let f = -1.643 + v. Let k = f - 0.36. Sort k, -0.06, -3\/2 in decreasing order.\nAnswer: -0.06, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 9366 divided by -6\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00215 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1169, -9488, -32059, -76004, -148445, -256504, -407303, -607964?\nAnswer: -865609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 6*z = 4*c + 3, 3*c - 4*z + 4 = 0. Suppose 0 = 4*x - 0*d + 4*d + 287992, x - 2*d + 72004 = c. What is x rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 61*z + 23599. Is f(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4219.\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -26693256 or -133466283\/5?\nAnswer: -133466283\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/8)\/((-228)\/48)*-2. Let q(v) = -v + 8. Let m be q(6). Sort b, m, -5.\nAnswer: -5, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c + 0*c - 2*c)*(4 + 3 - 6) + 137 - 270 - c + 138.\nAnswer: -3*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 66561657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -231546 divided by 5513?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -t - 24. Let l be t\/(-36) + (-652)\/(-18). What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 7, u: 4, v: 3}. Give prob of picking 1 o and 1 u.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t**2. Let n(b) = -6*b**2 + 15*b - 15*b. Determine n(a(k)).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 714300, 1428557, 2142814, 2857071, 3571328, 4285585?\nAnswer: 4999842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -261515 and -0.067.\nAnswer: -261515.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 + 6. Suppose n + 2*t - 72 = 0, -o*n - t + 144 = 4*t. What is the greatest common factor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - -6 - -5)\/((-52)\/494)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 26, 0, -54, -142, -270?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8201506 at most 57410532\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 - 12*q + 23. Let f be z(10). Suppose -2*j = -g, 4*j = f*g + 1 + 1. What is the units digit of (-3497)\/(-26) + j\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -22*l + 19*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*l + x, -3*l - x + 14 = x. Suppose 0 = -2*u + u + 2. What is the remainder when u is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 - 3*j**2 - 4*j + 5. Let z be g(4). Let u be 0 + 1 + 1 + -1. Let w(s) = s**2 - 7*s + 10. Let l be w(5). Put u, l, z in increasing order.\nAnswer: l, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-3\/2))**(-42) assuming a is positive.\nAnswer: a**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*(-18)\/24*6\/27. Which is the second biggest value? (a) -0.1 (b) 0 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 385 + -385.2. Let j be 1\/5*8\/4. Which is the closest to 1\/2? (a) h (b) j (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -38*f - 4. What is the remainder when 100 is divided by m(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 261316?\nAnswer: 1306580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11845439?\nAnswer: 37, 389, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -98 + 48.9. Let v = q - -44. Let f = v + 5.2. Is -0.8 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*q**3\/2 + 52285*q**2\/2 - 140725*q - 166880 = 0. Calculate q.\nAnswer: -1, 32\/5, 2086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {g: 15, e: 4}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 34c653 (base 13) in base 15?\nAnswer: 19c049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-13 + 15 - 21)*(3*v**2 + 0*v**2 - 13*v + 9*v) + (0*v**2 - v**2 + 2*v**2)*(3 + 4 - 5) in the form j*v + p + s*v**2 and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21262\/117425 + 8\/10675. Let y = -5\/36 - 1\/9. What is the biggest value in h, -2\/17, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in -t**5\/5 - 349*t**4 + 10494*t**3\/5 - 21004*t**2\/5 + 14008*t\/5 = 0?\nAnswer: -1751, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2495534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4154603545066 + -12\nAnswer: 4154603545054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -170b74 + 5?\nAnswer: -170b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (175*j + 5 + 0 - 9 + 7)*(-2*j + 4 - 4).\nAnswer: -350*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from otoboxbrbbbxtb. Give prob of sequence xr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/y**(2\/9)*y*y)\/(y\/((y**2*y)\/y)))\/((y\/(y\/y**(-2)*y)*y)\/(y**(-4)\/y)))\/((y*y*y**(2\/5)*y)\/(y*y**(-4\/9)))**(-27\/7) assuming y is positive.\nAnswer: y**(3701\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 8*y - 72 = 0. Let s = 4 + -3. What is the remainder when 16 is divided by (-18)\/s*9\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14165 - -20013. Is 34 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-20))\/((-18)\/(-15)). Let n = 71 - 70.6. Which is the closest to q? (a) n (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*r + r + 4*r)*(-3 - 3 + 4)*(-110*r**2 + 271*r**2 - 132*r**2) to the form t*r**3 + s*r + z*r**2 + a and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmi when three letters picked without replacement from mmfffimmfimmii.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m**2 - 4*m**2 - 11*m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 198603 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 9 = -4*a - 4*a. Factor -5\/4 - 7\/4*b**2 - 11\/4*b - 1\/4*b**a.\nAnswer: -(b + 1)**2*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22872633, -45745264, -68617895, -91490526, -114363157?\nAnswer: -137235788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (l + 0*l + l)*(0*l - l**2 + 0*l) - 10444*l - 6340 + 10459*l + l**3 + 7*l**2 + 6580.\nAnswer: -l**3 + 7*l**2 + 15*l + 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 90*i**2. Let d(p) = p - 6. Let g(f) = 4*f - 33. Let k(h) = 11*d(h) - 2*g(h). Determine k(w(u)).\nAnswer: 270*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 618?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 + 104 = 69*b - 65. Solve 5*a = i, i + b*a = -0*i + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 72.24605 seconds?\nAnswer: 72246.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 88.10191 kilometers in micrometers?\nAnswer: 88101910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 4) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 18*x**5\/7 + 1135290*x**4\/7 + 5297732*x**3\/7 + 6559012*x**2\/7 + 396422*x + 378402\/7 = 0.\nAnswer: -63067, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 12 + 9*k + 2*k - 13*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5668*o - 1 + 0 - 5008*o + 1.\nAnswer: 660*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000058363 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-826 - -812) + (0 + 1 - (-2 + -67)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/358680 and 115\/5712?\nAnswer: 12195120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -59*f**2 - 4962*f - 496. Determine v(-84).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-37*l + 364*l**2 + 37*l - 1314*l**2)*(-4*l**2 - 2*l**2 + l**2).\nAnswer: 4750*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the first derivative of 58 + 0*f**4 + 8*f**3 - 3\/7*f**7 + 0*f + 7\/5*f**5 + 0*f**2 + 0*f**6. Find the third derivative of u(v) wrt v.\nAnswer: -360*v**3 + 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-18)\/27*(0 - 3). Suppose 0 = b*r - t + 4, -3*t + 5 = 2*r - r. Let k(a) = a + a - 2*a**2 + 1 - a**2. Determine k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -138*c - 4479. Give b(-36).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 548140 (base 11) to base 14\nAnswer: 18aa5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9037 divided by -1.\nAnswer: -9037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*(h\/(h**(4\/5)\/h*h))\/h)\/h*h\/((h\/h**(-5\/4))\/h)*(h\/(h\/(h\/(h**(-2\/27)*h)))*h)**21)**(4\/5) assuming h is positive.\nAnswer: h**(3871\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 227119 and 5930.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3 times -18316002\nAnswer: -54948006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1815)*1 - sqrt(1815))*3)\/(-1*(sqrt(3)*1 + sqrt(3))*-3)*6*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t**4 - 383207*t**3 - 3576853*t**2 - 894233*t + 2299410 = 0. Calculate t.\nAnswer: -9, -1, 2\/3, 127745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 60094488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -3*u**2 + 16*u + 1. Let c be f(5). Suppose 7*s = c*s + 1. Solve 2*a = -s - 3, -1 = -g + 3*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6*(-19)\/(-798)*7\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 3170982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 65275 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 - 9*y**2 + 11*y - 5. Let v be j(8). Let k be 1032\/18 + (-2)\/6. What is the greatest common factor of k and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/11 in -18, 3\/4, 0.19, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-114)\/(-684)*255*4\/(-4))\/((-5)\/4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2 - 1935*f + 24648.\nAnswer: 3*(f - 632)*(f - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 39*c - 3397*c**2 + 20039*c**2 - 39*c as r*c + n*c**2 + o and give n.\nAnswer: 16642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*f + 44029 = 43657 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + -20376?\nAnswer: -20403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/22)\/t)**(1\/13) assuming t is positive.\nAnswer: t**(-23\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 213*q**2 + 8*q - 414*q**2 + 213*q**2 to the form i + v*q**2 + y*q and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19150 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -5*n + 3. Let q be 0*-2*n\/(-16). Suppose t + 70 = 2*c + 15, q = -4*t - 4. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o + 20. Let r be q(-8). Suppose -a - 3*a = -r. Solve 2 = -4*y - f + a, 9 = 5*y + 4*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 + 6*m**2 - 7*m - 1. Determine f(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-1)\/(-6)*-4*(-30)\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-3)\/6)\/((-1)\/(-8)). Let s(j) = 7*j - 11. Let u(c) be the third derivative of -c**4\/8 + 5*c**3\/6 - 37*c**2. What is n*s(r) - 9*u(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 51699994 to the nearest integer?\nAnswer: 7190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, 7, 48, 137, 292, 531, 872, 1333?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 325805 (base 9) to base 11\nAnswer: 1231aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5.62 times -2.4425?\nAnswer: -13.72685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 635 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -504*f - 14533. Determine o(-29).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 1 - 1)*(z + 0*z + 0*z) - z + 0 + 0)*(0 + 0 + z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9.09 - -8.89. Which is the nearest to h? (a) -0.4 (b) 0.26 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3\/7 - (-1053)\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 221*a - 29. Let o(h) = 1137*h - 146. Give 2*o(g) - 11*p(g).\nAnswer: -157*g + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2*n**2. Let i(d) be the first derivative of 37*d**2\/2 - d - 74. What is i(k(u))?\nAnswer: -74*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*k - 99 + 495 = 0. Which is smaller: k or 23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (174\/319)\/(81\/2079)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 8*n - 2186 = -9*n, 4*u + n - 2913 = 0. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 43312 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + f + 33 = 28, 3*f = -3*q. Let l = -4 + 6. Suppose -l*v = -321 - q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 5*w, 0*w - 5*w = o. Let c be (-5)\/4 + w + 1. Let b(y) = y - 4. Let z be b(5). Is z at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2844 - 2846. Sort a, -9, 2, -1.\nAnswer: -9, a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**6*q**(1\/5))\/(q**(-2\/15)*q\/(q**8*q)) assuming q is positive.\nAnswer: q**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - (-33 + 35)) + -33 + 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -46*i**2 + 44*i**2 + 4 - 12 - 2*i**4 + i**3 + i**4 as m*i + u*i**2 + j*i**3 + b + v*i**4 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3952, -7544, -13532, -21916, -32696, -45872?\nAnswer: -61444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 45 - 19. Let j be 195\/u*(-6)\/20. Let h = 19\/12 + j. Which is the closest to h? (a) 5 (b) 2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 889121 - 889117. Let v = 0 - 3. Let c = v + 4. Solve -h*t + 5 = c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 20 - 1 = -3*v, -3*v + 4*l + 25 = 0. Suppose -4*o + 2*o - 20 = -3*x, 0 = -v*x - 3*o. Calculate the least common multiple of 26 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -11b - -3?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 232232 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*n - 193 = -48 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -45 = -y - 38 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -286 or -13437\/47?\nAnswer: -13437\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -19) + -30 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (27 - 28)\/(2\/94). Let l = v - -92. Suppose -48*b + 93 = -l*b. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 - -3c443b?\nAnswer: 3c4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eefffeeffffeeiefe. What is prob of sequence ffi?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -43*n**6 + n**2 + 20.\nAnswer: -5160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 59539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61 + 99 = 4*c - 3*f, 4*c - 2*f = 36. Let m = -3 - -3. Suppose 4*s + 4 = g - m*s, 3*s - 35 = -4*g. Calculate the highest common divisor of g and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -77\/3 - -26. Suppose 2*j + 6 = 4*b + 2, -j - 3*b = -3. Factor -1\/3*w + j - l*w**2.\nAnswer: -w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 97 - 96. Let z be (-16975)\/14*-4*p. Suppose -14*b + 4*b = -z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 55 + -5 - (-1 + 16 + -1 + -490 + 472)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 + 17*w**2 + 7. Let o be r(-17). Let a(h) = -h**3 - 18*h**2 - 15*h + 10. Let k be a(-17). Let z = o - k. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 56 = -3*k. Let p = k + -9. Suppose -3*o = -4*t - 0*o + 42, 2*o = -t + p. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 270286479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 17461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*q + 8 = 0. Suppose q*r + 109 = 3*o, 5*o = 4*r + 154 + 67. What is r rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1616, 159.06, -3, 2?\nAnswer: 159.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -50*d - 5. Let z be i(-6). Is (4 + 0)*z\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(9\/2)*q)\/q**(1\/24) assuming q is positive.\nAnswer: q**(131\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 41\/3 and 3741 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -13*m - 168. Let r(j) = 90*j + 1151. Let z(q) = -41*b(q) - 6*r(q). Determine z(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -208\/197 + 5171\/18518. What is the common denominator of g and 109\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 300 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be 24\/(-30) + (-2)\/(-2). Let n = -0.2 - -0.1. Which is the nearest to 2? (a) h (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1460\/(-8)*4\/5. Let d = 5 + -7. Let t be (d\/w)\/(1\/2). Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/80)\/(2\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43836 is divided by 79?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -96 + 89294?\nAnswer: 891a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4*36\/8 + 5. Suppose j - 27 + d = 0. Solve 0*f - 10 = 2*f + 3*g, j*f = 2*g + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 -5 + 5 + 2*b**2 + ((-2 - 3 + 6)*(1 + 1 + 0) + (2 + 2 + 5)*(7 + 2 - 2))*(7*b - b + 4*b)*(31 - 17*b - 31) to the form a*b + w + h*b**2 and give h.\nAnswer: -11048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -39\/155474 and 79\/3108.\nAnswer: 6529908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 165445 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 152557 (base 10) in base 8?\nAnswer: 451755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37978 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1928.735 centuries in years?\nAnswer: 192873.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84*d - 4 = -86*d. Suppose -d = -8*b + 30. Suppose 6*c - 8*c + b*y + 20 = 0, -5*c = 4*y - 36. Let n(s) = s**3 - 8*s**2 - 2*s + 11. Calculate n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 1 + 0)*(-5*f - 3*f + f)*(0 - 1 - 1) to the form q*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 13) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -428392.162 to the nearest ten.\nAnswer: -428390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/14*(-4)\/((-12)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 40, 65, 56, -5, -136, -355, -680?\n\"Answer: -3*t**3 + t**2 + 43*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 87 - 87. Sort 1, -4, 3, u.\nAnswer: -4, u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 5*s + 27 = 0, 4*q = -4*s - 17 + 45. Which is the second biggest value? (a) 3 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/40 and -7\/932?\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -977 or -2927\/3?\nAnswer: -2927\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together -19469 and -384.0178785.\nAnswer: -19853.0178785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 6b2 (base 14) to base 15.\nAnswer: 5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1045, -9287, -31939, -76207, -149297, -258415?\n\"Answer: -1201*z**3 + z**2 + 162*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2*7.2697\nAnswer: -14.5394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12\/7 in -2, 5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 9495.164g in tonnes?\nAnswer: 0.009495164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4)\/10)\/(2\/(-10)). Suppose 0 = -0*i + v*i. Put -1, -5, i in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -5970, -23778, -53458, -95010, -148434?\n\"Answer: -5936*r**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 96423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -11. Suppose -q - 2*t + r = -4, -5 = -4*q - 3*t. Let f(m) = 3 - 2 - 2*m - 3. Let x(v) = -1. Determine q*x(b) + f(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-220*m**4 - 237*m**4 + 187*m**4)*(2*m - 6*m + 11*m)*(-3 + 3 - 3).\nAnswer: 5670*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 20 (c) -0.2 (d) 110 (e) -68\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 31620736 divided by 1976296\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 10) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 23 = -4*z, 4 = -4*w + 2*w - 5*z. Suppose w*b = -7*b + 320. Calculate the greatest common divisor of 256 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18193055134\/2144733 - 2\/714911. Let j = t - 75734\/9. Let l = 3203\/45 - j. Find the common denominator of l and 9\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29654 = 29544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {m: 1, n: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6452, 6513, 6574, 6635, 6696?\nAnswer: 6757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5935, -9884, -13803, -17686, -21527, -25320, -29059?\n\"Answer: o**3 + 9*o**2 - 3983*o - 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -95 - -94.99. Let p = -18 + 14. Which is the second biggest value? (a) p (b) m (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -h + 5*u, -3*h + 0*u - 5*u - 72 = 0. Let y = -16 - h. Suppose -2*n + 454 = -4*m, -4*n + 932 = -y*m + m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, 50, -1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*m + 47. Let h = 20 - m. Let t(p) = -7*p**2 + 6*p + 5. Let o(z) = 6*z**2 - 5*z - 4. Calculate h*o(u) - 4*t(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 39.7583 to 1 decimal place.\nAnswer: 39.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1064 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -550078.\nAnswer: -1\/550078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -80*k**2 - k + 1. Let f be r(1). Let l = 3794 + -2040. Let z be (-24)\/88 - l\/22. Is z equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of n**8\/1176 + 8*n**7\/735 + 13*n**6\/420 - 11*n**5\/105 - 8*n**4\/21 + 32*n**3\/21 + 48*n**2. Suppose b(z) = 0. What is z?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11760\/160*-2*5*56\/(-420).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 237512?\nAnswer: 2, 11, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 122613 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5207554.\nAnswer: 2, 11, 236707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4278*a*i**3 - 15994*i**3 with respect to a.\nAnswer: 4278*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 840*s - 15 = 842*s + 25 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5304 + 5306. Solve -48 = 2*l + 2*d - 40, d = -r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 39.83 + -39.79. Are 22.9 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-4*sqrt(95) - (sqrt(95) - (-3*sqrt(95)*-3 + sqrt(95))))\/(-4*(sqrt(405) - (1*sqrt(405) + sqrt(405))*2)).\nAnswer: 5*sqrt(19)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gfxnnxnngfggfnnngnnn. Give prob of picking 3 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be -197205*2*(-4)\/(-6). Let u(x) = x**2 + 472940. Let p be u(0). Let k = y + p. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26283, -103711, -232759, -413427?\nAnswer: -645715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 - -24. Suppose 5*o + 21 = -2*j, 4*j + 3*o + 3 = -4. Let b = t - j. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -656801, -2627106, -5910947, -10508324, -16419237?\nAnswer: -23643686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 906, 56, 3 in ascending order.\nAnswer: 3, 56, 906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**3 + 12*v**2 + 20*v + 28. What is the smallest common multiple of q(-10) and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 y, and 2 r when four letters picked without replacement from {q: 1, r: 3, m: 4, j: 1, y: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + ((-3395)\/(-55))\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -658.6313 to the nearest integer.\nAnswer: -659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 307\/11 or 27?\nAnswer: 307\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-2352)\/(-966)*23*(0\/1 - (-51)\/34)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.78 - -2.12. Let q = s - 3. Which is the fourth smallest value? (a) -4 (b) 2\/3 (c) -1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 - d + 48. Let c be o(6). Solve 420*q = 419*q + c for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-6))\/((-21)\/42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*w = -1100, 4*f - 28*w + 1090 = -31*w. Sort f, 1, 4 in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 62 + 127 = 3*i, -2*q + 192 = 2*i. Find the first derivative of 27 + 90 + 2*j**2 + 95 - 42 + q*j wrt j.\nAnswer: 4*j + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 + 17. Solve x*d = 4*d - 4*k, d = -2*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -189.27 - -188.87. Which is the second biggest value? (a) -0.07 (b) -2 (c) o (d) -2\/9 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*q = -108 + 23. Let m be (-1)\/q - 1\/(120\/249). Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -8*u + 1. Let d be j(-7). Let o(r) = r**2 + 115*r - 5719. Let k be o(38). Calculate the highest common divisor of d and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4\/3*-3)\/(5 + -6). Suppose -c = -5*m - 2*c + 848, g*m = -5*c + 691. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 2 = 31*l - 30*l, 4*y = 4*l + 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 193831\/250580 + (-2)\/85?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o**3 + 415*o**2 - 5075*o + 16905 = 0.\nAnswer: 7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49\/(-21)*-1 - 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 56\/(-8)*(2 + (-100)\/49)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of 0*g - 133\/3*g**3 - 3\/7*g**7 + 0*g**6 + 0*g**4 - 56 + 2*g**5 + 0*g**2. Find the third derivative of i(k) wrt k.\nAnswer: -360*k**3 + 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.235759 decades in millennia?\nAnswer: 0.05235759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 6*i**3 - 24*i**2 + 24*i + 1. Let t(a) = -5*a + 4*a**2 - 20 - a**3 + 20 + a**2. Let x(z) = 11*t(z) + 2*y(z). Calculate x(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(56\/75) + (-15)\/40.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/((a**(-12)*a*a)\/a))\/(a\/(a*a**(-2\/7))))\/(a**(-3))**45)**(1\/53) assuming a is positive.\nAnswer: a**(1027\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3459 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: Is 1066 greater than 1\/241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**(-1\/19)*i)\/(i\/(i*i**(24\/5)))*(i\/(i*i**2\/i)*i)**(4\/15))**(-2\/7) assuming i is positive.\nAnswer: i**(-1282\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 15 - (-9)\/(4 - 7). Suppose -8*p = -n*p + 136. Let f(j) = j**2 + 2*j - 3. What is the smallest common multiple of f(-5) and p?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -124*c*f**4*n**2 + c*f**4 - 100*c*f**2*n - 2*n**2 wrt f.\nAnswer: -2976*c*f*n**2 + 24*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor y**5 - 27*y**4 + 132*y**3 + 160*y**2.\nAnswer: y**2*(y - 20)*(y - 8)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -k**2 + k**2 - 207*k**3 + 289*k**3 - 81*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 15 and 13462.\nAnswer: 201930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 5:03 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {d: 9, i: 5, u: 1, g: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (8\/(-6))\/((-4)\/6). Let y = 109 + -114. Sort o, y, 1 in ascending order.\nAnswer: y, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 83905914 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*x = 22*x - 13*x + 67080. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of i**2*k*o*x**2 - i**2*k + i*k*o*x**2 - 4*i*k*x**2 + 5*k*o - 2*k*x**2 - 40*x wrt o?\nAnswer: i**2*k*x**2 + i*k*x**2 + 5*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*s - 1. Let i(z) = -16 + 1636*z + z**2 - 1641*z + 10. Determine i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 58 - 58. Sort c, 7, -2 in decreasing order.\nAnswer: 7, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/1)\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*d - 1. Sort -1, d, 5 in descending order.\nAnswer: 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -504021 + 36?\nAnswer: -503652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1097437 is divided by 2202?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of 0*c**5 + 1\/6*c**4 + 0 - 1\/42*c**7 - 1\/15*c**6 + 0*c**2 + 1\/6*c**3 - 3*c. Factor f(u).\nAnswer: -u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -485, -486, -487, -488, -489?\n\"Answer: -v - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 475 or -52517?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 44 - -153024?\nAnswer: 153101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 4 = 2*k. Suppose -899998 = -n - v, -6*n + 2*n + k*v = -3600008. Round n to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -49, -1, 29, 0 in descending order.\nAnswer: 29, 5, 0, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = -l + 5*l - 3*p, 4*p + 31 = -l. Let y(m) = -16*m**2 - 20*m - 20. Let k(u) = -3*u**2 - 4*u - 4. Let s(f) = l*k(f) + 2*y(f). Factor s(i).\nAnswer: (i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/208572 and 23\/18.\nAnswer: 625716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12540405144 + -4?\nAnswer: 12540405140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1697701.\nAnswer: 1697701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4716.621978 - -4712.242. Let a = -4.38 - f. Round a to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 228492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -20*c**3 - c**2 - 5*c - 6. Let i be d(-2). Calculate the highest common divisor of 64 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*g + 614 = 242*g + 1874 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -71*v + 263*v = -108*v - 1500 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -90*j + 36*j + 73602. Is 47 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 2*b**3\/5 + 14084*b**2\/5 + 4925002*b - 599140272\/5 = 0. Calculate b.\nAnswer: -3533, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**2 - 8*t - 11. Calculate a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -525347920 divided by -131336980?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((((sqrt(304) + sqrt(304) + -3)*5 - sqrt(304))**2 - (sqrt(304) + -5 + (sqrt(304) + sqrt(304) + -3 - sqrt(304)))**2) + 1).\nAnswer: -117850 + 4760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4 - ((0 - 2) + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 4*c - 3*r + 2*r, 0 = -3*c + 5*r + 7. Calculate the smallest common multiple of c and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 19383.3861 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -378 + 388. What is the greatest common factor of 160 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 PM and 11:05 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 + 5*l - 4. Let b be o(4). Let k = -90 + 94. Suppose v + 3*x - 30 = b, -249 + 42 = -5*v + k*x. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -953 - -7688.\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**2 - 9*w - 5. Determine x(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 38585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 968183175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((12\/25)\/((-30)\/(-5550)*37))\/((-9)\/150)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-255)\/(-102)*(-18)\/(-5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4058367.\nAnswer: 3, 499, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -785549 * 0.1\nAnswer: -78554.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76072 = -7*a + 18805. Let n be 1 + a - (-3)\/(-1). List the prime factors of n\/(-56) - (-2)\/(-16).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -0.04169, -2\/15?\nAnswer: -0.04169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-4) + (-70762)\/(2 - 4). Suppose 6*m = 26*m - f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 207\/41 or -0.1?\nAnswer: 207\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1765*j + 141*j + 397*j.\nAnswer: 2303*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, -4, -6, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*x + 2422163 = 429081. List the prime factors of x.\nAnswer: 2, 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -267402, -267400, -267398, -267396, -267394, -267392?\n\"Answer: 2*t - 267404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1\/368 + -1467\/1840. Which is the nearest to -10? (a) 0 (b) k (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 2. Let d(j) = -10*j + 21. What is -d(o) + 4*w(o)?\nAnswer: 14*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1553789491 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * -231.\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (40 - 16 - 131)*(2578*j - 1293*j - 61 - 1286*j) in the form r*j + q and give q.\nAnswer: 6527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - 19.5. Let l = j + 24.39. Let t = 0.11 + l. Is t at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 3*q = -8 - 4, -h = 4*q + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 173512 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqyqqbynrq. What is prob of picking 2 q and 1 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -300*n**4 - 587*n**3 + 205349*n**2 + 14 wrt n?\nAnswer: -7200*n - 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) 0.4 (b) -0.1 (c) -17 (d) -55 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 4*q + 2*q**3 + 2*q**2 + q**2 + 3*q**3 - 3 - q**2. Let a(b) = 0*b**3 - 1 - b**2 - 3*b - 4*b**3 + 3. Let k be (1 - 0)\/(1\/3). Determine k*v(x) + 4*a(x).\nAnswer: -x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = j + 5*v, 5*v - 20 = v. Let u(r) = 7 - 3 - 4*r - 3 + 3*r. Let y(a) = -2*a + 7. Let g(s) = j*y(s) + 3*u(s). What is g(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 3 - x + 0*x - 2. Let d be y(-5). Differentiate 0 + 4 + 2*u**3 - d wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(0 + -1)*((-236826)\/(-36))\/223?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/(-2)*-1*2. Let v be 5\/k - (-7)\/21. Let c(w) = w**3 - w + 1. Determine c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*m**2 + 3730576*m + 261159920 = 0. Calculate m.\nAnswer: -70, 932714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1075, 1\/2, 0.45?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2 + 1 + ((2*sqrt(88))\/sqrt(8) - (-1 + sqrt(1331))))**2.\nAnswer: -72*sqrt(11) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 420\/54 - 4\/(-18). Suppose -3*g = g - c. Let q be (0*(-2)\/6)\/g. Solve q*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -291, 5\/8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 31340 divided by 5\nAnswer: 6268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -2 + (-309 - -324 - (2 + 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*q - 1017 + 775 = 5*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 113 + -115. Let p be (40\/50)\/(c\/10). Let d(s) = -3*s**2 - 18*s - 3. Let i be d(p). Solve 0 = m + j, 2*j = 3*m + 2*m - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19096 divided by -11?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93 is divided by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -15647, -15251, -14565, -13589, -12323?\n\"Answer: 145*u**2 - 39*u - 15753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (568\/6)\/((-16)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 810 a factor of 3026822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40264 is divided by 19757.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1716 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*f**3 + 0*f**3 + 3*f**3 + 4*f**3 - 25*f + 25*f + (0*f + 3*f - 5*f)*(-7*f**2 + 3*f**2 + 2*f**2) + 0*f**3 + 5*f**3 - 2*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(-9))\/(((-11)\/6)\/11). Suppose 4*g + 2*p - 6*p - 32 = 0, 5*g + u*p = 13. Suppose -2*s - g = -3*s. Calculate the highest common divisor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 8) + 19 + (236 - 233).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8391804 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -126 + (30 - (14 - (13 + -12)))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 0\/1)\/1. Let q = 283 + -113. Let h be 6\/q*(0 + -5). Which is bigger: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*w**2 - 156*w**3 + 27*w**3 - 22*w**2 + 10*w**2.\nAnswer: -129*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.04 and 2.24.\nAnswer: 0.0896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 105*z**2 - 2. Let g(r) = 5*r + 2. Calculate j(g(y)).\nAnswer: 2625*y**2 + 2100*y + 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 25412 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 + 10*l + 1 + 14 - 13*l. Let k be m(-5). Solve -k*r - i = -3, -4*i - 7 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1739 - -1739.04. Is p <= 350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -654 or -662?\nAnswer: -654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 552.0926l in millilitres?\nAnswer: 552092.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 35794*((-36)\/(-24))\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of -13*a**6\/180 + 125*a**3\/3 + 17*a**2 + 1. Let z(v) be the first derivative of o(v). Let r(g) = -7*g. What is r(z(j))?\nAnswer: 182*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the second derivative of -q**7\/8820 + q**6\/840 - q**5\/210 + q**4\/4 + 8*q. Let i(h) be the third derivative of p(h). Factor i(x).\nAnswer: -2*(x - 2)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -105122, -105121, -105120, -105119?\n\"Answer: p - 105123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 722021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8458705.\nAnswer: 5, 19, 269, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 41162 and 803?\nAnswer: 3004826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1050397 is divided by 317?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 952943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170*i + 177*i = 44091 + 16235. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:00 PM and 7:33 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**2 + 2*j + 6. Let q(d) = 2*d**2 - 3*d - 7. Give -3*q(z) - 4*u(z).\nAnswer: -2*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**3 - 4*x**2 + 1. Suppose -3*a = 2*s + 3 + 12, -4*a - s = 15. Determine u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1118 and 373068?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -749 + 1769. Is w a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 16 + 11)*(-w**4 + 3*w**4 + 0*w**4) + 2*w**4 + 2*w**4 - 5*w**4.\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 26 and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -3973 bigger than 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4127010847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1ce + 24636?\nAnswer: 24815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3.3578691 rounded to three dps?\nAnswer: -3.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 21 and -4\/639?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 3*t**2 - 13*t + 37. What is the remainder when v(5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 357878, 357881, 357884, 357887, 357890, 357893?\nAnswer: 357896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -2\/9 (c) -119 (d) 0 (e) 11 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -4640.975 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*n**2 - 261747850*n - 3425596848981125.\nAnswer: -5*(n + 26174785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/28*(-14)\/(-24). Let h = 136 - 137. Let s = 401 - 405. What is the biggest value in j, h, -0.1, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -10. Let a = -1 + b. List the prime factors of 7\/((-28)\/(-8))*a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(171))\/sqrt(9)*5 - (-3 + sqrt(19) + sqrt(19) + sqrt(228)\/(sqrt(48)\/sqrt(4))))**2 + 0.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -9338 (base 10) to base 5.\nAnswer: -244323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.08 - -0.98. Let t = w - 1. Let o = 7 - 11. Put 5, o, t in decreasing order.\nAnswer: 5, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 12:36 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 - 7*h**2 + 8*h + 3. Is c(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1605483786?\nAnswer: 2, 3, 3041, 87991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 7*o + 4. Let b = 0 + 6. Let n = 13 - b. Is i(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*(u*(u\/(u\/(u*((u*(u*u\/u**(1\/19))\/u*u)\/u)\/u)*u)*u)\/u)\/u*u*u**(-1\/5))**(-22)*(u\/(u*u*u**1\/u*u))**(-33)\/(u**(-1\/4)\/u*u**(-8)) assuming u is positive.\nAnswer: u**(5627\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 399, 451, 153, -495, -1493?\nAnswer: -2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (74 - 69) + 26\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1\/59 - -56\/177. Let l = 0.03 + -0.03. What is the closest to l in w, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 + 5*t - 8. Suppose -8 = -2*v, 2*v + 3 = -4*s - 5. Let f be r(s). Let h(m) = 304*m**2 - 2*m. Let y be h(f). Round y to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 306832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -397.3 - -395. Is l > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15151 is divided by 843?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -76.5 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - 1. Let u be 150\/8 + 17\/68. Suppose -u*k = 12*k - 155. Solve -l*w + k*w = a, 4*a + 2 = 5*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**3 + 1090*y**2 - 59035*y + 57950.\nAnswer: -5*(y - 122)*(y - 95)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**2 - 4*u - 22. Give h(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -3*c - 60000000, q - 12000000 = -0*q - c. What is q rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from leleldyidlellre.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7375003 kilograms to tonnes.\nAnswer: 0.0007375003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(1 - 1 - -2). Let s = 187\/72 + -23\/8. Let u = 1\/6 + s. Which is the third biggest value? (a) n (b) u (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 + 14. Let y(r) = 5*r + 16. Let t(i) = -6*i - 17. Let x(u) = 6*t(u) + 7*y(u). Let c be x(l). Solve -c*g + 13 = 2*o, o - 2 - 6 = -2*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132)*3)\/sqrt(3)*-1)\/(sqrt(8)\/sqrt(2)*2 + sqrt(400)*1).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55 + -25. Let w be (-9)\/o*-1*(-8)\/(-12). Sort -1\/2, 1, 0, w in increasing order.\nAnswer: -1\/2, 0, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 23 + 93 = 0. Suppose 7*f - 2*f = q. Calculate the remainder when 39 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/(-8)*(-5 + 1). Solve -3*z - 1 = 4*s + 4, t*s = 5*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = -3*m - 31, -5*m - 35 = -0*b + 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum 12 and 2003555441487.6.\nAnswer: 2003555441499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 301 divide 135353707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 608492 is divided by 2561?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 12101, -1, 3, 2, 86.\nAnswer: -1, 2, 3, 86, 12101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 34 = -h, -3*h - 14 = -2*m + 20. Let c = 1 + -1. Solve -s = -2*b + 7, 5*s - b + m = -c*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 28 = -3*n - 7*d, -d = -5. Let t be (3 - 1)\/(0 + n). Solve 1 = -t*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*x**4 - 761*x**3 - 5*x**2 + 1755?\nAnswer: 12*x**3 - 2283*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 43 = 4*r, 0 = -y + 7 - 14. Let l(o) be the third derivative of 1\/280*o**6 + 1\/8*o**4 + 0*o + 0 + 29*o**r - 3\/14*o**3 - 1\/28*o**5. Factor l(v).\nAnswer: 3*(v - 3)*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 - 29 - (1 + (-2 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-722)\/57 - -13)\/(1\/(-87)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z + 23. List the prime factors of k(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 4*q = -6*q + 204, q - 3 = 0. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 - 123 = -33*y. Sort y, -1, 2, 9 in ascending order.\nAnswer: -1, 2, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 less than or equal to 9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i + 4*s = -8260 + 8216, 2*s + 32 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 3*f**2. Let g be q(1). Suppose 5*t = -g*o - 7, -2*t = -2*o + 1 - 11. Let l be t\/(1 + 1*-2). Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12386 is divided by 5978.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 15035871 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 34910609 to the power of 1\/2, to the nearest integer?\nAnswer: 5909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 618 divide 105619908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1600.998193 + -1601. Round x to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r. Let q(l) = -60*l + 41. Let v(g) = -q(g) + 4*w(g). Is v(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.684594484 to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -50*r - 4. Let i(k) = 300*k + 25. Calculate -4*i(t) - 25*u(t).\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -15*y - 181. Let w be z(-12). Let u(v) = -640*v**3 + 11*v**2 + 11*v + 1. List the prime factors of u(w).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35605 + -36183.46. Let r = d - -557. What is r rounded to 0 dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*l**2 - 424 + 7*l**2 + 7*l**4 + 440 + (l**2 + 2*l**2 - 4*l**2)*(-445*l + 445*l + 56*l**2).\nAnswer: -49*l**4 + 2*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 + 2)*(-t**3 + 6*t**3 - t**3).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -349 - -604. Let c = -257 + r. Which is smaller: 2\/167 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 3587*v - 116 - 3598*v + 29. Calculate the remainder when 32 is divided by m(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -u**2 - 47019*u = 0.\nAnswer: -47019, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -2*f + 374, -f + 5*n + 255 = 44. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5973801 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-24471952\nAnswer: -4894390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 2:15 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 4 = -s, -c - 3*s = -9 + 1. Let g be (-2 - c)\/((-12)\/(-10)). Put g, -0.4, -2\/9 in ascending order.\nAnswer: g, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 235, 591, 1091, 1735, 2523?\nAnswer: 3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 45? (a) 1\/6 (b) 0.3 (c) -45251 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -246, -232, -190, -108, 26, 224, 498, 860?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -611, 280, 1169, 2056?\n\"Answer: -n**2 + 894*n - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/11007 and -83\/40359?\nAnswer: 121077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -1235 divided by 5\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 511 divide 3308364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of p**3\/2 - 43*p**2\/2 - 48*p. Let t be k(22). Which is smaller: 26 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-16)\/20*1*170\/(-4). Suppose 13*d + 8 = k. Suppose 5*z = d*r + 3, -2*r + 4*r - 3*z = 7. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 5 = -j + 3*i, 0 = -3*j + 5*i + 14. Suppose w - j = 2. Suppose -2*t = y - 8, 4*t + w*y - 1 = 3. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79\/2 of a meter in millimeters?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 21854909 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 34265.07 hours to days.\nAnswer: 1427.71125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1825392095?\nAnswer: 5, 29, 12588911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*i + 2*i**4 + 4*i - 3*i**4 + 1 + 30*i**2 - 55*i**2 to the form w + x*i**4 + d*i + y*i**2 + f*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/30 and ((-763)\/(-56) + -6)\/((-9)\/(-2)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ijjx when four letters picked without replacement from {i: 6, r: 1, m: 2, j: 4, d: 1, x: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -20 + 25. Suppose 2*m = 3*d + 4, 2*m + 0*d = -4*d + 4. Suppose -3*b + 4*b + 10 = -3*p, -m*p - z = b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -298*p = 568*p - 28578 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j**3 - 2*j**3 + 3*j**3 + (0 - 1 - 1)*(4*j**3 + 3*j**3 - 5*j**3) + (57 - 2*j - 57 + 4*j**2)*(-3*j - 4*j + 3*j) to s*j + w*j**3 + v + k*j**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of 2*c**2 + 1\/6*c**3 + 0 - 3*c. Is t(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -635*a + 4457*a + 560*a to the form r*a + o and give r.\nAnswer: 4382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 705.1551ml?\nAnswer: 0.7051551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*k + s - 14, -7*k - 246 + 226 = -4*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3, -9, -215 in descending order.\nAnswer: 3, -3, -9, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/(g\/((g\/g**27)\/g))*g)**34*g**(-9\/8)\/g**(16\/7) assuming g is positive.\nAnswer: g**(-47791\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1669, 1656, 1667, 1714, 1809, 1964, 2191?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = -3*j - 9, -2*m - m - 22 = -76*j + 89*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 - -24. Let r = 13 - c. Solve -3*j + r*u - 9 = -28, -5*u - 20 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1293 - 536.8707. Let w = y - -536.998395. What is w rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 510 divide 810569520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12.45 + 12.4. Which is the nearest to -3? (a) 3 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/111*(-17 - (-111)\/6).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 782162 is divided by 39105.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*r + 58 + 26 - 86)*(2*r - 6*r - r).\nAnswer: -25*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15)\/(-42)*4)\/((-4)\/(-28)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*t + 9. Which is smaller: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 13\/(-104)*20*(-2)\/(-3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -14 + 423?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 721*f**3 + 191*f**2 - 18*f - 21. Let d(p) = -181*p**3 - 48*p**2 + 4*p + 5. Let y(u) = -9*d(u) - 2*k(u). Find the third derivative of y(i) wrt i.\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -13, -2, 1.\nAnswer: -13, -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 47256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -2*t**2 + 4*t - 2. Suppose -h = -0*p - 2*p + 4, -5*p + h = -13. Calculate j(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3645.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = y - 0 + 3, 5*y - 4 = i. Solve 6*g - 5 - y = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 - 8\/(-1)) + 0. Let x(z) = -z**2 + 5*z + 18. Let y be x(7). Solve -2*p + y*t - 8 = 0, -3*p = -2*p + 3*t + r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, u: 4, m: 3, r: 1, f: 1, z: 1}. What is prob of picking 1 m and 1 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -153 + 158. Suppose 0 = -s + 5*t + 17, -2*t - 12 = -a*s + 4. Solve 3 = -s*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 24 = -4*n, -5*r = -4*r + n + 4. Let b = 8 + -6. Suppose -5 - b = -m. What is the highest common divisor of r and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(2\/7)*x\/(x\/(x**(-6)\/x))*x)\/(x**(-4)\/(x**(-1\/4)*x)) assuming x is positive.\nAnswer: x**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 2289 - 485. Suppose g = -3*w - 8698. Round w to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-5*(-2 + (sqrt(20)\/sqrt(4) - sqrt(5))**2 - sqrt(80)*-5) + -5.\nAnswer: -600*sqrt(5) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-10\/3)*o)\/o*o**(-25)*o**(11\/3)\/((o*o**11)\/o*o) assuming o is positive.\nAnswer: o**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -34751005*z**2 - 12*z - 7. Let m be q(-1). Round m to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -920 - -14?\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, 22623, 5 in descending order.\nAnswer: 22623, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from {v: 4, g: 2, y: 8, f: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -7. Let y be (-2 + 6)*z\/4. Suppose 4*f = y*m - 53, -m + 1 = f - 5. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -40532 + 447?\nAnswer: -40063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-27*g**2 + 58 - 58)*(2*g**2 - 5*g**2 + 2*g**2)*(2*g - 5*g - 3*g).\nAnswer: -162*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n + 17640000 = -14*n. What is n rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4933195 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-32)\/(-360))\/(6\/15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 17*b**2 - 4*b + 17. Let n(j) = -6*j**2 + j - 6. Let r(k) = 8*n(k) + 3*o(k). What is the remainder when r(2) is divided by 14 + (-4)\/2 - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -4*d. Let s(a) = -6*a - 4. Let n be s(-1). Let f(o) be the first derivative of 0*o + 1 + 1\/2*o**n. Give r(f(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1397\/(-44))\/(((-6)\/3)\/8). Suppose 92 = -p*l + 131*l. Let d(h) = h**2 - 12*h - 1. What is the hundreds digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {p: 1, r: 3, a: 1, t: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 274 and 26.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 690873 - 690868.394765. Let h = a - 23.605327. Let y = h + 19. Round y to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**3 + 3*c**3 - 4*c**3)*(5*c + c - c) + 5*c**4 - 3*c**4 - 4*c**4 - 4*c**4 - 2*c**4 + 5*c**4 + (2*c**2 - c**2 - 2*c**2)*(-1 - 3*c**2 + 1).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of -17*k**4\/24 + 11*k**3\/6 + 11*k**2 + 3*k. Let c(r) be the first derivative of m(r). What is the derivative of c(o) wrt o?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 - (-36 + (-12)\/4). Let f = z - 35. Solve -3*q - 5*h + 26 = f, 0*q - 2*h + 6 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -22.293?\nAnswer: 89.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33 - 19. Find the second derivative of 19*k**3 + 4 + 7*k - 4 + 12*k**5 - s*k**5 wrt k.\nAnswer: -40*k**3 + 114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 390819 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.4, -3\/5, 4\/41?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 - f + 1. Let t = 14686 - 14802. Let s(b) = 145*b**2 - 116*b + 116. Give t*w(d) + s(d).\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*d - 60*w + 61*w = -131, d - 5 = -w for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23 - -15. Let k(d) = -12*d**3 + 8*d + 8. Let p = 177 - 173. Let x(v) = 88 - 4*v + p*v**3 + 89 + v - 180. Calculate w*x(l) - 3*k(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 209289315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*6*(3*(1 + sqrt(320)))**2 - (4 + (((-1 + sqrt(5))*4)**2 + (1*sqrt(15))\/sqrt(3))*3).\nAnswer: 3549*sqrt(5) + 69044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1342 and 9713396.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3.329, 295, -4\/5, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 42 and 350?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -175 - -297. Let m = -118 + h. Let t(v) = v**3 - 2*v**2 + 2. Let s be t(2). Solve m = -3*q - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from wrwrbbwihwrwrwibwbhw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -3*y**2 + 3*y - 9. Let o = -115 + 116. Suppose 9*c - 44 = o. Let m(k) = -2*k**2 + 2*k - 5. Calculate c*m(u) - 3*l(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*q = -2*x + 15*q - 10, 0 = -x - 5*q - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 8406, -4, -2, -3, -1 in ascending order.\nAnswer: -5, -4, -3, -2, -1, 8406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 824, 3456, 7834, 13952, 21804, 31384?\nAnswer: 42686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.083 or 0.07?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r - 47. Let y(q) = -1. Let t(f) = -h(f) + 6*y(f). Let i be t(0). Solve 4*w - i = 4*p - 5, -5*p = -2*w + 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 85*u**3 + u - 1. Let p(h) = -3*h**2 + 3 - 2 + 2*h**2 + 8*h. Let o be p(8). Is i(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the third derivative of 17*g**6\/120 - 3*g**4\/8 - 6*g**2. Find the second derivative of n(f) wrt f.\nAnswer: 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + 21. Solve m*z - 2*j = -1 + 5, 4*z - 11 = j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((5\/3)\/(60\/(-360)))\/(-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/((-27)\/6 - -3) + -2. Suppose 5*i = z + 3*i + 2, -z - i = -4. Suppose z*g - 20 = -2*g. Sort 0, g, w in ascending order.\nAnswer: w, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2998701626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -294*w - 416213 = -426797 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -12648 at most -12647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (5 - ((10 - -7) + -1)) + 55\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = 4*r - 10, 5*p - 26*r - 11 = -29*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**2 - 5*u - 4. Let j be 1\/(-3) + (-7)\/(-3). Suppose -j*n + 6*n - 4*r = -28, -4*n - 2*r = 4. Let b be d(n). Is 3 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/(-66)*(-3)\/2*(-14)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 5*x**3 + 2*x**2 - 3*x + 4. Let o(p) = 2*p**3 - 3*p**2 - 5 - 8*p**3 + 2*p**2 + 4*p. Let w(g) = -5*b(g) - 4*o(g). What is the units digit of w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 18797\/58700 + -6\/587. Let i = -3\/50 + f. Find t such that 1\/4 - 1\/2*t + i*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5798673 times 2?\nAnswer: -11597346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*c + 0*c + c)*(-2 + 0 + 0) + 3*c - 4*c + 0*c + 1 + 3*c - 1)*(c + 3*c - 2*c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - 9*r**2 + 5*r - 1. Let n be q(10). Let o = n + -70. Suppose a + o = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 357468 is divided by 497.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-5))\/(468\/390)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(10)\/sqrt(125))**2 + (-5*sqrt(2)*-1 - sqrt(2) - (sqrt(8)\/(sqrt(36) + sqrt(4) - sqrt(4)))**2).\nAnswer: 238\/225 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 543 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 308242.\nAnswer: 2, 11, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 + 0*w**2 - 2*w**2)*(-6 + 5*w + 6) + 13*w**3 - 5*w**2 + 5*w**2.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 12223?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - -10. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -46239*7\/42*(18 + (-6)\/(-3)). What is h rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 547782.9 millennia in years?\nAnswer: 547782900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -128 + 2697. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 175\/10193 or 0?\nAnswer: 175\/10193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16 and 2204.\nAnswer: 8816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4\/3 (c) -3\/19 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -685, -1380, -2075, -2770, -3465, -4160?\nAnswer: -4855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + 7*q - 6. Suppose 15 = 4*z - z. Let k be ((-104)\/(-6))\/4*3. Suppose -z*b + 12 = -k. Determine i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13 - -2. Let s = j - -16. Solve 3*f - s*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -34577\/35 + 988. Let m = j + 1\/5. What is the third smallest value in m, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, u: 1, s: 2, c: 4, y: 2, r: 3}. What is prob of sequence ssy?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + -7 + (3 - 4) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7, p: 5}. What is prob of picking 1 p and 2 r?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*x + 2*x - 3*h = -23, 32 = 4*x - 572*h + 559*h - 39 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from udfzofuzzzfouzzu. Give prob of picking 1 z and 1 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*j + 0*j - 3*j - j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*t**3 - 13*t**3 + 247*t**3.\nAnswer: 211*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -99 - -104. What is the nearest to 1\/4 in 0.42, g, -4?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -24*f**2 + 4*f**3 - 22 - 5*f**3 + 69 - 42*f. Let a be q(-22). Solve 0 = 5*d + 4*p + 15, -3*d - 3 = -2*d + a*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 287920016 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000157178064 rounded to 7 dps?\nAnswer: -0.0001572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 35 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 69664957 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 193797, 193976, 194155, 194334, 194513, 194692?\n\"Answer: 179*a + 193618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.668 and -0.04.\nAnswer: -0.02672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -5\/2, 3, 28 in ascending order.\nAnswer: -5\/2, -0.1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60126 is divided by 791?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(((m**(1\/3)\/m)\/m)\/m))**(3\/11)\/(m**0*m)**(-1\/15))\/((m*m*m*m**0)**22*(m*m*m*m**(-1\/6)*m)\/(m*m**1\/m)) assuming m is positive.\nAnswer: m**(-2033\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -2*g. Let d(q) = 45*q - 28*q + 27*q. Give d(o(r)).\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2\/3, -0.25785.\nAnswer: -0.25785, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22210 + 11?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -21\/24068 and 1\/1340.\nAnswer: 8062780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r**4 - 4*r**3 - 198*r**2 = 0 for r.\nAnswer: -9, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2\/((-145)\/(-87) - 38\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*w + 1 - 1 + 14*w in the form f*w + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 2831144536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 93423.2 grams in micrograms?\nAnswer: 93423200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6815*n**3 - 15271*n**3 + 8416*n**3.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by -13486025.\nAnswer: -9\/13486025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -10646 by -5323.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -26 + -5?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) 1 (c) 9\/1024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 842 + -835. What is the closest to 3 in l, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -229*p + 225*p = -2916. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/14 + 76\/217. Let i = -3.8 - -3. Let o = i - -1. Which is the third biggest value? (a) w (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3341760*v - 1051540480 + 5\/4*v**3 - 3540*v**2.\nAnswer: 5*(v - 944)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 554498 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -2*j + 5*v, 0 = -4*j - 3*v + 93 - 70 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 196629077?\nAnswer: 29, 73, 293, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 210*d**5 + 145062*d**2 + 7665*d + 240.\nAnswer: 4200*d**3 + 290124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1971.30003 hours in weeks?\nAnswer: 11.73392875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 60 - 60. Let n be ((-8)\/(-2))\/(-4) + -3. Let p be (-6)\/n*(-24)\/(-198). Is p >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 12896.6376 hours?\nAnswer: 76.7657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 + 24*i - 37. Calculate the smallest common multiple of u(3) and 192.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 AM and 5:34 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3731 and 436814.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d + 1 + 5. What are the prime factors of -2*(-3 + d + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 0 + (-312)\/48.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5669 - 361 - 7178 + 1583 - 1981 + 3*s)*(-3 + s**2 + 3) to f*s**2 + h*s + i + d*s**3 and give f.\nAnswer: -13606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = h - u, -3*h + 4*u - 175 + 185 = 0. Let 0*y**h - 9\/2*y**4 + 0*y - 3\/2*y**3 + 0 = 0. Calculate y.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -10*f + 156. Let p be x(15). Solve 0 = 2*k - 4*z + 14, -p - 1 = 5*k + 4*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y**3\/7 - 58*y**2\/7 - 122*y\/7 - 62\/7 = 0. What is y?\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1552 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1429551037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 3*t + 53, 4 = -t + 5*t. Let m(q) = 4*q + 9*q + 9*q - h*q. Let d(r) = -3*r + 11 + 9 - 31 + 11. Calculate d(m(v)).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -11*c**2 - 10*c**2 - 5*c**2 - 4*c**2. Let b(l) = -3*l. What is p(b(t))?\nAnswer: -270*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1025 and 20130?\nAnswer: 4126650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 - 9789*g + 143 - 101.\nAnswer: -9789*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times -0.14?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1593191\/368 + -160799\/23. Let u = p - -2659. Find the common denominator of u and 1\/(-4)*(-372)\/(-14).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 74198691, 74198706, 74198721, 74198736?\n\"Answer: 15*o + 74198676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1191\/21 + (-16)\/(-56). Let q = v + -57. Solve q*b + 4 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167712332 is divided by 230.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -154 - -160. Suppose -3 = 4*l - a, 1 = -2*l - 5*a - c. Is -8\/7 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33283031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.4 - -4.6. Let p = -3 + k. Let z = 4.04 - 0.04. Put p, z, 1 in ascending order.\nAnswer: 1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12384 and 22?\nAnswer: 136224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 8, z: 2, a: 4, f: 2}. What is prob of sequence fza?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2, 6, 20, 40, 66, 98?\n\"Answer: 3*q**2 - q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 214*u = -680 - 1032 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -1. Suppose 0 = -4*x - y + 4, -x + 3*y = -5 - 9. Let p(z) = -x*z + c*z + 4 - 3*z. Calculate p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*j - 10 = 11*j. Let f be -3*((-17)\/24 - (-15)\/40). Which is the nearest to j? (a) -4 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -709\/3, 572, 0.09, -1\/5?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -18. Let t = -8.1 - f. Let z be 2\/7 + 12\/(-140). What is the third biggest value in t, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10087472891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f + 802 + 368. Suppose -f = -2*p - 18. Let j = -34 - -46. What is the highest common divisor of j and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l + 0*l - 3 - 2. Let w = 123 - 119. What is the lowest common multiple of d(w) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 252 = -4*s. Let r be ((-3)\/2 + 0)*s\/(-63). Which is smaller: r or -10\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.12 - 0.02. Let r = -0.2 + b. Let m = -0.4 + r. What is the closest to -3\/4 in m, -0.3, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 3*a - 256 - 119 = 0, -3*f = 5*a - 399. Let j = 145 - f. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 1938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 4*b + 227. Let o be y(-43). Let u = o + -769\/14. Which is smaller: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 2*c**2. Let u(d) be the first derivative of -959*d**2 + 289. Determine k(u(z)).\nAnswer: 7357448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 142, -3 in ascending order.\nAnswer: -3, 3, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.18 + -0.78. Which is the closest to j? (a) -1 (b) 1\/6 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -77, -188, -337, -542, -821, -1192, -1673, -2282?\nAnswer: -3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 4*p - 9 = 8, i + 8 = -p. Let q = i - -9. Let y = -91 - -95. Calculate the lowest common multiple of q and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dfod when four letters picked without replacement from vvfvmomvodvvdko.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -d + 9, 4*m + 408*d - 403*d + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, m: 2}. What is prob of picking 2 f?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -q. Suppose -4*i + q*i = 0. Let w be (0 - -3)\/(i - 2). Which is the second smallest value? (a) -2\/7 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/2*1700\/(-510)*(-2)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be -8*(5 - 22\/4). Suppose 9*f = c*f + 10. Suppose 671 = f*s + 193. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(5 + (sqrt(200) + sqrt(200) + 4)**2*-2 + sqrt(200) + (6*(sqrt(2) + (sqrt(80)\/sqrt(5))\/sqrt(8)))**2).\nAnswer: 1550*sqrt(2) + 6695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -2*n + 1. Suppose -4 = 4*a - 3*a. Let j be (-6)\/a*(-24)\/(-9). Suppose 0*g = j*g - 20. Let m(t) = -t + 1. What is g*m(u) - 3*o(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/6542508 and 151\/230370?\nAnswer: 32712540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**3 + 10. Let p be c(0). Suppose 0 = -3*s - 2*s + p. Suppose -u = 2*u - s*t - 6, 0 = -3*u + 3*t + 6. Solve g - 8 = 3*i, u*g - 21 = -2*g + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -12*n**2 + 6*n - 23. Let w(v) = -8*v**2 + 4*v - 15. What is 5*k(c) - 8*w(c)?\nAnswer: 4*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 58*t**3\/5 + 2223840*t**2 + 106583666730*t + 36752724100.\nAnswer: 2*(t + 95855)**2*(29*t + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -12*r**3 - 3*r**2 + r. Let z(k) = 7*k**3 + 4*k**2 - k + 1. What is -5*h(q) - 4*z(q)?\nAnswer: 32*q**3 - q**2 - q - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let k = 283 - 135. Calculate the highest common factor of 703 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d*d**15)*d\/(d**(10\/3)*d)*d)**37 assuming d is positive.\nAnswer: d**(-1924\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -839, -3810, -8763, -15698, -24615?\nAnswer: -35514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12334b (base 14) in base 4?\nAnswer: -2120032313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2.7, 0.07, 26777?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, b: 3, m: 4}. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((81\/6)\/3)\/12. Let i = -0.06 - 0.11. Let f = i - -0.07. Put f, b, -2\/9 in increasing order.\nAnswer: -2\/9, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3301148615 to the nearest integer?\nAnswer: 57456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 149720.\nAnswer: 2, 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 3, -35, -7, -55 in decreasing order.\nAnswer: 3, -7, -14, -35, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0009547 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -1, 5, -5, 2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (9 + 14 - 17) + 26. Solve 6*n = 4*n + 4*a - r, n - 4 = -2*a for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31.08 - 0.520631?\nAnswer: 30.559369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kckkckkkkkckkk. What is prob of picking 1 c and 3 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -305 - -10615432?\nAnswer: 10615124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -0.09119, 1\/3, 2 in decreasing order.\nAnswer: 2, 1\/3, -0.09119, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of d**4\/12 - 5*d**3\/6 - 10*d**2 - 1668*d. What is h(10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2*i - 17. Let x be -9 + 52 - (5 - 0). Let u = -51 + x. What is the remainder when 42 is divided by o(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 5*s + 0*s = 15599985, 15 = -5*s. Suppose -2*z + l = -3*z. What is z rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 PM and 9:07 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3333 + -3333.000008339. What is f rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.148 - 0.052. Which is the closest to 0? (a) r (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -2. Let m = v - 1. Let z be (-16)\/(-24)*18\/20. Which is the nearest to m? (a) -0.4 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21741760 and 144?\nAnswer: 195675840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (140\/(-32))\/(42\/(-720)*10).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*m**2 - 965*m + 2850.\nAnswer: 5*(m - 190)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 302 a factor of 27170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 80 or -25?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 412*d = 403*d + 93213. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*i + 249 - 249 = 0. Suppose -3*y = 2*y - 5. Let j be 5\/3 - y\/(-3). Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1021033222 (base 4) in base 7?\nAnswer: 2356444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/25 and -54\/7?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*j + 2*y - 8 - 17, 5*j - 5*y = -50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/12 and 73\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**2 - 4. Let w(j) = 3*j**2 - j - 11. Let t(g) = 4*w(g) - 11*x(g). Let c be t(5). Solve -c*k + 5*b - 7 = -17, -3*b = k + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.7 - 4. Let p = 60 + -538\/9. Suppose 2*j - 3*o = -16, j + 0*o = o - 6. Which is the biggest value? (a) j (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -210 - 26153?\nAnswer: -26363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i**2 + i**2 - 18*i**2 + 3*i**2 - 6 + 6 + (-2*i + 0*i + 6*i)*(-3*i + 0*i + i) - i**2 - 2*i**2 + 4*i**2)*(-3*i + 3*i**2 + 3*i).\nAnswer: -72*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 210797020 to the nearest integer?\nAnswer: 14519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from cffcfmcmmmfmffc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l = -0*l + 16. Let d(r) = -r - 6 - 113*r**2 + 63*r**l + 55*r**2. Is d(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - g + 3011 = 3*g, 0 = 5*i - g - 5049. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/80 of a millimeter in nanometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: -43439 divided by -5\nAnswer: 43439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19073 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-15 + 16)*(-289)\/(-1). Let z = p + -201. What is the common denominator of -52\/27 and 0 + 14*(-28)\/z?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 = -4*h + 55. Let u(o) = -4*o - 6. Let m be u(-6). Calculate the greatest common factor of h and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 2*w**4 - 182*w**3\/3 - 184*w**2 + 728*w\/3 + 704 = 0.\nAnswer: -8\/3, -2, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = z - 334310, -44*z + 1337149 = -40*z + j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -66 + 46. Suppose -6*n = -4*n - 216. Let f = n - q. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36 - 32) + ((-1134)\/(-72) - (-9)\/(-1)).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1439*y**2 + 10879*y**2 - 12315*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 6*z. Let u = 15 + 2. Let b(o) be the third derivative of o**4\/24 - o**3 - 7*o**2. Let r(j) = -3*j + 17. Let m(i) = u*b(i) + 6*r(i). What is m(d(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 41*m**3 - 13*m**2 + 50*m - 22. Let o(q) = 28*q**3 - 9*q**2 + 35*q - 15. Calculate -5*j(p) + 7*o(p).\nAnswer: -9*p**3 + 2*p**2 - 5*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/(-2) + -8*7\/(-112). Let i be (-66)\/99*(t + -1). Calculate the common denominator of -55\/14 and (-6)\/i*-1 - (-141)\/30.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 136 divided by 6.\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18428, -36907, -55386, -73865, -92344?\nAnswer: -110823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1.78 smaller than -3054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -2 - 7. Let g be o - ((-2 - 0) + -1). Suppose g*j - j + 8 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*d - 11*d - 21*d to the form l + q*d and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 38 - 11. Suppose 0*m - s = -4*a + m, 2*a + 3*m - 17 = 0. Suppose a = 5*p - 18. Which is smaller: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.498 and -1.3.\nAnswer: -1.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97*n - 313538 = 728436. What are the prime factors of n?\nAnswer: 2, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -2*y + y, 0 = -4*j - 16. Let x(g) = 3*g + 2. Calculate x(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of 17*k**3\/3 - 10. Let r(p) = -2*p. Give a(r(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2924293576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 18.0341ml in litres?\nAnswer: 0.0180341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rffqqfvkvqfqkf. What is prob of picking 2 k, 1 v, and 1 q?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 26828 at least as big as 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 851 + -851. What is the second biggest value in -5, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1913239 is divided by 2091.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 2*w**5 + 20*w**4 + 34*w**3 - 56*w**2 = 0. Calculate w.\nAnswer: -7, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 10 or -0.08?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 480*v**2 - 8*v - 5. Does 7 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 49*i - 4. Let p(v) = -16*v + 1. Let f(a) = -2*l(a) - 7*p(a). What is the units digit of f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) -8 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*r + r**4 + 0*r + (r**2 + 2 - 2)*(-6 + 7*r**2 + 6) + r**3 - r**3 + r**4 + (2*r**3 - 3*r**3 + 6*r**3)*(-9*r - 12*r + 6*r).\nAnswer: -66*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t*t**(-4\/9)*t*t)\/t*t\/(t*t*t**0*t*t))**(-29)*((((t\/(t**0\/t))\/t)\/t*t)\/(t*t\/(t*t\/(t**1*t))))**40 assuming t is positive.\nAnswer: t**(-244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 57 divided by 10115.\nAnswer: 57\/10115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 54755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 6*k + 21. Let b(l) = l + 4. Calculate 11*b(y) - 2*c(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the third derivative of 7*v**5\/60 + v**3\/6 + v**2. Let g be k(-1). Let j be (2\/(-4) - 0)*0. Solve j = 4*b + g - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 7*b + 5 = 0, 0 = y + 3*b - 529. List the prime factors of y.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 235*t + 5 + 285*t.\nAnswer: 520*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*g = -68*g - 30. Let w(f) = 5*f + 14. Give w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*s + 130 = -61*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4405 + 4404. Let c(o) = 5*o - 8. Let s(a) = 1. Calculate d*c(h) - 4*s(h).\nAnswer: -5*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2*z)*(1 - 1 - z**4 + z**4 + z**2 - z**2 + (2*z**2 - 1 + 1)*(2 - 2 + z**2) - 4*z**4 + z**4 + 5*z**4) - 2*z**5 - z**2 + z**2.\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(1\/3*3). Suppose u + 0 = -2*c + 1, -5*c + 4*u + 22 = p. Suppose y - 30 = -c. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + -33 + 15 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -20*d**2 - 5*d**3 - 52*d**3 - 25*d**4 - 29*d**3 + 6*d**3 + 35*d**5 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6574 + -6544.9. What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 40023, 160102, 360233, 640416?\n\"Answer: 40026*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -68619 + 68602. Let h(n) = 4*n**3. Let b(z) = -11*z**3. Let s(j) = -j**2 - j - 6. Let t be 2\/7 - (-4)\/(-14). Let p be s(t). What is p*b(a) + q*h(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 52*p + 939. Let v be i(-18). Which is the closest to v? (a) 25 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 25 = -6*o. Suppose 1829 = o*r + 2*m, -3*r + 3*m = m - 1091. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4888\/6593 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -101, -419, -957, -1721, -2717, -3951, -5429, -7157?\nAnswer: -9141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -369374*g**2 + 184651*g**2 - 2*g**3 + 184723*g**2 - 4*g.\nAnswer: -2*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of -k**5\/60 - 257*k**3\/6 - 326*k. Let y(q) be the second derivative of d(q). Let u(j) = -2 - 15*j + 2. Calculate u(y(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j**2 - 27*j**2 + 4*j**2. Let n be f(-2). Let b = -4 - n. What is the highest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 4*i = 938, -5*a + 5*i + 772 = 3117. Let h = a + 4225\/9. Factor -14\/9*u - 10\/9*u**2 - h.\nAnswer: -2*(u + 1)*(5*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2 - -0.2. Let v = -3 - -2. Sort q, -0.1, v in ascending order.\nAnswer: v, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w + 4*v - 1, -3*w + 0*v + 58 = v. Let m = w + -12. Suppose 0*y - 3*y + 2*b = -27, -y + 5*b + m = 0. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -30891, -30914, -30969, -31068, -31223, -31446, -31749, -32144?\n\"Answer: -2*t**3 - 4*t**2 + 3*t - 30888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/8928 and 93\/4.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b - b + 5*b + b. Let l(f) = 56*f - 40. Let k(a) = -a + 1. Let d(v) = -80*k(v) - 2*l(v). What is q(d(p))?\nAnswer: -64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00004429 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-3420)\/741 - (-3668)\/1820\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of -2914*k**3\/3 + 1788*k**2 - 829. What is the second derivative of o(y) wrt y?\nAnswer: -5828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2642, -4477, -6310, -8141, -9970, -11797, -13622?\n\"Answer: s**2 - 1838*s - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003719789267 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.18392 + 0.0164. Let f = 0.2 - p. Round f to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + j - 48. Let i(z) = 10*z. Let c = 15 + -14. What is the least common multiple of j and i(c)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.9 + -2.1. Let q be (-8)\/(-13)*(-1)\/(-4). Which is the nearest to 3? (a) q (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/4*a**2 - 11\/2*a + 21\/4.\nAnswer: (a - 21)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 320, 319, 318, 317?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 48351800 rounded to the nearest one hundred thousand?\nAnswer: 48400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 25992885899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -4543 (base 7) to base 11\nAnswer: -1269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/(-3) + 1 + 3. Let u = -4 + v. Suppose w + 0*w - 211 = u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-15)\/(-2))\/(18\/24). Suppose -8 = -f + p. What is the least common multiple of (-2 - 1) + (16 - 1) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-4*sqrt(225)*5)\/((sqrt(80) - -1*sqrt(80)) + (-2*(sqrt(5) - 2*sqrt(5)) - sqrt(5))))**2.\nAnswer: 50000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 99\/(-55)*135850\/(-78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -94*d**3 - 6*d**2 + 7*d + 19. Is s(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) 2598.81 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k**3\/2 + 1251*k**2\/2 + 625*k = 0. What is k?\nAnswer: -1250, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 90*w - 11068. Calculate k(123).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-150)\/(-105))\/((-1)\/(-175)*5). Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 8:58 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -17.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8453943 to the nearest integer?\nAnswer: 2908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 5. Let d = t - -5. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-15)\/10*((-8)\/(-1 + -1) + 0). What is the closest to w in 1, -0.06, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 + 18*f + 61. Let n be t(-14). What is the tens digit of 76 - ((-20)\/n - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -162 by 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**2 - 5. Suppose 4*m - 54 = -2*z, -7*m + 4*m + 58 = 5*z. Calculate the remainder when d(-5) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 8 - 4509a57?\nAnswer: -4509a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (70\/315)\/((-2)\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 2*b - 0*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*4*-1*(0 + -1 + 1 + sqrt(475) + -5))**2.\nAnswer: -800*sqrt(19) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3921043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -45 - -47. Suppose -6*p - 60 = -s*p. Let k be (14\/2)\/((-5)\/p). What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2826\/(-4239)*9\/(1 + 2))\/((-6)\/(-14))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2228, -4444, -6660, -8876?\nAnswer: -11092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 7) + 0 - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p + 49. Let t(x) = x - 24. Let o(f) = -4*h(f) - 9*t(f). What is the least common multiple of o(0) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91744.91 milligrams to micrograms.\nAnswer: 91744910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6341297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 98*v**2 - 8718*v - 432. What is h(89)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -172792 - -259691. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 235\/2620087 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 423233402?\nAnswer: -423233404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43014?\nAnswer: 2, 3, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 13, 1, -1\/101, 0.3?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmajpojjomo. What is prob of sequence jj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 456 - 458. Let r be (6\/(-8))\/(1\/(-4)). Let g(h) = 3. Let u(i) = -i**2 + 2. Calculate n*g(x) + r*u(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -2*y**2 - 6*y + 108 = 0. Calculate y.\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*d**3*f*k**2 + 5291*d**3*k**2*t + 4*d**2*f*k**2*t + 127*d**2*f*t + 2*f*k*t + 8*k**2 wrt d?\nAnswer: 12*f*k**2 + 31746*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1196795 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 33 = 5*u. Let j(n) = -n**2 + 6*n + 3. Let k be j(u). Factor -k*r**2 + 5*r - 3*r + 0*r - 5*r**3.\nAnswer: -r*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2179 - -2227. What is the smallest common multiple of i and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1\/46 + -99\/322. Let s = -15234.1 - -15234. Which is the third biggest value? (a) -1 (b) x (c) s (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)\/(sqrt(12)\/sqrt(2)))\/(3*sqrt(8)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -71*f - 13. Let d(x) = -36*x - 6. Let y(c) = 9*d(c) - 4*g(c). What are the prime factors of y(-9)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-29852*1\/(-5))\/((-778)\/(-1945)).\nAnswer: 2, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7720418.\nAnswer: 2, 3860209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 4*b**2. Let k(a) = a - 4. Let n(o) = 3*o - 11. Let u(p) = 11*k(p) - 4*n(p). Let j(m) = -4*m. Let h(g) = -6*j(g) + 26*u(g). Determine h(s(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y + 6825008 = -11*y - 4*x, 3*y - 3*x = -4094994. What is y rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 25 + -16. Let j(y) = -i + 3 + 203*y + 10 - 1. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:51 PM and 7:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/w**(-5\/4)*(w*w**11)\/w)\/(w**36\/w*w**(16\/3)))**30 assuming w is positive.\nAnswer: w**(-1565\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 286 and -1.09815?\nAnswer: -314.0709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-2 + 26 + -1 - (-28 - (31 + -74)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-33)\/22*16\/(-6). Let g(f) = 4*f**2 - 2*f + 4. Let h be g(k). Calculate the highest common factor of h and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 353096.\nAnswer: 2, 19, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 15762*g**4 + 3*g**5 - 129*g**3 - 7838*g**4 - 7798*g**4.\nAnswer: 3*g**3*(g - 1)*(g + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2441*a*u**2*y - 56*a*u**2 + 4*u**2 + 3*u*y - 3839 wrt a?\nAnswer: 2441*u**2*y - 56*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -17\/1322585 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-175)\/870 - (-9)\/261 - 3\/(-27)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70*d = 80*d - 127230. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-81*j - 1642*j - 207*j - 551*j)*(0 + 0 + 2 - 1 + 1 - 2 + (-3 + 1 + 3)*(-1 + 0 - 1)).\nAnswer: 4962*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1\/636 - 8059\/1908. Is 19 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 188046, 376110, 564174, 752238, 940302, 1128366?\n\"Answer: 188064*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 2, a: 6, f: 3, s: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r. Let z(p) be the first derivative of 313*p**3\/6 + 289*p + 120. Let f(v) be the first derivative of z(v). Give h(f(b)).\nAnswer: 313*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/4 - (1 + 1 + -5))*10088\/121056?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 43384 at most as big as 41594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/84)\/((-230)\/138)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 69*q + 3. Let k(v) = 117*v + 7. Let a(m) = -7*f(m) + 4*k(m). Let u(p) = -6*p - 3 + 4*p + 9*p. Calculate 4*a(z) + 9*u(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 8*c**2 - 25*c + 1. Let t be q(8). Suppose -39 = -a - t. Round a to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c + 0*c - 2*c - 4*c + c + c + (1 + 3 - 3)*(1 - 2*c - 1))*(2530*c**2 - 5684*c**2 + 2402*c**2).\nAnswer: 1504*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 121\/1230 and -37\/4510?\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 37*t**2 - 4*t - 1. Let r be b(3). Suppose -k - r = -6*k. Does 8 divide ((-3)\/(-2))\/(12\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = -3*s - 2*a, 2*a + 2*a + 138 = 5*s. Let w be 1\/5 - 186\/s. Let u be (-4)\/w + 100\/3. What is the greatest common factor of u and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1918 + -1918.000005796. What is y rounded to 7 decimal places?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, j: 1, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 + ((-4)\/10 - 68\/(-20)). Let u = 26 + -21. Let p = 4 + -1. Solve -p*b - 7 - c = 3*l, 2*l + u*b + 12 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7645107.24 rounded to the nearest 10000?\nAnswer: 7650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 304849439 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l**2 - 3*l - 3. Let o be x(-2). Let t be (-8)\/12*o\/(-2). Suppose 0 = -t*w - 22 + 127. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 6416, 6260, 5840, 5024, 3680, 1676, -1120?\n\"Answer: -22*j**3 - 2*j + 6440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/(-14)*63\/(-234). Sort 0.5, 8, p in increasing order.\nAnswer: p, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 1 - 2*r + 3*r + (1 - 5 - 1)*(-r + 8*r - 33*r).\nAnswer: 131*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.05 in 5, 2\/11, 31\/96, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1418*j*u - 308*j + 1974929*u wrt j.\nAnswer: 1418*u - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/11)*s*s**4)\/((s\/(s\/s**(1\/8)))\/s**(1\/2))*(s\/(s*s**1))**(-12\/19)\/((s**(-7)\/s)\/s**8) assuming s is positive.\nAnswer: s**(36491\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11531785411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 418 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2299 + -903. List the prime factors of l.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3762 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24 - -46. Let f = q - 16. Suppose -5800 = -11*l + f*l. What is l rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of 70*p**3\/3 + p**2 - 8*p + 65. What is the second derivative of x(q) wrt q?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*u + 7*u - 16*u)*(-4*u + 2*u + 3*u) + u**2 - 306*u + 26*u + 33*u to the form c + i*u + h*u**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 2*c**3 + 3*c**2 + 5*c + 1. Let r(g) = 5*g**3 + 5*g**2 + 9*g + 2. Let t(n) = 4*r(n) - 7*w(n). Determine t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i**2 + 1116*i + 103788 = 0. What is i?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 15) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -11*w - 69. Let f(x) = -5*x - 35. Determine -13*f(d) + 6*i(d).\nAnswer: -d + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 286\/359367 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o**3\/2 - 12*o**2 - 177*o\/2 - 117 = 0.\nAnswer: -3, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xtfrhxxtgtxt. Give prob of sequence xt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 1760*c - 19. Let w be p(1). Let d = w + -380. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -7. Let j(x) = -x + 8. What is -4*h(i) - 3*j(i)?\nAnswer: 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*n**2 + 144*n**3 + 0*n**2 + 2*n - 2*n**4 - 145*n**3 to the form x*n + b + s*n**4 + q*n**2 + c*n**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -k**3 + 1254858*k**2 - 2172104*k.\nAnswer: -6*k + 2509716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - -21. Suppose 5*q = 72 + y. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + 4 + (-28)\/7. Suppose 4*z = t*z + 4*g + 24, 0 = 4*z + 2*g + 2. What is the third derivative of 5*r**5 + 0*r**2 - 7*r**2 + r**z wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -48*l**2 + 189*l - 234. Let d(p) = 19*p**2 - 75*p + 94. Suppose 2*f - 39 = -29. Let o(g) = f*r(g) + 12*d(g). Factor o(q).\nAnswer: -3*(q - 2)*(4*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -120200003121 (base 4) to base 10.\nAnswer: -6422745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/90 + 18354\/21735. Solve 0 + 1\/5*w - 1\/5*w**3 + s*w**2 - 4\/5*w**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnbbnn. Give prob of sequence bnnb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -14039, -13937, -13767, -13529?\n\"Answer: 34*l**2 - 14073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 5*c - h - 77, 0 = -5*c - 3*h + 73. Suppose c*t - 140 = 10*t. Solve y = -k, 6*y - 4*y + t = 3*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 28*s**2 - s**4 - 3*s - 30*s**2 + s**3 - 2*s**3 as d*s**4 + z*s**3 + u + f*s**2 + g*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.99 - -1. Let y = -68.39 + 68. Let n = y - k. Which is bigger: -1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17.18 - -13596.64243.\nAnswer: 13579.46243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 96019 divided by 795\nAnswer: 96019\/795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 + 70*g**2 + 311*g + 26. What is the units digit of b(-64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 230274606692503 + -4.\nAnswer: 230274606692499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.015, -2\/9, 1, 0.005, 1\/2 in descending order.\nAnswer: 1, 1\/2, 0.015, 0.005, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/36 and 45\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v - 1. Let z be l(4). Let a = 18 + z. Let c = -96 - -136. Calculate the remainder when c is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -25, 34, 139, 296, 511, 790, 1139, 1564?\n\"Answer: s**3 + 17*s**2 + s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -14*q + 65. Solve 7*f - 7 = -3*x + 9*f, x - 3*f = q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20599967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 4. Suppose 2*s - 164 = -t*j, 0 = -5*j + 6*j + 2*s - 38. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.185767 or 0.5?\nAnswer: -0.185767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m + 191*k + 16 = 195*k, -4*m = -5*k + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of -v**5\/80 - 25*v**4\/8 + 101*v**3\/8 - 19*v**2 - 4*v - 48. Solve w(o) = 0.\nAnswer: -152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6478387*o**4 - o**3 - 3*o - 491737445 wrt o.\nAnswer: 25913548*o**3 - 3*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 12, -14, 0 in decreasing order.\nAnswer: 12, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/297 (b) 5 (c) -1 (d) -3 (e) 0.04 (f) 10.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of -z**4\/4 - z + 78. Let o(h) be the third derivative of -h**4\/12 - h**2. Calculate q(o(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1.131 take away -192513?\nAnswer: 192514.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 106807371497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes before 2:50 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7.4122 take away 455?\nAnswer: -447.5878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -283, -1006, -2023, -3196, -4387?\nAnswer: -5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 + 6*p**2 + 2*p + 2. Determine f(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5021.\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -223, -433, -623, -793, -943, -1073?\n\"Answer: 10*o**2 - 240*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -99138 by -6.\nAnswer: 16523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3883 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 + 7*o**2 + 2*o + 16. Determine s(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*m**4 - 2*m**4 + 145*m**5 - 309*m**5 + (-2*m**3 - m**3 + 4*m**3)*(2*m**2 - 4*m**2 + m**2).\nAnswer: -165*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -69801 - 603*w + 69801 as u*w + n and give u.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 0.06349813.\nAnswer: -0.19049439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24*(-7)\/448)\/(-3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, 1249, 0.06 in descending order.\nAnswer: 1249, 0.06, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of 0*r**2 - 1\/4*r + 2 + 1\/12*r**3. Determine y, given that z(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1254 - 1252. Let p = 13.6 + 20.4. Which is the closest to 1\/2? (a) p (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9528 + -9531. Sort v, 0.5, 34 in decreasing order.\nAnswer: 34, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kwc when three letters picked without replacement from cnwnwnncnanccwknw.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*p = 52*p - 1989. Calculate the greatest common factor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 4*o, -o + 3*o + 9 = 5*a. Let t(q) = 19*q + 3*q**2 - q - a*q + 6*q - 3. What is the tens digit of t(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2*y**3 + 17*y**2 - y - 25. Let p be r(7). Let k = 115 - p. Factor -12\/7*t - 4\/7*t**2 + k.\nAnswer: -4*t*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -121968 by -168.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*l + 1313 = -2*h + 1046, 731*h + 2*l = 726*h - 0*l + 93 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2\/4 - 588347*t - 2353387\/4.\nAnswer: -(t + 1)*(t + 2353387)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - 5 - 5 - 8) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -m - 2*m. What is the third derivative of -3*d**2 + 2*d**6 + 0*d**2 - m*d**6 - 6*d**2 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 228807, 228808, 228809?\n\"Answer: o + 228806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.296 + 151.704. Let h = 152.0000134 - k. Round h to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*o + 6*o - 576. Let b = o - -209. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 6981*f - 1 - 17 + 2.\nAnswer: 6981*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -2*k - 6, -3*a - 2*k = -7*a. Let q be (a\/(-3))\/(2\/12). Suppose -p - 3*p = -q*l - 12, -3*p - 4*l + 44 = 0. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 47*w + 50*w = -1041, 4*j = -w + 4216. Calculate the highest common factor of j and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2 - b - 4. Let d be i(3). Let a(h) = 5 - 10*h**2 + 3*h - 6*h**d + 15*h**2. What is a(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + (5 - ((13 - 0) + 116 + -108))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**2 + 3742*k**4 - 3733*k**4 + k**2)*(2*k + 5*k - 4*k).\nAnswer: 27*k**5 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2426331 - 433?\nAnswer: -2426764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = 5*b + 5. What are the prime factors of 2 - 6 - -1*b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6218189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 402, 393, 378, 357, 330?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -21*u**2 - 961*u - 146. Determine q(-46).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (-7 + (-3 - -2) - -33 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/7 and -87\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 3*x)*(3*x**3 - 3*x**2 + 3*x**2)*(-37 - 11 + 6).\nAnswer: -378*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j + 8. Let w be m(5). Solve w*d + 9 = 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence buf when three letters picked without replacement from fbebfubbffbzb?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pmmmmmmmmpmp. What is prob of sequence ppmm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -2*z - 10, -25 = 4*g - 0*z + 5*z. Solve 3*a - 6*a - f = g, -2*a = 3*f - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*u = 3319 + 2060. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -459 divided by 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, a: 4, d: 1, u: 1, j: 1, z: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2053, 4196, 6339, 8482, 10625, 12768?\nAnswer: 14911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 + -20. Suppose -5*g + 20 = 0, 2*y - 4*y - 4*g - 1106 = 0. Find the common denominator of d - 2 - y\/60 and 1\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3468920*z**2 + 10165126?\nAnswer: -6937840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 3*c - 7. Let b be u(4). Suppose -3*m - 2 + b = 0. Let i(v) = 15*v**3 - v**2 + 1. What is the remainder when 27 is divided by i(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24 + 27. Let x be 10\/5 + 0 + l. Suppose 0 = x*i - 1 - 4. Solve 0 = u + i + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52156 is divided by 52138.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j = 618 - 1689. Find the third derivative of s**2 + j*s**3 + 13*s - 577 + 577 wrt s.\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2230*m + 3774. Does 172 divide f(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*j - 44*j**4 - 3723 + 3723 + (-j**3 + j**3 + j**3)*(j + 0*j - 3*j) in the form d*j**3 + o*j + i*j**2 + n*j**4 + r and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - v - 2*v = 23, 0 = 3*v + 3. Suppose -4*b + 38 = t*u, 5*u - 4*b = -9*b + 35. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77692052 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 143249815\/41 + -3492811. Let l = -1087 + r. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 60*t**2 - 334*t + 136. What is the tens digit of p(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7753, -7753, -7751, -7747, -7741, -7733, -7723?\nAnswer: -7711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -13, -126376.\nAnswer: -126376, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 8 = -0. Suppose -2*z - 12 = z - 3*q, -3*q = x*z - 12. Suppose z = -4*y + y. Solve p + y = -4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, y: 4}. What is prob of picking 1 x and 1 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is d in 5*d**2 + 3990*d - 8000 = 0?\nAnswer: -800, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -625 = -97*k + 1703 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-16833)\/(-11) - (-9)\/(-1485)*45. Calculate the highest common factor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.302 - 4.39777. Round d to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 - 122003?\nAnswer: -122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 4 + 19 = 0. Find the second derivative of 134*o**2 - 63*o**2 + h*o + o**3 - 70*o**2 wrt o.\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 2*z + 3*p - 14019, -17550 = -5*z + 5*p. Suppose -2*q - 4*s + 573 = -z, -8154 = -4*q - 5*s. Suppose 4*d + q = 8*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/10, -0.3, -4, 2\/11, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, h: 3, s: 2, u: 4, c: 2, l: 2}. What is prob of picking 2 c and 1 l?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n - 737 = 583. Let i = 315 + n. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5 + 4)*(0 + -5). Let o be ((-1)\/q)\/(4\/(-10)). Suppose 5*g - 5*n = 20, -4*g - n + 4*n + 11 = 0. What is the closest to g in -0.3, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**2 + 0*u + 0*u)*(0*u + u + 2*u) - u**3 - 3*u**2 + 3*u**2 - 2*u**3 + u**3 - u**3 + (-u**2 - 4 + 4)*(2*u - 1 + 1).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-5\/3))**(-13)\/((h*h\/(h\/(h**(-1\/8)\/h)*h)*h*h*h)\/h)**(-32) assuming h is positive.\nAnswer: h**(149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + (34 - 70) + 4 + 48.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -3*m - m - m - 15 - 7*m. Let s(q) = 4*q + 5. Suppose -2*x - 49 = -9*x. Let o(j) = x*s(j) + 2*b(j). What is the first derivative of o(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 2*s - s = -1, -4*n = -4*s + 12. Calculate the lowest common multiple of 141 and (18\/(-10))\/(415\/(-50) - n).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 74 - 52. Let c = 21.9 - i. Let j be (2\/4)\/(0 - -2). What is the closest to c in j, -3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -164*f + 170*f = -3600. Let b = -1 - f. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**3\/3 + 1089025*r**2\/12 - 3088483408*r + 386059008.\nAnswer: -(r - 68064)**2*(8*r - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.97 - -1. Let a = p - -3.97. Let q = a - 4.0000015. Round q to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -167*r**4 - 167*r**4 - 190*r**4 + (-3 - 2*r + 3)*(5*r**3 - 5*r**3 - 2*r**3) - 2*r**4 + 2*r - 2*r.\nAnswer: -522*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 1710280 by 8.\nAnswer: 213785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f**2*n**3 + 25*f**2 + f*n**4 + 12*f*n**2 + 7*n**5 wrt n.\nAnswer: -12*f**2 + 24*f*n + 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -10*f**2 - 4*f - 5. Determine c(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9.4 + 6.4. Let h = 54 - 53.8. What is the second smallest value in o, h, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**2 + 5*f**2 - 2*f**2)*(6*f**2 + 5*f**2 - 6*f**2) + 29 + f**4 - 196280*f - 43*f**3 + 196280*f.\nAnswer: 11*f**4 - 43*f**3 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + -3. Let r = 2.18 - 3.99. Let m = 3.19 - r. What is the second smallest value in m, 0.4, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -4*k - 44. Is 1*-26*253\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -239 - 985 = 9*w. Let y = w + 169. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/15*-5*(-2)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8212708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.7, 0.1, 2, 0, 6186?\nAnswer: 6186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -445 = 16*i - 301 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 14 - -b37?\nAnswer: b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 113 - 8. Suppose 3*g + t = 5*a - 2*g, -9 = -a + 4*g. What is the derivative of 23 + 32*b**2 - a + 24 wrt b?\nAnswer: 64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -13*j*m**2*z - 3328*j*m**2 - 5*m**2*z + 305*m*z - 9 with respect to z.\nAnswer: -13*j*m**2 - 5*m**2 + 305*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 9*a**2 - 1054*a - 1961. Determine g(119).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*h - 11*h + 16*h - 4*h - 11*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 914.1372 and -67262.8.\nAnswer: -66348.6628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.8 - -0.3. Let l = r + 0.4. Let v = l - 0.4. Which is the closest to 1? (a) 0.1 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the second derivative of q**8\/840 - q**5\/30 + q**3\/3 + 3*q. Let j(y) be the second derivative of m(y). Find the second derivative of j(n) wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4275*x**3 + 3098*x**3 - 1484*x**3.\nAnswer: 5889*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 12707603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 + q. Let k(w) = -26*w**3 - 5*w - 4. What is 5*i(m) + k(m)?\nAnswer: -21*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 26*a. Suppose -2*k - 4*b = 34, -k - 3*b = 3*k + 68. Suppose -2*n + 24 = 2*n. Let o(s) = 9*s. Determine k*o(q) + n*x(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115 - 97 = -7*p - 2. What is the greatest common divisor of p and 13800?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 - 14*z - 21. Let b be i(-12). Solve 5*t - 7 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of z**7\/840 + z**6\/40 - 11*z**5\/120 - 5*z**4\/12 + 43*z**3\/3 - 45. Let j(i) be the third derivative of g(i). Calculate j(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91519.\nAnswer: 71, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -97*j**3 - 98*j**3 + 1 - 105*j**3 + 11*j**2 + 304*j**3 to the form l*j**3 + s*j + g + w*j**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 + 8*y + 17. Let o(k) = 2*k**3 + 21*k**2 + 25*k - 9. Let m be o(-9). Let s be z(m). What is the highest common divisor of s and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 + t**2 + 1237*t + 36. Give f(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of -2*d**7\/105 + 2*d**6\/15 - d**5\/15 - d**4 + 2*d**2 + 56. Suppose s(i) = 0. What is i?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11111101 + 10?\nAnswer: -11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 20 = -g - 5, -5 = p - g. Let i(t) = -t. Let s(y) = 6*y. Let c(v) = -2*i(v) + s(v). Let a(w) = 7*w. Determine p*c(k) + 7*a(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 32173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/7 - 18\/(-7). Let r be (0 - (-2)\/g)*17. Let j = r - 4. Solve l - 6*t + 4*t + j = 0, 0 = 2*l - t + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 23 - 10. Let n(c) = c**2 - 10*c + 16. What is the tens digit of n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fpfp when four letters picked without replacement from pppfpppfpp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 259151903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/100)\/(12*5\/200)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(504)*1 - sqrt(504))\/sqrt(12))\/(sqrt(726) - (sqrt(726) - (sqrt(726) - (-2*sqrt(726) + sqrt(726)))) - sqrt(6)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(150)\/sqrt(3)*-6 + (-2*sqrt(150))\/sqrt(3) + sqrt(50))*3)\/(sqrt(640)*-2 + sqrt(40)\/(sqrt(16)\/sqrt(4))).\nAnswer: 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1\/3)*u**(-3\/2)\/u)**(-1\/2) assuming u is positive.\nAnswer: u**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-18874)\/3)\/((-4)\/6). Let p = -6166 + t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -342.9593 - -343. What is j rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -470? (a) -1\/4 (b) 0 (c) -1 (d) -2\/7 (e) 4\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 506 and 5612.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2304\/88 + -1 + 18\/22. Calculate the highest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -969.8? (a) 0.2 (b) -2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/44448 and -73\/13890.\nAnswer: 222240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 4\/2*230\/115\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1320 + -887. What are the prime factors of r?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 643 - 604. What is the remainder when ((-3)\/(-2))\/((-2)\/(-308)) is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z + 2*z**2 - 4 - 3*z**3 + 2 + 2 to b*z**3 + n*z**2 + y + h*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**5\/4 + 51*n**4\/2 - 2097*n**3\/4 - 1126*n**2 - 576*n = 0. What is n?\nAnswer: -1, 0, 32, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 20 and 46392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 127856 and 8122?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqj when three letters picked without replacement from jqgqjjgqjgjjqqjgjqj.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (50*w**2 - 599*w**2 + 324*w**2)*(-6 + 1 + 0)*(-3 + 2 - 1).\nAnswer: -2250*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-4)*2*-4. Let y be 0\/(6\/3)*(-3)\/3. Let s be (-1 - 1 - (y + -3))*10. Solve t - s = -x*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(40) - (sqrt(40) - sqrt(120)\/sqrt(3))*4 - sqrt(40))*3)\/(-3*sqrt(56)\/(sqrt(7)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**(1\/12)\/i)*i*i*i*i**(4\/9))\/(i**(-1\/5)\/i**(2\/25)) assuming i is positive.\nAnswer: i**(5077\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**2. Let b(s) be the second derivative of -7*s**4 + 18*s - 2. What is r(b(k))?\nAnswer: 7056*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2674 - -2671. Which is the smallest value? (a) 0.3 (b) 2\/35 (c) p (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 145*r = 33*r + 76*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4867 or -540164\/111?\nAnswer: -4867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 7 + -11 + (-52)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 25 + -25. Let c be g\/(2 + -1 - 2). What is the derivative of 12 - 5 + c*b - 3*b wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 6*r**3 + 38*r**2 + 5*r + 13. What is w(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11297*x**4 - x**3 + 38276*x**2 wrt x.\nAnswer: 271128*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from kvbkubkhbhkbkkubuh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 159.10005974 - 159.1. What is f rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*k = -2039 - 541. Calculate the least common multiple of k and 3.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 11:50 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/135*-6)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -983*k + 2959*k - 980*k - 1013*k. Let b(x) = -18*x**2 + 5. Determine b(i(w)).\nAnswer: -5202*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 9047 + -2?\nAnswer: 9045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5107*i + 5115*i + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -7516, -7509, -7502?\n\"Answer: 7*g - 7523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1523 - -1528. Let o(b) be the third derivative of 1\/3*b**3 + 0*b - 1\/18*b**4 + 0 + 11*b**2 + 1\/270*b**z. Factor o(d).\nAnswer: 2*(d - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -260 (base 9) to base 3\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*1*5\/(-10))\/((-9)\/(-126))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-674967)\/90 - 10\/15. Let m = 7510 + s. Calculate the common denominator of m and -5\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 3 (c) 1.666 (d) 4 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 3 - 2 + 7 - 4 - 2 - 2 + 3 + (1 - 4 + 1)*(2 + 2 - 3) + 3 + 0 - 2 + 2 - 1 + 1 + 4 - 5 - 2)*(2*f + 2*f - 5*f)*(0 + 4*f + 0).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*g**4 - g - g**4 + 6 - 2*g**3 + 4*g**3 to the form o*g**4 + d*g + t*g**3 + p*g**2 + b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2989.809 grams in micrograms?\nAnswer: 2989809000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 373806 divided by 19?\nAnswer: 19674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21741765 is divided by 1278927.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-20)\/(-11) + (-15)\/((-660)\/8). Suppose 14 = 6*r + c. Solve r*g - g = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((j**2 + 5*j**2 + 3*j**2)*(-1 + 2*j + 1) + 4*j**3 + 0*j**3 - 3*j**3)*(1 - 4 + 2) as c + v*j + d*j**3 + s*j**2 and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(3) + 4 + 5*sqrt(300).\nAnswer: 2 + 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2854 = b - 4*j, -10*b - 19843 = -17*b + j. What are the prime factors of b?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 4799998 = -n + 2*g, 3*n = g - 4800001. What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*m*p**2*q**3 + 5*m*p**2*q - 589*m*p + 22*m*q**3 - 4*m*q - 2*m + 10494*p**3 + p*q wrt p?\nAnswer: 10*m*q**3 + 10*m*q + 62964*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l**3 - 129624*l**2 + 1050019200*l + 2100556928 = 0 for l.\nAnswer: -2, 16204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135098 is divided by 772?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32267, -32270, -32285, -32318, -32375, -32462, -32585, -32750?\nAnswer: -32963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of z**7\/504 + 3*z**4\/8 - 5*z**2. Let i(q) be the second derivative of f(q). Let k(r) = 2*r. Determine i(k(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 + 2)*(-4)\/(-4). Suppose -7 = 2*t - s*z + z, -3*t + 3*z = 3. Is (t\/9)\/(4\/(-222)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1350? (a) -840 (b) 2\/15 (c) 2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -28 greater than -2\/111557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 834661\/7 equal to 119237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1548893697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.11 - -4.99. Let j = d - 5.099991. What is j rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 + 18*f**2 - 13*f + 1117. Determine h(20).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -5*g + 13. Give u(14).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 999 divide 873202923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1412 = 3*i - 421. Suppose -3*c = k + 774 + i, -2*k - 2764 = 3*c. Let l = -6862\/5 - k. Find the common denominator of 74\/9 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 6 = -3*h, 0 = -3*b - 4*h - 98 + 78 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11 + 44. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from sfzrs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 115824 and 0.2.\nAnswer: 23164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (u - 3*u + u)*(12 + 19 + 25 - 65 + 8 - 19092*u).\nAnswer: 19092*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ib when two letters picked without replacement from immib?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/(n*n\/n**(-14))*n**(-2\/29)*(n**(-1\/4)*n)**(2\/35) assuming n is positive.\nAnswer: n**(-30503\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 23*m**2 - 23*m + 24. Let i be 48\/(-20)*1\/(4\/(-110)). Let d = i - 44. Let y be k(d). Are -0.2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 939, 2452, 5111, 9492, 16171?\nAnswer: 25724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 27102, -50 in decreasing order.\nAnswer: 27102, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 519925 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.5 and -125327.\nAnswer: 187990.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/126 and 74\/128655.\nAnswer: 1801170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 19504051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a**3 - 711364*a**2 - 2845432*a - 2845424 = 0. Calculate a.\nAnswer: -355678, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 62*d + 549. Determine q(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 12*a**2 - 17*a - 150. Let d be r(14). Solve -6*t + 3*x = -d*t - 12, 2*x + 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8\/32 + (-31)\/(-4). Which is the second biggest value? (a) -2 (b) h (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}