{"text":"Question: Which is greater: 20\/3591 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 34\/5 - (-2)\/10. What is the smallest common multiple of 1\/1*7\/h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 12+-23359.54\nAnswer: -23347.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/487, -0.5, -2\/3, 2998, -9?\nAnswer: 2\/487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10994*d - 11109.\nAnswer: -10994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 - 17. Suppose -s*c + 2 = -c. Suppose 0 = b - c*b + 6. Solve k + 3 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28813333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5916286720 minus -57?\nAnswer: 5916286777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -339 + 339. Let r = 5 + -13. Let a be 36\/r*(k - -408888) + -4. Round a to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -48, -2 in ascending order.\nAnswer: -48, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 - 3*p**2 - 8*p + 1. Let i(f) = 2*f**2 - 17*f - 25. Let t be i(9). Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h**3 - 4*h**2 - 586*h + 15. Let u(f) = -f**3 + 2*f**2 + 293*f - 7. What is -2*s(d) - 5*u(d)?\nAnswer: d**3 - 2*d**2 - 293*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 114, 142, 226, 366?\n\"Answer: 28*b**2 - 56*b + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 8*w**4 - 90*w + 2*w**2 + 90*w in the form j*w**2 + k + f*w + t*w**4 + g*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 28625043 to the power of 1\/2, to the nearest integer?\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand a + 1 - 1 + (-2*a + 4*a - 4*a)*(2 + 21 - 9) + (1 - 3 + 6)*(-3*a - 2*a + 4*a) + a - 2*a - a.\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 5, t: 2, p: 2}. Give prob of picking 2 t and 2 h.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 121 - -3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 68 + -66. Solve c + 3*f - 8 = 0, -k*c + 4*f = -c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 14 = 4*c, -95*v + 92*v = 4*c - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11.77226 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z - 4. Let u be h(6). Let g be (-52)\/(-24) - u\/3. Let w(x) = -x**2 + 7*x - 2. Let t be w(6). Which is the biggest value? (a) 2 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -1, -55 in descending order.\nAnswer: -1, -7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(180) - sqrt(180) - (0 + sqrt(5) + sqrt(10)\/sqrt(2)) - 3*(sqrt(605) - (sqrt(605) + -2 - sqrt(605)))) + 3)**2.\nAnswer: 210*sqrt(5) + 6134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -95*h**6 - 313*h**4 - 980969*h**2 wrt h?\nAnswer: -11400*h**3 - 7512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 27\/(-28) + (-68)\/238\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1203 + -134311440?\nAnswer: -134310232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-8))\/((-19)\/(-3420)*-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 117*r = -122*r - 9566, 3*i = -5*r + 28618. List the prime factors of i.\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 4 = 2*d, -n + d = n + 4. Suppose -2*j + k - 3*k - 58 = 0, -53 = j - 5*k. Let w = -34 - j. Put w, 2, -6, n in decreasing order.\nAnswer: 2, w, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the second derivative of 7*l**6\/15 - 3*l**4\/2 + 70*l**3\/3 - 21*l - 1. Find the second derivative of n(v) wrt v.\nAnswer: 168*v**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1266371, -2532709, -3798949, -5065043, -6330943, -7596601, -8861969?\n\"Answer: 8*p**3 + p**2 - 1266397*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.18018 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 3765844, 3765838, 3765826, 3765808?\n\"Answer: -3*u**2 + 3*u + 3765844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (11\/3)\/(5\/15). Suppose -4*k = 5*m - 2, -k - 2*m = -6*m - d. Differentiate -q**k - 3*q**3 - q**3 + 6 - 4 with respect to q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -j - 11, -3*p + 4*p + 5*j + 19 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q**3\/7 - 10*q**2\/21 - 44*q\/7 = 0. What is q?\nAnswer: -22\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 2, 1\/49, 670, -2\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*k - 330 - 121 = -83 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-167)\/11 - 2\/(-11). Let t be 6032\/3 + (-5)\/k. What is the third derivative of t*b**2 - 1999*b**2 - 3*b**4 + 6*b**6 + 3*b**4 wrt b?\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 907878485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -60.3 - 5.7. Let l = 332 - 399.08. Let z = i - l. What is z rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-16 - 96\/(-16))\/1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the first derivative of -2*r**3\/3 - 7*r - 1. What is the first derivative of w(a) wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3488*g**4*o - 987*g**2*o*q**2 + 137*o*q**2 - 340057*q**2 wrt g?\nAnswer: 13952*g**3*o - 1974*g*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)*-1*6 + sqrt(77))\/((sqrt(147)\/sqrt(3))\/sqrt(7)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 60867, 243477, 547799, 973809, 1521483, 2190797?\nAnswer: 2981727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*r = 17*r + 40. Let u be (-4)\/r - (-149)\/5. Suppose h - 4*h = -u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 2*z + 16912 = 4518, 0 = 5*z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from ceeecc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (314*a - 79*a**3 - 314*a)*(a**2 + a**2 - 5*a**2) + 178*a**5 + 12 + 183*a**5 + 2*a**4 - 359*a**5.\nAnswer: 239*a**5 + 2*a**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -20, -18, -10, 4, 24?\n\"Answer: 3*t**2 - 7*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 7, -1, 9, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-324)\/135)\/((18\/57)\/(60\/(-8)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 159308119.8 rounded to the nearest 1000000?\nAnswer: 159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 21*n**2 - 249*n + 14. Let v be r(11). Let x = 111 - v. Calculate the remainder when x is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7579 or 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 + (-12 - -7) - 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 424 in -5\/2, 0.4, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (7\/3)\/((-7)\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -68, -148, -226, -302, -376, -448?\n\"Answer: q**2 - 83*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*b - 14 = -25*b. Let z(p) = p**2 - 3*p + 1. Let g be z(3). What is the greatest common divisor of b and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -13*i**3 - i**2 - i + 1. Calculate the least common multiple of 170\/4*(-16)\/(-20) and s(-1).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 + 12*y**2 - 8*y - 5. What is the units digit of d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -7*t - 2. Let m(h) = -18 + 14*h - 37*h + 18*h + 18. Calculate o(m(r)).\nAnswer: 35*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 + 8 - (-13 + 19)) + -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 15*(((-2)\/9)\/((-180)\/(-810)))\/1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 248 = 5*y + 218. Let t be y\/((8\/116)\/1). Calculate the highest common factor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 163\/1440 and 97\/1584.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**2 - 11*n - 2. Calculate the remainder when x(-9) is divided by ((-9)\/5)\/((-2)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9971984 to the nearest integer?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2. Suppose 0 = -3*z - 2*z + 135. Suppose 23 = -4*r + z. Determine s(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*c + 19 + 5 + 7 with respect to c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that x**2 + 33*x + 62 = 0.\nAnswer: -31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 498*a + 192*a + 866*a = 43568 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-180)\/35)\/3)\/((-54)\/252).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of -33*h + 1\/12*h**4 + 0 - 2*h**2 - h**3. Calculate y(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 19.8 and -4.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1158578 is divided by 388?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12737749.\nAnswer: 97, 131317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 - 3*p. Let m be r(-2). Suppose 0 = 2*q - 4 - 2. Suppose 3*c = -i - 3 - 0, -q*c - 3 = 4*i. Solve k + m*k = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k + 1. Let m(c) = c**2. Let g be m(-1). Let n(j) be the third derivative of -1\/6*j**3 - 1 + 1\/6*j**4 - 11*j**2 + 0*j. Determine g*n(p) + i(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*i + 8*i + 520. Let x be ((5\/2)\/(-5))\/(1\/i). Do -66 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68*u - 71*u + 9 = 0. Let w(q) = -q**2 - q - 1. Suppose k = 3*k. Let o be w(k). Put 5, u, o in increasing order.\nAnswer: o, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of r**4\/12 - r**3\/6 + r**2\/2 + 2*r. Let n be w(1). Let i be 1 + (n - 2) + 3. Which is the biggest value? (a) i (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -2*c - 20. Let t be z(-10). Solve t = 3*q + 2 + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**3 + 6*h**2 + 4*h + 10. Determine z(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -509 - -347. Let a = -161.881 - d. What is a rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -13\/7 (b) 1\/5 (c) -3\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u = -6*q + 3*q + 124 - 24, 0 = 28*q - u - 1010 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*g - 15. Let t be (0 - -1)\/((-1)\/15). Let b be g\/(-75)*t\/(-9). What is the closest to -0.1 in b, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -24. Calculate the least common multiple of 8 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -3*u - u + 10, -3*j + 5*u - 40 = 0. Suppose 2*a + 4*z + 10 = 0, -a + 9*z = 6*z + 5. Is a < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3275307 and 17150?\nAnswer: 163765350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -1 + 18 + -1 + (17 - 13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2203, -2200, -2187, -2158, -2107, -2028, -1915?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*h**2 - 3*h**2 - 9*h**2 - 5*h**2 + h**2 + 2*h**2 + h**2 + 2 - 2 - 3*h**2 - h**2 + 5*h**2 + (-1 + h**2 + 1)*(-1 + 3 + 0).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/11*z**3 + 6\/11*z - 2\/11*z**5 + 4\/11*z**2 - 6\/11*z**4 + 2\/11.\nAnswer: -2*(z - 1)*(z + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -59 - -59. Suppose m*b = b - 4*i - 243, 5*b - 5*i - 1275 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/9360 and 79\/166?\nAnswer: 776880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:23 AM and 9:14 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-20*114\/3040))\/(8\/618)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -175.2 - -199. Let r = 24.1 - q. Let n = 9 - 14. What is the second biggest value in -4, n, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {i: 4, r: 3, n: 1, q: 2, d: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 9. Let c = q - -9. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of -k**2\/2 - 1. Let g(n) = -7*n + 12. Let m(v) = 18*v - 26. Let o(q) = -13*g(q) - 6*m(q). Calculate l(o(r)).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5106025 and 2338?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102*j + 103*j - 80 = 0. Suppose -468 + 2220 = 2*c + 2*x, 1780 = 2*c - 5*x. What is the greatest common factor of j and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*f - 2460 = 33*f + 3535 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 5*v = -5. Suppose -8 = -4*m + 2*m + 4*x, -25 = -5*m + v*x. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323 a factor of 255601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.197 - 0.097. Let i be (0 - (-1487)\/(-7)) + 0. Let k = 212 + i. What is the nearest to g in k, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 21 - 21 + 11*q. Let l(u) = u - 3. Let x(w) = -1. Let j(c) = -l(c) + 3*x(c). What is j(m(k))?\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.11, 4, -3\/2, -2\/17 in ascending order.\nAnswer: -3\/2, -2\/17, 1.11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 13 - (1 + 6 + 0) - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*w - 217 = 22 - 116 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y - 1. Let i(b) = b - 1. Let p be i(-4). Let d be w(p). Suppose -2*g - 20 = -4*g. Solve -6 - g = -d*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 - 2. Suppose 131 = 4*u + v. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 6384\/378 - ((-3)\/27 - 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 123, 331, 621, 1005, 1495?\n\"Answer: 2*b**3 + 29*b**2 + 107*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 73373364 and 13680?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*m - 4*m - m**2)*(4*m**2 + 9*m - 9*m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3912 (base 14) to base 7\nAnswer: -41122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 745 = 5*c + 5*t, 4*c = -5*t + 878 - 280. Let o be (21\/c)\/((-2)\/4). Sort o, 1, -7 in ascending order.\nAnswer: -7, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 5*z**3 - 31*z**2 - 47*z + 334. List the prime factors of m(23).\nAnswer: 3, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2 - 8*a - 9. Let r be q(-6). Suppose r*t - 5 = 4. Suppose t*y = m + 4, 3*m + 0 - 6 = 3*y. Solve y*u - 25 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 6150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-3 + -5 + -5*(-5*sqrt(363)*-1)**2 + 2)*5.\nAnswer: -226910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -0.3, 0, -12 in descending order.\nAnswer: 0.5, 0, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16372391 is divided by 757?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44888678 is divided by 151.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 10342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1952008 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the first derivative of -v**4\/40 + 371*v**3\/30 - 369*v**2\/10 + 7289. Find u, given that m(u) = 0.\nAnswer: 0, 2, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -5*t. Let d = 5 - 6. Let a be z(d). Let m be -2 - (-1 + 9\/(-6)). Put a, -0.5, m in ascending order.\nAnswer: -0.5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6 - -9) + 3 + -4. Solve 0 = w - u - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17\/((-459)\/(-360))*1998\/(-555)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - 0 - (-7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/44 and 25\/3792.\nAnswer: 41712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3\/5 or -0.238?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 688, 1338, 1988?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -14. Let q = g - 4. Solve q*k - 7 = 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 951 and 23127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-2)\/6)\/(4\/(-324))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16258.\nAnswer: 2, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 602.6429l?\nAnswer: 602642.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1768 divided by -104.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 210703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 - 19*o**2 + 22*o + 22. Let z be s(-20). Let d = z - -57. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7*13\/65)\/(7*(-6)\/(-42))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 5*d - 7. Let o be v(7). Let s(h) = -6 + o*h - 2 - 11*h + 3. Give s(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14429 is divided by 158?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1184805 and 1130?\nAnswer: 2369610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - 110*w + 113*w = 2, 4*w - 21 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 475\/3 + -157. Calculate the common denominator of -107\/18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 + 8. Let m = 0 + 0. Solve 0 = -m*h - h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 14) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -282 divided by 47\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.0423 in 3.6, -3, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -24*g - 888. Calculate t(-39).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 101487*f**4 + 42*f - 219309498.\nAnswer: 405948*f**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 20173806 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -9, -16, -33, -66, -121?\n\"Answer: -j**3 + j**2 - 3*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**2 - 17*n + 6 + 12*n + 2. Let q be -3 - (-1 + 8\/4 + 1). Let l(w) = w**3 + 3*w**2 - 9*w - 1. Let a be l(q). Calculate s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*(-65)\/26*(-18)\/(-30). Which is the nearest to -3? (a) -6 (b) q (c) -2\/19 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 - ((-4 - -24) + -80 + 65).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 - 8*l**2 - 6*l + 3. Let d be m(9). Let j = d - 42. Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (6\/2)\/(-3)*0. Suppose 5*h - 4*v = -7, r*v - 19 = -4*h - 5*v. Does 12 divide (-30)\/h*36\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 1761592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2.6885 rounded to 2 decimal places?\nAnswer: -2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 7*n + 30. Is 209 - (-5 - -8)\/(n\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100867?\nAnswer: 13, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -25*s**2. Let g(t) = -t**2 - 2*t - 1510. Give g(h(x)).\nAnswer: -625*x**4 + 50*x**2 - 1510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 - (0 + 2) - (-7 - -11). Let g(b) = b**3 + 5*b**2 + 1. Let w be g(-5). Let f(q) = -3*q**2 - 5*q - 5. Let y(r) = -r**2 - r - 1. Give a*y(o) + w*f(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of m**6\/135 + m**5\/30 + m**4\/27 - 10*m. Solve x(n) = 0 for n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (5 - (-240)\/(-18)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -12494*i**2 - 12498*i**2 + 24994*i**2 - 159 + 5*i in the form s*i + d*i**2 + q and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/1833 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the third derivative of c**8\/1344 + c**7\/210 + c**6\/240 - c**5\/60 - c**4\/32 + 11*c**2. Let u(n) = 0. Calculate n.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 4*w**2 + 20*w - 3. Let t(r) = r**3 + 28*r**2 + 27*r - 5. Let v be t(-27). Let a be b(v). What is the third biggest value in a, -0.3, 1\/12, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (28 + -43 - (-9 - (3 + -6))) + 7 + 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 585.02 - 571. Let l = m - 14. Let r = 3.98 + l. Which is the smallest value? (a) 2 (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1553?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12430 - -12430. Solve -x - b + 3 = a, -x - 9*b + 5*b = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h + 528 = 2256. Does 36 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 225, 4, -3, 5 in descending order.\nAnswer: 225, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 121 a factor of 45000422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 179463 is divided by 754?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 2:36 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from jvggjfjggfgjvfg.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11659*n + 76 - 23451*n + 11794*n.\nAnswer: 2*n + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -5*y + 6. Let i(f) = -f + 1. Let g(b) = -6*i(b) + j(b). Let r(p) = p**2 + 8*p - 1. Let x(c) = 24*g(c) - 3*r(c). Factor x(w).\nAnswer: -3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13428165?\nAnswer: 3, 5, 895211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 + p**2 - p + 8. Let u be y(0). Let k be (4\/(-5))\/((-1)\/10). Is u less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**13)\/(a\/a**4*a))**(2\/11)*((a\/(a\/a**1*a*a)*a)**(-2))**(-2\/33) assuming a is positive.\nAnswer: a**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h + h - 43*h**3 - 68*h**3 + 177*h**3 + 11*h**3.\nAnswer: 77*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 - -31. Let t be (-82)\/(-2) + (2 - -1). Suppose 4*v - 100 = t. Calculate the lowest common multiple of v and a.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 619.5771 and -9?\nAnswer: -5576.1939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/13 (b) -1 (c) 32 (d) 2 (e) 5 (f) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1544843837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 814 is divided by 251.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = 3*r - 23. Suppose 0 = -r*s - 5*k - 15, -5*s - k = -0*s - 20. Suppose s*t = x - 166, -2*t = 3*x - 3*t - 442. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 3832*u**2 + 1065*u + 10. Let y(c) = 3833*c**2 + 1056*c + 12. Let r(k) = -6*b(k) + 5*y(k). What is the second derivative of r(s) wrt s?\nAnswer: -7654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -5 (c) -0.11148 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/4970 and -53\/16.\nAnswer: 39760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -3, -0.4, -214?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*y + 8 = -3*y + 5*p, 7 = -p + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11*b**3*q - 3*b**3*z**3 + 2*b**3*z**2 + 41*b*z - 241*q*z**3 + 2*z**3 wrt q.\nAnswer: 11*b**3 - 241*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -23 - ((1 - 0) + -8 + -1 + 10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -4294\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/1332 and -151\/990?\nAnswer: 73260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-40)\/(-15) - 3)\/1. Which is the second biggest value? (a) -0.02 (b) 3\/4 (c) w (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8\/117 - -2\/9. Suppose 0 = 4*r - 2*b - 20, -5*r + 3*b = -3*r - 18. Put 0.4, r, y in increasing order.\nAnswer: y, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -163406 times -10?\nAnswer: 1634060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 4a65 (base 11) to base 12.\nAnswer: 39a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 54*c - 13 = -51*c, 10*o + 6 = c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12 or 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -3) + -3 + 10 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 328*x**3 + 1216900*x**2 + 74200*x = 0.\nAnswer: -3710, -5\/82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51 - -49. Let c be ((-28)\/(-10) + 0)\/(r\/(-5)). Let x(w) = -4*w**3 + w**2. Let k be x(-1). Solve 3 = k*b - c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000526 to six dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -5*z + 7*q + 50575, -z = 2*q - 10121. Suppose 48070 = 5*r - 4*u, -5*u + z - 58192 = -5*r. What is r rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in fourty-four fifths of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 3 = -57. Let z(q) = q**3 + 3. Let a be z(0). What is the highest common factor of o and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, o: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 0.0185?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0.05 times 17377753\nAnswer: 868887.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4 - 16)*(-9)\/12. Suppose -l = 3*f + 12, 4*f = l - 0*f - u. Does 14 divide ((-28)\/l)\/((-1)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 807118 and 5.\nAnswer: 4035590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 898057.849 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 22*c**2 + 15*c - 16. Let o be k(1). Solve -17*j = -o*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5975 + 9949. What are the prime factors of t?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3 + 1 - 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 5*z - z + 21, 0 = -z + 3*n - 7. What are the prime factors of (2 + 2 + z)\/1 + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*y - 4*a, -4*y - 5 = -5*y - 4*a. Suppose -h + 5*m + 7 = 0, y*m = 3*m. What is the least common multiple of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 2*h - 2. Suppose -18 = -5*c - h*u, 2*u - 10 = -3*c - 0*u. Let v(i) = -i**3 + 4*i**2 + 2*i - 5. What is v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -135*b + 142*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/14 - 416\/(-14). Suppose -q = -9*f + 4*f. Let o(d) = -d**3 + 6*d**2 + 5*d + 2. Let j be o(f). What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 4*h + 3. Suppose h*x - 5*x = -100. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 637*h**2 - 33*h - 32. Let w(f) = -213*f**2 + 12*f + 11. What is -4*k(x) - 11*w(x)?\nAnswer: -205*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8.7 + -13.7. Let v = 1315 + -1318. Which is the nearest to -1? (a) j (b) -3\/2 (c) -4\/7 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15)\/(-6) - 511\/210)*-165?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/48)\/((-18)\/(-16))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2 + 16*y - 10. Give x(20).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 + 17. Let q be z(6). Let r = q - 51. Solve 7 = -j + r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b. Suppose 4*j + 15 = 3. Let q(h) = 3*h**2 + 2*h + 1. Let r be q(j). Let w(a) = -11*a + 15*a - r*a. Give f(w(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*l**2 + 29 + 26 + 28 - 83.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7202 - -7202. Let y(p) be the second derivative of 0 + 1\/20*p**4 + f*p**2 - 25*p + 1\/10*p**3. Factor y(i).\nAnswer: 3*i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 28.95 + -27. Let k = -0.05 - d. Let i = 2127 - 2128. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -646 = -5*h - r + 1668, 0 = h + r - 466. Calculate the remainder when h is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 146\/(-10) - 14\/35. Let t = h - -20. Suppose 2*x - t*b + 5 = -8*b, -3*b - 19 = -5*x. Solve -3*k = -k - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 460 (base 12) in base 10?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -3*a**2 - 4*a + 5. Let g(x) = -x**2 - 2*x + 2. Give -7*g(t) + 3*q(t).\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -23 (base 11) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -261*t = 3545 + 1414 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 4*p - 124 = 0, 4*c - 2*p = p + 131. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*l + 2 = 22*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5427876 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 47\/4 of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xhiw when four letters picked without replacement from {x: 2, h: 3, w: 3, i: 4, m: 1, u: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10 + 3*(-4)\/6. Suppose 5*h = 98 - y. Suppose -o - h = -6*o - 2*s, 4 = -4*s. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 329a (base 12) to base 3\nAnswer: 21200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 + 8*b**2 - 4*b + 4. Calculate s(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -151\/35952 and -74\/21.\nAnswer: 35952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.27 + -0.21. Let k = d + -0.05737. Round k to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 18d3 - 2ce?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 48, 3, -2\/181, 0.\nAnswer: -2\/181, 0, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -58 - 222. Let j = -279.6 - p. Suppose 3*s + f + 13 = 0, -3*f - 15 = 5*s - 2*s. Which is the third smallest value? (a) 16\/7 (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.08 + 0.22. Which is the closest to -2? (a) 4 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*k**2 - 6*k**2 - 4*k**2 - 7*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(-2)*-330 - (1 + -1). Suppose -h = 3*m + 2*m - b, -m + h + 39 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 12) + 2 - (6 - 17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13.5 or -2374?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**3\/w)**(-42)\/(w**4*w**(2\/19)*w) assuming w is positive.\nAnswer: w**(-1693\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 107768 and 2397838.\nAnswer: 9591352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*t - 89 = -119, -5*y + 2*t + 190 = 0. What is the least common multiple of y and 950?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/8)\/x*x**3)**(-33) assuming x is positive.\nAnswer: x**(-495\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 126580302?\nAnswer: 2, 3, 29, 242491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 107, 190, 255, 296, 307?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 + 19*i**2 - 9*i + 34. Let o be h(-19). Let u = o + 87. Suppose -b + u = b. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.01 + 0.02. Let l = -3.97 - q. What is the biggest value in 5, l, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*c - 95*c + 4841475 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 191 - 190. What is the common denominator of -41\/21 and l\/(-8) + (-3809)\/(-312)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -18, -119, -398, -945, -1850, -3203, -5094, -7613?\n\"Answer: -15*k**3 + k**2 + k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/6)\/((-3)\/(-99)). Let g = 26 - t. Is ((-26)\/6)\/((-1)\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175173.\nAnswer: 3, 58391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*n + 170 = -90. Let m = 45 - 41. Solve 0*f - n = -m*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*g - 566*n + 567*n + 6, 0 = 9*g + 5*n + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 - -24. Let m = 42 + -15. Suppose 0 = y + 2*o - m, 4*o = 5*y - 3*y - 86. Solve -y = -3*j + 4*h, 4*j - 4*h - 25 - a = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -663916, 98, 2 in ascending order.\nAnswer: -663916, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2 - (-8 + 4\/4). Suppose 4*b + u = 33, -2*b + 2*u = -15 - d. Calculate the remainder when b is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lww when three letters picked without replacement from {w: 2, v: 4, l: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 0.13, -2\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 120780 and 337086?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eqjx when four letters picked without replacement from {j: 3, x: 2, e: 3, a: 6, q: 2}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.4 + 3.2. Which is the biggest value? (a) 5 (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4147 is divided by 300?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 234.982 and 0?\nAnswer: 234.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -8\/5, -11, 1, 4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 165 + -161. What is the least common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 - -11. Suppose -5*w - 5*g - 124 = -4*g, -w - 3*g - 22 = i. Is (-15)\/w - (-167)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (15 - 0) + (2 - 3). Suppose 13 = 5*r - f, 2*r + 2*r - z = -f. Is r >= 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7624493 is divided by 317685.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -35722407 by -43939.\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1110211221201 + -1?\nAnswer: -1110211221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 10200331 (base 4) in base 7?\nAnswer: 104626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7004536 and 12782.\nAnswer: 7004536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 136452 and 9375348?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -249393 times 26\nAnswer: -6484218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 82987, 165987, 248987, 331987, 414987?\n\"Answer: 83000*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 t, and 2 q when four letters picked without replacement from {m: 4, t: 1, u: 2, q: 9}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3060 and 460800.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -3*q - 4888. Let k = q + 736. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.162 - 67.162. Let w = q + 74.8. Let l = 2.7 + w. What is l rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43955 divided by -3.\nAnswer: -43955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-2*sqrt(20) - (-4*sqrt(500) - sqrt(500)))\/(-2*sqrt(1000)*6 - sqrt(1000) - (-4*(sqrt(1000)*-1 - sqrt(1000)) - sqrt(1000))).\nAnswer: -29*sqrt(2)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2101000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -450 (b) 2149\/2 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 5) + 12 + (51 - 52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 452180003.\nAnswer: 11, 1063, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/2*(2 + -1). Let f(g) = g**3 + 3*g**2 - 2*g + 1. Let q be f(-3). Suppose -m*s + q + 11 = -2*o, 4*s + o - 21 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -21\/8, 4, 70, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-14460114)\/256385)\/(((-2)\/4)\/(10\/(-12)))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 3*p**2 - 2. Determine f(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x**3 - 6*x**2 + 6. Suppose -71*r = 12*r + 106 + 475. Suppose 24 = n + 3*n. Let h(f) = -3*f**3 - 7*f**2 + 7. Calculate n*h(a) + r*t(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-37 - -31 - (-6 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-130)\/(-6) - (-8)\/12. Let d = a + -23. What is the nearest to 1 in 0.4, 2\/13, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 + 54*a - 1486. What is m(-78)?\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35 + 10. Let j = 43 + h. Let k = 41 - 34. Calculate the remainder when j is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -195525, -391043, -586567, -782097?\n\"Answer: -3*z**2 - 195509*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/3 - 59*o**2 + 3493*o\/3 - 1105.\nAnswer: -(o - 17)*(o - 1)*(o + 195)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 9207 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 83788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-151)\/(-3) - (49\/21 + -3). Suppose v*h + 8 = 53*h. Solve h*f = -3*z - 2*z - 14, f - 3 = 2*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63817 (base 9) in base 5?\nAnswer: 2322332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -394 in 30, 1, 3.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 6, -11.3, -2, -2\/23.\nAnswer: -11.3, -2, -2\/23, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8280 divided by -8.\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + 3 - 2\/(-2)*19. What is h in -6*h - 4*h**2 + 2*h**2 + u - 26 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 38, 61, 106, 185, 310, 493, 746, 1081?\n\"Answer: 2*m**3 - m**2 + 12*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 minus 0.1912752076?\nAnswer: 0.2087247924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 4 (b) 3\/8 (c) -4\/5 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 7, j: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Do 2 and 178 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/47, -2, -5, -16, 2, 0, 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -622\/5 - -124. Let b(d) = -2*d**3 + d**2 - 3*d + 2. Let m be b(3). Let l = 47 + m. Put l, v, 2\/15 in decreasing order.\nAnswer: 2\/15, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -43*b**2 + 6751*b + 10. What is q(157)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.7 - 0.3. Let v = 0.2 - -0.2. Let w = 10 - 14. What is the nearest to -0.3 in m, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4946 divide 468683538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 176598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 4*l = 20, l - 13 = 4*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931)*1)**2 + (2*sqrt(171))**2.\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 1606?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is c38 - -16b0c4?\nAnswer: 16c02c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -9.8 (b) 0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -83.059 - -83. Let b = z + 0.009. Which is smaller: -0.06 or b?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 4\/9 (b) 2\/3 (c) 5\/2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 218831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -g**3 - 2*g**3 + 2*g**3 + 1 - 1 - g**3 + (-3*g**2 - g**2 + 2*g**2)*(-2*g - 2 + 2) - 5*g**3 + 5*g**3 + g**3 - 2*g**3 + 0 + 0.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.2 - -2. Let p = -37136 - -37129. Put 5, p, -2\/5, r in ascending order.\nAnswer: p, -2\/5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssxn. What is prob of picking 1 x, 1 s, and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - 630?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 30*m - 33*m + 30 = 0, 9 = 2*u + 3*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.656 + 0.6?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4244010473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(168)\/sqrt(6) - (sqrt(7) + (3*(-1*sqrt(7) + sqrt(7)))**2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 175191630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2202 and 950163?\nAnswer: 1900326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (1 - 21) + 17 + 44 + -11\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qpb when three letters picked without replacement from {q: 1, p: 2, m: 1, b: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1.757765 - -0.4\nAnswer: -1.357765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/380052 and 89\/9913644?\nAnswer: 1516787532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of -13*a**6\/6 - 4*a**2 + 8. What is the second derivative of l(v) wrt v?\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 3*z - 11. Let j be l(5). Suppose 2*r - 33 = -j*s + 7*r, 0 = 3*s + 2*r - 19. Calculate the highest common factor of s and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 400349 and 21071?\nAnswer: 400349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 56790 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 13 (b) 3 (c) -0.1 (d) 268 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 19*i**2 + i + 3. Let b(s) = 9*s**2 + 1. Let y(t) = -5*b(t) + 2*o(t). Suppose -3*p - 6 = -3. Give y(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -37\/2029, 0.4, 0.5?\nAnswer: -37\/2029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**2 - 40*r + 315. Give x(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 28 (base 11) to base 2.\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w - 3. Let q be o(-3). Let s(a) be the third derivative of -a**5\/60 - a**4\/24 + 7*a**3\/3 + 47*a**2. Determine s(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 216.9 and 9.7.\nAnswer: 226.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 108321*c**2*s**2*w - c**2*w - 2*s**2*w - 3*s*w + w - 644 wrt c?\nAnswer: 216642*c*s**2*w - 2*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 65*m**2 + 647*m - 29. Determine i(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 2*w**3 + 8*w**2 + 4*w - 9. Let o be h(-5). Do o and -79 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 105466 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3)*u**5)**(-17\/5) assuming u is positive.\nAnswer: u**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 1312 + 328 = 0. Let l = -238 + m. Solve 0 = p - 5*f + 6*f - l, 5*p + 4*f = 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u = -11*u + 656. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1018248459 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 2:46 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(39)\/(2*sqrt(3)) + -3 - (sqrt(429)\/(sqrt(33)\/sqrt(3)))\/sqrt(3))**2.\nAnswer: 3*sqrt(13) + 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 - -0.2757.\nAnswer: 6.2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-39 + 39 + 44*x**2)*(-1877*x - 493*x - 40*x + 367*x) to z + k*x + m*x**3 + u*x**2 and give m.\nAnswer: -89892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -6.483747 minus -0.14054?\nAnswer: -6.343207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 23 - 3. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14\/93? (a) 2 (b) -0.1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -392066 or -392135?\nAnswer: -392135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.22 - 0.32. Let z = f + 0.1. Let n = 0.45 - 0.15. What is the smallest value in 1, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -609.141 + 0.141. Let t = 608.797 + y. What is t rounded to three decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*2 - (1700\/(-8))\/25*10. Solve 3*b = -2*m + 7, h = -b - m + 85 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1413790 divided by -10630\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express x**3 - 4*x - 2 + 5*x + 25*x**2 + 34*x**2 + x**3 as s*x + h + b*x**2 + g*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 13, b: 5}. Give prob of picking 4 q.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:51 PM and 8:43 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(294) - ((sqrt(294) - (sqrt(294) - sqrt(294)*-1)) + sqrt(294) - sqrt(294)) - sqrt(294))\/(sqrt(15)\/sqrt(180)).\nAnswer: 4 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-7)*24\/96?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001042746 rounded to 6 dps?\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*f**3 - 87*f**3 - 148*f**3 + 231*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*j**4 + 11*j**4 - 4*j**4 + (-1 + 1 + j)*(j**2 + j**3 - j**2) + 5*j**4 + 0*j**4 - 2*j**4 + 6*j**4 + 6*j**4 - 3*j**4.\nAnswer: 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4938 is divided by 885?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -27662 or -27703?\nAnswer: -27662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 11, w: 2}. What is prob of sequence wtw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 - -11. Suppose -4*k + 2*k = -4*d + 80, -r*k - 15 = -d. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 + 0*s**2 + 4*s**2)*(2*s + s - 4*s) - s**3 - s**3 + 0*s**3 + 28 + 72*s**3 + 23*s**3 - 27.\nAnswer: 91*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 13 = -z, 2*n - 3*z - 436 = -411 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-4) - 6\/(-4). Suppose -3*d**2 + 2 + 0*d**z + 3*d**2 - 2*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 2*h + 217, 0 = -5*l - 5*h + 14 + 206. Suppose -149 = -8*r + l. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of 4*i**3\/3 + 2*i**2 - 8*i + 12. Suppose v(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - 12*h**2 - 86*h + 49. List the prime factors of q(-17).\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 40787111*o**2 - 3332*o - 1674?\nAnswer: 81574222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 415 + 0.4.\nAnswer: 415.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -10*s - 21. Let f(l) = 3*l + 7. Let j(u) = 7*f(u) + 2*q(u). Let v = 0 - -5. Let t(w) = w**2 - 7*w + 4. Let h be t(v). Determine j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 - 12 + 14)*(-m**3 + m**3 + 3*m**3) + 43*m**3 - 75*m + 75*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-135)\/(-45) - 60\/22\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 61*o**3 - 7*o + 4. Let i(u) = 31*u**3 - 3*u + 2. What is 2*c(h) - 5*i(h)?\nAnswer: -33*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -21*k**2. Let j(t) = 191268*t. Calculate j(o(l)).\nAnswer: -4016628*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-41)*o*o)**30\/((o*o**22)\/(o\/(o**(-36\/7)\/o))) assuming o is positive.\nAnswer: o**(-8301\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 PM and 12:20 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 12115103577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 8806 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 1710 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wqq when three letters picked without replacement from {d: 3, w: 1, g: 3, z: 2, q: 3, k: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 5*a. Suppose a = 5*z + 4*w - 16, 0 = 4*w - 16. Suppose -3*j + 5*t - 14 = z, 5*j - t = 3*t - 19. Put j, 2, 1 in decreasing order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 65367\/5 - 12982. Let q = n - 91. Which is the closest to q? (a) -0.5 (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 57909\/33 - 18\/(-99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 84954 and 681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1102\/17 - -29275\/476. Let z be (-26)\/(-24)*(-56217)\/5. Let r = z - -12176. What is the common denominator of c and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 + 63*g**2 - 29*g**2 + 30*g**2 - 20.\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 1\/5, 8, 1.2, 33, 58?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 54 + -54.547. Let t = j - -0.147. Which is the second smallest value? (a) -2.1 (b) -6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 430 - -218. Let i = x - 307. What are the prime factors of i?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 8*o + 3. Let a be b(9). Let f = a - 73. Let x = f + 18. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 74 (base 14) to base 12.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 735 is divided by 241.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 + 5*o + 9. Let t = 229 + -226. Let z be ((-32)\/(-8) + t)*(-2 + 3). Calculate q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 8731920570.525 and -3.\nAnswer: 8731920567.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from oooooqqooqqoooooooo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 15) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3313459940 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 4*x = -10. Suppose x*u - 22 = -3*a, -3*a - a + 36 = 4*u. Solve a*k - 5*k = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*h**3*m**2 + 2*h**3*r - 2*h**2*m**2 - 2*h**2*m*r - h**2*r - 8*h*m wrt h.\nAnswer: -36*m**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 248528 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -50*z**4 - 361 - 4*z**3 + 95*z**4 + 5*z**3 + 4*z - 44*z**4 + 0*z**3 as h*z**2 + t*z**4 + v*z**3 + x*z + f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67*(-7 + (-75 + 1 + 6)*-1).\nAnswer: 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 - 0.036?\nAnswer: -19.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-5)*f**(3\/4))**(-3\/25) assuming f is positive.\nAnswer: f**(51\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum -2309223333 and -0.28699.\nAnswer: -2309223333.28699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*p + 107*p = -14. What is the closest to p in 2\/15, 2\/7, 0.4, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 35*x**3\/2 - 4380*x**2 + 549375*x\/2 - 78125 = 0. Calculate x.\nAnswer: 2\/7, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 100010111101 (base 2) to base 6\nAnswer: 14205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 13.69392 from -3075.\nAnswer: -3088.69392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -1138 by 1.\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-99)\/(-12)*((-2)\/3)\/((-79)\/8295*-42)?\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -26*p - 2*p**2 - p**2 + 17 - 3*p**2 - 31 + 15 to l*p + s + z*p**2 and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -5*j + 11. Suppose -q = -5*a + 29, 7*q = j*a + 8*q - 11. Solve 0*t + a*t + 4*v = -35, -5*v = -4*t + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.6, 6473\/2, 65\/6?\nAnswer: 6473\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, f: 3, k: 11}. What is prob of sequence kkpf?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - o - 8 = -2*v, -v + 5*o = -2. Suppose -5 = -2*g + 5. Let h = g - 2. What is the remainder when h is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3240 = 32*c - 4643 - 4485. What is the greatest common factor of 1456 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-63)\/14)\/(-3))\/(24\/160*-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 27, 43, 57, 69, 79?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 49993178 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -707 (base 8) to base 11\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 2*x = -4, -2*x = s - 3*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in -2, -9, 0.145, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 7 = -19. Let s = 143 + o. Suppose -4*a + 37 = -s. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 2*t = -t - 96, 2 = t. Let y(c) be the first derivative of 5*c**2 + j*c - 4*c**2 - 3 - 4 - 6*c**2. Differentiate y(w) with respect to w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -451 and 13.\nAnswer: -5863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 2 = 4. Let c = -47 + 50. Put j, c, 5 in ascending order.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/((f*f*f**(4\/3)\/f*f)\/f))\/f)\/f**(2\/5)*f**(-7\/4)*f**(-2))**43 assuming f is positive.\nAnswer: f**(-16727\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 7*r**3 + 7*r. Let c(l) = -6*l**3 - 6*l. Calculate 6*c(i) + 5*m(i).\nAnswer: -i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 44 * 0.268.\nAnswer: 11.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2*-0.036\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8852558.\nAnswer: 2, 11, 13, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 4*y - 4 = 0, -4*p - 3*y - 96 = 0. Let a = p - -23. Suppose -a - 4 = w. Is w < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 21 = w + w, -c - 3 = -4*w. Let -26*i**3 - 4*i - w*i**4 + 25*i**2 - 3 - 1 + 2*i**2 + 9*i**4 = 0. Calculate i.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/9)\/((-8)\/(-192)*-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-one halves of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -279*s + 277*s - 4*i + 60 = 0, 4*s - 24 = -2*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/(4\/9) + -4. Suppose 3*o - 5 = -17. Let t = o + 8. Solve t*z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 238448 + -238446.79923. Let s = o + -1.2. Round s to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of f**6*v**2 + 138*f**3*v**3 + f**3 + 2*f**2*v - 2302*v**3 wrt f.\nAnswer: 120*f**3*v**2 + 828*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 320 - 317. Suppose 2*f = 4*y - 4070, -u*y + 0*y + 5*f = -3056. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1290130 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2296224 and 19584.\nAnswer: 9184896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x + 0*x - 2*x + 4*x + 0*x - 5*x + 0*x - 5*x + 4*x - 2*x + 3*x - 3*x + (-2*x + x + 3*x)*(1 - 1 - 2) - 249*x - 1050*x - 333*x - 680*x.\nAnswer: -2322*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9552689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 14*m - 11. Calculate f(-12).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(-1\/11)*p)\/(p*(p*p**(4\/3)*p)\/p*p))\/(p\/(p*p**2\/p)*p\/(p*p**(4\/3))))**(3\/17) assuming p is positive.\nAnswer: p**(-3\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c - 5*c - 66 + 97 - 19*c. Let w be b(1). Solve 0 = -2*m - 6 + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 24*p - 19. Let c be s(-8). Let f = -206 - c. Solve -g + 5*g + 2*y + 4 = 0, y + f = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-4) + 2)\/((-27)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -827.92*-43.\nAnswer: 35600.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract 529 from 0.5.\nAnswer: -528.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of 2053.744986 and -12.392.\nAnswer: 2041.352986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2367.906ml in litres?\nAnswer: 2.367906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6089702?\nAnswer: 2, 31, 98221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z + 8. Let s be d(-14). What is the tens digit of ((-1)\/2)\/(1\/s) + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*t + 11*t - 34*t - 5*t**2 + 14*t.\nAnswer: -5*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 820876?\nAnswer: 2, 7, 19, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((2\/10)\/(-1)*2)\/((-9708)\/(-776640))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405) - (sqrt(5) + -4*sqrt(15)\/sqrt(3)))*-1 + (-1 + sqrt(245) + 2)*-1)**2.\nAnswer: 38*sqrt(5) + 1806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/30*10\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the first derivative of -3*r**4\/4 - 6*r**3 - 33*r**2\/2 - 18*r - 55. Let c(j) = 0. What is j?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*h - 69 = 11*h. Let v be (-5 - 0)*2\/(-5). Calculate the remainder when (h\/5)\/(v\/10) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18 and 2304.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*k**4\/7 + 174561*k**3\/7 - 147853938*k**2\/7 - 2602848480*k\/7 + 2076796800\/7 = 0. Calculate k.\nAnswer: -18, 13\/17, 1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 35*n - 46. Let x(l) = -35*l + 47. Let m(z) = 5*q(z) + 4*x(z). Is m(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -15 - 0.1050201\nAnswer: -15.1050201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*z**3\/3 + 356*z**2\/3 + 2960*z + 18000.\nAnswer: 4*(z + 9)*(z + 30)*(z + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 26, -85.\nAnswer: -85, -4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -11*m + 144. Let r be d(13). Which is bigger: -1\/140 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 920, 912, 902, 890, 876?\n\"Answer: -x**2 - 5*x + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wfpw when four letters picked without replacement from wfpww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 12.05393 tonnes?\nAnswer: 12053.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 149663*z - 230443 wrt z.\nAnswer: 149663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, 3, -13999, -3, 4 in decreasing order.\nAnswer: 5, 4, 3, 2, -3, -13999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vtyy when four letters picked without replacement from tvytuyyuv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 89 = 61*y - 147. Solve -34*f = -33*f - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 3*v**2 - 3*v. Suppose r + 18 = 9*h - 4*h, h + 9 = -4*r. Let p(s) = 2*s**2 - 4*s. What is h*p(l) - 4*i(l)?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1430893 years in decades?\nAnswer: 0.01430893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 281392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {j: 2, b: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8.7 - 0.7. Let l = -0.18 - -8.48. Let s = l - k. Which is the nearest to 0.1? (a) s (b) -2\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the first derivative of 8 + 1\/2*y**2 + 0*y. Let r(a) be the first derivative of 3*a**2 - 63. Determine f(r(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - -1. Let d be ((-2)\/(-1))\/(7 + -9). Let l be 1 + (-1 - d - t). Solve -5*s - 1 = -3*j - l, -j + 1 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 426027301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 5*g + 207 = 0, 3*p + 311*g - 314*g = 159. What is the remainder when 188 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1755 divided by -65\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 10*c - 296. Calculate w(-18).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = 2*c + 402. Let g = -108 - c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1334 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence df when two letters picked without replacement from fhhjjjgjxfhhhjhdx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 423, 873, 1359, 1893, 2487, 3153, 3903?\nAnswer: 4749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5645*u**3 + 4385*u?\nAnswer: 33870*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 + (2\/(-1) - -2). Suppose -f*d = -0*d - 262. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -1944*w + 27365. Determine i(14).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -40\/1793 or 1?\nAnswer: -40\/1793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 30106, 28963, 27820?\nAnswer: 26677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 5*c - 110. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -336 - -354. Suppose 7*d - s*d - 44 = 0. Sort -35, 0, d in ascending order.\nAnswer: -35, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, u: 1, f: 1, d: 1, n: 1, v: 2}. Give prob of picking 1 n and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 - 1 = -6*t, -10 = 2*v - 5*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/38 and -59\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -221.93 + 223. Let v = -0.07 + h. Let f = 0.05 + -0.35. Which is the nearest to v? (a) -4 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -245253, -1, 0, -13, -2 in increasing order.\nAnswer: -245253, -13, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134*r**2 - 1 + 127*r**2 - 73*r**2.\nAnswer: 188*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes after 8:47 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 444, 895, 1346, 1797, 2248?\nAnswer: 2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1, -125, -479, -1177, -2333, -4061, -6475, -9689?\n\"Answer: -19*l**3 - l**2 + 12*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 394*c**3 - 22*c - 333. Let d(s) = -197*s**3 + 12*s + 166. Let k(n) = 11*d(n) + 6*j(n). Find the first derivative of k(b) wrt b.\nAnswer: 591*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 2\/9, 0.1, -0.3, -52, 2.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 64\/1239 and -5\/11859?\nAnswer: 83013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -190*h**2\/9 - 47758*h\/3 - 10556\/9.\nAnswer: -2*(h + 754)*(95*h + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-25)\/(-10) - 231\/88\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 49*l + 179. Give k(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, a: 2, c: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.486, -5, 48, -1124?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of i**4\/60 + 59*i**3\/30 - 93*i**2\/5 - 162*i - 1. Factor k(p).\nAnswer: (p - 3)*(p + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-54862)\/(-4)*(-1558)\/(-123) + (-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4\/15 (c) -0.02 (d) 4\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the third derivative of 0*d**4 + 0*d**3 + 1\/60*d**5 + 0*d - 2\/15*d**6 + 11*d**2 + 0. Find the third derivative of i(y) wrt y.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**2 - 413*i - 3777. What is k(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2496, 2493, 2488, 2481, 2472?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1831, -3836, -5861, -7906, -9971, -12056, -14161?\n\"Answer: -10*t**2 - 1975*t + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 5 + 2 - 6 - 28*f. Let b be k(-1). Is b*(0 - (-9)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -33.1 and 28352?\nAnswer: -938451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sisissss. What is prob of sequence ss?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1805 + 1804.7. What is the nearest to 2 in 0.3, 2\/3, 0, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 4, -10, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yoc when three letters picked without replacement from cycyyyakkooac.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/221 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 9*g**3 - 5. Let x(b) = b**3 - 1. Suppose 3 = 5*w + 4*s, -s + 9 = 7. Give w*p(t) + 5*x(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*r - 254596 - 340803 = -9*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j and 1 u when four letters picked without replacement from jjjjjujj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 60168 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-276)\/(-108) - (-8)\/18. Suppose -4*m + 8 = -20. Solve r*i = m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of -y**5\/20 - y**4\/6 - y**3\/6 + y**2 - 3341*y. Suppose j + u + 1 = -3, -2*j - 7 = u. Give s(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-1)\/4*-5)\/(-1). Let o = 345 - 346. Which is the third biggest value? (a) o (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 3*t + 10. List the prime factors of m(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8975.\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -1445926?\nAnswer: 1\/1445926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1163186\/643 - -1809. Is n at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7 + 385\/56)*-8. Which is smaller: v or -8\/33?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (20 - -1) + 12\/4 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/((-4)\/80*-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 343 - 14407\/42. Let f = 1\/6 + k. Which is the third smallest value? (a) f (b) -0.1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 87592?\nAnswer: -87597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -13*z**2 - 3*z. Let p(f) = -f**2. What is p(u(g))?\nAnswer: -169*g**4 - 78*g**3 - 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are 0.0397 and -8\/273 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 83 - 72. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 6*s**2 - 28*s - 119. Is u(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -38 + 54. Let p be 46*2\/h*4. Let l = -20 + p. Solve 5*k = 4*f - 15, -l*k = -0*k - 3*f + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 86344?\nAnswer: 2, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 239 in 0.8, -0.2, -0.3, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 6*n. Let f(h) = -h. Let p(k) = 27*f(k) + 4*u(k). Let c(d) = -18*d**2 + 2*d. Let m(a) = 38*a**2 - 5*a. Let w(g) = 5*c(g) + 2*m(g). Give p(w(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 + 10*d + 8. Calculate w(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -cba - 133?\nAnswer: -ded","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.15 - 5.85. Let s = 32604.99808 + -32611. Let n = s - t. What is n rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 15, z: 4}. What is prob of sequence vv?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -20? (a) 3.4 (b) -0.057 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**2 - 16*q + 23. Let u be (-14)\/7*(-5)\/(-1). Is c(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 139853 + 7782685.2\nAnswer: 7922538.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 1392059 to the nearest 10000.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -209702, -209701, -209700?\n\"Answer: w - 209703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 67*y + 2*j - 235, -5149*j - 73 = 4*y - 5154*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -87*v**2 - 8777*v + 1018. What is h(-101)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9*(-1 - 4)\/(-15). What is the second derivative of -d**4 - t*d + 2*d**4 + 7*d**4 + 3*d**4 wrt d?\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5018221, 10036438, 15054655, 20072872, 25091089?\nAnswer: 30109306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 63 and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -p**2 + 10*p**2 - 4*p**2 as r + a*p**2 + q*p and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 70 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1900 + -1885. Solve -u = -13*s + 18*s, 3*n = s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 118860 (base 15) in base 9?\nAnswer: 1517660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 3*l = 8*l. Let n = l - -6. Solve -n = -2*m + 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 17363721 (base 8) to base 2\nAnswer: 1111011110011111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3053025 is divided by 1525932?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116652 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve m = 17 - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 349121 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71741.\nAnswer: 71741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 4683915.01 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + 1 + 8\/(-3 - 1). Let i be 3 + (f - (3 + -4)). Suppose i - 4\/5*y - 2\/5*y**2 = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-52)\/65)\/((-8)\/160). Let g = 4 - 2. Suppose 16 = -g*m + 96. Calculate the greatest common factor of m and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -28\/9 and (-323)\/(-18) + 288\/(-648).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.39132329 rounded to 4 decimal places?\nAnswer: -4.3913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 + -2)*-2 + (-9 - 11). Calculate the remainder when 2 + (3 + 68 - 3) is divided by 2 + (0 - d*1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from eeeeeeettttete?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 4 = 3*s + s, 2 = 3*s - t. Suppose s*r + 4*l + 9 = 5*r, 2*l = -5*r + 3. Let y = -4 - -2. What is the third smallest value in 2, y, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 + 145*p**2 - 989*p - 58583. What is w(-149)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 488*a**4 - 481*a**4 + 20*a**2 - 7*a**2 + (-5*a + 5*a + 2*a**2)*(7*a**2 - 16 + 6 + 7).\nAnswer: 21*a**4 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:39 AM and 11:26 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2619 a factor of 28581217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7 and -2001899.3.\nAnswer: 14013295.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 0.11, -1.2, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 17312912 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 11*w**3 + 7*w**2 + 7*w + 7. Let y(g) = g**3 + g**2 + g + 1. Calculate -3*l(x) + 21*y(x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.7 - -1.81. Let q = 0.01 - n. Let j = -9 + 14. Which is the nearest to q? (a) -1\/12 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 86\/345 and -5\/253?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-9) - -626*6\/108. Suppose b + 13 = 2*b. Suppose -c - b = -u. What is the greatest common factor of c and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -479*s + 330599 - 868279 = -526*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -138 + 219. Suppose 0*y = -9*y + t. Calculate the greatest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 2867 and 2863 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 5:33 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 21*s - 24. What is h(7)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -101111 (base 2) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/9)\/(h*h*h**(-4\/7)))**(-29) assuming h is positive.\nAnswer: h**(2204\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 5, f: 2}. Give prob of sequence ftt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (1 - (-11 + 4)) + (-15 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s*s**(-14)*(s*s**(1\/12)\/s*s)\/s*s*s*s*s\/s**(-6\/13)*s*s*s**(-9)*s)**33)**2 assuming s is positive.\nAnswer: s**(-23089\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 503326 is divided by 321.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - 2*p + 92. Let b be z(0). Suppose -360 = -b*i + 91*i. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1570, -5933, -13214, -23419, -36554, -52625?\n\"Answer: -g**3 - 1453*g**2 + 3*g - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 399*w - 1625. Calculate m(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.173512 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**2 + 7. Suppose 0 = -4*i - 44 + 164. What is the remainder when i is divided by z(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -463 + 465. Solve t - 3 = 4*f + 4, -3*t = -i*f - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 13 - 7)*(0 + t**2 + 0).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -65*g + 14*g - 88 + 37 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -51\/12169?\nAnswer: -51\/12169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 10292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/80 and 19\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum 2 and 13391.\nAnswer: 13393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -6*q**2 - 2. Suppose 0 = -3*i + 3*s + 21, 4*s + 22 = i - 0*s. Let j be p(i). Let m be (-4)\/j - 150\/(-39). Solve 4 = -m*t + 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/3)*d**(-2))\/(d\/((d\/(d\/d**2))\/d))**(-3\/29) assuming d is positive.\nAnswer: d**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -4*o**2 + 30*o + 80. Let t(k) = 3*k**2 - 24*k - 64. Let u(j) = 5*t(j) + 4*v(j). Let l(g) be the second derivative of 35*g**3\/2 + g. What is u(l(d))?\nAnswer: -11025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -531 at most as big as -4784\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 962.3708 years to centuries.\nAnswer: 9.623708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3*b**2 - 6*b + 4*b**2 + 12 - b**3 - 5 + 8*b as k*b + h*b**3 + w*b**2 + l and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 840 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i + 3*i - 5*m = 15, 0 = -5*m - 25. Suppose 4*s + 1604 = 2*d, -i*s - 397 = 2*d + 393. Let w = 718 + s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 x, and 1 z when three letters picked without replacement from {x: 3, w: 6, s: 1, u: 1, z: 1, q: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 84 and 5502.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-4)*(-4)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y + 4*y - 2*y)*(0 - 9 + 6)*(-5*y**2 - 5*y**2 + 4*y**2).\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes before 9:51 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -0*w - 3*u - 74, -4*w - 312 = -4*u. Let t = 119 + w. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 429901910 rounded to the nearest one million?\nAnswer: 430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 153876 and 25?\nAnswer: 3846900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -786 (base 12) in base 16?\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1521785201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, 0, -5 in increasing order.\nAnswer: -5, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*q - q - 40 - q**2 + 2*q**4 + 42 to the form x*q**3 + m*q**4 + n*q**2 + d*q + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/2*13\/286?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15551*o**3 + 35032*o**3 + 79747*o**3 - 6129*o**3.\nAnswer: 93099*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 278002 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-18)\/(-10)*(97\/30 + (-44)\/(-440)). Let c(o) = 2*o**3 - 12*o**2 - 4*o - 3. Calculate c(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 + 11*b - 24. Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 232 a factor of 225641119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*k = -16*k + 128. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -34927 - 485073. What is g rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (10 - 12) + -1 + 1. Suppose 32 = 4*x - 16. Calculate the least common multiple of x and (-110)\/(-25)*((g - 0) + 7).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19 + 15. Let b = 0.46 + -0.06. Let z = b + -3.4. Put a, z, 2 in ascending order.\nAnswer: a, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 532 - 234. Calculate the remainder when s is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -33 - -62. Which is bigger: 27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 7. Let c be 2 + (1 - 3) - r. Is 1\/3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -48573 and -6080052.\nAnswer: -6128625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/19 (b) -539755 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from {c: 9, d: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -48, 0.5, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -261428 + 522859 + 377*f - 261431.\nAnswer: 377*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143) + 4*sqrt(143)*2)\/(sqrt(99) + 1*sqrt(99)) + 5.\nAnswer: 5 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 170871987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 44 + -24. Find the second derivative of y**2 + b*y + 3*y - 10*y**2 wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in twenty-one eighths of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -240*p**3 + 50163*p - 50163*p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 PM and 12:36 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11464 + -2837. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63824466611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 2:39 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -5*m + 13. Determine s(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 4*j + 274, j + 39 + 591 = -5*p. Let x = 129 + p. Solve -2*s = -6, 0*b - 3*s = x*b - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52002 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*b = -4438 - 85 - 7474 for b.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 - n**2 - 5. Let p be v(0). Let m be 148\/5 - (-3)\/p. Let x = m + -18. What is the remainder when 21 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16*b**4 + 29*b + 118 - 118 + 4*b**5 + 174*b + 2*b**4 wrt b?\nAnswer: 80*b**3 - 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(52) + sqrt(260)\/sqrt(5).\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1155 a factor of 461633865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -2*a**3 + 27*a**2 - 9*a - 51. Let v = 373 - 360. Let c be b(v). Put -1, c, 11, -4 in decreasing order.\nAnswer: 11, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**5\/5 - 16*d**4\/5 + 7*d**3 - 18*d**2\/5.\nAnswer: -d**2*(d - 1)**2*(d + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-42))\/(15930\/(-1239))*-8.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be 16\/10 + 2784\/1160. Put 0.037, -0.1, h in decreasing order.\nAnswer: h, 0.037, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-38 + 40 + 36*d + 31*d)*(0*d**2 + 2*d**3 + 0*d**2) as i*d**3 + x*d**4 + z*d + w*d**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is b in 11477*b**2 + 12 + 11*b**3 - 24*b - 2*b**3 - 11474*b**2 = 0?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -28, -21, 5, -2 in ascending order.\nAnswer: -28, -21, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q - 10. Let w be j(-7). Suppose -x - w = -3. Let r = -23\/4 - -17\/4. Is r less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 417 is divided by 18\/(-4536)*-14 + (-21813)\/(-54).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -0.23, -4\/3, -39726 in ascending order.\nAnswer: -39726, -4\/3, -0.23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k - 1. Suppose 3*i = -2*j + 11 + 107, -5*i = 2*j - 122. Calculate the smallest common multiple of y(-3) and (j\/(-42))\/(2\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r + 9*r**2 + 3*r - 25*r**2 - 5*r**2.\nAnswer: -21*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -5*q**4 - 5784010*q**3 + 23136120*q**2 = 0.\nAnswer: -1156806, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8767 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -n + 19. Suppose n = a + a - b, -5*a + 2*b = -38. Suppose -81 + 66 = -5*q. Solve -c + 2*d = q, -c + a = -2*c - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = y - 4. Calculate the remainder when y is divided by 2 - (1 - -1) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, p: 4, n: 2}. What is prob of picking 1 w and 3 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + 1. Suppose 0*x = 3*x - 24. Let u = -4 + x. What is the highest common divisor of c and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 484 = -68*y - 332 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 11864*122\nAnswer: 1447408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 - -27. Solve -5*m + t = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29843 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21, 40, 53, 54, 37, -4, -75, -182?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32018?\nAnswer: 2, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 11*o - 5. Suppose 0 = -d - 6*d - 490. Let u = -63 - d. Let s(k) be the third derivative of -2*k**4\/3 + 7*k**3\/6 + k**2. What is u*i(m) + 5*s(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6964175 + -9992833. Let x = u - -1488658. Round x to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of -b**4\/6 + 5*b**3\/6 + 574*b**2. Give o(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -8\/21, 0.5, -5, -2770, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -367, -0.4, 1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -46640 and 24.\nAnswer: -1119360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 61163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*i + 328 = 218 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.127 - 16.973. Let c = k + 17. Let z be (-40)\/3 - (-3)\/9. Is c at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-6)\/(-45))*4\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 111 - 120. Let x = -8.96 - p. Which is the third smallest value? (a) 2 (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2052126995.\nAnswer: 5, 31, 151, 87679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -921\/248 (b) 79 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*15089.\nAnswer: 7544.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**16*g**(-1\/12) assuming g is positive.\nAnswer: g**(191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2.599127ml in litres?\nAnswer: 0.002599127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-3*(sqrt(152) + sqrt(152) + 1*sqrt(152)*5))\/(((-2*sqrt(24))\/sqrt(3) - (sqrt(392) - 1*sqrt(392)))*1))**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes before 12:39 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 8) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000500123 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6169401 and 63?\nAnswer: 6169401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 69\/296 - 4\/37. Let j = 0.034 - -0.166. Let k = -2.06 + 0.06. Which is the smallest value? (a) k (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4 (b) 5.981 (c) 0 (d) -0.2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-9)\/3)\/(3 + (-18)\/4). Suppose 0 = 2*a + w*p - 6, 3*a + 2*p = 2 + 9. Suppose -120103 = -a*u + 1179897. Round u to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b - 9. Let h be v(-11). Let j(t) = h - 2*t + 5*t + 2*t - t**2 - 4*t. Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*1\/(0 + (5 - 8)). What is the tens digit of (i - 0) + 411 + (11 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cwcxwwwxw. What is prob of sequence wxc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 215940740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -193\/4, 4, -5.8, -2\/5.\nAnswer: -193\/4, -5.8, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 10) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:18 PM and 1:16 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 - 1)\/(91\/(-28) - -3). Suppose 178 = 5*o - 2*a + 3*a, 5*o - s*a - 188 = 0. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*i + 682*i**2 + 7 - 7 - 687*i**2 to the form s + b*i**2 + r*i and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 2 - 22. Let v be (w\/(-20))\/(6\/15). Solve 0 = -v*m + 4 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.489 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 0 + 40 = 0. Let w(c) = c**2 - 5*c - 113. Let d be w(13). Let m(i) = -14*i - 114. What is the least common multiple of j and m(d)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 * -48\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -659 + 1162. Let c = 503.000241 - p. What is c rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 129 - -111. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.23 and 3540015.\nAnswer: 3540014.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 120617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.3 - -5. Let b = p - 0.5. Sort -3, b, -0.3 in decreasing order.\nAnswer: b, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 + o + 1. Let z(d) = d**3 - 13*d**2 + 13*d + 2. Let x(t) = -5*a(t) + z(t). Let b be x(7). Solve -5*f + 6 = -b*i - 11, 2*f + 1 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1870*k - 1879*k + 603. Calculate the remainder when k is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -54 and 885.446.\nAnswer: -47814.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9 - -17. Let k be 34\/10 - (192\/(-40))\/(-12). Suppose 3*i - w + 8 = 5*i, -k*i + 12 = -w. Solve -i*p + 2*p + t = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -617, -1236, -1855, -2474, -3093?\n\"Answer: -619*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 - 4*j**2 - 4*j. Let b = 30 + -23. Suppose -2*v + 3 + b = 0. Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 10741, 10522, 10303, 10084?\n\"Answer: -219*f + 10960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-3)\/((p**7\/p)\/p))\/(p\/p**(-7)*p*p\/p**(2\/15))*p**(-1\/9)*p*p\/p**2*p**(-5\/4)*p\/p**(-1\/3) assuming p is positive.\nAnswer: p**(-3221\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11207538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a + 2. Let s(v) = 4*v - 9. Let n(p) = -18*d(p) - 4*s(p). Let c(x) = 4*x**2 + 82*x**2 - 15194*x + 15195*x. Give c(n(z)).\nAnswer: 344*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/(-2)*(1701740\/(-58680) - -29). Are c and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 41*s + 415. Give g(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is n in 5*n**4 + 560*n**3 - 15*n**2 - 1670*n + 1120 = 0?\nAnswer: -112, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1748 - 1745. Solve x - h*c = 5, -4*x - 7 = 4*c + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 102.89 + -109.99. Which is smaller: -24 or a?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 36*z**2 - 9*z + 0 - 1 - 37*z**2 + 3 - 2*z**3 in the form k*z**3 + n*z**2 + h*z + l and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 640623.85 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -41 times 2.29\nAnswer: -93.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 5*b + 4*b)*(b - 2*b + 2*b) - 193 + 96*b**2 + 193.\nAnswer: 97*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (11 + -4 + -1 + (29 - 38))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*g**5 - 12*g**3 - 86*g + 1?\nAnswer: -140*g**3 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1761\/5 - -351. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -11*k**3 - 11*k. Let r(p) = -5*p**3 - 6*p. Determine 11*r(o) - 6*u(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 3 - 3)*(12*j**2 + 0*j**2 + 2*j**2) - 5*j**3 + 7*j**3 - 8*j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 6*2*(-5)\/(-75)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1318279 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 4959 (base 10) to base 11\nAnswer: 37a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 59680 = -2*w, -3*w = 2*g + 769 - 24652. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 9 and 2095.\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -425.957 - -0.3.\nAnswer: -425.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107286 is divided by 1577.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2639, -5277, -7915, -10553?\nAnswer: -13191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6303*y + 864 = -6351*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1567 is divided by 395?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 772008155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1226706301 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, v: 3, i: 1, n: 3, u: 3}. What is prob of picking 1 v and 1 u?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 26408838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0163744209 rounded to 6 decimal places?\nAnswer: 0.016374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c = -2*f + 566 - 534, 0 = 4*f + 16*c - 92 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**2 + 12. Let a(z) = -24*z**2. Determine a(s(k)).\nAnswer: -24*k**4 + 576*k**2 - 3456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74064625 = 3*q - v, -3*q - 3*v + 74064635 = v. Suppose 2*w = -q + 217888209. Suppose w = 3*a - 9*a. What is a rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 151446*t**5 + 5574*t**2 + 2?\nAnswer: 9086760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3435*d - 60 - 70 + 249 - 63 - 57 to q + s*d and give s.\nAnswer: 3435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 88*i - 86. Does 16 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1176*i + 469900 = 290*i + 40*i - 2329*i for i.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10*c**5 - 381*c**3 + 9901*c.\nAnswer: 200*c**3 - 2286*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 164.535779 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: What is next in 542389, 2169498, 4881321, 8677858, 13559109?\nAnswer: 19525074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -105 + 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 PM and 5:08 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 - 12 - -17 - -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(98)*-2)**2)*5 + 4.\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w = -114 - 12. Suppose -z + 67 - 5 = 0. Calculate the remainder when z is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kxn when three letters picked without replacement from {k: 8, i: 1, e: 1, n: 1, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 13*i + 12. Calculate f(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -259 (b) 25 (c) 0.5 (d) 0.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.706 - -63.\nAnswer: 58.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 351183?\nAnswer: 3, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 6529.707 grams to kilograms.\nAnswer: 6.529707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -34893 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/b**6)\/b)\/(b*b*b*b\/(b**(2\/15)*b)))\/(b**1)**(-46) assuming b is positive.\nAnswer: b**(557\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j + 2*j - 5*z - 105, 5*j - 3*z = -216. List the prime factors of (-2)\/9 + (-8380)\/j + -3.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*j**2\/7 - 13436*j\/7 + 401280\/7 = 0. What is j?\nAnswer: 30, 6688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -105*k**2 + 106*k**2 - 102 + 104 - 99*k - 402*k in the form y*k**2 + q*k + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 5*i - 22 = 0, 50*t - i + 11 = 53*t. Does 59 divide ((-22)\/t)\/((-6)\/477)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 + -5. Let l(r) = -r**2 + 8*r - 8. Let t be l(4). Solve z*v - 10 = -3*f, 6*f - 4*v + t = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y = 56*j - 52*j + 4, -4*y - 8 = 4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -30 - -35. What is the second smallest value in -1\/2, l, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -3*s + 2. Give t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 19717 + 272 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mzz. What is prob of sequence mz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 2*a**2 - 5*a + 6. Let o be v(4). Let l = -2 - -2. Suppose -b + l*b = -o. What is the least common multiple of b and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1143, 1142, 1141, 1140?\n\"Answer: -b + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 66\/(-231) - (-65)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -18*l**2 - 2*l - 1. Let d be p(-1). Let k = d + 25. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 23020 = -4*f, 3*f = s - 2982 - 2753. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-14))**22*z**(-6\/7)\/z*z\/(z*z*z**(-1\/5)))**(-41) assuming z is positive.\nAnswer: z**(445793\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -3118913 divided by 1\nAnswer: -3118913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4009379?\nAnswer: 11, 73, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1144 and 15226?\nAnswer: 1741.8544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 4*z - 6*z**2 + 0*z**2 - 450*z**3 + 5 + 449*z**3. What is v(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 362 = -370*b + 2212 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-1\/4)*d**(-7))**9\/((d**6\/(d*d**6))\/((d\/((d*d*d**3)\/d))\/d**0)) assuming d is positive.\nAnswer: d**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**3 - 7*i**2 + 46*i - 26. Let p be y(7). Which is bigger: -732 or p?\nAnswer: -732","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t*t*t\/(t*t*t\/(t**(-5)*t))*t)\/t**(-10))\/(t**13\/t**(-2\/23)))**4 assuming t is positive.\nAnswer: t**(-560\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -21088, -0.3, 1, -3, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -5382, -10737, -16114, -21513, -26934, -32377, -37842?\n\"Answer: -11*h**2 - 5322*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 3*t**4 - 13083*t**3 + 65337*t**2 + 13083*t - 65340 = 0.\nAnswer: -1, 1, 5, 4356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -5*b + 12. Let u be 2\/(b\/(3 - 1)). Let g be 0*1\/(0 - 1). What is the nearest to -1 in -10, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 4*h + 19*t - 14*t, 4*h - 8 = 4*t. Let s(x) = -15 + 2*x + 2*x - 2*x + x. Let g be s(6). Solve 0*v + h = -g*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1081 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 11 - (20 + (-7695)\/702)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-9)\/(-4))\/3 + 64\/(-256). What is the smallest value in 1, 63, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -561389937058 take away 0.0709?\nAnswer: -561389937058.0709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 - -5.5. Let x be ((-4)\/(-6))\/((-70)\/(-45)). What is the nearest to -1\/4 in x, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2 + 8. Let h be 990\/11 + (-1)\/(1\/4). Let g = h - 92. Let w be v(g). What is the greatest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 5*g**2 + 32*g - 10. Let v(h) = 5*h**2 + 39*h - 12. Let n(l) = 6*p(l) - 5*v(l). Let s(y) = -y**2 + 1. Calculate -n(z) - 3*s(z).\nAnswer: -2*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 5, v: 2, g: 2}. Give prob of picking 1 g and 1 b.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -776*m + 2327. What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3980)\/1300*-13 + -39?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f**2 + 15*f. Is u(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29 + 29 + 5 + 1 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 70*m**2*w**3 + 17*m**2*w**2 - m**2 + 3*m*w**3 - 2*m*w - 2*w**3 - 18*w**2 wrt w.\nAnswer: 420*m**2 + 18*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-26 - 1)) + (171 + -157 - 24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 5 + r**3 - 1 - r to m*r**2 + q*r**3 + n + j*r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1477949 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-13)\/(-13)*(-3)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 31, 139, 311, 541, 823, 1151?\n\"Answer: -f**3 + 38*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 95*x**4 - 4*x**3 - 10*x**2 + 44.\nAnswer: 2280*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, f: 7}. Give prob of sequence hfh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-27)\/(-18) - 22\/(-4). Suppose 0 = -3*a + h*a - 96. Suppose 4*c - 5*j - 9 = 4, -3*c - j = -a. What is the highest common factor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o + 1. Let p be r(5). Let u be ((-10)\/(-14))\/((-208)\/(-1456)). Sort p, u, 4, 1 in decreasing order.\nAnswer: u, 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -34 or -798\/23?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s = d + 12, 3*d + s - 14 = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -11.97 and 33.\nAnswer: -395.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 47 (b) 110 (c) 3\/8 (d) -1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 + f - 1. Let g(h) = -6*h**3 - 3*h + 3. Let o(s) = -g(s) - 5*r(s). Let j(c) be the first derivative of o(c). What are the prime factors of j(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4663 + 4664. Let l = -0.6 + 1. What is the third smallest value in l, -1, 0.6, r?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - 2*l + 2. Let k(w) = 2*w. Let u be k(1). Let d(c) = 3 + 3*c**2 + 4 + 12*c - c - 2 - 16*c. Calculate u*d(x) - 5*q(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*v**2 - 2 + 5*v**2 - 2*v**2 + 6*v**2 + 6*v**2.\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 3*x**3 + 23*x**2 - 19*x - 39. Give h(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 573, 848, 1123?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1.9, 0.3, 2\/9, 0.28, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes after 3:30 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.704605nm to millimeters.\nAnswer: 0.000003704605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 44 = -2*c + 10, -5*z - 77 = -3*c. Calculate the smallest common multiple of 3 and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -70.053 - 2.397. Let q = o + 0.45. Let t = 69 + q. What is the nearest to 1 in 1\/4, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 6\/7, 10733\/5, 3\/2, 14 in descending order.\nAnswer: 10733\/5, 14, 3\/2, 6\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-86)\/(-18) - 4\/(-18). Let z(y) be the third derivative of y**4\/8 - y**3\/3 - 7*y**2. Calculate the remainder when 23 is divided by z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/2279 and -143\/6.\nAnswer: 13674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*x**3 - 7*x**3 - 18*x**3.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, q: 4, t: 4, x: 1, d: 1, v: 6}. What is prob of picking 1 t and 1 p?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -534304 divided by 2264?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 24\/7, 9, -9\/64, 0.6, 1\/6.\nAnswer: -9\/64, 1\/6, 0.6, 24\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 15646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.156 - 0.18?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 429583319 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 3 g when four letters picked without replacement from egagaageagp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20*k**3 + 1 - 4 - 1 - 16*k**3 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f - 5*f - 8 = 0. Let o be f\/3*6\/(-30). Sort o, 0.5, -1 in increasing order.\nAnswer: -1, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 315223347?\nAnswer: 3, 105074449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 5*j + 98 - 23, r - 2*j - 72 = 0. Let x = r - 68. Solve -a - 6 = x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (27 + -38 - -20) + 41 + -7.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(216))\/((2*sqrt(64))\/sqrt(8)) + (2*(sqrt(192) - (sqrt(192)*4 + 4)))**2 + 1.\nAnswer: 771*sqrt(3) + 6977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 - 1540\/36) + (-4)\/18. Let z be (5106\/f)\/(-3) - -4. Let u = z - 224\/5. Sort 0.3, 1\/4, u.\nAnswer: 1\/4, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2 + (-32)\/(-20))*(7 - 17). Suppose -86 = -z*g - s - s, -g = 2*s - 26. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -16*j**3 - 4*j**2 - 3*j. Let d(h) = h**2. Calculate 4*d(b) + r(b).\nAnswer: -16*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 34322529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, d: 2, w: 5, f: 1, p: 1}. What is prob of sequence wpww?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4636 divided by 4\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 594 + 3*l**3 - 577 + 9*l**3 with respect to l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(1\/4)*h**(3\/2)\/h*(h**0\/h*h*h)\/h**(-4) assuming h is positive.\nAnswer: h**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/3)\/(-2*(-1)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.1 - 2.112. Let j = -165428.91200023 - -165428.9. Let f = a - j. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -23049, -45006, -64777, -81270, -93393?\n\"Answer: 182*x**3 + x**2 - 23234*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-21)\/2*10\/(-5). Suppose 1232 = -j*q + 49*q. Calculate the lowest common multiple of q and 76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2767711159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 30 = 4. Let c be 1\/(-4) + w\/4. Suppose -c*g = 3 + 3. Sort 0, g, 3 in ascending order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1308 is divided by (-5)\/(-13 - (-684)\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 + 3*b**2 - 6*b - 6. Let s be m(-3). Calculate the highest common divisor of s and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 1 - -6) + -7 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - b - 2164, 4*t + 7*b - 2860 = 2*b. Suppose 0 = -0*a + 4*a + q - t, -2*q = 5*a - 903. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 1353*m**3 + 6*m - 45*m - 33*m**2 + 1393*m**3 - 2747*m**3 to the form u*m + v*m**2 + d*m**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(13\/4))**(-4\/37) assuming m is positive.\nAnswer: m**(-13\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*z = -2*i + 11*z + 15*z - 306, -z = 2*z - 15 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -31 + 91. Let n be 2*-1*9\/6. Let s be (-7 + n)\/((-2)\/4). Calculate the highest common factor of s and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -132326 + -1437.4.\nAnswer: -133763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -25.3 - 2.7. Let m = -28.000068 - z. Round m to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - 390757078\nAnswer: -390757077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12827690 - -163937. Let i = 12663706.00000128 + s. Let y = -47 - i. Round y to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j - 7. Calculate g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 15 = -4*d - 6*z, 4*d + 5*z = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the second derivative of 5*d**4\/12 - 10*d. Let z(h) = -2*h. Give z(f(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.22 - -1.22. Which is greater: q or -126?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3017.947 - 3014. Let n = 0.053 + k. Let p = 223\/1659 + 2\/237. What is the smallest value in p, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(7\/3)*y)\/(y*y**(-4\/5))*(y**(-1))**(-17) assuming y is positive.\nAnswer: y**(302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 971 + 35b?\nAnswer: ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*u + 44799 + 105625. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -6*s - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 32035442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*n - 6. Suppose n*s + 5 = 5*j + 2*s, 2*j = s + 3. Suppose -212 = -j*t - 56. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4955 - 7a19?\nAnswer: -3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 121875 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17 + -6. Let v = s + 19. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from {c: 2, w: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -560206 - -2?\nAnswer: -560204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 818*i - 7. Let l(q) = -265*q + 3. Calculate -4*f(y) - 11*l(y).\nAnswer: -357*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11 + 1340\/((-220)\/(-11)) and 129?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*n**2 - 8215*n + 8220.\nAnswer: -5*(n - 1)*(n + 1644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 177540*o - 177710*o - 11220 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4664 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -458898 at most -458898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9120)\/266 + 9\/((-18)\/(-4)) + (-8)\/(-28).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2524 times -0.06?\nAnswer: -0.015144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 643794, 643797, 643800, 643803?\n\"Answer: 3*x + 643791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 + 30*s + 12. Suppose 5*l = -5*o, -5*o + l - 6 = 3*l. Let k(q) = -q**2 + q + 1. Let d(r) = o*k(r) + x(r). What are the prime factors of d(-11)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u + 7. Let k(h) = 2*h + 15. Let f = 1473 - 1460. Determine f*g(t) - 6*k(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -12*d + 110. What is the units digit of t(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42939 + 85888 + 2071*o**3 - 42949.\nAnswer: 2071*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 958986 times -21.3?\nAnswer: -20426401.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 + 17. Let o be (-1 + (-14)\/(-10))*10. Suppose -6*k + 20 = -o*k. Calculate the smallest common multiple of l and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54387 + 18137 + 22*d + 18117 + 18133.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in fourty-eight fifths of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -14*k + 42. Determine q(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q**3 - 2*q**2. Let r(v) = -4*v**3 + 4*v**2 - 2*v**2 + 7*v**3. Let x = -24 - -38. Let p be (x\/4 - 3)*6. What is p*r(g) + 4*y(g)?\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8780426.\nAnswer: 2, 1307, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-2\/21)*z*z)\/z*z*z**(-6)*z*z*z*z**6\/z**1)\/(z\/(z**(-2\/29)\/z*z*z)*z*z\/z**(7\/6))**(-6) assuming z is positive.\nAnswer: z**(5675\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 90 - 155 = 0. Let a = -74 - y. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1533274583 to the power of 1\/3, to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 5*v**2. Let x(h) be the second derivative of -h**4\/12 - h**2 - 2*h. Let g(o) = -4*o**2 - 9. Let z(s) = -2*g(s) + 9*x(s). Determine k(z(r)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 15 - 7 - 10*j)*(-1 + 2 + 0).\nAnswer: -10*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 86612.87km in millimeters?\nAnswer: 86612870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 65207729 to the nearest 100000.\nAnswer: 65200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f**2 + 15*f**2 - 43*f**3 - 12*f**2.\nAnswer: -43*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -111178062 divided by 5?\nAnswer: -111178062\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41437708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2*v + 2 + 4*v + 0*v + 0*v + (-2*v + 0*v + v)*(2 - 4 + 0) - 3*v - 4*v + 6*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2*(-5)\/(-35))\/((-8)\/(-42)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*f + 507476 = -697087 + 255629. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/13449926 and 39\/47074741.\nAnswer: 94149482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are 8853020 and 8853045 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) 0.01 (c) 3\/59 (d) -1\/8 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnnxnxnnnxnn. What is prob of sequence xx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -744778*b**2*l*s + 3*b**2*l + 3*b**2*s - 50*b**2 - 112*b*s - 1 wrt l.\nAnswer: -744778*b**2*s + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1578*o**2 - 2 + 46*o - 56*o - 30*o + 40*o.\nAnswer: -1578*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pipipppxpp. What is prob of sequence xi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of 2*q**6\/15 - 5*q**4\/12 - 4*q**2. What is the second derivative of y(i) wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 20*p - 223. Let k be a(12). Suppose k*w = 14*w + 12. Put w, 8, -2, 3 in ascending order.\nAnswer: -2, 3, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*z - 12 + 12 + (0*z - 5*z + 4*z)*(2 + 3 - 2) + 3*z + z - 3*z)*(124*z - 53*z - 18*z)*(2*z - 1 + 1) to k*z**2 + t + p*z + o*z**3 and give o.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -328328*d + 3611605. Determine z(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -5*b - 65. Let x = -8 - b. Solve n = x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence diid when four letters picked without replacement from dddiii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 287077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 57271579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2250528157.\nAnswer: 101, 179, 281, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 3*c - 254 = 0, 2*x - 5*c = 4*x - 497. Suppose -256*f = -x*f - 760. What is the highest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/612*16)\/(33\/561).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2232453257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -3*i. Let s be (4*(-40)\/(-50))\/(1\/785). Let j(m) = 2512 + 5*m - s. What is a(j(b))?\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 + 4*s - 3. Let k(c) = -5*c - 3. Let b be k(-1). Give o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01637 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-14)\/11)\/(-14) - ((-16)\/66 + 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q - 13. Let u be w(9). Let a = 10 + u. What is the tens digit of 5\/(10\/a)*(2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 7*m - 25. Let z be x(4). Let v(p) = 2*p - 15*p + 9*p + z. What is the units digit of v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44657505 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*x**4 + 5*x**4 + 3*x**4 + (0*x + 0*x - x**2)*(-2*x + 2*x**2 + 2*x).\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from sffdodddfsfsssdfo.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (235 - 51) + -142 + 20 + -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -21561 - -21520. Sort 1\/3, 2, -4, 0.2, m in decreasing order.\nAnswer: 2, 1\/3, 0.2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 114 and 33.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13 + -12. Which is the third biggest value? (a) v (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f. Let o(i) = -2*i. Suppose -6*r = -4*r - 4. Suppose -2*k = r - 6. Let m(q) = k*o(q) - 5*d(q). Let v(y) = -y. Determine v(m(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -65, 6, 0.2, 0.23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15485790*h**2*k + 1560*h*k - h + 1773*k wrt h?\nAnswer: 30971580*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9 + 4. Let v = 10 + o. Let n(l) = -2*l + 4. Calculate n(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-13*n + 6*n - 22*n)*(2 - 4 - 3) - 30*n - 3*n + 17*n)*(-3 - 4*n + 2*n + 1).\nAnswer: -258*n**2 - 258*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 649*l**4 + 3*l**2 + l**3 - 2*l**2 - 648*l**4 - 56*l + 2 in the form f*l + p*l**3 + r*l**4 + n + u*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 11:33 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2612 (base 10) in base 12?\nAnswer: -1618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -50 - -50. Put k, -0.5, -0.4, 3\/5 in descending order.\nAnswer: 3\/5, k, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h = 15, -10*f + 11*h - 15*h = -22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44 - -6. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34047447671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 50, -2, -70, -160, -278, -430, -622?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8380 - -33517\/4. What is the biggest value in m, 12, -3, -0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 2*u**2 + 11*u - 11. What is x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -371*z - 446. List the prime factors of k(-18).\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-578)\/595)\/17)\/((-3)\/(-10))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1553.9 - 1553. Which is the nearest to -1? (a) q (b) -3.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 119 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 35992 and 0.3?\nAnswer: 10797.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -138 = -106*u + 392 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum -3848 and -1.3.\nAnswer: -3849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -u - 5*c = 6, c = -8*u - 0*c + 30 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-41)\/((-15)\/6 - 2628\/(-1080)) is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 46\/589 and -7\/186?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s = -3*s - 287. Let c = s - 30. Find the third derivative of -7*x**2 - 26*x**3 - c*x**2 + 14*x**2 wrt x.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -400 - -179. Let a = 966 + m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209440 divided by -340?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are -1494\/7721 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 969 + -6742\/7. Let t be (-2)\/(-4)*22 - 3. What is the common denominator of (t - 3)*(-29)\/(-5) and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 31*q**6 + 43*q**5 + 2*q**2 - 11049 wrt q?\nAnswer: 3720*q**3 + 2580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2520 divided by 84.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 4*n + 63 = 75, -5*n = -2*z - 11 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2 + 28*s - 82. Let a be k(25). What is the tens digit of (-11)\/(-2*a\/(-630))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/(j\/j**(1\/4))*j)**(2\/23)*(j\/j**(-2\/5))**(28\/9))\/(j*j*j**(2\/7)\/j*j*j**(3\/2)*(j\/(j**0\/j))**(-39)) assuming j is positive.\nAnswer: j**(570656\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * 0.036.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t + 7. Let w be c(-3). Let z(b) be the second derivative of -3*b**5\/20 + b**4\/12 - b**2\/2 + 2*b. Determine z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37 + -36.99999961. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of -3*l**5\/20 + 7*l**4\/24 + 14*l**2. What is the second derivative of t(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 832 + -831.967302. Round r to 4 decimal places.\nAnswer: 0.0327","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 15, -2*d + 3*w = -3 - 6. Let j(a) = 2*a**3. Let c(g) = 0 - 6*g**3 + 0. Let m(x) = -x**2 + 4*x + 13. Let r be m(7). Determine d*c(n) + r*j(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, 0, -0.11, -3, 1080, -0.1, -1?\nAnswer: 1080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 + -6.16. Let s = p - -0.285. What is s rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.03 - 0.33. Let z = 1.3 + o. What is the nearest to -1 in 4, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52570 is divided by 6549?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of q**3 - 4*q**2*v + 9*q*v + v - 15 wrt q?\nAnswer: 3*q**2 - 8*q*v + 9*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -1, 88, -0.3, 0.02, -3\/208?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 = -32*n + n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115930 is divided by 404.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.624 + 0.024. Which is the smallest value? (a) -4 (b) 2\/11 (c) i (d) 11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -120 + 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 195 or 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 451*m**2 - 148*m**2 - 2 + 2 - 146*m**2 - 154*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 107656838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1511759595.\nAnswer: 3, 5, 17, 919, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 2*y**2 + y - 3. What is the remainder when s(3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1900) + 1*sqrt(1900) + -5 - (sqrt(1900) + (sqrt(1900) - 2*sqrt(1900)) + 1).\nAnswer: -6 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24117395, 24117399, 24117403, 24117407?\nAnswer: 24117411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 0*w - 5*w - 21, 5*w + 54 = 4*o. Let f(l) = l**3 - 12*l**2 + 12*l. Determine f(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -16285336 divided by -8\nAnswer: 2035667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65402*k + 26*k**3 + 6*k**3 + 65399*k.\nAnswer: 32*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -23934 (base 12) in base 14?\nAnswer: -136c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 42 + -19. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + ((4*sqrt(425)*-1 - sqrt(425)) + -1)*5)*6 + 0)**2*3.\nAnswer: 162000*sqrt(17) + 28691388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j**3 + 27*j**2 - 19*j - 88. Determine d(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-515920)\/12)\/((-1)\/(-30)). What is z rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5877398?\nAnswer: 2, 167, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170)\/sqrt(40) - sqrt(17))*5 + 5*sqrt(34)\/(sqrt(2)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 AM and 12:04 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 1077 divide 14976762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26633 - 79893 + 2*h**2 + 26632 + 26632.\nAnswer: 2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000723 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3610.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*x - 38*x**3 + 2*x**2 - 3 + 5 - 4.\nAnswer: -38*x**3 + 2*x**2 + 23*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.092439 - -0.307561. Let q = 0 - -2. Which is the nearest to -1? (a) 12 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*6*4*-1*sqrt(121))\/(((-1*sqrt(132))\/sqrt(12) + sqrt(11) - sqrt(11)) + 2*sqrt(1584)).\nAnswer: 144*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 9:16 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 1*((5*(sqrt(147) + 2) - sqrt(147)) + (sqrt(147) + -1 - sqrt(147))*3))**2.\nAnswer: 168*sqrt(3) + 2361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -844 - -844.4. Which is the nearest to 5? (a) -2 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 171 - -0.0741937635.\nAnswer: 171.0741937635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 0 + -3 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2562 divided by 82?\nAnswer: -1281\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/(-576)*-6*-2. Put f, -0.46, 4, -0.3 in increasing order.\nAnswer: -0.46, -0.3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23232 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2778349 is divided by 1242.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -260 + 457. What are the prime factors of h?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g + 8. Let z(b) = -b - 1. Let r(d) = -d**2 - 13*d - 16. Let x(n) = -r(n) - 2*z(n). Let f be x(-16). Suppose -5*i + 9 = f. Calculate j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 26 + 4*r**2 - 6*r**2 + 4 with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.84 + -1. Let f = -3.24 + j. What is f rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 5 = 1. What is the units digit of k\/12 - 2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1302101 + -110?\nAnswer: 1301331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 30*i - 1. Let m(t) = -33*t - 6. Let n(b) = 8*c(b) + 7*m(b). Let a(r) = r. What is n(a(z))?\nAnswer: 9*z - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6 + (5 - (6 + -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1785241595.\nAnswer: 5, 29, 12312011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/(-52) - (-3298)\/26. Suppose 4*v - h = -5*l, 2*v - 29 = -2*l + 35. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 54\/(-405) - ((-616)\/30)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s - 1. Let l(n) = -2*n - 1. Let v be l(1). Let y be j(v). Let k be (0 + -2)\/(y\/(-1)). Do 2 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/4 - 1712872\/112. Let n = -8825 - b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(18) - sqrt(2))**2 + -3 + -4 + sqrt(6)\/sqrt(3))*5.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2852 and 2838.\nAnswer: -809.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7\/5 in -0.4, 3\/8, 11, -1, 5\/32, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -292*f**2 + 0*f - 5*f - 80*f**2 + 4*f.\nAnswer: -372*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*p**5 - 13530075*p**4 + 425*p**2 + 10768*p.\nAnswer: 120*p**2 - 324721800*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5801 - -7421. Calculate the least common multiple of q and 648.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1331323 (base 4) to base 9.\nAnswer: -12044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -197 - -231. What is the fourth smallest value in -0.5, -5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -0.07.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 1673 by 7530.\nAnswer: 1673\/7530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/((p\/p**(-2\/97))\/p*p))\/p*p**(-2\/3))\/((p\/(p*p**18))\/p)**37 assuming p is positive.\nAnswer: p**(204082\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 308626.00044 - 308600. Let t = 26 - v. Round t to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1356\/60 - (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -77694 divided by 8?\nAnswer: -38847\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 - 1248*f + 67886. Give n(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12356 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does -266284 = -266279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 48.4 times -2.57\nAnswer: -124.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 6058 = 4*m, -4*m + 5*m = -5*a + 1505. What is the greatest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -583992*q**4 + q**3 + 104352*q + 2 wrt q?\nAnswer: -7007904*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 5*h = -84, 2*u - 2*h + 3*h = 56. Let g = -26 + u. What is the third derivative of -g*q**4 - 9*q**4 - 4*q**4 - 17*q**2 + 0*q**4 wrt q?\nAnswer: -360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1480459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -53 + 89. Suppose -87 = -25*q + 238. What is the remainder when d is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 285142634*z**4 + 133460598*z?\nAnswer: 3421711608*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*n**2 + 7*n**3 + 21*n**2 - 11*n**2.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11\/20586 - -122048\/463185. Calculate the common denominator of -137\/36 and r.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6064166 (base 8) to base 16.\nAnswer: 186876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1667798 and 13244.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1232693, 1232694, 1232695, 1232696?\n\"Answer: u + 1232692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*l**2 - 13*l + 13*l to the form s*l + j*l**2 + b and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3050140 (base 6) to base 8\nAnswer: -436114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, o: 12, u: 3}. Give prob of picking 2 o.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 4*a - 409 = 352, 2*s + 5*a + 311 = 0. Let n be ((-298)\/(-4))\/((-2)\/(-8)). Let z = n + s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117675313.\nAnswer: 7, 2401537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -1231*r**2 + 2*r - 8. Let s(t) = -758295*t**2 + 1233*t - 4932. Calculate 2*s(a) - 1233*x(a).\nAnswer: 1233*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:20 AM and 1:10 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**4 + 77352*v**3 - 154720*v**2.\nAnswer: 4*v**2*(v - 2)*(v + 19340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r**3 + r**2 - 2*r - 1. Let q be w(-2). Calculate the greatest common factor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -6*9\/((-81)\/(-6)). Calculate the lowest common multiple of 13 + q*(-1)\/4 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 2467626169 and -24.59.\nAnswer: 2467626144.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 260*j**2 - 121*j - 334. Calculate r(-3).\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the first derivative of -3*p**2 + 1. Let x(z) be the second derivative of z**3\/6 + 624*z. Determine x(h(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 14*p - 94. Let q = 121 - 114. Let v be c(q). Let f be 6*v\/((-72)\/(-69)). Solve 25 = -4*n - 5*a - 5, -3*n = 4*a + f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, g: 1}. What is prob of sequence dg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*t**2 + 24*t**2 - 3*t**2 + 3*t.\nAnswer: 7*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -10*a**2 + 5*a**4 + 10*a**2 + (-2 + 3 - 3)*(162 - 162 + 108*a**4) in the form r*a**4 + v*a**3 + h + u*a**2 + d*a and give r.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-15 + 2)\/(-1 + 2). Let v = -11 - t. Suppose 0 = -k + v + 15. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 * 54072\nAnswer: 162216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 142445032 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 + 35\/10)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27579307\/641538 + 73\/11061. Let h be 4\/(8\/6)*484\/957. Let y = r - h. What is the common denominator of 13\/21 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 - 7 = -4*p. Let n(h) = -3683*h - 2. Let m be n(p). Is ((-1)\/4)\/((-7)\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t + 34*t + 0*t)*(-9 + 9 - 13*t) - 2 + 2 - 2*t**2 + (-6*t + 3*t + 2*t)*(2 - 2 + 2*t).\nAnswer: -472*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13, 22, 27, 28, 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*a + 123 = 216 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 - 10. Is i equal to 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1989273633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2. Let x(g) = 142048*g. Give u(x(t)).\nAnswer: 20177634304*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 + 2*t**2 - 5*t - 4. Let z(c) = -3*c**3 + 5*c**2 - 11*c - 9. Let v(i) = -5*w(i) + 2*z(i). Factor v(k).\nAnswer: -(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7.1 - -0.1. Let x = -12 - n. Put -2\/15, x, -0.3 in decreasing order.\nAnswer: -2\/15, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x + 3*x - 2*x**2 + 0*x**2 + x**2 + x**2 + (x - 4*x + 4*x)*(x - 2 + 2) + 5*x - 6*x**2 - 5*x - 3 + 3 + 4*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 436 + 356. Suppose -d = -5*d + k. Is d a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -3*r - 1191, -r - 790 = r - w. Let c = 336 - r. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p**4 + 826*p**3 + 91480*p**2 + 3211304*p + 11433888 = 0. Calculate p.\nAnswer: -261, -74, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -842 + 1703 - 857 - 10*y - 2*y. Give c(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.33 * 1.5.\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.04 in -7, -5, -8, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = s + 3*i + 10, -14 = -2*s - 3*i. Let q(n) = -n**2 + 7*n + 100. Let f be q(s). Solve f = d + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06978 to three dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 4*w - 4. Let d be k(2). Suppose 5*r - 2*v - 552 = 0, 5*r - d*v - 564 = -5*v. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 1 = -2. Let d(a) = -10*a**3 - a - 2. What is the remainder when d(c) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 0 + d**2 + (0*d - d + 0*d)*(3*d - 6*d + 8*d) + 0*d**2 + 2*d**2 + 0*d**2 to t*d**2 + w + r*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (232\/290)\/(1\/(-2)) + (-6111)\/(-35). Sort 1\/5, 3\/2, -2, x in decreasing order.\nAnswer: x, 3\/2, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 331*q - 224 = 345*q. Let n = -21\/166 + 18905\/1162. Let t = q + n. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 5*z - 0*b - 782, -b = -4. Let j = z - 27. Let a = -24 + j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 262007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 11 + 12 - 2*m + 26*m**2)*(3 + 3 - 5).\nAnswer: 26*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 823947 is divided by 2774?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 13 = -0*w - 3*w, -4*m = -4. Suppose 3*a + 45 = w*i, -37 = -4*i + 2*a - 1. What is the remainder when 16 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.42 + -0.11. Let x = q + -0.01. Let m be (122\/915)\/((-2)\/2 + 2). Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -327 - 30440?\nAnswer: -30767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o + 3. Let t(m) = 1. Let f(x) = 3*t(x) - w(x). Let k(c) = 2*c. Determine f(k(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**(-16)*i))\/i**(-5\/4)*i**8\/(i**(-1\/6)\/i) assuming i is positive.\nAnswer: i**(317\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.46 - 0.06. Let j = -0.059 - -0.959. Let s = j + -1.9. Which is the nearest to s? (a) h (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/114 and 143\/186.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 39603927 and 5841?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m. Let k = 9 + -7. Let c(j) = 12*j**2 - 4*j**k - 5*j**2. What is c(v(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 11889 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 407081770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/2*2\/(-3). Let l(b) = 13*b**2 - 20*b - 5. Let d(q) = 3*q**2 - 5*q - 1. Let z(k) = -9*d(k) + 2*l(k). Let g be z(2). Sort 4, c, g in decreasing order.\nAnswer: g, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**4 - 30*k**3 - 36*k**2 + 64*k.\nAnswer: 2*k*(k - 16)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 48.30087 decades?\nAnswer: 5796.1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1619 - 1528. What is the remainder when l is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-16)\/(-4) - (682\/(-31))\/(-22). Solve 0*m - 1\/3*m**2 + 1\/3*m**u + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 889 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 2:46 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2 - (2 + 2) - (0 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.3 (b) 18658 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a + 6*a = 0. Suppose h = a, 0*h = -4*b + 3*h + 28. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -48 + 19?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2034, 4068, 6102, 8136, 10170, 12204?\n\"Answer: 2034*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/126 and -87\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 23 and -1.8867?\nAnswer: -43.3941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-8 - -6) + (-3 - 48\/(-10)). Let d = 15\/2 + -47\/6. Let h = 13 + -18. Which is the nearest to d? (a) h (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 10 - 4. Suppose j*c + 23 + 5 = 0. Let r = c + 25. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(128)*1 + 4 + sqrt(2) + sqrt(2)*-4.\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -11*y**4 + 3*y**3 + 2*y**2 - 92. Let u(c) = 23*c**4 - 6*c**3 - 5*c**2 + 183. Let n(b) = -5*j(b) - 2*u(b). Differentiate n(s) wrt s.\nAnswer: 36*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/4, -3\/2, -0.02, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -51?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -21*w - 1. Let o(b) = 4*b**3 + b**2 + 2*b + 1. Let a be o(-1). Calculate the remainder when d(a) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 + (-87)\/15)\/((-72)\/180). Let k(w) be the first derivative of -w**2\/2 + 3*w - 3. Let p be k(-3). Solve -p*f = -3*f - q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t, 1 v, and 1 o when four letters picked without replacement from {o: 1, a: 1, t: 1, r: 2, v: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11*c*k + 594*c - 591*k - 2 wrt c?\nAnswer: -11*k + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 875807155 is divided by 782.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of -15*y**8\/56 + 13*y**4\/12 + 12*y. Find the third derivative of k(q) wrt q.\nAnswer: -1800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 9*d**2 - 5*d + 5. Let y(m) = -2. What is -n(f) - 2*y(f)?\nAnswer: -9*f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 - 35*n**2 + 105*n - 169. Calculate c(32).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - q + 2. Let h(r) = -2*r + 1. Let z be h(-2). Let c = 8 - z. Suppose 2*v + a + 6 = 0, -16 = c*v + 3*a + 2*a. Give n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**5\/7 + 186*d**4\/7 + 21936*d**3\/7 + 526336*d**2\/7 + 528384*d = 0 for d.\nAnswer: -43, -16, 0, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 4378*q - 407216. Determine f(93).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 6 = 2*w. Sort -2, w, 5, 2.\nAnswer: -2, 2, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(1\/4))**46*h*h**(-1\/9)*h**5)\/(h**(-3\/4)\/(h**(1\/6)\/h)*(h**(-1)*h)**(-1\/4)) assuming h is positive.\nAnswer: h**(623\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -1519 by -44465.\nAnswer: 1519\/44465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -2230688, 2\/5, 5\/2, 4, 2 in increasing order.\nAnswer: -2230688, 2\/5, 2, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 245178 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.5 - 1.89. Let j = w + -11.01. Round j to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 79*t + 55. Let f be m(2). Suppose -14*p + f = -1705. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 15*x + 12*x - 17, 0 = 5*c + 5*x + 55. Let d = -4 - -3.9. Let k = d - 0.9. What is the smallest value in k, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 665145 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -171*g**2 - 5560071*g - 195090.\nAnswer: -3*(g + 32515)*(57*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the third derivative of -v**4\/24 + v**3\/6 + 11088*v**2. Let i(c) = 2*c**2 - 19*c + 1. Calculate i(b) - 3*l(b).\nAnswer: 2*b**2 - 16*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = -4, 11 = -3*g + 15*z - 14*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g - 24. Let k be a(8). Suppose -z - 5 = 2*c, -6 = 2*z - k*c + 3*c. Suppose 57 - 3 = z*r. Solve -19 = -4*h + 4*w - 3, 3*h + 3*w = r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 7*y - 2. Let b be p(0). Let h be ((5 - 1) + -4)\/3 + b. Let c(s) = -7*s - 1. Determine c(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 269124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + (7 - 21\/3) + 14 + -1. Let w(j) = j. Calculate w(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**1*c)**(-15\/8))**(-1\/5))**(6\/37) assuming c is positive.\nAnswer: c**(9\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-60))\/(12\/(-150)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*h**2 - 4*h**3 + 14*h**2 - 19*h**2 to g*h + a + t*h**2 + y*h**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-35)\/(-49))\/((-18)\/(-42))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwdw when four letters picked without replacement from {d: 4, w: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -2\/37, -113, 2\/11, -8 in decreasing order.\nAnswer: 2\/11, -2\/37, -7, -8, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -12 equal to -119\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 + -6. Suppose -3*x = -5 - 1. Calculate the lowest common multiple of x and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 80*r + 192. Determine l(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 2*t - 14*t + 5*t - 12.\nAnswer: -7*t - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the first derivative of 41*v**6\/120 - 17*v**5\/60 + 25*v**2 + 37. Let k(m) be the second derivative of q(m). Find the third derivative of k(o) wrt o.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 7405780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 16642323361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.066377 + -7?\nAnswer: -7.066377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**2\/5 - 130281616*b\/5 - 2121662433446432\/5.\nAnswer: -2*(b + 32570404)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*5\/(-150)*4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/(-40)*4*58. Suppose 8*a - f = 11. Suppose 1019 = a*b + 4769. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -129680 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -38 - 54 + 2 + 5*t**2 - 18 to the form j*t**2 + s + g*t and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -1 - 2 - 6) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k + 8*k**2 + k**2 - 10*k**2 - 4. Let u be h(0). Put u, -5, 0 in increasing order.\nAnswer: -5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -166 + 170. Suppose i*y = d + 81, 9 = -y + 2*y - 4*d. Calculate the smallest common multiple of y and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 3*z - 0. What are the prime factors of (z - 85)*(-2)\/6?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 130 - 124. Let r(h) be the third derivative of -h**6\/120 + 7*h**5\/60 - h**4\/4 - h**3\/3 + 57*h**2. What is r(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9071247497 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2784456 divided by -8\nAnswer: -348057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1157601 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/92676 and 41\/255?\nAnswer: 7877460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 870, 873, 876, 879, 882, 885?\n\"Answer: 3*c + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**5*o\/(o**7*o)*o**3*o**(-8) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13 - 3*t + 13 + (0*t - t + 0*t)*(2 - 1 + 0))*((-3 + 3 + 1)*(-2 - 1 + 1) + 163 + 96 - 435) to f + u*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = 3*f + 3*p, 368 - 366 = -p for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:31 PM and 12:27 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2212201102 (base 3) in base 12?\nAnswer: -28955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 145\/25 - (-5)\/25*1. Suppose -9*i - u + g = -11*i, -3*u = -4*i - 14. Sort i, 0, 2, -1 in descending order.\nAnswer: 2, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2050764.\nAnswer: 2, 3, 29, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -99 + 2379?\nAnswer: 22c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of i**5\/20 + 7*i**4\/12 + i**3 + i**2 + 5*i. Let r be h(-6). Suppose -3 + 9 = r*p. Solve -9 = -p*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 700172?\nAnswer: 2, 11, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/156 and -33\/14.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, g: 2}. Give prob of picking 1 g and 2 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of -z**4\/6 - 721*z**3\/3 + 1313*z**2\/2 + 1320*z. What is the first derivative of o(a) wrt a?\nAnswer: -4*a - 1442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 47 and 2303?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -1501 + 3000 + 483*l - 1493 in the form o*l + w and give o.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -9241967, 3 in decreasing order.\nAnswer: 3, -7, -9241967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 + 14*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7\/(-168)*4*-264954 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (12\/10)\/(305\/50 - 6) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0+-0.96\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/2 + 2 - (86 - -1). Let g be 2\/8*-2*2*v. Suppose -3*p - 4*z = -2*p - 29, p - 4*z = 29. What is the greatest common factor of p and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 165, -0.4, 2\/11, 0.3 in descending order.\nAnswer: 165, 0.3, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2939, 4, -2, 2\/3?\nAnswer: -2939","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/1 - 3\/6*4. Let h be 1\/(15\/i) - (-46)\/30. What is the smallest value in 0.2, h, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1467 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 136 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qrzq when four letters picked without replacement from {r: 8, q: 7, z: 3}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of 10*x**3\/3 + 2*x**2 + 8*x + 1124. Let o(s) = -s - 1. What is -h(b) - 6*o(b)?\nAnswer: -10*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 4 + 6*q**3 + 0 + 3*q**2 - q**2 as v*q**3 + x*q**2 + r*q + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3623 + 2*g + 3*g - 3*g.\nAnswer: 2*g - 3623","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-4)\/(-24)*15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a**5\/3 - 146*a**4\/3 - 1612*a**3\/3 + 2516*a**2\/3 + 3098*a + 1770 = 0 for a.\nAnswer: -59, -15, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**3 - o**2 + o + 4. Let p be r(0). Let n(h) = 0 - p - 4*h + 5. Is n(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-68)\/(-16) + (2 - 20\/16). What is the greatest common divisor of 170 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 366 a factor of 758718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 328 and 4944?\nAnswer: 202704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6 - -3)*4\/(-3). Suppose -4*o - 9 - 3 = -4*r, 33 = m*r + 3*o. Suppose r*j = 187 + 53. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 7*n**2 + 17*n - 12. Let i(f) = -10*f**2 - 25*f + 18. Let r(k) = -5*i(k) - 7*u(k). Suppose 15*t = 14*t - 73 + 68. Determine r(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -4\/3, -0.5, 5, 3, -4197?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (225\/275)\/((-8)\/(-88)) - 1*7. What is the closest to i in -2\/21, -1\/2, -44, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -38, -52, -66, -80?\n\"Answer: -14*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11084, 88428, 298360, 707174, 1381164?\nAnswer: 2386624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -147*f**4 + 2116*f**3*q**2 + 273*f*q**2 - 2*f*q + 7*f - q wrt f.\nAnswer: -1764*f**2 + 12696*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 369604.\nAnswer: 2, 92401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**2 - 7720*x + 1. Let q(z) = 10*z - 125. Determine f(q(k)).\nAnswer: -100*k**2 - 74700*k + 949376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {u: 2, o: 1, p: 4, v: 10}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/12 + (-5)\/5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 25228 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11489965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = u - 6*u, 28 = 3*a + 4*u. Let x = 812 - 803. Solve a*v = -x - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqzz when four letters picked without replacement from uqquzqqqqzuuuqwq.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -268.7104 + 267.54. Round p to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 373 - 351. Suppose -19 = -2*g + 29. Let f = g - a. Solve 0 = -5*u - k - 20, -4*u - 16 = -f*u + 2*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 8306, 33083, 74364, 132137, 206390?\n\"Answer: -2*j**3 + 8264*j**2 - j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 251646 and 48609619.\nAnswer: 291657714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hywcwhydqqqy. Give prob of sequence cqqy.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.5 - 0. Let o = j - 2. Let r be 3\/(60\/(-64)) + 3. What is the nearest to -2 in o, 0.3, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 245600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6389853 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 3*g + 47 - 31 = 0, -5*g - 16 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2978511, 2978508, 2978505, 2978502, 2978499?\n\"Answer: -3*p + 2978514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/63534 and 7\/792?\nAnswer: 8386488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 4*x**3 + 202*x**2 + 1285*x + 14. What is h(-43)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -331*s**6 - 51*s**2 + 5*s wrt s?\nAnswer: -39720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/5450 and -59\/60.\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3721 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: How many minutes are there between 1:44 PM and 8:24 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 308 divide 103023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**4\/3 - 7*u**3\/3 + 3*u**2 + 7*u\/3 - 8\/3.\nAnswer: -(u - 1)**2*(u + 1)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 40083204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000905324 rounded to six dps?\nAnswer: -0.000905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 2050\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the first derivative of t**4\/12 + t**3\/3 + t**2\/2 + t\/3 + 5. Factor k(y).\nAnswer: (y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.3, 1105853, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the second derivative of m**4\/12 - m**3\/6 - 4*m. Let y be a(-2). Solve 0 = -0*n - 2*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 PM and 2:58 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-1)\/(-2))\/((-4)\/(-8)). Let w be (1 - (2 - v)) + -92. What is w rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16bc (base 15) in base 4?\nAnswer: -1030212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/2 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of -6*f + 0*f**3 + 0*f**2 + 0 - 3\/10*f**5 - 1\/3*f**4. What is the third derivative of o(v) wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*n - 37*n = 4*q + 26, -23 = n + 5*q. Determine r so that -10\/7 + 12\/7*r**n - 8\/7*r + 8\/7*r**3 - 2\/7*r**4 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21154 = -5*v - 5654. Let t = v - 2019. What is t rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 26*x**2 - 4*x - 2. Let u be n(-3). Suppose 2*y = 4*i + 584, 3*y + 0*y = 2*i + 864. Let g = y + u. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -2*c**3 - 81*c**2 - 275*c - 2643. Determine j(-38).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4381921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 2*z - 5. List the prime factors of w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of 2*k**3\/3 - 3*k**2\/2 - 2*k + 1. Let m(p) be the first derivative of f(p). Let n be m(4). Solve -3*g + 2 = -n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6760969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -303, -1292, -2939, -5244?\nAnswer: -8207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -534, -919, -1330, -1767, -2230, -2719, -3234?\nAnswer: -3775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1636)\/(-44) + (-14 - 760\/(-55)). Solve 41 - n = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3498692000 to the power of 1\/2, to the nearest integer?\nAnswer: 59150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -5*d + 3 + 15, 0 = -d + r + 4. Let n(h) = -d*h - 9 + 7 + h. Determine n(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-26)\/(-416))\/((-6)\/(-24)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + (9 - 8))\/((-4)\/(-6150)). Suppose g + 2437 = 13*a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-126)\/(-33) + -4)*626\/(-12). Let n = -784 - -2323\/3. Let a = g + n. Are a and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 44 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*q = 24*q + 6293. Calculate the remainder when q is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78\/(-897) - (-884)\/3289?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 9 = -2*d. Suppose -16 = -5*r - q + 8, -4*r + 28 = d*q. What is the second derivative of -2 + 2 - r*j**3 - 4*j + 2*j**3 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of 5 - 25\/3*m**3 + 0*m**2 + 3*m. Find the first derivative of i(z) wrt z.\nAnswer: -50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 4 + 1)*(43 + 3*d - 43)*(-3*d + 4*d - 2*d)*(-3 + 5 - 1) as a*d**2 + q + j*d and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -69 - -140. Let w = 71.1 - s. Let z be (2\/16)\/((-2)\/(-8)*-3). Which is the nearest to w? (a) -0.4 (b) z (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 53146759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 4*(1 + -2 + sqrt(5) - sqrt(5) - (2 + (sqrt(5) - (sqrt(5) - sqrt(125))**2)) - sqrt(35)\/(sqrt(49)\/(5*sqrt(7)))) + 0.\nAnswer: -24*sqrt(5) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 22783, -0.1.\nAnswer: -0.4, -0.1, 22783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 189 - 200 - (-1 + 0 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2*u**3 + 4*u. Let c be i(0). Let a be (-168)\/72*(1 + c - 19). What is the highest common factor of a and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1500, -3, -2\/15, -1\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 168267 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be 39 - (-4 + 19)\/3. Suppose -v + 9 = -x. Suppose 10*w - x*w - 48000 = 0. Round w to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q\/q**(-12\/11))\/q**(-1\/10))**(1\/15))**(-2\/51))**(2\/81) assuming q is positive.\nAnswer: q**(-482\/3408075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90636?\nAnswer: 2, 3, 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -307 (b) -135 (c) -9 (d) 0.4 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 368 divide 49680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 525*i - 87*i - 82*i - 87*i - 93*i - 86*i - 88*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51487*n - n**3 - 922*n + 4682*n.\nAnswer: -n**3 + 55247*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.06 (b) -0.3 (c) -5271 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 225 and 248775?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and -393.71958398602.\nAnswer: -393.21958398602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -146*y + 9. Let t(u) = 412*u - 27. What is 17*k(j) + 6*t(j)?\nAnswer: -10*j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1050326 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 753.1566 millennia to months.\nAnswer: 9037879.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1551, 6689, 15413, 27723, 43619, 63101, 86169?\nAnswer: 112823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 120 and 829335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2371512 or 2371513?\nAnswer: 2371512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/6)\/(4\/36)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the second derivative of x**4\/6 - 3*x - 8. Let m(g) be the third derivative of -g**5\/30 - 13*g**4\/12 + g**2. What is m(i(t))?\nAnswer: -8*t**4 - 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/(-1))\/((-53)\/(1325\/(-200))). Let j = -0.2 + 0. Which is the closest to o? (a) -1\/2 (b) j (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/1146 and -3\/536.\nAnswer: 307128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be 16\/(-4)*21\/(-28). Let t(a) = -11*a + 9. Let p(g) = 4*g - 3. Determine s*t(m) + 8*p(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**2 + w - w)*((5*w + 0*w - 3*w)*(3 + 1 - 5) + 0*w + 2*w - 4*w - 3*w + w - w + (0*w + w + 0*w)*(0 - 4 + 2)).\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**2 + 59*m - 13. Let n = -13941 - -13970. Give v(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -5*y - 6*y + 1 - 2*y. Let l be d(-1). Find the second derivative of l*w**4 + 6*w**4 - 15*w**4 + 2*w wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1023 smaller than 998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 329484911 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 3*z. Let p(q) be the first derivative of 0*q**3 + 1\/12*q**4 - 2 + q**2 + 0*q. Let b(l) be the second derivative of p(l). What is b(c(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -3*l - 3*f + 43, -2*f + 10 = 0. Let s be l + (56 - (-9)\/(-3)). Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*i - i - 7*i**2 + 2*i**2.\nAnswer: -5*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, -44, -3, -2\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 72\/409 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13 + 66*h + 24*h - 29*h.\nAnswer: 61*h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 1 - 121*n + 106*n)*(-14 + 28 - 35) to l*n + v and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67, 87, 171, 343, 627?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is b + -515974?\nAnswer: -515965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -53*h**3*r**3*v**2 - 4*h**3*r**3 - h**3*r**2*v**2 - h**3*r**2*v + 2*r**3 + 120*r**2*v wrt r.\nAnswer: -318*h**3*v**2 - 24*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*o + 153 = 25 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3+-1169383900\nAnswer: -1169383897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 3*z - 36. Suppose 0 = 52*w - 128*w. Calculate u(w).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43327, -86657, -129987, -173317, -216647, -259977?\nAnswer: -303307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -257, -196, -135, -74?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -383.82?\nAnswer: -383.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 636*s + 1200. What is the hundreds digit of m(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 4*x = 249777, -5*x - 736782 = -4*r + 262284. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 90*m**3*v**2 - 31*m**2*v**3 + 2*m*v**3 + 4699*v wrt m.\nAnswer: 540*m*v**2 - 62*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.04 and 2.84304340198.\nAnswer: 2.88304340198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2433*i - 63. Let j(r) = -486*r - 12. Give 21*j(c) - 4*s(c).\nAnswer: -474*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5\/(-2)*(-64)\/40. Let v(a) be the third derivative of -1\/135*a**5 + 0*a - 2\/27*a**f + 19*a**2 + 0 - 2\/9*a**3. Factor v(u).\nAnswer: -4*(u + 1)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21888*r + 1 - 1 + 10953*r + 10933*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4314 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3 + 138*(-10)\/(-30). Suppose -30*v - g = -103. Factor -2\/9*q**v + 0*q + 8\/9.\nAnswer: -2*(q - 2)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 96896 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/156*(-30)\/3*-3?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5094 - 1341 = 4*o + b, -b + 942 = o. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 732802.\nAnswer: 2, 7, 17, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) -2\/3 (c) -1539 (d) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.05 times 258\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 76321934*l**4 - l**2 - 20834641*l + 1.\nAnswer: 1831726416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c*o**4 + 424*c*o**2 - 10*c*o - 4*c + o + 9 wrt o.\nAnswer: -24*c*o**2 + 848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 9419.703 to the nearest ten.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + h + 5 = 0, -76 = -4*z + 4*h. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 + 1. Let c be x(1). Suppose 1 = f - 2*r, 2*f - 5*r - c = -4. Let t(g) = -7*g + 2. Let o(a) = -3*a + 1. What is f*o(v) - 4*t(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -4*w + 80. What is the greatest common divisor of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - sqrt(204)*1*2) + sqrt(204) - sqrt(204)) + sqrt(204))\/(sqrt(12) - -5*sqrt(36)\/sqrt(3)) + -5.\nAnswer: -5 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 0 + ((sqrt(228) - -2*sqrt(228))*-5 - sqrt(228))\/(-5*(sqrt(12) + sqrt(24)\/sqrt(2)) - sqrt(12)) + 2.\nAnswer: 6 + 16*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1824339\/113 or -16145?\nAnswer: -16145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 4*u = 12, -u + 2411 = -7*f + 777 + 792 + 781 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 396221707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2458482 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -844 + 844 - 59*m**2 to the form i*m**2 + h*m + s and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 - -3)\/(10\/(160\/12)). Let x be 6\/(-4)*16\/(-6). Let q(v) = b*v - x*v + v + v - 1. Give q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13\/168 - 5\/24. Let i = 0.04 - 6.04. Let v = i + 5.5. What is the closest to 0.2 in v, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2847 times 109?\nAnswer: -310323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 3*n**2 - 2*n. Suppose 19*i = 716 + 25. Calculate the remainder when i is divided by j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + g - 36. Let b = g + 9. Solve 4\/3*m**2 + b*m + 2\/3*m**3 + 0 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*25\/(-2)*(-7)\/(-1890)*27*1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*a**5\/5 + 5732*a**4\/5 - 366136*a**3\/5 + 2797968*a**2\/5 + 73232*a - 560740 = 0. What is a?\nAnswer: -1, 1, 53\/6, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 3*v**3 - v**2 + v + 289. Calculate i(0).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -13235*w + 79416. Let u be i(6). Let h(l) = 9*l**3 + 6*l + 8. Let x(n) = -8*n**3 - 5*n - 4*n**2 + 4*n**2 - 7. Calculate u*x(t) + 5*h(t).\nAnswer: -3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 - 3*u**2 - 3*u + 3. Suppose -3*o + 0*o + 4*t + 45 = 0, -5*o - t + 75 = 0. Let j(p) = p**2 - 17*p + 32. Let n be j(o). Calculate i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1354957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 2*n - 6 - 4.\nAnswer: -2*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -6*v**2 - 7*v - 2. Let n be (-186)\/(-217)*7*1. Let f(x) = 21*x - 15*x + 2 - x**2 + n*x**2. Determine 4*f(k) + 3*u(k).\nAnswer: 2*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m - 2. Let f = -9 + 1. Let l be t(f). Suppose -k - 30 = -l*k. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bkshtuk. What is prob of picking 1 b, 1 h, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 426 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 45 = -2*s, -2*i = -0*s + s - 5. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3393 - -10371. List the prime factors of l.\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 283620226?\nAnswer: 2, 141810113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 104 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the first derivative of 0*a**6 + 0*a + 0*a**5 + 30*a**3 - 132\/7*a**7 + 0*a**2 + 103 + 0*a**4. Find the third derivative of o(s) wrt s.\nAnswer: -15840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -443331 (base 8) to base 12.\nAnswer: -72421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**3 + 8*s**2 - 4*s + 2. Let w(b) = b**3 - b**2 - b. Let z(k) = -q(k) - 5*w(k). Factor z(c).\nAnswer: -(c - 1)*(c + 2)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4018, 4023, 4030, 4039?\n\"Answer: u**2 + 2*u + 4015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36 + 2*h**3 - 270 - 41 - 10*h**2.\nAnswer: 2*h**3 - 10*h**2 - 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1551 (base 7) to base 11\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -3, 6, 0.085176?\nAnswer: 0.085176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 18*v + 34*v**3 - 7*v**5 + 6*v + 116*v**2 + 109*v**3 - 25*v**3 + 19*v**4 = 0. Calculate v.\nAnswer: -2, -1, -2\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9341, -12068, -14799, -17534?\nAnswer: -20273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-36) - (-29)\/4)*-2*1526\/196.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 7:56 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12662 or 12666?\nAnswer: 12662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 61 - 44. Find the second derivative of 29*t**3 + 5*t - h*t**3 - 25*t**3 wrt t.\nAnswer: -78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 8:33 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 67 + 36 - 36 - w + (-2 + 2 - 2*w)*(1 + 1 + 0).\nAnswer: -5*w + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -44 by -1084148.\nAnswer: 11\/271037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/198 and 26\/825.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (19\/19 - 5)*-1929?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151*y - 6497986484 + 6497986484.\nAnswer: 151*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 38 + -38. Solve s*z - 6 = -p + z, 3*z = p - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1011001 (base 2) in base 10?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -55 + 69. Suppose -37*b - k = -38*b. Solve -4*n - n = -3*y + 5, -4*y = -3*n - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/1387800 and 31\/10177200.\nAnswer: 30531600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2c + d8cc36?\nAnswer: d8cc08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add -0.3 and 0.2295193.\nAnswer: -0.0704807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -22*f**3 + 14*f**2 - 35*f + 5. What is g(2)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-5))\/((119\/(-210))\/17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -283\/3 + 290\/3. Let c(w) be the first derivative of 0*w + k*w**3 - 1\/2*w**2 - 1. Find the second derivative of c(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((20\/(-5))\/8)\/(((-2)\/16)\/((-1060)\/(-80)))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21430.\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes after 5:57 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 269*y**2 - 10. Let m(f) = f. Give m(o(j)).\nAnswer: 269*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8903058.9 + -8903164.89999875. Let c = -106 - k. Round c to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aacaaaaac. What is prob of sequence acaa?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 2*p - 3*p = 3, 8 = 2*m + 4*p. What is the third derivative of 3*n**4 - 3*n**m - n**3 + n**2 + n**3 wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 11) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the third derivative of i**6\/120 - i**5\/20 - 5*i**4\/12 + i**3 - 6*i**2 - i. Calculate the remainder when 10 is divided by p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away -5023.1?\nAnswer: 5022.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 241, -3, -65.\nAnswer: -65, -3, -1, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -258 + -33. Let l = -289 - p. Solve 3*m + 10 = o, l*o + 6 = -3*m - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(1\/4))**30*(x**0*x)**(-2\/51))**(-2\/51) assuming x is positive.\nAnswer: x**(-761\/2601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(35)\/(-1*sqrt(80)) - ((sqrt(42)\/(sqrt(18)\/sqrt(3) + sqrt(6)) - sqrt(7)) + -2).\nAnswer: sqrt(7)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(891) + sqrt(891) + sqrt(891) + sqrt(891)*-3 - sqrt(891) - sqrt(891)))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -3 (c) -10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 10:44 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 14*o**3 + 2068*o**2 + 76072*o - 21904.\nAnswer: 2*(o + 74)**2*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.014684 to four dps.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s*s**(2\/35)\/s*s)\/s*s*s*s*(s*s\/(s**8\/s))\/s)**(6\/11) assuming s is positive.\nAnswer: s**(-408\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 229*y - 18 - 79*y - 69*y - 75*y. Let a(w) = w - 1. Give -18*a(g) + l(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1348.999998778 - 1349. What is c rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -21*v + 1. Let r(a) = 20*a - 1. Let z(k) = -6*r(k) - 5*t(k). Let y be z(-3). Let w be (y\/(-5))\/((-3)\/(-15)). What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-1)\/(-2*(-8)\/(-416))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = -4*i + 2*r - 0*r, 0 = 2*r - 4. Let a be 4*(1 - i\/(-4)). Let l(v) = -6*v + 4. Let p(k) = -7*k + 4. Let j(h) = 5*l(h) - 4*p(h). Determine j(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**1)**(-17\/4)*n**8\/(n\/n**(-3\/5)) assuming n is positive.\nAnswer: n**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 246050 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/60 of a week in minutes?\nAnswer: 168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/2)\/((-2)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7227167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.3, 1973 in descending order.\nAnswer: 1973, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 51635 and 11270.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 197604 by 16467.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -10237583 - -18489.\nAnswer: -10219094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 103 - 99. Let u(w) = 5*w**2 - 2*w - 6. Let d(y) = 14*y**2 - 7*y - 17. Let z(a) = 3*d(a) - 8*u(a). Calculate z(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (-5 - 13) - -5 - (-3 - -38 - 1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 359480987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1944 - 18?\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.5 - 1.5. Which is the biggest value? (a) -0.4 (b) j (c) -6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xrkrkurkkrujukuu. What is prob of sequence kk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 445 and 275277?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 5*k**2 - 25*k - 1. Let u be i(5). Let b(n) = -4*n - 13. Let r(o) = -o - 3. Let p(z) = -2*b(z) + 9*r(z). Let m be p(u). Solve m*t = -4*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12*(-5)\/10*7\/(-56)*78\/507?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -265, -518, -761, -988, -1193, -1370, -1513?\nAnswer: -1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, r: 1, e: 1, g: 2, m: 3}. What is prob of sequence mecg?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(931))*6.\nAnswer: 6 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2*y**2 + 8. Let x(m) = m**2 - 5. Let c(n) = -5*i(n) - 8*x(n). Let o be (-4 - 1)*(-2)\/5. Let k(f) = -33*f - 15*f**o + 33*f. Calculate c(k(l)).\nAnswer: 450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 30 (base 9) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 13533*d + 4573. Is p(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4070568, 8141129, 12211688, 16282245?\nAnswer: 20352800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2*i**2 - 41*i + 18. Let c be h(-21). What is the third biggest value in -1\/9, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -448 + 453. Solve 3*w - 26 = -h - 2*w, k*h - 3*w + 10 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 68 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2617 - 2097. What is the lowest common multiple of 52 and o?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {e: 5, k: 1, z: 4, o: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 3 - 1) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, 638, 4\/3, -114\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -5*l**3 + 2*l**2 + 29*l - 2. Let v(z) = 18*z**3 - 8*z**2 - 86*z + 6. What is 7*s(j) + 2*v(j)?\nAnswer: j**3 - 2*j**2 + 31*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 192 - 50*m - 55*m**4 - 23 + 20*m**3 + 715*m + 5*m**5 + 76 + 530*m**2 + 30*m**3 = 0. Calculate m.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5, -2, -13, -50, -125, -250?\n\"Answer: -2*v**3 + 5*v**2 + 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 866150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3101 - -5?\nAnswer: -3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 980 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 + 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*l - 21 + 21 + l**3 + 0*l**3 - l**2 to the form b*l**3 + o*l + i + q*l**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/((-2)\/(-1)) + -1. Suppose -f - 4*f + 45 = q. Let x = -183 + 264. What is the highest common factor of f and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 + 2*v. Let m be q(0). Suppose -4*f + m*f = -g - 12, g = f - 3. Solve -4*k = 20, f*s + 3 = -k - 2*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2826*i**2*u**3 - 6171*i**2*u + 3*i*u**3 - 2*i*u**2 + 16*i*u + 125*u**3 + 2*u wrt i.\nAnswer: 5652*u**3 - 12342*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12045 is divided by 221.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -3603*m - 3695. Let t(g) = g. Calculate j(t(l)).\nAnswer: -3603*l - 3695","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 16 = -6*l. Suppose -20 = l*u, -17 = -0*z - 3*z + u. Suppose 6 = z*b - b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y**3 + y - 1. Let f be k(1). Let m(v) = v - 1. Let j(t) = 8*t - 12. Let i(u) = j(u) - 10*m(u). Let g be i(f). Solve 4*w - g = -18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-24 + 19 + 26)*(11*r**2 - 9*r**3 - 11*r**2) + (3*r + 7*r - 4*r)*(0*r**2 - 2*r**2 + 0*r**2).\nAnswer: -201*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add -185650797 and -0.03.\nAnswer: -185650797.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 20504*u = 761*u - 493795 - 1125131 for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-948)\/912 - -1)\/(3\/312). What is the smallest value in 0.5, b, 0, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c - 9. Let x be m(7). Solve -3*r + 40 = x*b, 2 = b + 2*r - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 5*j**2 + j. Let c be d(1). Suppose -4*b + b = -c. Suppose 34 = s + 2*a - 29, b*a - 282 = -4*s. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 4*s + 23814 = 0, -15876 = 2*h + 5*s - 3*s. What is the units digit of 4 - (h\/70 - 9\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*p - 129*p + 36*p in the form s*p + k and give s.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23621893774252 - 214888365500057687\/9097. Let m = 237915 - i. Let l = m - -627733\/181940. What is the common denominator of -91\/20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 25\/7 of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 3*q**2 - q + 5 - 3 + 2*q. Let f = -225 - -222. Give m(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -121\/4? (a) -2\/7 (b) -1\/6 (c) -3 (d) 0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 55301978 divided by -2?\nAnswer: -27650989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -165 - 320. Let d be -2*695\/10*-1. Let v = u + d. Calculate the greatest common divisor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -619*z + 700*z = -324. Let c(i) = -5*i**3 + 4*i**2 - 2*i - 2. Let o(n) = -4*n**3 + 3*n**2 - 3*n - 2. Give z*o(d) + 3*c(d).\nAnswer: d**3 + 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5278 or -5300?\nAnswer: -5278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.15, -37\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of 1\/6*u**4 + 0 + u - 5\/2*u**2 + 1\/2*u**3. Give a(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11.69 - -0.31. Let g = -2.57 - 10.33. Let j = 13 + g. Is j less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 - 6439)\/(2 + -1). Let k = v - -11602. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 8 = -v, 24*p - 26*p - 4 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 2 a, and 1 o when four letters picked without replacement from aaaaaoaarobbatbbara.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -44 + 49. Suppose 4*j - 3 = -3*t, -t - 3 = -5*j - a*t. Suppose j*u - 4*o - 19 = -4, -2*u + 10 = -3*o. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times -0.0133\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = 5*k + 17, -19 + 0 = 3*k + 2*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -72*n. Let l(i) = 145*i. Give -2*l(m) - 5*t(m).\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3898 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -2*w**2 - 1551*w + 41710. Give h(26).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -121 - -110?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 AM and 1:28 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 44*r + 13*r - 114 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*d**2 - 4*d**2 + 0*d**2 - 2*d**2 + d - d + (-d - d + 5*d)*(-283*d + 29*d - 43*d) to the form k + x*d + p*d**2 and give p.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**3 + 3*t**2 - 3*t - 3. Let y = -5 - 4. Let i be (-16)\/(-24)*y\/(-2). Let l(g) = -1 + 9 + 8*g - 4*g**3 + 2*g**3 - 8*g**2. Calculate i*l(j) + 8*q(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/115088 and 43\/134560.\nAnswer: 967890080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-162)\/(-12)*(-4)\/3. Let b be (-4)\/x - (-770)\/(-63). Calculate the common denominator of -23\/14 and (-3 + (-34)\/(-10))\/(b\/(-535)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + 0 - (11 - 15). Suppose k = 3*n - 2*n - 24, -r*k = 4. List the prime factors of n + (2 + -3)*0.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 3*m + 33. Let n be c(-10). Suppose -2*d + 8 = -0*d. What is the common denominator of 52 - (18\/d - n) and -37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 18*b**2 - 10*b - 18. What is the units digit of d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3298 and 796370?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -3*q**3 - 83*q**2 + 774*q + 88. Give g(-35).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10224631843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -8 - (20 + -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -154 + 82. Let r be (6\/20)\/(s\/30). Let x = 364 + -364. Which is the third biggest value? (a) 0.5 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 970482809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the third derivative of -l**6\/24 - l**4\/24 - 8*l**2. Find the second derivative of b(n) wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -11926*u + 59123. What is b(5)?\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, c: 4, z: 6, s: 4, m: 1, e: 2}. What is prob of sequence qeqs?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 890 a factor of 78253250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.077 * 451575\nAnswer: -34771.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 - w - 5. Suppose g = 4, -19 - 1 = -4*a - 5*g. Let q(b) = 5*b**2 + a - 8 + 2*b - 4*b**2. Let m be q(-4). What is h(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23579282817143\/5141747858780 - -2\/1940770455. Let y = -5\/1987 + m. What is the common denominator of y and 47\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*k + 7*k - 2*k to p*k + w and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33781.\nAnswer: 11, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, a: 9}. What is prob of sequence aka?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6061821 and 2357973?\nAnswer: 10767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b**3 + 9*b**5 + 0*b**3 + 2*b - 5*b**5 + (-b**5 - 6*b**5 + 3*b**5)*(-4 - 21 - 6).\nAnswer: 128*b**5 + 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 34, 69, 104, 139?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 5*j - 27 = 0, -2*w - 3*j - 11 = -3*w. Suppose -w = 4*f + 16. Let b be ((-3)\/f)\/(2\/4). Solve -5*u = 6 - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 724.9 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = t - 1. Suppose -d = t, -2*q + 3*d - 34 = -7. Let w = 38 + q. Calculate the remainder when 38 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 20 (b) -3 (c) -90 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22*g**5 - 4*g + 105*g**4 - 105*g**4 + g**2 - 191*g**5 - 9*g**2 wrt g.\nAnswer: -10140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 30 - 32. Let g = -0.2 - -1.2. Which is the nearest to g? (a) -0.2 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 384351, 770284, 1156217, 1542150?\nAnswer: 1928083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0746272 centuries to months.\nAnswer: 89.55264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/93613 (b) 1\/9 (c) 1\/5 (d) 0.3 (e) 2\/135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-52)\/2*(-332)\/(-664).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1569.268 micrograms in milligrams?\nAnswer: 1.569268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28811717 is divided by 2393.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -16682280 divided by 78690?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/2 - (-20)\/8. Suppose -3*x - 181 = -3*b + h*x, -x = -5*b + 331. Suppose -i - b = -2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/4)\/i)\/i*i)**12 assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -73300451*-0.4\nAnswer: 29320180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b - 7. Let u = 33 - 4. Suppose -3*n + u + 49 = 0. Suppose n + 19 = -5*a. Determine s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -537 = -22*s - 669. Let l(j) = j**3 + 2*j**2 - 5*j + 9. Determine l(s).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-140)\/(-84))\/(5\/18))\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/5 (c) 2\/813603 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54\/(-63))\/(-3*(-1)\/21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 167123513 to the nearest integer?\nAnswer: 12928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 287787893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 235, 470, 707, 946, 1187, 1430?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1204171 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of j**2\/2 + 8*j + 1. Let r be m(-8). Let b = 299.8 - 300. Put r, 1\/9, b, 2 in descending order.\nAnswer: 2, 1\/9, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8498239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -30269, -51287, -72303, -93317?\n\"Answer: t**2 - 21021*t - 9249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1 + (-26 - -18) + -3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f**(-3)))\/f)\/(f*((f**(2\/11)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, r: 3, a: 2}. Give prob of sequence ra.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0056586 rounded to 4 dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 4 + 8 - 1 + 11 - 5*w - 13. Let q(m) be the second derivative of 11*m**3\/6 - 9*m**2 + m. Let r(u) = 13*b(u) + 6*q(u). Determine r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11250 is divided by 249.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*l + 550 = -11*l. Calculate the remainder when 548 is divided by l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 243 + -350. Let c be 5\/3 + (-1860)\/36 + -12. Let t = c - r. Calculate the remainder when 86 is divided by t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -56 - -89. Calculate the remainder when i is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + r - 28 = 0, 3*s - 19 = -s - 5*r. What is the lowest common multiple of s and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*b**4 + 5*b - b**4 - 3*b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*z**3 + 1 + z - 189*z**3 - 11*z**2 + 172*z**3 in the form k*z + v*z**3 + u*z**2 + t and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4656 + 8377. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1380*f**2 - 963*f**3 - 307*f**3 - 1380*f**2 + (-1 + 2*f + 1)*(-1 + 1 + f**2) - f**3 - f**3 + 3*f**3 in the form u*f**3 + q + h*f + o*f**2 and give u.\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1625 (b) 4 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -5*g - 4*g**3 - 20*g**2 + 5*g - 32 - 2*g + 3*g**3. Calculate the smallest common multiple of 32 and i(-20).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + -266?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1.9 at least 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -571*i**4 + 7*i**3 + 7*i**2 + 7*i - 156. Let b(o) = 381*o**4 - 5*o**3 - 5*o**2 - 5*o + 103. Let q(c) = 7*b(c) + 5*n(c). Differentiate q(l) wrt l.\nAnswer: -752*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -0*p + 5*q + 35, p - 15 = 5*q. Let f be 1 - 0 - 2\/2. Suppose f*k = p*k - 325. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/11 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 + 8*m**2 - 9*m + 2. Let g be f(-9). Suppose g*u - 2 = u. Let h = 0 + u. Solve 3 = y + h*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.04 and -983?\nAnswer: 982.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or -44\/1451029?\nAnswer: -44\/1451029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2*2*1396\/(-176) + 32?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 272844? (a) 0.4 (b) 0.2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16078929 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/7)\/((-29)\/((-17255)\/(-10))). Calculate the greatest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -4*f**2 - 2*f - 19. Let v(u) = 11*u**2 + 6*u + 56. Calculate 6*v(n) + 17*z(n).\nAnswer: -2*n**2 + 2*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*-3*24\/12. What is the second smallest value in i, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -64*l**2. Let o(j) = -73*j**2. What is a(o(r))?\nAnswer: -341056*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, n: 1, w: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 1848775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*1\/(-7) + (-4675)\/(-119). Let m = -13 + y. What is the greatest common divisor of m and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -b + 175, 3*c - 15 = -0*c. Suppose -b = 3*r - 6*r. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2636 and 29042789?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168400 is divided by 736.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17 - 13. Suppose u*n - 5 = 3*n. Suppose -2*q + 66 = 2*r, 3*q - 134 = -n*r - 27. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 438*y**4 - 754 wrt y?\nAnswer: 1752*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 24 = -46. Let q be (l\/(-42))\/(2\/(-18)). Suppose 2*m = -3*m + 5*k - q, 3*m = 2*k - 6. Solve 3*u - j + 6*j - 40 = m, 15 = 3*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 457*x = 4974 - 871, 3*w + x + 1 = -23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32890, -33148, -33406, -33664?\nAnswer: -33922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the third derivative of -z**4\/8 + 7*z**3\/2 - z**2 - 56. Let q(j) = -j + 5. What is -5*g(c) + 21*q(c)?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 2993.168nm to centimeters.\nAnswer: 0.0002993168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.1, -6, -2\/13, -2\/23, 2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 2*f - 7*f - 16, -f = 3. Which is greater: -6\/29 or j?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2509469020.72+7\nAnswer: 2509469027.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 - 14*a**2 + 76*a - 24. Is n(-19) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63 + 60. Does 9 divide (-6 - -3) + 20 + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60 and 3236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.4 (b) 120 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11655 - -6963. Is d smaller than -4692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -c**3*r**2 - 19*c**3 - c**2*r**2 - 29*c*r**2 - 2*c - r**2 wrt c?\nAnswer: -6*c*r**2 - 114*c - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -275906890, -275906887, -275906880, -275906869, -275906854, -275906835, -275906812?\n\"Answer: 2*u**2 - 3*u - 275906889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*w = 3*t + 21, 9*t - 8*t + 2*w = -6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 376 and 2548904.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/2 < 0.138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = c + 5*b - 20, -2*b + 10 = 3*c. Suppose -c*z = -3*z + 60. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.223562 - 663.212912. Let d = 659 + j. Round d to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -8 (b) -3\/7 (c) -1 (d) -5 (e) -355 (f) 0 (g) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 14047 = y - t + 14132, 5*t = 4*y - 163 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 109611.9924 - 109592. Let n = -20 + b. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 17*c**3 + 3*c**2 + 10 + 62*c**3 - 3*c**2 with respect to c.\nAnswer: 237*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2221994, 4444375, 6666756, 8889137, 11111518, 13333899?\nAnswer: 15556280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 604746, 1209474, 1814202, 2418930, 3023658?\nAnswer: 3628386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + (17 - 5) - -7 - -1) + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xrrxxxrrrxxrxr. Give prob of picking 3 x.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6.5*-6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3*f**2 + 16*f - 5. Let p(a) = 2*a**2 + 17*a - 4. What is -4*k(l) + 5*p(l)?\nAnswer: -2*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of w**6\/120 - 7*w**5\/60 - w**4\/6 - w**3\/2 - w**2. What is the remainder when m(8) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 592 + 618 - 112920*z + 115443*z with respect to z.\nAnswer: 2523","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 6:29 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1232bb8 (base 13) in base 16?\nAnswer: -56632a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1.5 (b) 0 (c) -33 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 - -4) + (4 - 4) - -9616 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.51 + -0.61. Let v = -13 + 12.3. Let n = v - c. What is the biggest value in -1, n, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffffffddffdffff.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 98429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 176 - 125. Suppose -l - h - 9 = -3*y, 5*l - 4 = -y. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(1\/(-3)) + 5. Let i be -3*a\/6*-1. Suppose v + 2*t - 3*t - i = 0, 0 = -v + 2*t. Solve v*c + c + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1405059.8 and 1.2.\nAnswer: -1405058.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 155*s + 35 = -5*f + 157*s, -27*s + 160 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 16775 = -1242*d - 26695 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/3*(-3497 - -2). Suppose -24*y + 1366 + j = 0. Calculate the highest common divisor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i - 6 + i + 4*i. Let v(w) = w - 1. Let j(r) = -24*r + 21. Let o(d) = j(d) + 4*v(d). Calculate 6*o(a) + 17*y(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 7997185 divided by 2\nAnswer: 7997185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add together 984904 and 61223.5.\nAnswer: 1046127.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1154992 is divided by 96248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 + -14. Let w be (-4)\/2 + (-16)\/(-6). Factor 2\/3*r - 8\/3*r**4 - 8\/3*r**2 + 0 + w*r**g + 4*r**3.\nAnswer: 2*r*(r - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/84 and (145\/(-24))\/((120\/84)\/((-24)\/21)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a + 1. Let x = -297 + 292. Let i(t) = 2*t - 1. Let z(h) = -2*h + 1. Let j(u) = 2*i(u) + 3*z(u). Calculate x*m(s) + 3*j(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-6) - -2)*273\/(-1274)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 AM and 1:41 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 + t + 1. Suppose -2*l + 85 = 3*l. Let w(b) = -b**3 + 5*b**2 - 67*b + 444. Let f be w(6). Suppose -x - l*x = -f*x. Determine h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 179034 <= 179045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -4394 and 1270954.\nAnswer: 1266560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + (-1)\/(-1) - -2. Let a be (0 - r)*(-6)\/(-4). Let j = a + 7. Solve 2*w - 4 = 5*b, -7 = j*b + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*n + 13, 0 = -4*l - 6*n + 4*n + 4. Let m = -0.459 - -0.4. What is the third biggest value in m, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -89 - -317. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/29544 and -93\/846928?\nAnswer: 2540784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**2\/7 + 706*n - 89604\/7 = 0. Calculate n.\nAnswer: -2489, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -3*x**4\/4 + 5490*x**3 - 15541017*x**2\/2 - 15557490*x - 31125963\/4 = 0. Calculate x.\nAnswer: -1, 1921, 5401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (390 + p - 390 - 24*p**2)*(-23*p + 42*p**3 + 23*p).\nAnswer: -1008*p**5 + 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*t - 352 - 161 + 4*t + 71.\nAnswer: -46*t - 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -9*19*22\/9405\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the second derivative of r**7\/21 + 71*r**6\/30 - r**4\/6 - r**2\/2 - 99*r. What is the third derivative of v(g) wrt g?\nAnswer: 120*g**2 + 1704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, 21, 5 in decreasing order.\nAnswer: 21, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, p: 10}. What is prob of sequence ph?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-1)*d*d)**(-3\/7))**(1\/17)\/(d**(-1)\/((d*d**1)\/d*d)*d**(3\/2)*d**(-6)) assuming d is positive.\nAnswer: d**(1773\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -31402599*v**3 + 39779*v - 56.\nAnswer: -188415594*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-15 + 47 - -6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-12))\/(-3*4\/(-120)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = 7*z + 3. Let b = z - -2. Let q be (-3)\/b*(-4 + 7). Solve 0 = -3*n - q, -k + n + 1 + 0 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 5 - 6 = 4*k + 19 + 10, 0 = 20*k - 4*q + 56 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (0*t - 4*t + 2*t)*(-472*t**3 + 138*t**2 - 58*t**3 - 139*t**2) as x + b*t**3 + r*t**4 + a*t**2 + c*t and give r.\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -27991730, -27991721, -27991712, -27991703, -27991694, -27991685?\n\"Answer: 9*q - 27991739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1618.6 + 1619. Suppose -2*q + 1 = -19. Let v be ((-12)\/q)\/(2\/(-5)). Which is the third smallest value? (a) 5 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 268.2272 + 0.0363?\nAnswer: 268.2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.21, 1.6, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 321 (base 12) to base 2.\nAnswer: 111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -4750 <= -4754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of u**7\/2520 - 17*u**6\/720 - 11*u**5\/120 - u**4\/12 - 8*u. Let i(w) be the third derivative of m(w). Is i(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4081648047 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 225.\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1086, 4377, 9912, 17733, 27882, 40401, 55332?\nAnswer: 72717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(((-2415)\/(-3381))\/((-4)\/(-14))*4\/(-130))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 359513 and 1276.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -5*v + 90. What is t(25)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4565 is divided by 673.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/15 and -68\/735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j + 3*t - 3449991, 0 = 2*j - j + t - 689997. Round j to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-15)\/(-135)*12)\/((-4722)\/9). Is d at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 90462 and 2202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (276 + 12)\/18 - 32?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - 3*o - 13 = 0, o = -c - 8 + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 15070049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 249\/27376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is 44.05007 - 6?\nAnswer: 38.05007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 37 = -0*h + 5*h, 0 = 3*g + h - 30. Suppose -4*u - j + 730 = g, 5*u + 2*j = 895. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (-6 - (1 - 4) - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19.97 - 20. Which is the second smallest value? (a) 0.1 (b) i (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3310 + 5184. List the prime factors of t.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (4*28\/(-14))\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 38*u - 32. Let y be t(17). Calculate the highest common factor of y and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 - -103 - 38 - 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -3*y - 32. Let o be v(-13). Let f = 1 + o. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8306849827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/278730 and -43\/5667?\nAnswer: 526520970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in 2, 12\/11, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82786883 is divided by 411875.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*n + 120*n = -2*b - 16, -48 = -4*n - 4*b. Suppose -u + 645 = 2*u - 5*x, u = x + 217. What is the greatest common divisor of u and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4.71? (a) 2.6 (b) -0.3 (c) 0.1 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -571*i - 7994. Let t be m(-14). Factor t + 2\/7*r**2 + 34\/7*r.\nAnswer: 2*r*(r + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -332223 + 30?\nAnswer: -332133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 5186843, 5186839, 5186833, 5186825, 5186815, 5186803, 5186789?\n\"Answer: -t**2 - t + 5186845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*i + 9*i - 37*i + 4*i.\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.2150422 + 0.215. Round k to six decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-215)\/(406350\/(-4320))*2\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:47 PM and 7:14 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of -s**4\/4 - 4*s**3 + 81*s. Factor h(c).\nAnswer: -3*c*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 = -3*g + 5. Suppose -g*y - 18 = -12*y. What are the prime factors of 250\/6 - y\/27?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/80*5 - 14\/40.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of -7*f**6\/720 - 19*f**4\/24 - 46*f**2. Let r(k) be the second derivative of v(k). Let h(z) = -3*z. Calculate h(r(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -260, -769, -1620, -2813, -4348, -6225, -8444?\n\"Answer: -171*x**2 + 4*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -722144 - -2?\nAnswer: -722142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 73 + 58 + 3*n - 48. Let y be w(-28). What is the closest to y in -1, -2, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (42\/15)\/(((-280)\/(-50))\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 464530.\nAnswer: 2, 5, 11, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 39 = -18*x + 43 + 108, 4*l + 2*x + 5 - 21 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 2*a = 80. Let t be ((-16)\/a)\/(2\/5). Is -3\/5 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 16\/8 + 1*3. Let m(a) = a**3 - 5*a**2 + a - 1. Let r be m(f). Find the third derivative of 2 - w**5 + w**2 + 2 - r wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -83, -29294, -1\/2 in ascending order.\nAnswer: -29294, -83, -15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 28 + -19. Let s = -6186 + 6215. Calculate the smallest common multiple of s and u.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 4*o**2 + o - 7. Let i be p(3). Suppose -1 = -c + 4. Solve -c = -2*h + i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 6*l + 9*l + 4*l. Solve 5*q - 812 + 792 = l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2 = -3*h - 4, 0 = -4*h + 2*m + 4. Suppose 8*q = -h*q + 1040. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-50) + 731*(-585)\/2725125?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, p: 3, n: 4, v: 9}. Give prob of sequence nn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7.46 + 7. Let n = u - 0.04. Let k be 259\/420 + 6\/(-8). What is the smallest value in -1\/5, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6975 = -288*u - 313*u + 826*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 4*c = -3355 - 19812, 9278 = 2*y - 4*c. List the prime factors of y.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) + (sqrt(72) + sqrt(72) + (sqrt(72) - ((sqrt(72) - (sqrt(72)*-4 - sqrt(72) - sqrt(72))*-4) + sqrt(72))) - sqrt(72)))\/(-5*sqrt(294)))**2*3.\nAnswer: 900\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -4*j + 7, 15 = 4*j + 2*b - 7. Let o be (18\/15)\/((-6)\/(-20)). Suppose -5*w = 5*u + 5, -j*u = -3*w - 23 - o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 + 6*m**2 + 2*m - 1. Let r be b(5). Suppose w + 358 = 5*g, g - 28 = 5*w + r. Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -930 - -1751. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17578\/329 - (-88)\/56?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104*k + 9090 = 114*k. Let i = 4316 - k. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7403.\nAnswer: 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 71817071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 162 = -4*n - 5*l + 106, 182 = -13*n - 3*l for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 299 = -5*q. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -60*q - 5. Let p be y(-1). Suppose -2*k = 4*t - 2*t - 62, -k = 5*t - 39. Let r = p - k. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 3) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 - 8. Let j(q) = -4*q - 116. Let x(n) = -2*n - 2. Let m be x(13). Let z be j(m). Sort z, c, -0.4.\nAnswer: z, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5\/(-15))\/(2\/(-246)). Let q = o - 22. Let f = 34 + q. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a**4\/5 + 516*a**3 - 266202*a**2\/5 + 232712*a\/5 + 3163776\/5 = 0 for a.\nAnswer: -3, 4, 112, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*14871.\nAnswer: -1487.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 12*h**3 - 226*h**2 - 37*h - 14. Give v(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - -7729578?\nAnswer: 7729574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1414238377.\nAnswer: 2089, 676993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-152)\/(-48) - (-2)\/(-12). Suppose o*r = -r. Let p(m) = -m**2 - m - 4. What is p(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 + -54. Does w = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/14 - (-60)\/105?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -11*x**3 - 4*x**2 + 12*x + 4. Let u be s(5). Let k = u + 2088. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 5 (b) -13\/4 (c) -0.04 (d) -1 (e) -0.5 (f) -0.05 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - k - 2*q = 592, -4*k - 4*q = -2428. Let l = k + -315. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15)\/4)\/(((-399)\/(-56))\/19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1287 and 468.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 3*g - 29. Put -4, -13, g in increasing order.\nAnswer: -13, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31b (base 12) in base 5?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f + 1344. Is 6 a factor of j(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:02 AM and 4:21 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 + -4. Suppose y*t - 182 + 47 = 5*r, -84 = -3*t - 2*r. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -123.6 + 100. Let o = l + 20.78. Let p = o + 2.7. What is p rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -14 (base 10) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 130349*f**3 + 5*f**2 - 13561.\nAnswer: 782094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*j*m**3 - 67*j*m**2*p - 66*j*p - 22*m**3 + 6*m**2 - 267*m*p wrt j?\nAnswer: 3*m**3 - 67*m**2*p - 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169 - 778 = 7*i. Let k = 222 + i. Calculate the greatest common divisor of k and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (95 - 51) + 16 + -95.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1266566, -2531398, -3796230, -5061062, -6325894?\n\"Answer: -1264832*v - 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 17 (b) 3.965 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6)\/(-2) - (-1183)\/(-338). Sort 0.3, 5, 1.2, 0, g.\nAnswer: g, 0, 0.3, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 192422.4 millilitres?\nAnswer: 192.4224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 137 + 718. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4798 - 7 - 9\/(9\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 20*y + 4. Let k be t(0). Find the second derivative of 9*l - k - 109*l**4 + 13*l - 30*l + 3 wrt l.\nAnswer: -1308*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -79*g - 1032 - 1587 - 1592 + 4209.\nAnswer: -79*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 121770 and 28413?\nAnswer: 852390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s + 215 - 227. Suppose f - s*m = 248, -2*m - 2*m - 12 = 0. What are the prime factors of f?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 71*l - 40 - 64 + 33 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.430000552 + 0.43. What is g rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.06 + -1.94. Suppose -3*q - 4*o = q + 24, -5*o = 2*q + 21. Let p = -10101.5 - -10101. Which is the third biggest value? (a) 0.12 (b) p (c) i (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -8*i**2 + 77*i - 39. Let b be n(9). Solve r - b*r - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (7\/(-35) - 9\/45)*10. What is the closest to -22 in -1, -3\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m - 3 + 3. Let j(x) be the first derivative of -x**2 - 13. Calculate o(j(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (580\/112665)\/((-2)\/21*3)\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in sixty-two thirds of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -167 + 165. Which is the fourth smallest value? (a) n (b) 12\/11 (c) 6\/11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 487 - 481 = -j, -5*j - 30 = 9*z for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/29)*(o*o*o*o**7)\/o)\/(o\/(o*o**(-1\/4)*o*o*o))**(18\/5) assuming o is positive.\nAnswer: o**(5461\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a**3 - 4*a - 2. Let v(q) = -q. Suppose w = 2*l - 5, 0 = 61*w - 62*w + 3. Give l*v(s) - d(s).\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 34936 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -2*r**2. Let t(u) be the third derivative of -63*u**5\/20 + 23*u**2 + 1. What is s(t(n))?\nAnswer: -71442*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -53 + 58a?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*r**2 + 3*r**3 + 4*r**2 + (0*r**3 - r**3 + 3*r**3)*(47 + 18 - 20).\nAnswer: 93*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1680, 1666, 1652, 1638, 1624, 1610?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (3*2*sqrt(65) + sqrt(65))\/(sqrt(50)\/(sqrt(40)\/sqrt(4)))*4.\nAnswer: 3 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*p - 9194 = 126438 + 20432. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0\/(-1))\/2 + 6. Let y(x) be the first derivative of x**4\/2 - 2*x**3\/3 - x**2\/2 + 568. Let v be y(p). Round v to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14784965 to the nearest integer?\nAnswer: 3845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is g in -g**3\/6 + 194*g**2\/3 - 38021*g\/6 + 37249\/3 = 0?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -145, -291, -437, -583?\n\"Answer: -146*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-156006)\/(-1605) - 111) + -1 + -7 + 1?\nAnswer: -104\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3589300 divided by 130.\nAnswer: -27610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -135 (base 10) in base 2?\nAnswer: -10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 18\/13111 and -101\/252.\nAnswer: 471996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 363793323 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 1\/6, 0.1, 0.3, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.01 - -0.11. Let n = -28 - -74. Suppose 31 - n = 3*x. Put -2\/5, p, x, 4 in increasing order.\nAnswer: x, -2\/5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 307003380?\nAnswer: 2, 3, 5, 67, 76369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 87 and 19128?\nAnswer: 554712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**4 - w**3 - w - 1. Let s(g) = 6*g**4 - 4*g**3 - 3*g - 3. Let z(k) = 3*o(k) - s(k). Find r, given that z(r) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 20*q - 5 + 17*q + 22. Let b(f) = -25*f - 11. Let c(g) = -7*b(g) - 5*v(g). What are the prime factors of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*i - 4 + 4)*(1 - 2 - 2)*(19*i - 13*i + 4*i).\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(176))*-2)**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -62263, -62213, -62163, -62113, -62063, -62013?\nAnswer: -61963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 4, d: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 73695457*g**2 + 21013364*g?\nAnswer: 147390914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0\/1 + -1)*-2. Suppose s*l - 15 = -f, -3*l + l = 3*f - 33. Suppose -6 = -3*u + 3*x, 2*x + 3*x = 4*u - 10. Solve -2*k + 5*k - f = u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.03755 milligrams in micrograms?\nAnswer: 2037.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zuuzuuuuuuuuzzuuuuuu. Give prob of sequence zu.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.1 + 5.2. Which is bigger: -17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 125 - 125 + 20*z**3 + (-4 + 0 + 3)*(z**3 + 1 - 1) - 96*z**3 + 470*z**3 - 239*z**3 to the form k*z + u + b*z**3 + v*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -135 + 291344?\nAnswer: 291209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -110021200 + -11?\nAnswer: -110021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 21 + (8 - -32) + -27\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t - 4 = 7*t. Solve t + 0 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/1124464 and -111\/6644560.\nAnswer: 73090160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-197*h - 85*h**2 + 197*h)*(-3 - 37 - 33).\nAnswer: 6205*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000842 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 936 = 3*c, 115*v = 5*c + 110*v - 1560. Sort 1\/20, 5, c in descending order.\nAnswer: c, 5, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, t: 3}. Give prob of sequence ttth.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.07429 and 9.\nAnswer: -0.66861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*a + 16*a - 9 + 5*a**2 wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/((2\/4)\/((-8)\/16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -3*r + 16, -5*b + 8 = -4*r - 9. Suppose 4*x - b*x - 6 = 0. Let n(c) = -2*c + 5*c - 2*c + 12. Determine n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f - 5. Let y(i) = i**2 + 6*i + 8. Let d be y(-4). Let x(a) = 1 + 3*a - 2*a + d - 2. Let h(p) = n(p) - 5*x(p). Let b(s) = s**2. What is b(h(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 3*j = -10, v - 65 = -6*v + 3*j. Suppose 0 = 4*p - 3*p - 8. Solve -v*m - 15 = -p*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 3*s + 3*b, -s - 3 = 2*b. Find the third derivative of -2*m**s + 3*m**3 + 2*m**2 - 3*m**3 + m**2 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -2176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, 0.4, 1065, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/3)*q*q*(q**(-2\/7)\/q)\/q*q)**39\/(q*q**(-3\/2)\/q*q*q**8)**(-1\/23) assuming q is positive.\nAnswer: q**(4889\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**2. Let b be t(0). Suppose -2*a - a + 87 = b. Let k = -1 + a. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24504 is divided by 380?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 25*o**2 + 28*o + 37. Let w be c(-26). Let r(n) = -19*n - 53. List the prime factors of r(w).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50174.26 millimeters in nanometers?\nAnswer: 50174260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0, 0.005, -7, -1.734, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 11521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 17, -91, -199?\n\"Answer: -108*j + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*c - 2317 = 109*c + 698 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -4684243 (base 11) to base 4.\nAnswer: -133023322323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1575947473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of -32*x**7\/21 + 48*x**6\/5 - 97*x**5\/5 + 12*x**4 - 8*x**3\/3 - 6*x + 4. Determine k, given that b(k) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 4*b + 726. Let u = -2727 + 4594. Let a = u + b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4838119 is divided by 628.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 218 and 22144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 - -1331302123?\nAnswer: 1331302120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -734 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**2 - 4*f**2 + 2*f**2)*(6*f**3 - 4*f**3 - 3*f**3) + f**3 + f**5 - f**3 + (-f**2 - 3*f**2 + f**2)*(-2*f**3 - f**3 + 2*f**3) + 3*f**5 - f**5 + f**5.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lwru when four letters picked without replacement from rurluurrrwlluwuururw.\nAnswer: 49\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 2 - 1 = 0. Differentiate s**3 + s**m - 4*s**3 + 0*s**3 + 1 with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - b = -20, 20*s - 12 = 22*s - 5*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 29 - -2 - (305 + -299)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -33497 divided by -1763\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 229457000 to the nearest 1000000.\nAnswer: 229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1177 (base 8) to base 11\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.6, 11795, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2273145 and -24.75?\nAnswer: 2273120.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -571 smaller than -570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 + 1. Give q(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 57399.27 months?\nAnswer: 4.7832725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4 (b) -14\/37 (c) 9 (d) -2\/3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 + 6*j + 39 + 25 - 10 + j**3 - 3*j. Let y be r(0). Calculate the greatest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*x**2 - 11*x**2 + 7*x**2 - 2*x**3 + 29*x.\nAnswer: -2*x**3 + 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/170 and 1\/2?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20340454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 2*j + 24 = 0, -2 - 13 = -5*j. What is the hundreds digit of n*3\/(-63) - 15177\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) -205 (b) -4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum 1907 and -78180.5.\nAnswer: -76273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1927 - -6099. What are the prime factors of z?\nAnswer: 2, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3786 + -3648. Calculate the smallest common multiple of 92 and f.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -o**5\/6 + 161*o**4\/6 - 1999*o**3\/3 - 108193*o**2\/3 + 1333*o\/2 + 72075\/2 = 0. Calculate o.\nAnswer: -25, -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 17657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -893*d**4\/4 - d**3\/3 - 949*d**2\/2 + 90*d - 3. What is the second derivative of k(w) wrt w?\nAnswer: -5358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**2*m)**(3\/8)*(m\/(m*m**(-5\/2)))\/m*m\/(m**0*m*m))**23 assuming m is positive.\nAnswer: m**(299\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 829 + -589. Calculate the lowest common multiple of y and 32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -179 - -6443\/36. Let o = v - 17\/36. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate r**2*t**3 + 3*r**2 + 99*r*t**2 + 138*r - 3*t**3 with respect to t.\nAnswer: 3*r**2*t**2 + 198*r*t - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -1*sqrt(128) + -2*(-1 + sqrt(128))**2.\nAnswer: -254 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6283 is divided by 84.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 48\/(-32)*(-208)\/12. Suppose 0 = -2*q - 4*b + 50, -4*q + 112 = -5*b + b. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237.27006 months in years?\nAnswer: 19.772505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -3*g. Let f(c) = c**3 + 4*c**2 - 6*c - 4. Let k be f(-4). Suppose -4*t - k = -0*t. List the prime factors of d(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2\/17157 + 17147\/85785. Let h = -3.03 + 3. Let g = h - 2.97. Which is the second biggest value? (a) -5 (b) g (c) r (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-230)\/(-483)*3\/5*-2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 2\/13 (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 25\/9 - 31\/9. Suppose 0 = 4*q - 3 - 17. Let w(x) = x + 8. Let z be w(-7). Which is the nearest to 3\/4? (a) q (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13 in 2\/11, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -4.02, 3, 0 in increasing order.\nAnswer: -9, -4.02, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 - 796.\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 131 + 939. Solve k*j + 6 = 1068*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = i - p - 856, 5*i - 2*p = 4300. Let m = 1476 - i. Suppose -4*w - 2*x + 428 = 0, m = 4*w + x + 186. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -96\/7 + 1199\/91. Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -6*y**2 + 1092*y - 9339. Give i(173).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of -u**5\/390 + 114*u**4\/13 - 155952*u**3\/13 - 940*u**2. Let c(d) = 0. What is d?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -57106799*s**3*x - 360520*s**3 - s**2*x + 497*s**2 wrt x.\nAnswer: -57106799*s**3 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1*3\/(-6))\/((-2)\/16). Put q, 2, -20 in descending order.\nAnswer: 2, q, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 2 + 2 = 0. Suppose -4*n + 5 = -c - r, -4*n - 4*c + 12 = 0. Let u be 0 - 1*(-2)\/n. What is the greatest common factor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -2251 divided by 44568\nAnswer: -2251\/44568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of -153\/5*t**5 - 9\/2*t**6 - 89*t**3 - 309\/4*t**4 - 12*t - 7 - 48*t**2. What is k in a(k) = 0?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00211492984 rounded to 5 dps?\nAnswer: -0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 2*r = -14, -5*i - 2*r = 3*r + 10. Suppose i*g = -5*g + 574. Let u = g - 17. Calculate the remainder when u is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2*m + 1 - 3)*(0*m**2 - m**2 - 3 + 5).\nAnswer: 2*m**3 + 2*m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1146, -1160, -1174, -1182, -1178, -1156?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 287998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the first derivative of q**2\/2 - 416. Let g(a) = -37*a + 20 + 2 + 15*a. Let v(m) = g(m) + 6*u(m). Find the first derivative of v(p) wrt p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y**4 + y**4 + 4*y**4)*(-1 - 4 + 4) + (y - y + y**3)*(-6*y - 4 + 4).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -12*g**3 + 1. Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 824 = -340*y + 443*y. Let q = 2 - -25. What is the third derivative of -2*n**2 + y - n**4 - q*n**6 + 13 - 7 wrt n?\nAnswer: -3240*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 455, 1184, 2187, 3464, 5015, 6840?\n\"Answer: 137*o**2 + 318*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 2*g + g + 16, d - g = 4. Suppose 0 = 3*t + 2*u - 134, 0 - 1 = -u. Suppose t = 5*h + 2*k - 229, -d*k = 2. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*k - 13. Suppose -28*p + 2356 = -k*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28148 divided by 31.\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -2\/11, 120, -5\/28?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001001101101 + -1111?\nAnswer: 1001001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -4. Suppose -u - 12 = -4*w, 3*w - o*u + 4*u = 16. Solve -15 = s + w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 277036 and -10.8?\nAnswer: 277046.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - -10) + (0 - 10) + (-2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 4*y + 5. Let p be c(-2). Let o(v) = -38*v + 1. Is o(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the third derivative of -x**6\/60 - 2*x**5\/5 + x**4\/4 + 71*x**3\/6 + x**2 - 169. Give w(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -64 - ((-1)\/(-3) - 0)\/(32\/(-96)). Suppose 0 = 5*b + n + 314, 0*n - 127 = 2*b - n. Is b <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -16.83 and -23576.\nAnswer: -23592.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 - 99*t**2 + 369*t + 1081. Calculate y(95).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -32, -143, -330, -593, -932, -1347?\n\"Answer: -38*d**2 + 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 3 + sqrt(1216) + -5)**2 - ((sqrt(1216) - (-5 + (4*sqrt(1216) - sqrt(1216)))) + 4).\nAnswer: 16*sqrt(19) + 1207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 5*d - 47 = 0, 5*j - 50 = -4*d + 101. Let f be 981\/4 - ((-24309)\/148)\/(-73). Calculate the greatest common factor of j and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3744 divided by 1248.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 e, and 1 y when three letters picked without replacement from feliffeiyfiieyz?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**3 + 7*w**2 - 5*w - 5. Let u be o(6). Let k = 0.0078 - 0.5078. Which is the third biggest value? (a) k (b) -10 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -8, -50, -124, -236, -392, -598, -860?\n\"Answer: -f**3 - 10*f**2 - 5*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2.532056 + 0.1\nAnswer: 2.632056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 2 = -4*k. Let a(z) = -k - 8*z + 2 - 3. Is a(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 + 1. Let n be (-8616)\/(-28) + (-2)\/j. Suppose -2*g - 2*g + n = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of -7*c + 1\/3*c**4 + 0*c**2 + 0 + 2*c**3. Factor v(l).\nAnswer: 4*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 - ((-9)\/3 - 2). Suppose d - w = -d. Find the second derivative of 3 - 4 + 2*n**2 + d + n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2*m - 23. Let s = 62 + -75. Let v be f(s). Suppose a + 5*k - 81 = 0, 2*k + 2*k = v*a - 186. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 850.558 + 6442002?\nAnswer: 6442852.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*s + 88*s + 295*s - 1280 = 52 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 6484, 25948, 58374, 103762, 162112, 233424?\n\"Answer: 6481*r**2 + 21*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(392) - (sqrt(392) - -2*sqrt(392)))\/(sqrt(72)\/sqrt(2)).\nAnswer: -14*sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 28 and 4172?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/1973 and -75\/4.\nAnswer: 7892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -5 - 5*u - 3*u - 6*u in the form o*u + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 7 - 7)*(4 - 4 - 3 + (5 + 1 - 5)*(2 + 2 - 2))*(4*c**3 - 3*c**3 + 0*c**3).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 9229164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 247457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -3*r**3 - 5*r**2 + 2*r - 1. What is k(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*z**2 + 9 - 2*z - 9.\nAnswer: 35*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5.7 - 6. Let i = 1\/65 - -123\/455. Which is the nearest to 0.1? (a) r (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -25045438.171 to the nearest one hundred.\nAnswer: -25045400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/28 and 33\/980.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 578 less than or equal to 45731\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -3*m**2 + 616*m + 4574. Calculate b(213).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -98*o**3\/3 - 3640*o**2\/3 + 1058*o - 228.\nAnswer: -2*(o + 38)*(7*o - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -7*v - 8*v - v - 14*v as h*v + l and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1161 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x = 3*g + 77, 108871*g = -2*x + 108866*g - 27 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 675.7921 decades?\nAnswer: 81095.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5188 + 14116 = -1691*z + 1835*z for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 423268 and 1772.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10)\/45 - (-4)\/(-63). Let l = 321\/2149 - 2\/307. Let s = 5\/16 - 9\/16. Put h, l, s in decreasing order.\nAnswer: l, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 141716?\nAnswer: 2, 71, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -3. Let i = -6 - n. Sort 0.2, 1\/7, i.\nAnswer: i, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 divided by 3470.\nAnswer: 3\/694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 253*h + 1517. Let j be m(-6). Sort -3, -5, 1, -2, j.\nAnswer: -5, -3, -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 97*t - 103*t = 2*l + l - 30, 400 = 100*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -47 + 86. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 245*l + 238*l - 735*l + 252*l - 213*l**2.\nAnswer: -213*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 + 7*r**2 + 13*r - 11. Let c be v(8). Calculate the greatest common divisor of c and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, m: 1, y: 1}. Give prob of sequence yq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -4 + (31 - -4 - 7 - -4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22753488 is divided by 496?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4843 - 1?\nAnswer: 4842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**3 - 39*m**2 - 18*m + 148. Let j be r(28). Suppose 21*u - j = -603. Is u a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93 = -0*p - 3*p - 4*q, -4*p = -4*q - 124. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 124562362118 and -50.\nAnswer: 124562362068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -763 + 1794. Let o = n - 1030.9529. What is o rounded to 3 decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (103 - (173 + -54)) + 35 + -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1451?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98927 is divided by 93.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m**3 + 7060*m**2 + 70236*m + 63180 = 0 for m.\nAnswer: -1755, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 299035 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - -8b26b52?\nAnswer: 8b26b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*o**3*q**2 - 10*o**3*q + 696743*q**2 + 3002*q - 4 wrt q?\nAnswer: -14*o**3 + 1393486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q**4 - 943*q**3 - 73314*q**2 + 124188*q - 49928 = 0.\nAnswer: -158, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u**2 + 13*u + 17. Let c(n) = -n**2 + n + 2. Give -8*c(m) + r(m).\nAnswer: 11*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuuumukkkkkuukukkzum. Give prob of picking 2 k and 1 m.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/13, 0.4, -8, -0.2, 337\/4 in descending order.\nAnswer: 337\/4, 0.4, -2\/13, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ee (base 16) to base 8\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.9 + 0.4. Let h = y - 18.3. Let u = 20.6 + -20.7. Which is the closest to h? (a) 0 (b) u (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/((z\/z**(-6))\/z)*z)\/((z\/z**8)\/z)*((z*z**(-1))\/z)**(-13))**(-4\/31) assuming z is positive.\nAnswer: z**(-72\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53129.\nAnswer: 53129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be (8\/32)\/(1\/4). Let y(j) = 0*j - 3*j - 4*j + u + 9*j. Suppose 6*t - 33 = 3*t. Let i(m) = -4*m - 2. Calculate t*y(h) + 6*i(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eesbsdeesben. What is prob of sequence debb?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22 - -11. Sort n, 5, 2 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, h: 2, t: 1, e: 2}. What is prob of sequence hte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/1*(-34)\/((-8092)\/2590). Which is bigger: l or 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*m - 948 + 25030 + 26228 = 931*m for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + -1. Let i = -254 - -249. Sort -0.03, o, i in increasing order.\nAnswer: i, o, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:53 PM and 5:05 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 471*c**2 - 147*c**2 - 148*c**2 - 176*c**2 - 2267*c**5 + (-4*c**2 - 4*c**2 + 6*c**2)*(-2*c**3 + 3 - 3).\nAnswer: -2263*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1*-3)\/((-288)\/19680). Solve -34 = 188*v - y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1288 and 2392.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150593673 + 75296831 + 75296842 - 4*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d + 17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(20)\/sqrt(2)*-3)\/(sqrt(24)\/(sqrt(24)\/sqrt(2))) + (-3 + sqrt(15)\/sqrt(3) + sqrt(5) + sqrt(720) + 0)*-1)**2 + 3.\nAnswer: -102*sqrt(5) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3 = 2*u. Let q = 2 + u. Let b(h) = -6*h**3 - h**2 + h - 1. Calculate b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w**2 + w + 15. Let n(p) = -p**2 - p - 7. Let j(m) = -5*n(m) - 2*v(m). List the prime factors of j(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:09 AM and 8:09 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 73942146*c**3 + 68*c**2 + 26548 wrt c?\nAnswer: 443652876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {g: 2, x: 1, i: 2, f: 1, z: 2, v: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 20.946634 to 2 decimal places.\nAnswer: 20.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1345?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/2)*o\/(o*o*(o*(o**(2\/9)\/o)\/o)\/o)*o**(6\/11)*o*o**(-20) assuming o is positive.\nAnswer: o**(-3401\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 28 = 12*u, 96*u - 97*u = 4*f - 44 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-7)\/q**(1\/14)*(q*q**(-5))\/(q\/(q\/((q*q**(-3\/8)\/q*q)\/q)*q)))\/((q\/q**2)**7\/(q**2)**(-2\/19)) assuming q is positive.\nAnswer: q**(-3093\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 18921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, o: 2, y: 2, n: 1, k: 1}. Give prob of sequence oyk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**3\/5 + 9314*q**2\/5 + 121638*q + 9999198\/5.\nAnswer: 2*(q + 33)**2*(q + 4591)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.6, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) + 3*sqrt(121))*5)\/(sqrt(99)\/(sqrt(9)*-4)).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, n: 2, i: 5}. Give prob of picking 3 i and 1 d.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 357 divided by -1\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 48120 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 106 divide 1133246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 + (-6 - (6 + -13 + 0)) + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -41 + 23. Let t be a\/(-8) + 2\/(-8). Suppose t*k = -2 + 8. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 3*j**5 - 7*j**4 - 8*j**3. Let v(z) = -5*z**5 + 15*z**4 + 15*z**3. Let g(o) = 2*v(o) + 5*y(o). Let g(x) = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -5*h, 3*h + h - 60 = -5*c. Suppose -c*s = -2*s - 1410. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 307.590764 and 13066.\nAnswer: 13373.590764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**3 + 28*f**2 - 84*f - 108.\nAnswer: 4*(f - 3)*(f + 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 87 + -144. Let y = -903 - -903. Which is the closest to -3\/7? (a) w (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*w**2 + 3*w**2 + 2*w**2)*(-w + 0*w - 4*w + w**2) to the form u*w**3 + r + y*w**4 + j*w**2 + m*w and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1062109103 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -796578 less than -4?\nAnswer: 796574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 4*r = -5*h + 124, h + r = 21. Let y = 1 + h. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44181*b**2 - 1 + 43024*b**2 + 2*b - 4.\nAnswer: -1157*b**2 + 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -353 * -0.1\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/26? (a) -1 (b) 5\/2 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 3*a + 26 = 0, 0 = g + 2*g + 3*a + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5408, 43158, 145612, 345122, 674040?\n\"Answer: 5392*l**3 + 6*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/4*(8\/20)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 0. Suppose -i = -6 + 4. Suppose -i*v - v + 27 = c. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of z**7\/315 + 11*z**5\/120 - z**4\/6 - 3*z**2. Let h(u) be the second derivative of d(u). Differentiate h(g) wrt g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/(r*r\/(r*r*r**(-15)))*((r*r**(-8\/7))\/r)\/r assuming r is positive.\nAnswer: r**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.436 + 0.336. Which is the second smallest value? (a) -1 (b) o (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -111\/27118 and -67\/507598.\nAnswer: 75632102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -10*k + 28. Let w be o(3). What is the remainder when (-1)\/(-2)*-358*(w - -1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 14851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*g + 1554*g**3 - 3*g + 0*g + 122 + 178 + g wrt g.\nAnswer: 9324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 35 = -10*p. Let q be (-7 - 8 - 13)\/(-4). What is the greatest common factor of q and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 24 in 21, -0.4, 0.3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 0.39, -4794, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 11611465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o**5 - 19*o**4 + 118*o**3 + 538*o**2 - 1605*o - 5175 = 0. What is o?\nAnswer: -23, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 6*d**2. Suppose 5*x + 2*c + 2*c - 9 = 0, 9 = x - c. Let j(b) = -288 + 288 + x*b. Calculate j(p(g)).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2639993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*(h*(h**(-8\/5)\/h)\/h*h)\/h*h))\/h*h*h*h*h**(-4\/7)*h)\/(h*h*h**22*h*h*h**(-14)) assuming h is positive.\nAnswer: h**(-279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -n + 3*r, 3*n - 2*n = r + 4. Let v = -9 + n. Suppose 4*l - a - 1 - 54 = v, -35 = -2*l + 3*a. What is the remainder when 37 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u + 3*u - 5. Suppose 74 = u*q - 61. Let o(r) = r**3 + 2*r**2 - 4*r. Let x be o(-3). Calculate the greatest common factor of x and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 281720287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**2 + 5*h. Let b be t(-5). Let o = b + 4. Let x be 0\/o + 2\/1. What is the greatest common factor of 16 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 538560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 570275 to the power of 1\/2, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5.95 - -0.05. Let h = 91.37 - 92. Let m = h - -0.53. Which is the nearest to m? (a) y (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -73 - -34?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 18633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2. Let h = -4 - -6. Suppose -q - h = -5. Suppose 6*y + 5 = q*y + s, -3*s = 5*y + 13. Let r(w) = -w**2 + 9. Calculate y*r(o) + 9*m(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 0 (d) 7 (e) 2 (f) -3.536\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 - (2 + -2) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.1611 + -0.8389. Which is the smallest value? (a) 0.4 (b) 2 (c) j (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 8:47 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21183047?\nAnswer: 43, 492629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h - h**3 - 5 + 3*h - 3*h**2 + 5. What is s(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 56, 87, 140, 215?\n\"Answer: 11*m**2 - 2*m + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001 - 1101110111111?\nAnswer: -1101110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8263 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/87 (c) 1\/10 (d) 9.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28131*r**2 + 39 - 20 - 8923*r**2 - 19.\nAnswer: -37054*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 304026, 608051, 912092, 1216161, 1520270, 1824431, 2128656?\nAnswer: 2432957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand k**2 + 0*k**2 + 4*k**2 + (-29 - 1 - 44)*(-k**2 - 3*k**2 + 3*k**2) - 3*k**2 + 2*k**2 + 0*k**2.\nAnswer: 78*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.052 * -22.72149.\nAnswer: -1.18151748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-26))\/(98\/49)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16638 and 155288?\nAnswer: 465864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 4*u - p, -5*u = 4*p + 4 + 1. Let j(s) = -s**2. Calculate j(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-4)*132\/(-5940)*-1035.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -7 - -15 - (-775 - -3). Calculate the highest common divisor of 45 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u - 5*u + u + (-1 - 2 + 5)*(-5*u - u + 4*u) - 70859 + 135855 - 67739 + u.\nAnswer: -5*u - 2743","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k**2 + 17*k + 99. What is the remainder when 329 is divided by z(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (-5 + -3 - (-2 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1267859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**42\/(n*n*n*n*n**(-28)*n) assuming n is positive.\nAnswer: n**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/967431355, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -33. Let b(z) = -2*z + 52. Let i(f) = 9*b(f) + 14*s(f). Let k(u) = -u + 1. Determine 2*i(m) - 14*k(m).\nAnswer: -22*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/5 + -24*(-246)\/1680?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 601562410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 39 = -21. Solve 4*j - m + 0 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 83*w**3 - 110*w**2 - 2 wrt w?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 228851 * -0.0628.\nAnswer: -14371.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -6271?\nAnswer: 626c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -259 + 259 - 5*u**3 - 39*u**3.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5043*c - 59 + 2528*c + 2555*c to the form q*c + x and give x.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2736634*j**5 + 6*j**2 + 2*j - 3974?\nAnswer: -164198040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 - 10*o**2 + 13*o + 19. Let u be l(-11). Let t(g) = 3*g**2 + 4*g + 4. Let m(w) = 2*w**2 + 0 - 4*w**2 - 3*w - 3. Determine u*t(n) - 4*m(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of h**3 + 0*h**4 + 0 + 0*h**5 + h**2 + 0*h - 2\/105*h**7 + 0*h**6. What is the first derivative of i(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of j**5\/10 + 103*j**2\/2 - 26. Let z(s) be the second derivative of m(s). Let i(f) = 31*f**2. What is z(i(n))?\nAnswer: 5766*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 + x**2)*(2 - x - 2)*(-192074*x + 94732*x + 94920*x) as o*x**2 + a*x + p*x**3 + k*x**4 + b and give k.\nAnswer: 2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 + 15. Let s = z + -6. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*y, -2*v = -6*v + 5*y - 75. Let l be 6\/15 + (-219)\/v. Suppose d + d + 6 = 0, -12 = -3*n - d. Solve n*c = 5 + l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 22166848 and 3404.\nAnswer: 22166848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 146 = 7*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (-2 + 4 - 6) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 48611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -196 + 264. What is the highest common factor of p and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 487597 is divided by 291.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**3 + 11*w**2 - 15*w + 9. Let f be n(-11). Find the common denominator of 3683\/f - (-4)\/(1 - 0) and 29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -4*x**3\/13 + 29142*x**2\/13 - 1311522*x + 8517608\/13 = 0?\nAnswer: 1\/2, 641, 6644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = 9*n + 366, -m - 18*n + 20*n + 87 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5766554793 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sys when three letters picked without replacement from aasmazaaaysy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 21 - 15. Let l(g) = -2*g - 6*g + 13*g + w*g. Let f(o) = 2*o. Give l(f(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**7\/(((u\/u**3)\/u*u)\/u))\/(u**(1\/5))**(-1\/29))**8 assuming u is positive.\nAnswer: u**(11608\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -2 + z + 0 - 2. Let p = -11 + 19. Let a be t(p). Solve y + 0 = -a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10887 + 11466 = y + 10*w, w = 7*y + 65 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4 + 33*(6 - (-3)\/3). Let c = 228 - g. Let b(h) = 5*h**2 - h. Determine b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -23 - -74. Suppose y = 2*w + w. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 4*a + 8 = 0. Let g be (-4 + 5)\/(a\/(-30)). Factor g*h**5 - 11*h**5 - 4*h**3 - 2*h**2 + 6*h**2 - 4*h**4.\nAnswer: 4*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 290 and 702?\nAnswer: 101790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 295829 is divided by 64.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the third derivative of n**3\/6 - 12*n**2. Let d(g) = -g + 5. Let c(b) = -b**3 - b**2 + 1. Let z be c(1). Calculate z*d(u) + 3*o(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = r + r. Suppose 2 + 6 = c. Solve -r*q - 24 = -w - 4*w, 2*q + 3*w - c = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010 - -10110000?\nAnswer: 11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 PM and 9:14 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -16, 10, 840, -5, 2, 3.\nAnswer: -16, -5, 2, 3, 5, 10, 840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttrsrikkktkkkkkktsk. Give prob of sequence ir.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 9*j**2 + 61*j - 9. Let l be f(-7). Suppose 0 = -2*c + 4*b + 10, -l*c + 7*b = 3*b - 43. Calculate the highest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 234585000 to the nearest 1000000.\nAnswer: 235000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -1156*i**4 + 3160*i**4 - 733*i**4 + (-2*i + 2*i + 2*i**2)*(2*i**2 + 4*i**2 - 4*i**2) + (4*i**3 + 3*i**3 - 6*i**3)*(i - 2 + 2).\nAnswer: 1276*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 363 = -4*z + 2*b + 2089, 25 = -5*b. Calculate the highest common divisor of 117 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 61 - 53 - (-5 + 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*4*-6*((sqrt(76) + (sqrt(76)*-5 - sqrt(76)))**2 + sqrt(1900)*-1) + 2 + -4.\nAnswer: -480*sqrt(19) + 91198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - x = -17, 0 = -3*r + x - 45 + 60 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -147 + 148. Let q(h) = 25*h + 1. Let f be q(p). Suppose 6 + f = 8*c. Solve 0 = c*a - 3*x + 28, a - 2*x + 6 + 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 132 and 680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r - 10 + 20. Suppose r*q = 9*q - 128. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 + w - 1. Let n(q) = -34*q**2 + q - 9. Let s(u) = 35*u**2 + 10. Let a(f) = 4*n(f) + 5*s(f). Let z(y) = a(y) + 5*r(y). Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes before 12:46 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-28)\/(-8) + -2)\/(198\/24816) is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2 - 0.3. Let w = -17063.7 - -17063.60000075. Let k = w - q. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 40.56?\nAnswer: 40.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -2, 11, 0.06, 2, 309?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.7, -162\/49, -2, -4, -2\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 - 150*h**2 + 2498*h - 1173. Give l(131).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 205, 218, 229, 238, 245, 250?\n\"Answer: -o**2 + 16*o + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 436? (a) -1214 (b) 2\/9 (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000034996843 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107 - 305. Let q = y + 206.9. Let g = q - 9. Which is the third biggest value? (a) 1 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -49.3 + 53.3. Suppose 212 = 7*v + 23. Let l be (8\/54)\/(18\/v). What is the closest to 1 in l, -0.3, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (45\/(-5) - -6)\/(-3). Let f(y) = 388*y**3 - 2*y**2 + y + 2. What is the units digit of f(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-9))\/(287\/17220).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 + 0. Suppose 18 = 4*x + p. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 13*a = 11*a - 42 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - 1775\/(-300))*9\/6*-13?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffffttffffftfffftf. What is prob of picking 2 f?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1224*0.19.\nAnswer: -0.023256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 105.3? (a) 4 (b) -2 (c) 0 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 9:04 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {t: 4, i: 1, c: 1, d: 1, q: 3, s: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 936330433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u**2 + 2 - 2)*(-4*u - 5*u + 4*u + (3 - 3 + 3)*(3*u + 0*u - u)).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = 10*q - 4*y + 48, 3*q = 2*y - 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 3*t - 60 = 0, -2*k + 7*k = -6*t + 18 - 138 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -7 + 9126\/507 - -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 178\/(-1224) - (-6)\/51. Suppose -2 = -5*u + u - 2*i, -1 = u + 2*i. Do u and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1151 + 242 + 3*t**2 + 279 + 630.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 11:20 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 165 = -5*v + 60*k, 0 = 4*v + 8674*k - 8677*k - 48 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 348 divide 378276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 47316 and 179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 11:05 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 60188, 1, 7.\nAnswer: 1, 7, 60188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 30 = -2*v, 4*n - 4 = -0*n. Let m be 252\/(-66)*v\/(-3). Which is greater: 21 or m?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 12*s + 196. What is the tens digit of b(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**3 + 20*n**2 + 16*n.\nAnswer: 4*n*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1720 < -13749\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m**5\/19 + 940*m**4\/19 + 19094*m**3\/19 + 106012*m**2\/19 + 20144*m\/19 - 632192\/19 = 0.\nAnswer: -449, -11, -8, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 543564 divided by 60396.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -4943314 divided by 25481?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/3)\/(u**31\/u))\/((u\/((u\/u**8)\/u))\/u*u**(-9)))**(-9\/2) assuming u is positive.\nAnswer: u**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25, 137, 439, 1027, 1997?\nAnswer: 3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -129? (a) 0.016 (b) 0.4 (c) 4\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 PM and 6:47 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*b*c**3*j**2 + 6*b*c**2*j - 2*b*c*j**2 + 4*b*j + 3*c**4*j - 4*c**3*j**2 wrt c.\nAnswer: 12*b*j**2 + 72*c*j - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -120, -459, -1020, -1803, -2808?\n\"Answer: -111*s**2 - 6*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -90, -89, -102, -135, -194, -285, -414, -587?\n\"Answer: -d**3 - d**2 + 11*d - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 451, 460, 479, 514, 571, 656?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*l**3 + 20*l**3 - 56*l + 102*l - 46*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 - 4*w - 2. Let h be u(6). Solve -4*a + 2 = -h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**7*d*d*d*d**7)\/(d**0)**(2\/11))**(4\/11) assuming d is positive.\nAnswer: d**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24645 - 15*m**2 + 6933 + 16*m**2.\nAnswer: m**2 + 31578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 186*y**5 + 13217*y**3 + 20161302*y**2?\nAnswer: 11160*y**2 + 79302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -127.05 - -126.65. What is the second biggest value in b, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1604489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -7824 plus -0.4?\nAnswer: -7824.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 73 + -7. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2 + -0.7. Let r = h + -12.5. Let w = r + 8. Which is the closest to -2\/7? (a) 2 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 divided by 9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, y: 4}. What is prob of sequence vyv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 15*v + 987. What is the tens digit of b(40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 - 10*y**2 + 18*y - 9. Let n be h(9). Let z = -40 + n. Calculate the highest common divisor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 3*f + 3. Let j be y(-2). Let i be (-34)\/(-6) - j\/9. Suppose -2*l + 5*p - 3*p = -4, -3*l + p = -8. What is the greatest common divisor of l and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4460, -8879, -13298, -17717, -22136?\nAnswer: -26555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the first derivative of 19*j**2 - 7 + 0 - 4*j - 1 - 1. What is the units digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j + 6. Let w be d(7). Let m(n) = n**2 - 25*n + 84. Let k be m(21). Which is the closest to k? (a) 0 (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, u: 2, f: 2, x: 2}. What is prob of picking 1 u, 2 b, and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -202, -936, -2170, -3910, -6162, -8932?\n\"Answer: -n**3 - 244*n**2 + 5*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = k + k - 412, 1240 = 3*x + 5*k. Suppose l = -4*l + x. Suppose -54*m + 35*m = -27*m + 176. What is the remainder when l is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 + 41536*x - 42444060.\nAnswer: -4*(x - 9235)*(x - 1149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -4*x + 6, -f - 57*x = -120*x + 59*x + 5 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the third derivative of g**6\/120 + g**5\/10 - g**4\/4 - g**3\/6 + 18*g**2. Let l be k(-4). What is the tens digit of l + (0 - 4) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.0894 - 0.1273. Let s = 0.3379 + h. Let f = -3 - -4. Sort 0, s, 3, f.\nAnswer: 0, s, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50 - 14 - -49 - (-6 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-833)\/1683*9 + 12\/(-22)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -56054 + 81714. List the prime factors of w.\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 3*v = 20. What is the smallest common multiple of v and (-1 + 22)\/((-24)\/(-16))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -6 - 6 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 2*h**3 - 17*h**2 + 47*h - 62. What is p(9)?\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21632 and 416?\nAnswer: 21632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 - 7. Let f be 16 + (2 - (v + 2)). Suppose -t + 6 = -7*h + 5*h, -4*h = -5*t + 24. Solve f = -4*r + t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -768 or 0.12725?\nAnswer: 0.12725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -323008*f**3*u**2 - f**3*u - 34593*u**2 - 42*u with respect to f.\nAnswer: -969024*f**2*u**2 - 3*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 21 = -3*l, v = -36*l + 32*l - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + -67 + (-201 - -241)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 554 is divided by 124.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p + 1. Suppose -4*d - 4*g + 96 = 0, -3*d + 32 + 48 = 5*g. Suppose 2*y + d = 6*y. Suppose y*h - 4 = h. Give t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*n**4 + 4*n**4 - 2*n**4)*(-3024 - 2370 - 3995 - 286 - 4564 - 1877) as h*n + g*n**4 + m + x*n**2 + p*n**3 and give g.\nAnswer: 16116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 2*x**2 + 13*x + 14. Let m = -355 - -372. What is the remainder when n(-8) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -18375397.4 greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 21*h - 318. Determine u(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -27*v**3 - 18*v**2 - 27*v - 12. Let q(b) = 7*b - 2. Let s be q(2). Let u(p) = -11*p**3 - 7*p**2 - 11*p - 5. Let w(f) = s*u(f) - 5*d(f). Factor w(g).\nAnswer: 3*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50122149 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 931 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + ((-25)\/20)\/1 - 4\/(-24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -y**3 + 333*y**2 - 36963*y + 1367631 = 0. Calculate y.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.68 - 4.78. Let a = 2 - 1.8. Let g = 0.19 - a. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 k when three letters picked without replacement from {k: 14, b: 1, u: 1}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2093 and -12 - (-4 + -321 - 9)?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -75*y**2. Let i(r) = 2*r. Let g(n) = -34*n. Let w(d) = -2*g(d) - 36*i(d). Calculate s(w(k)).\nAnswer: -1200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 + 8. Let v = 5 + h. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes after 9:30 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.6 + 0.1. Let c = 1.5 + q. Let a be (-9)\/234*4 - 36\/(-65). What is the closest to -1 in -1, c, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21302 (base 6) in base 3?\nAnswer: -11000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*f**2 + 68*f**2 + 43*f**2.\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 10 = 4*j - j, 0 = 3*v + 2*j - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (385\/14)\/((-1)\/2). Let l = i + 103. Calculate the greatest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 0)*(-9 + 34 + 28)*(-h**2 + 0*h**2 - h**2) - 5*h**2 - 3*h**2 + 5*h**2.\nAnswer: -215*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -360 = -10*k + f - 232, -12*k - 2*f + 160 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 779*h**4 - 447*h.\nAnswer: 9348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**4\/7 + 21332*c**3\/7 - 149438*c**2\/7 - 170768*c\/7 = 0.\nAnswer: -10673, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2392 and 368?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l + 19. What is x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5052.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1505 + 1530. Which is greater: 185\/7 or h?\nAnswer: 185\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 2*c - 5*n = 0, 5*n - 25 = 0. Suppose -111 = 5*m + x - 4*x, 39 = -m - c*x. Let k = -18 - m. Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 41 + 32*w**4 - 2*w - 51*w**4 - w**3 - 39 + (-1 + 2 + 0)*(2*w**4 + 4 - 4) - 3*w**4 + 4*w**4 - 2*w**4 to r*w**2 + z + b*w + g*w**4 + o*w**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1, -2, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 78 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.801 + -0.599. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 AM and 7:42 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9198941338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w**3\/7 + 33*w**2\/7 - 3*w\/7 - 33\/7 = 0 for w.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3)\/r)**(34\/5)\/(r*r**(-9)*r*r*r**3) assuming r is positive.\nAnswer: r**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 69883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = 5*c + 8, 3*c + 24 = 408*w - 411*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 383634 a multiple of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -418.7 + -202. Round n to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 3*m - 9 = 0, 0*y - 9 = 5*y + 3*m. Solve y*a - 4*a - 2*n + 4 = 0, 4*a + 5*n = 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.21 - 1246021.\nAnswer: -1246021.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.3 and -364?\nAnswer: 363.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(q*q**(5\/3)*q))\/q**9)**(2\/169) assuming q is positive.\nAnswer: q**(-64\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 2*j + r = 7615, -4*j = -r - 6101. List the prime factors of j.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.3796435 months in years?\nAnswer: 0.198303625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-9*(-2)\/(-27))\/((-2)\/12). Solve 8\/7*r + 242\/7*r**b + 0 - 80\/7*r**2 + 22*r**3 = 0.\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i and 1 c when four letters picked without replacement from icccpccpycciii.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(704) + sqrt(704) + -1.\nAnswer: -4 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 41633330797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 829284699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/4403107 and -7\/2?\nAnswer: 8806214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 4*r**2 - 5*r + 7. Let m be s(-5). Let p be 24\/m + (-45)\/15. Let n = -0.05 + 0.35. Which is the nearest to -2\/5? (a) -0.5 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 1 - 3)*(-11*l - 5*l + 14*l - 3) to the form g*l + f and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 + 5*u**2. Let j be n(3). Let x be (j\/81)\/(4\/(-6)). Which is the smallest value? (a) 0 (b) x (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 57 = 15*d. Suppose 2*x = r + 6, 0 = -2*r + 3*r + 4. Sort x, 2, d in increasing order.\nAnswer: x, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 + h - 8. Suppose 3*t + t - 3*j + 82 = 0, 0 = 4*t - 4*j + 80. Let n = t + 16. Is q(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(75) + (sqrt(75) - (-2 + sqrt(75)*-1)))**2.\nAnswer: 120*sqrt(3) + 1358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of r**5\/2 - r**4\/6 + 2*r**3\/3 - 8*r**2 - r. Let y(j) = 3*j**3 - j**2 + j - 5. Let b(g) = 2*l(g) - 7*y(g). Give b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-24)\/(-110) - 62\/155. Let y = 2 - 2. What is the second biggest value in y, -1, u, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 8248?\nAnswer: -8251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -963, -5, 5, 4, -21, -10 in increasing order.\nAnswer: -963, -21, -10, -5, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1\/5 (b) 2 (c) 4 (d) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6.69 (b) 39\/8 (c) -5 (d) -0.23 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 8*q**2 - 4*q - 7. Is w(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -1631504 (base 7) to base 12\nAnswer: -aab52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + (-1*sqrt(1053) + sqrt(1053) + -1)*2)*2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 362 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 3*q - 3. Suppose b - 5*b = 52. Let y(d) = -d**3 - 13*d**2 + 5. Let v be y(b). Calculate the least common multiple of i(v) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 5)*(-x**4 + 2*x**4 - 2*x**4 - 4*x**4 + 0*x**4 + 2*x**4 + (0*x + 2*x - 4*x)*(2*x**3 + 0*x**3 - x**3) + 5*x**4 - 3*x**4 - x**4).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1659877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10\/25 - ((-393)\/5 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 6, 8, 4 in decreasing order.\nAnswer: 8, 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w - 29 = 97. Let m be (-1)\/(-35)*-74 - (12 - w). Are m and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 512*p**2 - 317*p - 438458 wrt p.\nAnswer: 1024*p - 317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 41881630 and 17840?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -165*a - 10651 + 11555 = 61*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3432 and 12957516.\nAnswer: 25915032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6337366151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {p: 1, k: 2, o: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (200\/(-1400))\/(1\/(-2)*-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3707991 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/13, -2\/153, 6, -1, 2\/7.\nAnswer: -1, -2\/153, 2\/7, 4\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2787 minus -0.08?\nAnswer: 1.3587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-6)\/5)\/((-9)\/45). Suppose -1 = 2*g + 5*z, r = -2*g - 2*z + 2. Which is the nearest to -0.1? (a) -1\/2 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: List the prime factors of 432871.\nAnswer: 17, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*x - 367*x**2 - 5*x + 1044*x**2 + 2758*x**2 + 996*x**2 to c*x + m*x**2 + v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4\/3 + 3*a**3 - 3*a**2 - 27*a + 54.\nAnswer: -(a - 6)*(a - 3)**2*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1)*z\/z**3)**(-50)\/(((z**(1\/4)*z)\/z)\/((((z\/(z\/(z\/(z\/(z\/(z\/(z*z\/z**(2\/17))))))))\/z)\/z*z*z)\/z))**38 assuming z is positive.\nAnswer: z**(5917\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -2*f - 42, 0*f + 5*o - 39 = 4*f. Let a = f + 11. Sort 0.1, -2, a in decreasing order.\nAnswer: 0.1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the third derivative of -l**4\/24 - l**3\/2 + l**2. Let c be h(-3). Let v = 31 + -26. Sort 3, v, c.\nAnswer: c, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 126 - 755 = -5*q, -5*i + 1483 = q. 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: In base 8, what is 0 + 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 35240 - 25812. Does 43 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 42 + 45 = 2*x, x - 2*h = -6. Let j(y) be the third derivative of 1\/15*y**5 + 9*y**2 + x*y + 0 + 0*y**3 + 1\/6*y**4. What is m in j(m) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 22 = -4*g. Suppose 20 = 5*r + 5*u, -4*u - 42 + 13 = -r. Sort g, -3, r in increasing order.\nAnswer: -3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/33 and 2\/123?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 89 + -20. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279\/(-6820) + (-11)\/(-121)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 8509410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(-1)\/(80\/(-50)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*g**3 - 2*g**3 + 0*g**3 + (-4*g + 0*g + g)*(-222 - 85*g**2 + 222).\nAnswer: 257*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77578 is divided by 1901.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be 60\/2*(-32)\/(-20). Let v = -33 + w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2177367.\nAnswer: 3, 725789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11063.\nAnswer: 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*l = -50*l - 240. Let w be (4\/3)\/(40\/l). Solve -d - w = -3, d = 5*z + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 13, -37, -5, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*h - 2*x + 6, 0 = 5*h - 2*x + 7*x - 30 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1.1 + 1996\nAnswer: 1997.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -99, -190, -275, -354, -427?\n\"Answer: 3*k**2 - 100*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 138 and 570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 49\/339097 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((sqrt(2) + -1 + sqrt(2))*3 - (1 + 1 + sqrt(2))))**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12673\/77 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/60534 and 26\/27.\nAnswer: 60534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16.6 + 17. Put 1, d, 2\/11 in increasing order.\nAnswer: 2\/11, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0149479256 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of k**3 - 13648015*k**2*p - 35580*k*p - 2*k - 169 wrt k?\nAnswer: 6*k - 27296030*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together 3 and -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -4*y + 29. Let h(f) = f - 2. Calculate -3*h(i) - w(i).\nAnswer: i - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 983.7468 nanometers?\nAnswer: 0.0000000009837468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -220*h + 63. Is v(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 139832 or 139830?\nAnswer: 139832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -266 + 103. Let a = -65 - u. Calculate the greatest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 7*w + 155 = -3*w, -3*w + 6 = 0. Calculate the highest common factor of y and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 20.02 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 1 + 31 = 0. Let q be (-9)\/6*r\/(-3). Suppose q*i - 17 - 28 = 0. Calculate the lowest common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2 - q**2 + (-24 - 5 + 15)*(-q - 3*q + 5*q)*(-2*q + 4*q + 5*q) as i*q + b + w*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -69*n**3 - n**2 + 5*n + 10. Let p be f(-3). Suppose 5*s + u + 2*u - p = 0, -2 = u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22613, -43803, -65013, -86249, -107517?\nAnswer: -128823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(120)*-3*2)\/(sqrt(18)\/(4*-1*sqrt(3))).\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) 16.2 (c) 1 (d) -0.0348 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1.78, -0.4, -2, -4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 + -1. Suppose 173 = 5*q + 3*u, -2*u = -3*q + o*u + 98. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 3689779\nAnswer: 1844889.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 14 = -f, -4*f - 3*z = f - 35. Let v be f\/28 + (-45)\/(-21). Determine u so that v*u**3 + 18\/7*u**4 - 18\/7*u**2 + 0 + 4\/7*u - 20\/7*u**5 = 0.\nAnswer: -1, 0, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the first derivative of x**4\/10 - 22*x**3\/15 + 18*x**2\/5 - 274. Factor s(w).\nAnswer: 2*w*(w - 9)*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -2*i**3 - 2819638*i**2\/7 - 18931196*i\/7 + 805584 = 0.\nAnswer: -201396, -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -11*l**2. Let x(n) = 28*n**2. Determine b(x(c)).\nAnswer: -8624*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 384937686.\nAnswer: 2, 3, 7, 1597, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*p - 40*p = -168. Let f = -51 - p. Solve -f*d - 3 = 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -69667728 by 4354233.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**2. Let o(f) = 2 - 30*f**2 - 5 + 3 + 0. What is o(a) + 20*z(a)?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and -106.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of 7*o**3\/3 - 23*o**2\/2 + o - 249. What is the remainder when 57 is divided by k(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -429\/20 smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 470*f**2 - 239*f + 1458. List the prime factors of r(6).\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i - 254 - 31. Let h be 0\/(-2) - 38\/i. Let k = -7.3 + 7.8. What is the nearest to h in 7, k, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -4*b**2 + 1. Let y(c) = -1. Let u(z) = 1. Let j(p) = 2*u(p) + 3*y(p). Let s(r) = -6*j(r) - o(r). Differentiate s(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12*1\/(-12)*(-2)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 267213200 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -3.55 (c) -0.4 (d) 0.03 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -3*b**3 + 15*b**2 - 10*b + 9. Let q(y) = y**3 - 5*y**2 + 3*y - 3. Let k(s) = -7*q(s) - 2*x(s). Calculate the remainder when k(4) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5497 and 3097679?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, j: 1, z: 1, m: 1, q: 2, s: 2}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 38630 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 l, 1 a, and 1 u when four letters picked without replacement from aalnkkklnkukllk?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p*p**(-22))\/p))\/(p\/((p\/(((p*p**8\/p*p)\/p)\/p))\/p)) assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 499465310 * 4\nAnswer: 1997861240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s**2 + 4*s**2 + s**2)*(2 - 5 + 0)*(60 + 7 + 7)*(-1 + 1 + 2).\nAnswer: -888*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2256800 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5947, -5951, -5955?\nAnswer: -5959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*n = -11*n - 5*a + 10, -15 = -2*n - 5*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -67 - -61. Suppose -2*z + 16 = 6. Let p(o) = 2*o + 9 + 0 - z. Determine p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1984 + -115)\/(-1 + 2). What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l - 21*l**2 - 27*l**2 + 105411 - 105411 to m + o*l + f*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4215671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2312460424 at most 2312460423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/1749 + 83911\/71709. What is the common denominator of 97\/14 and v?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 2951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -269260 by -53852.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-14 - 11 - (-14 + 9) - -46).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 4, -84, 5 in ascending order.\nAnswer: -84, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1402*k - 302*k - 1870 + 2049 = -3121 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/6*-2*12\/(-16). Let x(c) = 4*c + 1. Let p(a) = -a. Calculate w*x(q) - 2*p(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 72748, 290899, 654472, 1163467, 1817884?\n\"Answer: 72711*f**2 + 18*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**2 - 16*a - 14. Suppose r + 2*z - 3*z + 12 = 0, -r = 2*z + 12. Is g(r) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/9 - 1397\/9. Let i = -151 - f. Suppose i*z - 75 = -12*o + 7*o, -5*o + 75 = -z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -3*k - 8. Let h(y) = -y**3 - 5*y**2 + 9*y + 2. Let z be h(k). Let f = -10 - z. Solve 0 = -5*m + 19 + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9431.29 - 9431. Sort i, -29, 0.1.\nAnswer: -29, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 + 22*q - 112. Let j be o(9). Which is the third smallest value? (a) 0.1 (b) j (c) -1\/49 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 403, 804, 1205?\n\"Answer: 401*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -487 (base 9) to base 6\nAnswer: -1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/5 - (1 + 456856\/(-20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -2222011011101 (base 3) to base 7\nAnswer: -16260430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 3*q - 2*q**2 - 3*q. Let k(o) = -2*o + 3. Let l(c) = 3 + 4 - c - 1 - 7. Let d(y) = k(y) + 3*l(y). Determine d(b(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 88\/(-24) + 3 - (-3851)\/3. Suppose 3*h + 4*r + r - 926 = 0, 4*h - 3*r - c = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - 0) + (339 - 314)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2157?\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.4, 3, 2, 1\/2, 367?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -80206 (base 13) to base 11\nAnswer: -146a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {m: 1, h: 3, f: 2, g: 7, o: 3, r: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*l**3 + 0*l**3 + 2*l**3)*(6 + 2 + 4)*(4 - 16 - 7) to o + f*l**3 + u*l**2 + b*l and give f.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 - (3 - 1*(7 - 2)). Let p(d) = 3 + 2*d + 3*d - d**3 + r*d**2 + 4*d - 8. Let q(n) = n + 6. Let k be q(0). Calculate p(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, 11, -443 in ascending order.\nAnswer: -443, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4 + -2)*1\/4. Let r be 4\/(-3) + (1 - -1). Let z(a) = a**3 + 3*a**2 - 9*a + 4. Let y be z(-5). What is the closest to -0.2 in r, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ewww when four letters picked without replacement from lwlwwlwlele.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -720, -728, -742, -762, -788?\n\"Answer: -3*f**2 + f - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 35235531 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 14 = h - 5*g, 5*h = 2*g + 2. Suppose 0 = h*x - 5 - 1. Let l be (-2 + 2 - -1) + 2. Solve 0 = n - 2*n + x*z, l*z = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.68812526568262 and -15?\nAnswer: 15.68812526568262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v + 136. Let o(k) = -8*k. Calculate o(j(f)).\nAnswer: 8*f - 1088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 3.1. Let m = v - 0.1. Let x = 1.4 + -1.2. Put 10\/9, m, x in descending order.\nAnswer: 10\/9, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(110) - (sqrt(110)*-2 - sqrt(110))) + sqrt(110))\/(sqrt(80)\/(sqrt(48)\/sqrt(6))).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -3*o + 4*o. Suppose -3*f + 0 + 1 = l, 3*f = 2*l - o. Let a(j) = j**2 - 5*j - 1. What is a(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1195.9 rounded to the nearest 10?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -30.8 + 28. Let x = -4690.2 + 4692. Let v = x + l. What is the biggest value in -0.4, v, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 4*z**3 + 8*z**2 + 3*z + 3. Let n(p) = -7*p**3 - 17*p**2 - 5*p - 5. Give -5*k(c) - 3*n(c).\nAnswer: c**3 + 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49198*0.4.\nAnswer: 19679.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 766 * -0.09\nAnswer: -68.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 499 + -245. Let b = 227.7 - d. What is b rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51.4742mg in nanograms?\nAnswer: 51474200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 145 = 2*b, 7*y - 8*y - 3*b = -42. Solve y + 6 = -11*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -19009320 by 3.\nAnswer: -6336440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 36403 or 36661?\nAnswer: 36403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2 - 2*c**2 + 4411*c**3 + 13 - 22*c**2 + 58*c**2 - 61*c**2 wrt c.\nAnswer: 26466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = 155 - 399 + 144 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + f**2 + 2)*(-f**2 + 2 - 2 - 2*f**2 - f**2 + f**2 - 4*f**2 + 3*f**2 + 0*f**2 + (3 - 3 + 2*f)*(f + 0 + 0)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 7 = -i. Suppose 5*l = 5*k - 34774220, -i*k - 5*l + 2*l + 13909683 = 0. Let a = k + 2705157. What is a rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 158454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {v: 1, g: 6, k: 1, r: 4, h: 8}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 + -8b5b?\nAnswer: -8b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lvi when three letters picked without replacement from elvvvvlievevveeivivv.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170667798 is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4 and (4560\/25 - -4) + (-20)\/50?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 > 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (165\/22 + -8)*22. What is the third biggest value in t, 0.1, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 + 1503039?\nAnswer: 1503039.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 20, 3*n + 24 = 5*n + 5*g. Solve 3*y = 4*i + 4*y - 18, -i + 3*y = n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 180 - 101. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1017494 or 1017495?\nAnswer: 1017494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 693560 and 560.\nAnswer: 1387120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/5, -13, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 22402 divided by -36\nAnswer: -11201\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4111 = -14*m + 1489. Let w(a) = 3*a + 0 - m*a**2 + 393*a**2 + a**3 - 9. Give w(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -63, 3, -11 in ascending order.\nAnswer: -63, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -6*n - 1. Let k(h) = 5*h + 3. Let z(w) = 2*c(w) + 3*k(w). Let y be z(-3). What is the second smallest value in 0, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -3566?\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -37*m + 4459 - 463. What is the lowest common multiple of m and 126?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*z**2 + 316*z + 50*z**3 + 0*z**2 - 144*z + 3*z**2 wrt z.\nAnswer: 300*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 5 = -0, -4*b + t = -3. Sort 4, b, 0.02, -2\/9 in descending order.\nAnswer: 4, b, 0.02, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = -20*g + 28. Let k(s) be the first derivative of 2\/25*s**5 + 0*s + g + 1\/5*s**2 + 3\/10*s**4 + 2\/5*s**3. Solve k(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 97 - 97 + 177014*c**3 - 177022*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -213 + 204 + (-2 - 7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 0. Let k(p) = -p**2 + 2*p - 3. Let d be k(q). Let v = d + 36. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*r + 5*x - 30, -4*r - 5*x = 100. Is 16 a factor of 2\/(-5) + (-648)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-672)\/529200*75\/10.\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 349945.\nAnswer: 2\/349945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 7 + 1 - 85*r + 2 + 0 in the form n*r + o and give n.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 12 = 0, 4*f + 2*h - 6 = 4*h. Let o be (-3)\/((-81)\/18 - -3). Solve f = o*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1085 - 32*u - 1085)*(u**3 - 2*u**2 + 0*u**3 + 0*u**3)*(u - 5*u + 3*u).\nAnswer: 32*u**5 - 64*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.05, 30\/11, 2911?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrrrr. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -137\/428000 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 557915588 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -223, -264, -305, -346?\n\"Answer: -41*j - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 + 6*o**2 + 27*o + 5625. Determine s(0).\nAnswer: 5625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, -68\/9, 4, 0.3 in increasing order.\nAnswer: -68\/9, -1, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20762, 20713, 20614, 20435, 20146?\nAnswer: 19717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:00 AM and 4:50 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 2 = k. Suppose 4 = 3*h + 1. Let q = k - h. Solve p - 2 = 4*d - 3*d, q = 2*d + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 4 = 16. Let p be 0\/f + (-4)\/(-3). Let g = 23\/2 + -111\/10. Which is the smallest value? (a) g (b) 4\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -3. Let o = w - -4. What is the third smallest value in -0.3, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p**2 - 69 - 14*p**2 + 69.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2399.4822 and 0.1?\nAnswer: -239.94822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -47*a**3 + 18*a**2 + 14*a - 23. Calculate h(3).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(2\/3))\/w**(-2\/13)*(w*(w*w\/w**(-1\/3))\/w)**(-3) assuming w is positive.\nAnswer: w**(-202\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -7. Let z be (2\/(-3))\/(u\/(-6)). What is the units digit of z\/2*(-3 - 21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 5*l + 10 = 0, -2*k + 4*l - 5 = l. Calculate the lowest common multiple of 1\/2 + (-15 - 2625\/(-30)) and k.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 6*l. Let y(s) = s. Let k(p) = 5*y(p) - z(p). Let h(q) = 32*q**2. Give k(h(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**2 + 1 - 12*s**3 - s**2 + s**2 + 0. Let r be q(1). Which is greater: r or -14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/((-18)\/(648\/156)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 287 + -285. Factor -2\/7*q**4 + 4\/7*q**3 - 2\/7*q**t + 0*q + 0.\nAnswer: -2*q**2*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.8445254912 - -10572322811.1554745088. Let r = f + -10572322865.00000049. Let a = 52 + r. What is a rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 + p + 12. Let g be b(0). Let o be 58 - (-5)\/((-20)\/g). Let j = -36 + o. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5 - 5453*s**4 + 6*s - 5767*s**4 + 12469*s**4 wrt s.\nAnswer: 14988*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 72*x - 92 = 0, -6*l + 4*l - 31 + 27 = 4*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2851.473km to millimeters.\nAnswer: 2851473000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 4:53 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*o - 126834 = 69754. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 + 0 + -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 815 - 804. Let v = 24 - 12. Let b(l) = 2*l - 22. Let r be b(v). Solve 3*u = -k - 5, r*u = 5*k + 36 - h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.58 (c) 30\/7 (d) 0.3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13451 - 19237*y + 13451 - 4273*y - 5239*y)*(3*y - 3*y + 3*y).\nAnswer: -86247*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 7*g = 15. Solve -2*c - z = -6 + 7, g = -5*c - 2*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + 175\/75 + ((-14)\/6 - -2). Calculate the highest common factor of 212 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h + 8 = 0, -f + 5*f = 2*h + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 4*c - 2. Let a be r(1). Let b(h) = 1015*h + 9. Is b(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117906552?\nAnswer: 2, 3, 19, 79, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a40 - 1399?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15 + 3. Suppose -20 + k = f. Let h(q) = q**2 + 3*q + 1. What is h(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**25*w*w**(8\/5)*w assuming w is positive.\nAnswer: w**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - 717*o - 13919. Let i(t) = -t**3 + 8*t**2 + 11*t - 5. Calculate the remainder when g(-20) is divided by i(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*g = 13*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 11, i: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*k - 4*m = -5*k + 52, 21*k = -2*m + 4 - 353 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - -5. Let f be ((-6)\/10)\/(v\/(-75)). What is the units digit of (-192)\/10*(-30)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 4:34 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 40*x + 4. Let b(c) = 11*c - 1. What is r(b(d))?\nAnswer: 440*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 974, 1817, 2660, 3503, 4346?\n\"Answer: 843*m + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2843190 divided by 315910?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 628 = -60. Let z = -179 - r. Suppose 0 = 3*k - 18 - 3. What is the greatest common factor of k and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (14\/35)\/(-1 + 39\/(-15)). What is the nearest to -5 in -5\/3, n, 0.1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 271253 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > -94\/40233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -434, 4.\nAnswer: -434, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -y**2 + 2*y - 7 + 0*y + 2*y**3 - 55 - 3 - y**3 to the form p*y**3 + w*y**2 + o + z*y and give o.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 307*k**4 + 158*k wrt k.\nAnswer: 3684*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 4. Suppose 5*b = -u + 3, -3*u + 2 = 4*b - s. Suppose -12 - 6 = -u*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001100001010100001011110001 + 100?\nAnswer: 1001100001010100001011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 5)*(0 + 2 - 4)*(41*r**3 + 69*r**3 + 38*r**3).\nAnswer: 1480*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 4*z - 60. Let h be g(15). Suppose -7 = -k + 3*t - 2*t, k + 5*t - 13 = h. Solve -4*l - k = -3*y, -1 = -l + y - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 r(q) = -q**3 + 4*q**2 + 29. Let h be r(5). What is i in h*i**3 - 97 - 2*i**2 + 81 - 2*i**3 - 20*i = 0?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/6 - 1150\/3836*-10. Let x = -951\/3836 + s. Which is smaller: 1\/24 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the second derivative of b**3\/6 + 122*b + 2. Let y(c) be the second derivative of 4*c**3\/3 - c. Determine k(y(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(4\/41)*z)\/z**(3\/13))\/(z**(3\/5)*z*z\/(z*z*z*z\/(z\/(z*z\/(z**(-2\/157)*z)*z))*z*z*z)) assuming z is positive.\nAnswer: z**(2627387\/418405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -889.049 to the nearest 10.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 613214725 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.08 or -18.7?\nAnswer: -18.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**2 + 23*a + 21. Let y be k(-12). What is the remainder when 2\/4 + (-2)\/(12\/y) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 706*o - 713*o = 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-46)\/(-14) + (-2)\/7. Suppose -4*p + 180 = 60. Let f = p + -26. Solve -16 = z*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 PM and 7:07 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.76 - -3.765409. Round k to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 8 = k, 2*k + 3*k + 56 = 2*p. Let s = -9 - k. Suppose -3*u + s*n = -9, -u = -2*u + 2*n + 4. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from maammm. Give prob of picking 2 a and 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1043 times -101.16\nAnswer: -105509.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 9 (base 13) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*o + 388 - 234. Solve 10*s = o*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 46\/16 - (2 + 1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19736 + -19733. Put c, 1, 52.53 in decreasing order.\nAnswer: 52.53, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/(-56*(-113)\/12656).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7630*f**2*s**2 - 29798*f**2*s + 294512*s**2 + 812*s wrt f.\nAnswer: -15260*f*s**2 - 59596*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*y - 892 = -6457. Let r be 15\/y + (-4)\/(-14). Find d, given that 6\/7 - r*d - 1\/7*d**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 2*g + 5*g**2 - 14 - 3*g + 5*g + g. Does 7 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.27 + 0.47. Which is the third biggest value? (a) -2 (b) q (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 241 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 12*y**3 + 12*y - 9. Let w(j) = -j**3 - j + 1. Let a = -1634 + 1633. Calculate a*g(k) - 9*w(k).\nAnswer: -3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.18 + 0.179987. Round n to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 462 and 3864.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 61300 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2429*b**3*h**2 - b**3*l - 4*b**3*x - b**3 + b**2 + 1791*b*h**2 + b*h*l*x + b*h*l - 27*b*h*x wrt b?\nAnswer: -14574*h**2 - 6*l - 24*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -10*w**2 - 6*w - 6. Let c(v) = -9*v**2 - 5*v - 5. Let z(d) = 6*c(d) - 5*u(d). Let r(p) = 17*p - 6*p - 7*p. Give z(r(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zozpzpzppz. Give prob of sequence oz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -207119*l**3 - 207178*l**3 + 414993*l**3.\nAnswer: 696*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -153 - 66 = 5*r - 4*k, 3*r - 3*k + 132 = 0. Let n = -40 - r. Which is the smallest value? (a) 1\/4 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -208 divided by 52?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 367760 (base 13) to base 15.\nAnswer: 1aab25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -10, 2, 15591, 6 in increasing order.\nAnswer: -12, -10, 2, 6, 15591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.0172, -4\/5, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 46905, 46891, 46877, 46863, 46849?\n\"Answer: -14*s + 46919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u + 4 + 12. Let t be 4\/(-2)*(1 - u). Suppose 0 = -a + t*a + 850. What is a rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -157, -320, -483?\n\"Answer: -163*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes after 6:08 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 68518 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 290532 a multiple of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 62857316 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f**2 + 5*f**2 - 3*f**2)*(2 - 5 + 2) - 51489*f - 34*f**2 + 25*f**2 + 51464*f.\nAnswer: -8*f**2 - 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 0.1 = 7979698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -744539, -2978163, -6700871, -11912663?\nAnswer: -18613539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {y: 3, n: 3, w: 2, p: 1, s: 2, t: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, -0.1, -5, -11, -73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 78, 159, 266, 411, 606, 863, 1194?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 469 = 4866 + 717. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2 + 2*l - 10. Let q(j) = -2*j - 75. Let x be q(-34). Give a(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(2\/3)\/p*p*p)**(-41)\/(((p**6*p)\/p*p)\/((p\/p**(1\/3)*p)\/p)) assuming p is positive.\nAnswer: p**(-347\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pmmuwlpplupmmuppwm. What is prob of sequence ul?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 r, and 2 u when four letters picked without replacement from uuururpweperw.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 2.2751192 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17952*x**4 - 3*x**2 - 4468*x wrt x?\nAnswer: -430848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 330 + -45130?\nAnswer: -44a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -b6a (base 14) in base 11?\nAnswer: -1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 31 and 6169.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x + 16. Let k be c(-10). Suppose 2*u + k = 4*u. Let r(s) = -s + u*s + s**2 + 0 + 8 + 6*s. Determine r(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -119*m**2 - 18*m - 129*m**2 + 130*m**2 + 8. Let z = 9 + -2. Let t be o(z). Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1, -4, -13, -28, -49, -76, -109?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 275*z = 280*z - 40 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 12 - 13)*(156*d**5 - 24*d**5 - 27*d**5).\nAnswer: -1995*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 + -1564)*(-2)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 36577 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -753.7 + 753.9. Which is the third biggest value? (a) -0.4 (b) 7 (c) 9 (d) 2\/5 (e) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(28) + 1*sqrt(28)) - (3 + sqrt(28) + -2))**2 - ((2 + sqrt(112))*-1 - (sqrt(112)*2 + -2 - sqrt(112))**2).\nAnswer: 32*sqrt(7) + 3507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -522493 - 0.92\nAnswer: -522493.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the third derivative of 2\/3*a**3 + 0 + 5\/12*a**5 - 1\/336*a**8 - 2\/3*a**4 + 1\/30*a**7 - 19\/120*a**6 + 2*a - 49*a**2. Solve u(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 604 and 87442892.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -185624, -185434, -185114, -184664, -184084, -183374?\nAnswer: -182534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 298032 divided by -25?\nAnswer: -298032\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -277 + 279. Solve p = l*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2 + 17*q + 1339. Let d be a(46). Let i = 12 + -11.9. What is the closest to i in d, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -191, -406, -631, -872, -1135, -1426?\n\"Answer: -b**3 + b**2 - 211*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - i = 2*o, -5*i - 18 = o. Let l = i - -8. Solve -2*u + 4 = 0, -l*m + 3*u - 2 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 2 + 82. Let s be (h\/21)\/(4\/(-6)). Let t = s + 19. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*l + 249*l - 3497 = -57*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 3 - 2*k + k**2 + 5 - 5*k. What is the remainder when 6 is divided by c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**2 - 2*x + 24. What is n(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**6\/(r**7\/r))\/(r**(-1))**(-12))\/(r\/(r*r**(-1\/4))*r**(-10)\/r)**(-43) assuming r is positive.\nAnswer: r**(-1897\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-90)*39*4\/(-26).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*p - 5*z, 0 = -0*z + 2*z. Let o be 48\/(-28)*14\/p. Let h = -3 - -6. What is the greatest common divisor of o and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 3, 5\/2, -1, 5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175339 is divided by 12352?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, n: 2, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the third derivative of 0*n + 9*n**2 + 0*n**3 + 2\/105*n**6 - 13 + 0*n**4 - 2\/21*n**5 + 1\/735*n**7. Solve m(p) = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4\/3, 12, 0.052, -0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 505050 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/13 in 5, -5, -14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 16\/28424311 > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -173\/6000 and 139\/3552.\nAnswer: 444000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 - 6. Determine x(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 6 - x**5 - 26*x**2 + 17*x - 4*x**4 + 22*x**2 + 18*x**2 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 874555?\nAnswer: 5, 11, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -33.19 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-28)\/(9 - 16 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 199\/1004910 and -73\/11685.\nAnswer: 1004910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 times -4377538?\nAnswer: 131326.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -3*c**3 - 39*c**2 + 41*c - 9. Let l be g(-14). Solve l*d - 91*j = -87*j - 20, 5*j - 25 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5773619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 4574 = 4208 - 15598. Calculate the greatest common factor of k and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**3 - 5*r**3 + r**3 + 9*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -812820 divided by 874?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 12 + 5)*(2*c + c - 2*c) + 238*c - 54*c - c.\nAnswer: 181*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + 13 + 271. Suppose -154 - 586 = 4*g. Let f = g - o. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-31)*w*w**(-2\/15)*w*(w**12)**(1\/4) assuming w is positive.\nAnswer: w**(-392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be 40326\/45 - (9\/(-9))\/(30\/(-4)). Calculate the highest common factor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -50016.8 and 74.\nAnswer: -3701243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2706, -9826, -21384, -37386, -57838?\n\"Answer: -v**3 - 2213*v**2 - 474*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -13*u**3 + 1. Suppose -30 = 2*o - 4*g, 6 = o - 12*g + 17*g. Let z(i) = -27*i**3 + 2. Calculate o*n(t) + 4*z(t).\nAnswer: 9*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be -104 + (-4)\/4 + 0. Let x be 4\/6 - (-100)\/m. Let q = 9 + -9. Which is the nearest to x? (a) q (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 1\/4*n**2 + 1\/4 + 1\/2*n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 25, -4*i = 3*w - 479 - 564. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 991, 1984, 2977, 3970?\n\"Answer: 993*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8692 - -11554. What is the lowest common multiple of b and 1590?\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 13*d - 1022. What is s(40)?\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 85271170 divided by -42635585\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -64, 5, -9, -3, 7 in decreasing order.\nAnswer: 7, 5, -3, -9, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 1633 = 30*d - 29*d, 2039 = 5*r + d. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -142*x**2 - 14. Let k(f) = -47*f**2 - 5. Suppose -257*y + 1443 = -2926. Calculate y*k(u) - 6*p(u).\nAnswer: 53*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (5*n**3 + 0*n**3 - 2*n**3)*(15*n - 2*n - n)*(1 + 3 - 1) in the form v*n**3 + u + s*n**2 + p*n**4 + g*n and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 52 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -69 + 47 + (3 - -20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21 and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 7 + 1 = 0. Let m be (2\/t)\/(14\/(-3)). Let v = -1.6 + -0.4. Which is the nearest to v? (a) m (b) -2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1533 - -1536. Solve 1 - 2 = -g*t + 5*y, t = -2*y + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21442947*g**3 + 238292*g**2.\nAnswer: -128657682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 491899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of s**2 + 0*s**3 + 7*s + 0*s**5 + 0*s**4 + 5\/2*s**6 + 37. What is the second derivative of y(p) wrt p?\nAnswer: 300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, -4, 8, -23, -1246, 4 in increasing order.\nAnswer: -1246, -23, -5, -4, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (2*sqrt(17))**2 + sqrt(17) - ((sqrt(17) + sqrt(17)*-2)*3)**2 - (2*(-2 + sqrt(153)))**2.\nAnswer: -709 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 - 612\/48)\/((-25)\/(-24))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 4*f - 275, 0 = 2*f + f + l - 210. Let d = -68 + f. Find the third derivative of -6*y**d - 22*y**2 + y**3 - 6*y**3 + 33*y**2 wrt y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t**3 - 72*t**2 + 19*t + 85. Let n be c(35). Let p = -1046 - n. List the prime factors of p.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -2*l**3 + 73*l**2 - 37*l + 39. Let v be d(36). Let w be v\/12*(-10)\/10. Let j = -0.5 + 0.1. Which is the second smallest value? (a) j (b) 9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 7) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 212 and 28628.\nAnswer: 1517284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of -7\/4*f**4 + 2 + 2*f**2 + 0*f + 0*f**3. Find the second derivative of t(b) wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000367996 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s - 3*s = 6. Let z(k) = -4*k**s - 3*k + 4*k - k**3 - 5*k - 4. Calculate z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 4*u - 271, -23*s + 21*s + 3*u + 182 = 0. Solve 73 = -3*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2148661, -2148657, -2148653, -2148649, -2148645, -2148641?\nAnswer: -2148637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = -16*a + 13*a - 17, 6*o = 9*a - 5*a + 4 - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 28 - -36*(40 - 41)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.9, 1067, -31\/4?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from wppupjpwpuxxxxpp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1712\/25 <= 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1652 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bddbdbdxbxd. What is prob of picking 1 d, 2 x, and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 73 - 62 - (-1 - (-1 - 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -24. Calculate the highest common divisor of 33 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -471*w**3 - 21*w + 21. Let z(a) = -47*a**3 - 2*a + 2. Give -2*b(m) + 21*z(m).\nAnswer: -45*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -53*b**2 + 29 - 42*b**2 + 92*b**2 with respect to b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1225, -1225, -1227, -1231, -1237, -1245?\n\"Answer: -c**2 + 3*c - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(1\/9))**(-8\/13) assuming h is positive.\nAnswer: h**(-64\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 - 2*w + 3)*(3*w**2 - 2*w**2 + w**2) + 3432*w - 21*w**3 - 3432*w + (-3*w**2 + w**2 + w**2)*(w + w - 4*w))*((-3 + 4 - 3)*(-1 + 1 - 1) + 2 + 3 - 3).\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 2*o - 27 = -247, -3*o - 542 = -5*q. Let x = 111 - q. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-180))\/(3\/(-9)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 842942265675507 and -1?\nAnswer: 842942265675508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-742)\/(-35) - (-1)\/(-5). Solve -2*t + 3 = m, 0*m - c = -5*m - 4*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = 31*f + 108 - 33. What is the nearest to -0.05 in f, -6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (35186 - 35186 - 175*y**3 - 750*y**3)*(-y - y + y).\nAnswer: 925*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 828 - 4116\/5. Let s = 8 - 12. Let y = h + s. What is the common denominator of 6\/7 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l + 56. Let r(n) = -n - 58. Calculate -3*g(j) - 2*r(j).\nAnswer: -j - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 4*s**3 + 1. Let f be h(-1). Let w be (f\/(-2))\/(2\/4). Suppose -4*y + 18 = -m, m + 1 + 5 = y. Solve -y*r = 4*o, 6 = -w*r - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -8) + -7 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000009381284 rounded to 7 decimal places?\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -5*c - 24, -18*m + 3*m - 138 = 8*m + c for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*y = 14*y - 240 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7 take away -40293.3922683?\nAnswer: 40294.0922683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**2*j\/(j*j*j**(1\/5)))\/(j**(2\/15)*j**(-2))*((j\/(j*(j\/j**(1\/11)*j)\/j))\/j**(2\/9))\/(j**(2\/7)*j*j\/(j\/(j\/(j*j**(1\/2)*j))*j)) assuming j is positive.\nAnswer: j**(3811\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -1\/3, -0.0778, -140?\nAnswer: -0.0778","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 3 + 102\/(-18)*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -95 - -5?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**3 - 5*u**2 + 5*u + 2. Let r be d(4). Suppose -r*k = -9248790 - 62271210. What is k rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192 = 4*j - 4*f, -3*f + 250 = 5*j + 2*f. Suppose 4*n - j - 29 = -5*h, -3*h - 28 = -n. Calculate the lowest common multiple of 2 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(68) - (sqrt(68) + 1*sqrt(68) + 2 + sqrt(68))))**2.\nAnswer: 64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -10 - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**3 - 35900*r**2 - 467545*r.\nAnswer: 5*r*(r - 7193)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 116 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4330763 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4081657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29507146506732 + 29507146506732 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -179094.5999996 - -179095. Let z = 2.4 + -2. Let w = z - q. What is w rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in 3*r**5\/11 + 169*r**4\/11 - 3013*r**3\/11 - 140601*r**2\/11 - 545750*r\/11 - 15128 = 0?\nAnswer: -61, -22, -4, -1\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*p, -n + 4*p = 2*p - 9. Which is bigger: n or -7\/18?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) - sqrt(162)*1)\/sqrt(6))**2 + (-2 + (2 + sqrt(3))*-4)**2.\nAnswer: 80*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2470387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.7 - -4.6. Is m greater than or equal to -3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 50855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*x = -84 - 1685 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1769\/(-61) - -25)*((-3)\/9)\/(62\/(-3)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -4*f - 56. Calculate k(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i - 14. What is f(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 52*w - 16. Let b(o) = -7*o + 54. Let g(j) = 13*j - 99. Let z(m) = -11*b(m) - 6*g(m). Determine y(z(r)).\nAnswer: -52*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2081 + 50339. What is the ten thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 5523753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*k - 16*k + 35*k - 12*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -39*v + 2*v**4 + 367 - 69*v**3 + 43*v**3 + 39*v wrt v.\nAnswer: 8*v**3 - 78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kuauwoakkakowg. What is prob of picking 1 g and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -16*j + 33*j - 18*j. Let u(m) = 10*m**2 + 2*m. Give u(f(x)).\nAnswer: 10*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 58873.33ml in litres?\nAnswer: 58.87333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, 87, 5 in decreasing order.\nAnswer: 87, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 1583 (c) -3\/4 (d) 2 (e) -95 (f) 12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003891383979 rounded to 7 decimal places?\nAnswer: -0.0038914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -122 + 3 + 5 - 13*q + 18 to the form c + y*q and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let l be (3\/2)\/((-1)\/12). Let z be l\/(-4) + 3\/(-2). Suppose 0*y = -z*y + 5*i + 15, -i = -3*y + 27. Calculate the highest common divisor of 15 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 275 a factor of 1361140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 4550 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + l + 3*y = 21, -18 = 5*l - y. Let k = -6 + 3. Let q = 1 + k. What is the second smallest value in -0.1, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1907*w = 1648*w + 7252 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8.43 + 1.43. Which is the nearest to 1\/2? (a) 0.2 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 4*m - 720 = 0, -13*m + 16*m = -4*u - 607. Is -152 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2 + 482944*g - 29154363392.\nAnswer: -2*(g - 120736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 204 - -36. Suppose 5*i = -45 + p. Suppose 5*x = 3*o - o - 4, -5*o = 2*x - i. Solve 5*d - 3*q + o*q = 5, -4*d = 2*q - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35249 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do 1816 and 1814 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(1*sqrt(192))**2*-6 + 4.\nAnswer: 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(1573) + ((sqrt(1573) + sqrt(1573) + -3)*-5)**2 + sqrt(1573) + 2).\nAnswer: -157527 + 3278*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**2 - 21*d + 1. Let w be n(21). Solve 0 = 2*t - w - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72209 is divided by 1017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -210099 plus -100?\nAnswer: -210199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of -13*h**4\/12 - 13*h**2\/2 - 2*h - 77. Let s(c) be the second derivative of r(c). Let u(p) = -7*p**2. Determine u(s(t)).\nAnswer: -4732*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1768720 - 8?\nAnswer: 1768712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110101101001 + 1101?\nAnswer: 110101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -3 + 2*h + 2 - 3*h. Suppose 7*f - 4*f - 4 = 4*n, -2*n = -2*f. Let d be k(f). Solve -3*y + 2*y = -d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.018 and -133515045.653.\nAnswer: -133515045.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r = -3*k + 38, r - 8*k - 6 = -35 - 49 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a + 2*a + 200. Suppose -4*v + 9*v - a = 0. Calculate the least common multiple of v and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14 and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - s + 1. Let f(p) = 5*p**2 - 3*p + 12. Let i(j) = -f(j) + 6*z(j). Suppose 369 = 64*n + 49. Calculate i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (27 - 7*q - 27)*(-2 + 19 + 56) to j*q + u and give j.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s**(-2\/7)\/s*s))**(-1\/19)*s**(-8\/7)*s*s**(-5))**(-6) assuming s is positive.\nAnswer: s**(594\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*b + 2*b**3 + 5*b - 11*b + b**3.\nAnswer: 3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 4*t = 27, -r = t + 3 + 6. Let g = 19 + r. Suppose 4*u - 3*d - g = 0, -8 - 4 = -u - 4*d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -76 + 79. Suppose -6*o = 9 + g. What are the prime factors of 6314\/63 + o\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 - -2. Let g = 2 - -14. Suppose 0*j = s + h*j - 8, 2*s + 4*j = g. Calculate the remainder when 14 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 4*q + t - 70121 = 0, -17525 = -q + 5*t. Is (-4)\/6 - (-1 - q\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3 and 507?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -124*305\nAnswer: -37820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, -1, -4, -0.1, -10.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/14131098 and 32\/9.\nAnswer: 14131098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (9\/6)\/((-3)\/(-16)). Suppose z - 66 = -3*d, -2*z + 4*d = -54 - 98. Calculate the greatest common divisor of t and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(72)*-1 + 4*(0 + sqrt(2)) + -5.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 573, 577, 583, 591, 601, 613?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 37 + 2 = -3*z, -3*x - 57 = -5*z. Suppose 4*u - 8*n = -3*n + 180, z = -3*n. Suppose g = -0*g + 100. What is the greatest common divisor of u and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67\/2 - -33. Let s(j) = j**2 - 6*j - 8. Let g be s(7). Which is the second smallest value? (a) 3 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/(-10)*(10 + -90). Suppose 0 = -4*u - 4*p + l, -u + 2*p = 7*p - 28. Suppose 0 = -3*k - 2*y + 17, 0*y - u*y = 3*k - 15. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f = -7*f + 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 104632635.\nAnswer: 4\/104632635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -1065587 (base 11) to base 14.\nAnswer: -368442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35 and 526141?\nAnswer: 2630705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u**(-11)*u)\/u**10)**9)**(-8))**(2\/33) assuming u is positive.\nAnswer: u**(960\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120*d - 121*d + 854 = 0. What are the prime factors of d?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p + 5 + 5 + 4 - 5 - 3. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-1*sqrt(64))\/(sqrt(96)\/sqrt(12) - sqrt(200)\/sqrt(4))*6 + -5.\nAnswer: -16*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -2034.7.\nAnswer: -2027.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-37599)\/(-137863)*(-3)\/(270\/(-22))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 379025718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 7*v + 6. Let z(h) = 6. Let l(b) = -b + 1. Let a(n) = -3*l(n) + z(n). Let j(c) = 5*a(c) - 2*w(c). What is the first derivative of j(g) wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5171, -20817, -46907, -83441, -130419?\nAnswer: -187841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m - 7892. Let x(d) = -2*d**2. Calculate y(x(f)).\nAnswer: 2*f**2 - 7892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 14, t: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 22845 divided by -4569?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 1860181 - 1860181 + 69*q - 9631*q as c*q + s and give c.\nAnswer: -9562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 58 - 17. Let c = s - 29. Let w be (-2)\/7 - (-90)\/21. What is the highest common divisor of w and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00626270053 rounded to six decimal places?\nAnswer: 0.006263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1967.2405 + 1967. Round i to three dps.\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/6*1)\/(10\/30). Let u be 2 + j + 210\/42. Sort 3, u, 0.4.\nAnswer: 0.4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -30 - 15. Let j be (-12)\/r*2\/12. Let u = -4\/9 + j. Sort 4, 1\/2, u.\nAnswer: u, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 270 (base 15) in base 6?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 103 - 7917655637708.\nAnswer: -7917655637605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*j = -2*l + 27*j + 22*j, -11*l = -13*l - 5*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*d + 2*d = 666. Let l = d - 3. Calculate the highest common factor of l and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -13*r. Let v = -10 - -12. Let j(b) be the first derivative of -10 + 15 + 2*b**v - 2. What is j(s(h))?\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/5 in -0.0279, 1, 184?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-36)\/(-10))\/((-200574)\/3175755)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -297*w**3 - 273565*w + 59692690?\nAnswer: -891*w**2 - 273565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -131130220333 (base 4) to base 8\nAnswer: -35345077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 197*m - 213 + 2239 - 647 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2799\/952 + 77\/17. Find the common denominator of (-10)\/(-7)*117\/(-54) and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5025 by 67.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (2 + -3)) + 0 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 - 12*c**2 + 12*c + 9. Let l be n(-13). Differentiate -l*o + 22*o - 18*o**2 - 7 - 29*o**2 with respect to o.\nAnswer: -94*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -56*m - 6 - 62*m + 127*m. Let v be d(6). Let a = 178 - v. Calculate the remainder when a is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4533, -4526, -4509, -4476, -4421, -4338, -4221, -4064?\nAnswer: -3861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1891 in 2\/3, -0.3, -2, 0.4, -46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 - -7. Let w = 0 - y. Let u be (9\/(-42))\/((-12)\/14). Which is the third smallest value? (a) -3 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the third derivative of -t**6\/40 - t**5\/30 + t**4\/12 - t**3\/6 + 2*t**2. Let y be w(1). What is the units digit of (y\/6*-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/202 and 56\/98 + 141\/42 + 1.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 11302411?\nAnswer: 11302412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 335 a factor of 126123815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -6*(sqrt(931) + 3 + -5 - ((sqrt(931) + 0)**2 + 5)).\nAnswer: -42*sqrt(19) + 5627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68791 is divided by 1599.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2687*n**2 - 3*n + 3. Let u be t(1). Let o = u - 1535. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160648.65us in minutes?\nAnswer: 0.0026774775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/(-21) + (-6)\/21 + -25. Let p = k + 39. Find the second derivative of 30*t**2 - p*t + 5 - 15*t - 5 wrt t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1696 + 5093\/3. Let k(o) be the second derivative of 4\/5*o**5 - i*o**4 + 0*o**2 - 3*o + 0 + 4\/3*o**3 - 2\/15*o**6. Factor k(h).\nAnswer: -4*h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 3 = -3*f, 3*v - 4*f + 0*f = -8. What is the third derivative of 2*j**4 + j**5 - v*j**4 + 2*j**2 + 2*j**4 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from owkwodeooaoee. What is prob of sequence wo?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {y: 2, t: 1, f: 5, r: 1, n: 2, x: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 + (-6 + 3)\/(-1). Factor 12*c**2 - 2 - 2 - s*c**3 + 4*c - 8.\nAnswer: -4*(c - 3)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (52\/(-39))\/(182\/21) - (-73)\/390?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 157 = 4*g, -5*g = 4*a - 7*a + 89. Let k(t) = t + 7. What is the remainder when a is divided by k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 h when four letters picked without replacement from ihbibbibibiii.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0\/((-3)\/((-5)\/((-30)\/(-9)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wvvwwwvwwsvwqvwqvsv. Give prob of picking 2 q and 1 w.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 1835686.7 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 0*z**4 + 0*z**3 + 5*z + 0*z**5 - 1\/6*z**6 + 0 - 5\/2*z**2. Differentiate l(y) with respect to y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8073 is divided by 1343.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -403*c + 200*c = -261*c - 2610 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**2 - 4*o**2 + 0*o**2)*(-4 + 2 + 0) + 0*o**2 + 9*o**2 - 4*o**2 - 60 - 2*o - 72 + 131 + 19*o**2.\nAnswer: 28*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 601284?\nAnswer: -1\/601284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164\/(-3)*36\/(-24) is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18825885031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 + -22. Suppose 2*n = -4*v + n + 44, -n = 4. What is the remainder when ((-2)\/1 - -4)*(-116)\/t is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 244*d**2 + 251*d**2 + 3*d**3 + 10*d**3 - 495*d**2.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -2*k + 3. Let q be g(0). Suppose -n - 4*w = -402, q*w + 1513 = 3*n + n. Let m = n + -261. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*m**2 - 131304*m + 1077546276.\nAnswer: 4*(m - 16413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from jsshhssjorshhjn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 2 u when four letters picked without replacement from udcuddududcuddccuu?\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -172*u + 1799. Determine w(5).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 7051, 12322, 17585, 22840?\n\"Answer: -4*b**2 + 5283*b + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*sqrt(21)*4)\/(-2*sqrt(175)*-2 + sqrt(175) - sqrt(175)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/(-24) - (-4048)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -207 = 3*t - 4*p - 1090, -4*t - 2*p = -1214. Calculate the remainder when t is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -227\/594 - -1\/54. Let f = 1718.051 + -1715. Let h = f - 0.051. Put y, h, 1\/6 in decreasing order.\nAnswer: h, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 7*o = 2*a + 15, 4*a + 2*o = -22. Let s(t) = 1. Let r(f) = f**2 + 8. Give a*s(v) + r(v).\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = -9*g - 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4, -2, -3, -1, 212 in decreasing order.\nAnswer: 212, 4, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 9028, 11223, 13418, 15613?\n\"Answer: 2195*p + 6833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1025 rounded to the nearest 10?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g + 4. Let v = -30 - -28. Let t be 2 - v - (6 + 3). Suppose 0*k + 10 = 5*k. Let i(c) = 3*c + 9. Determine k*i(y) + t*q(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from yrrlrllr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -4277 (base 10) in base 15?\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 - 105?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -11. Let o be -2 - (-13 + (-2 - 0)). Suppose d = 2*k - o. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/((-2 - 0)\/2). Let z(r) = -2*r**3 + 3*r**2 - 3*r + 1. Let b be z(2). Let f be (0 - -2) + b\/5. Is v greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12418? (a) 5 (b) 1\/8 (c) 0.047 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -11*f**2 + 76*f. Let j be g(5). What is the greatest common factor of j and 870?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 24\/(-144)*(-4)\/(-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 713 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -104004 - 43554?\nAnswer: -152002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 9*h**2 + 8*h - 6. Let p(b) = 10*b**2 + 7*b - 5. What is -6*p(f) + 5*s(f)?\nAnswer: -15*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(1\/5)\/(j*j**(1\/4))*(j**1)**(-14\/13)*j**(6\/5)*j*j*j**(-6)*(j*j\/(j**(-2\/5)*j))\/(j\/(j*j**(-4\/9))) assuming j is positive.\nAnswer: j**(-9293\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -3*o - 16. Let i(p) = -15*p - 188. Let x be i(-12). Determine r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 24 + 68 = -4*x, 5*x + 57 = -3*t. Let z = 21 + x. Solve -c + 3*c - z = b, -3 = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8.861, -17, -4, -2, -5, 2.\nAnswer: -17, -8.861, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.4198868kg?\nAnswer: 0.0004198868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -36? (a) 15 (b) -0.54 (c) 0.09 (d) 1\/3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -197\/5 or 11?\nAnswer: -197\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) + sqrt(8))*-3*-1 + -4)*-3 + 5.\nAnswer: -72*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20681090?\nAnswer: 2, 5, 2068109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 39*f - 348. Let k be u(9). Sort -112, k, 2 in increasing order.\nAnswer: -112, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -35627, -71256, -106885, -142514, -178143, -213772?\n\"Answer: -35629*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13945*u**5 + u**3 - 219*u**2 + 255644716*u.\nAnswer: -278900*u**3 + 6*u - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/231 and 61\/2142.\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5 + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 11*a - 1 + a + 1. Let t(x) be the second derivative of x**3\/6 - 4*x. What is -h(p) + 10*t(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125 + 344 = 7*w. Suppose -5*j - w = -q, -q + 6*j = 2*j - 64. What is the remainder when 259 is divided by q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-1) + 2 + 4. Let p(h) = 3*h - 7. Is p(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 26\/6 + (-2)\/(-3). Let r = 17 + -9. Suppose f*a - 7 = r. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((((2*sqrt(308) - sqrt(308)) + sqrt(308))*-5)\/(sqrt(252)*-2 + sqrt(7)))\/(1*sqrt(576)*-1*2).\nAnswer: 5*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1714*k*n**3 + 1077*k*n**2 - 37*n**3 - 2*n**2 - 1157*n - 13 wrt k?\nAnswer: 1714*n**3 + 1077*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 4, n: 1, q: 2, m: 3, k: 6}. What is prob of sequence mn?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 11328068249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-54)\/126*42)\/(2\/8 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 442038.\nAnswer: 2, 3, 73673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-5)\/3 - -2)\/((-7)\/(-6)). Which is the smallest value? (a) 0.03 (b) s (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -49264290.5 + 3.42.\nAnswer: -49264287.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - -4598778?\nAnswer: 4598775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -1, -3*n - 4*t = -8*n + 46. Suppose -2*b = -10 - n. Suppose 4 + 14 = 3*w. Calculate the least common multiple of w and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 514 is divided by 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 + m**2 + m. Let u be c(-1). Let h be 0 + (0 - -2) + -1. Let r be h + (2\/(-5) - 1). Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -57313\/33 + 1737. Let f = k - -1\/11. Is f < -0.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 373924641 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 301265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t**2 - 2. Let j = 8 + -9. Let r = j - 1. Calculate the remainder when 17 is divided by l(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1902739094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-22132)\/1584 + 7 + (6 - -1)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 48, 3, 13, -67, 10, 16 in increasing order.\nAnswer: -67, 3, 10, 13, 16, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -3, -4, 0, 38, 36 in increasing order.\nAnswer: -4, -3, 0, 10, 36, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1329, -1681, -2033, -2385, -2737?\n\"Answer: -352*p - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 298*p + 4547. Let m be b(-15). Let y = -13 - -24. Calculate the greatest common divisor of m and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**4 - 3045*n**3 + 9144*n**2 = 0. What is n?\nAnswer: -3048, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*((-9)\/(-42))\/(30\/340)*812\/348?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-14) - (-40)\/91. Let r = 18191 + -18196. Sort -0.7, r, x in ascending order.\nAnswer: r, -0.7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4497 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the second derivative of 0*m**3 - 1\/48*m**4 - 1\/2*m**2 - 1\/96*m**6 + 2*m - 7\/240*m**5 + 0. Let k(x) be the first derivative of g(x). Factor k(c).\nAnswer: -c*(c + 1)*(5*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, 2, 2\/17, -179?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(147))**2 + -4 + (sqrt(147) - (-1*(1 + sqrt(147)))**2).\nAnswer: -7*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w - 3. Let v(a) = -5*a - 8. Let m(z) = z**3 - 3*z**2 + 3*z + 3. Let i be m(3). Let k be (i\/3)\/((-2)\/(-2)). Calculate k*v(f) - 11*o(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -814*j + 736*j + 2871 - 2097 + 8430 = 0 for j.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 2930 = 4*p, -5170 - 677 = -2*q - 5*p. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/2 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000220329 to 7 decimal places.\nAnswer: 0.0002203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - 2. Suppose -2 = 3*y - 5*y. Suppose -v = 2*k + y. What is the common denominator of k and 41\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 251 + -256. Let u be (456\/30 - j) + 1\/(-5). Solve 7*h = 3*h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-27)\/(-6))\/((-8)\/(-32)). Suppose -3*x + 12*x = o. Solve -5*f + 12 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5999215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 33, 1.1, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -1722*u + 971209. Calculate z(564).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bdddbdd. Give prob of picking 1 d and 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 410844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -51 + 62 - (6 + 2 + 61 - 9)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the third derivative of -d**9\/100800 - d**8\/16800 + d**7\/2800 - 2*d**5\/5 + 11*d**2. Let k(l) be the third derivative of h(l). What is g in k(g) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus -779990798741?\nAnswer: -779990798741.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes after 4:14 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uhuhuuuhuhhuu. What is prob of sequence hu?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -3*n**3 + 2*n**2 - 2*n + 2. Let i(d) = -d**3 - 11*d**2 + 26*d + 1. Let u be i(-13). Let h be c(u). What is the nearest to h in 1\/9, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 6210*j - 31022. Calculate b(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5927 is divided by 1200.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 - 8 = -3*q. Let y(t) = t**2 - 3*t. Let i(o) = o**2 - 3*o - 1. Let f(k) = q*i(k) - 6*y(k). What is f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 1668*w - 3282. Let i(u) = -u**2 - 1658*u + 3284. Let s(q) = 3*i(q) + 2*l(q). Determine t so that s(t) = 0.\nAnswer: -548, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8.299906 to 3 dps.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 46 - -68. What is the remainder when z is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 + 0.81247\nAnswer: 0.91247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, 0.3, -9, -2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 431\/16 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -5262 and 3609.\nAnswer: -18990558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 28*l - 6509034*l**3 - 28*l - 1 + 6509032*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -446.298 to the nearest integer.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve i = 3*n + 112, -171*i + 206*i = -3*n - 76 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -191.34051 to one decimal place.\nAnswer: -191.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34 - 547*s + 1076*s - 2*s**3 + s**3 - 531*s + s**2 - 2*s**4 to the form o*s**4 + i*s**3 + j + r*s**2 + x*s and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 259991 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 + h**2 - 1. Let i = 43 - 44. Let w(l) be the second derivative of -l**5\/10 + l**4\/4 - 5*l**2\/2 + 79*l. Calculate i*w(j) + 5*r(j).\nAnswer: -3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*j - 8 = -22*j. Let u = -0.5 + 7.5. Let k = u + -12. Put 3, j, k in increasing order.\nAnswer: k, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 830 and 8?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -193, -225, -261, -301?\n\"Answer: -2*w**2 - 26*w - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.861585nm to millimeters.\nAnswer: 0.000000861585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (16\/56)\/(7 + 7629*(-295)\/321510) is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*(-6)\/(-144))\/(12\/30).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1125821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 8 = -3*p, 0*g + 20 = 5*p + 5*g. Suppose -11 = 3*d - h, -5*h - 7 - p = -2*d. Let r(n) = -n**2 - n + 2. Determine r(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 34303675 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99*m**4 - 15*m**5 - 114*m**3 - 22*m**2 - 39*m - 6 - 8*m**2 + 33*m**4 - 66*m**2 = 0. Calculate m.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 413278 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6137405 is divided by 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 9 divided by -107\nAnswer: -9\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:58 PM and 9:02 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21372?\nAnswer: 2, 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (15\/(-120))\/((-6)\/8). Let h(d) be the second derivative of 0 - 3\/10*d**5 - v*d**4 + 6*d + 0*d**2 + 0*d**3. Find the third derivative of h(o) wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209.49759422 rounded to 3 dps?\nAnswer: 209.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 74*v + 124. Suppose 0 = -2*y + 24*y - 418. List the prime factors of r(y).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-11)\/(-2))\/((-10)\/20). Let o(y) = -y - 5. Let u be o(i). Let n(w) = 3*w - 3. Let c(s) = s**2 - s + 1. What is u*c(b) + 2*n(b)?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*d - 25. Let z be 3*(2\/d - -1). Solve 0 = v + v - z*l - 14, v - 3 = -2*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 AM and 12:38 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 247 - 361. Is -114 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 23.027962 to 1 dp.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a = 7*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7403938?\nAnswer: 2, 3701969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11627159.7 + 4?\nAnswer: 11627163.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -367 - -577. What is the highest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2121, -2181, -2241, -2301, -2361?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -484272, -484278, -484286, -484296?\n\"Answer: -f**2 - 3*f - 484268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 61 divided by -13742\nAnswer: -61\/13742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 22606*j**4 + 1336*j - 44632*j**4 + 22753*j**4 wrt j?\nAnswer: 8724*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.532 times 56.9\nAnswer: 30.2708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 303624 - -14?\nAnswer: 303641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -61372064\/3 or -20457356?\nAnswer: -20457356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -40 + 43. Suppose -8*z + 3*z + 740 = -5*p, 0 = o*z - 2*p - 443. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s*s**(-9))*s*s\/s**5)**(2\/9))**13 assuming s is positive.\nAnswer: s**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 + 8*s**2 - 6*s + 4. Let f be r(7). Suppose -f = -3*z - 2, 2*z = -3*k - 165. Which is smaller: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 434 and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -5358 (base 10) to base 5.\nAnswer: -132413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2956387537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 3*o = -191 - 7, 0 = -3*a + 2*o + 583. Let x = 200 - a. Solve -2*k = -3*k + y + x, -k - 25 = 5*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 6326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13.5685 - -13.42. What is c rounded to 3 decimal places?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 688*p + 11 - 2 - 5 to r*p + l and give r.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 1\/4, 0.1, 5, 65\/21, 0.5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-2))\/((-9)\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.012, 4, 1867, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 - 7*c**2 + 7*c - 11. Let s be v(-8). Suppose -31*r + 2071 - 2226 = 0. Sort r, -9, 0, s.\nAnswer: -9, r, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 998850 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -13 - 2.1515761599?\nAnswer: -15.1515761599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (11\/(-22))\/(372\/75 + -5). Determine m, given that -5 - 65\/4*m - x*m**2 = 0.\nAnswer: -4\/5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 128, -5, 0.0957?\nAnswer: 0.0957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1395 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.67 + -1.27. What is the second smallest value in -42, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 0 = 2*g - v, 1 = g + 5*v. Solve -2*w + 1 - 9 = 0, 3*p - g = -2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*t - 265992 = -64*t. List the prime factors of t.\nAnswer: 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 3*v + 39 + 26 = 0, 337 = -5*z + 3*v. Let o = 68 + z. Let p(b) = -b**3 + b**2 - 2. What is p(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/5, 1\/5, 1\/28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 - 21*c - 144. Calculate the remainder when o(28) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 2*r**2. Let f(h) = -72*h**2 - 63. Let w(y) = -y**2 - 1. Let t(k) = -2*f(k) + 126*w(k). Calculate c(t(v)).\nAnswer: 648*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 39*g**2*p**3*v + 8398*g**2*p**3 - 12*g**2*p**2*v wrt v.\nAnswer: 39*g**2*p**3 - 12*g**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 60, 56, 36, -6, -76, -180, -324, -514?\n\"Answer: -j**3 - 2*j**2 + 9*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - 3423?\nAnswer: -3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 7 + 19. Let r be (-3)\/4*(-68)\/y. Let m(z) = -z**3 - 19*z**2 - 77*z + 3. Let t be m(-13). Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 846 and -3.3.\nAnswer: -2791.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes before 8:42 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7245319 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, z: 3, k: 1, v: 3, a: 2, s: 1}. What is prob of sequence zvaz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -93 (b) -4 (c) 0.3 (d) -1\/1315 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is g in 3*g**2\/5 + 16087248*g\/5 + 32174484\/5 = 0?\nAnswer: -5362414, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fplb when four letters picked without replacement from lipfebpffll.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -8*(-27)\/72*(-6)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 + -5. Let k be o + -5 + (-7)\/(-4). Which is the closest to k? (a) 1 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 126, -1, -1086.\nAnswer: -1086, -4, -1, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 54548563211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**22\/m)\/m*m*m\/m**25 assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*x + x + 4*x)*(1 + 3 - 2) + (-x - 3*x + x)*(1 + 1 - 1) + x + 2*x - 9*x + (-3*x + x + 4*x)*(2 + 0 - 3) + (-2*x - 2 + 2)*(5 + 0 - 3).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*l**5 - 4*l**5 + l**5 + (0*l - 2*l + l)*(-396*l + 396*l - 43*l**4).\nAnswer: 44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -4395420*s. Let a(r) = -2*r. Calculate u(a(h)).\nAnswer: 8790840*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.3 - 0.7. Let i = -7 - p. Let f = 422 - 421. Put 1\/3, f, i in decreasing order.\nAnswer: f, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/(-2) + (-1)\/2. Suppose k*w - 2*p - 12 = 0, 8 + 7 = -w + 5*p. Let j be (-3)\/w*1 - -1. Is j >= -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - -1569658708976.\nAnswer: 1569658708974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 2*p + 18. Let v(q) = q - 9. Let a be v(p). Sort 4, -1, a in increasing order.\nAnswer: -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**2 - 5*s + 9. Calculate the remainder when w(6) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 36280013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5\/8, -1\/4, 2.6, 1\/2?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 687271\/4 + -170827. Let c = 985 - z. What is the common denominator of 37\/14 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of h**6\/24 + h**5\/3 + h**4\/8 + 50*h**3\/3 - 396*h**2. Find the second derivative of m(p) wrt p.\nAnswer: 30*p + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*o**3 - 11*o**3 + 14 - 5*o**3 with respect to o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -989, -1904, -3363, -5312, -7697, -10464, -13559, -16928?\n\"Answer: 9*g**3 - 326*g**2 - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5826832*a**2 - 5827384*a**2 + 0*a + 0*a.\nAnswer: -552*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, -13379, 4\/239?\nAnswer: 4\/239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -5*r**2. Suppose -3*y = j - 11, 4*y - 2 = -5*j + 31. Let z(d) = 4*d**2 - 4*d**2 + d**y. What is z(h(a))?\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/(((-12)\/(-2))\/3). Let u = i - 7. What is the units digit of -4*(2 + -1 + u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1848159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of -1\/60*m**5 + 0*m - 1\/6*m**3 + 1\/24*m**4 + 2*m**2 + 15. Let l(h) = -5*h**2 + 5*h - 5. Determine 11*i(g) - 2*l(g).\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.08? (a) 0.5 (b) -4 (c) -0.5 (d) 1 (e) -1051.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 92, -4, 2 in descending order.\nAnswer: 92, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -283, -3 in decreasing order.\nAnswer: 0, -3, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of -1519 and -19642.9.\nAnswer: -21161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10804528 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 388 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3.2 - 3.19946. Round a to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.02, 3, 125, 5, -3, -0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4*1*(-2)\/4. Let r be 51\/(-6) + (-1)\/v. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003161767 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-260285)\/(-60) + 5\/(-60). Suppose -205*w = -196*w - m. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.1 and -244952?\nAnswer: -269447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, -2, 0.03, -9\/28 in descending order.\nAnswer: 3\/4, 0.03, -9\/28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -u**2 + u - u + (-u + u - 2*u)*(-1 + 1 + 2*u) + 5*u**2 - 4*u**2 - 3*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -5174160.52 rounded to the nearest 1000?\nAnswer: -5174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -295 - -281. Let y = -2 + 8. Calculate the least common multiple of 4 and (t\/y)\/(0 - 5\/15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.9 - -1.1. Let h = 0.29 + -0.29. Which is the closest to h? (a) 4 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i. Let v(r) = 4*r - 20. Let n(k) = 5*j(k) + v(k). Let z be n(5). Factor -10*m**2 - 7 + z*m + 20*m**4 - 20*m**3 - 3 - m**5 - 4*m**5 + 0.\nAnswer: -5*(m - 2)*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110011111111 + 110000001?\nAnswer: -101101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-14)\/(-35))\/((-816)\/(-209630)). Let o = y + -1686\/17. Find the common denominator of 7\/30 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*s - 29*s - 18 = -2*k, -9 = 2*k - 5*s. Suppose 48936 = k*f + 2433. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 162.9943 millilitres to litres.\nAnswer: 0.1629943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of -u**4\/66 - 2*u**3\/33 + 3*u**2\/11 + 327*u. Find a such that k(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 1\/4, -1962?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 k, and 1 g when three letters picked without replacement from {k: 4, g: 1, o: 5, d: 6}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 14 + (-9 - -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/((-4)\/(-12414))*2\/(-6). Suppose -a - 6826 = -5*g + s, 5*g - 2*a = 8895. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.040001 take away 0.05?\nAnswer: -0.009999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4064 - 3960. Solve -109*f = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49473353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2\/3, 2\/9, -0.8, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2769 and 50679161.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + v = 230, r + 2*r - 346 = -v. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r - 2*r + r - 6*r + 6*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -l**2 - 689 + 1377 - 688. Let c(q) = -33*q**2 - 3. Determine c(k(v)).\nAnswer: -33*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20)\/sqrt(640))**2 + sqrt(2) + sqrt(128) + 4 + sqrt(128).\nAnswer: 129\/32 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 9, y: 4, s: 4}. What is prob of sequence dssd?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71 + 27 + 20 + 24 - 11*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:32 PM and 9:12 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8886559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -515 + 514. Which is smaller: u or 2\/57?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -v**5\/60 + 5*v**3\/6 + 10*v. Let c(t) be the second derivative of z(t). Let a(d) = -d - 2. Let x be a(0). What is c(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 727, 719, 685, 607, 467, 247, -71?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 95679.54ml to litres.\nAnswer: 95.67954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*y + 68 = -12. Let c(i) = 4*i**2 - 18*i + 14. Is 14 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3. Let o(v) = -4*v**3 - 3*v**2 + 4*v. Let b(k) = 3*a(k) - o(k). Let j = 5 + -5. Suppose -z - 3*x - 13 = 0, -2*z + 5*x = -j*z - 7. What is b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -68 - -99. Let z = v - -12. Let d = -11 + z. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 355 a factor of 315774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-36)\/((8\/(-2))\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of -2*w**2 + 4*w + 0 + 0*w**5 + 1\/30*w**6 + 0*w**3 + 0*w**4. What is the first derivative of z(v) wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14.2 - -0.8. Let n = 14 - q. What is the closest to n in -0.2, 0, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8507544705634 take away 16?\nAnswer: 8507544705618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -2967.8569 to 0 decimal places.\nAnswer: -2968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - o**2 + 19*o + 7. Calculate the remainder when q(-5) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1388 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3374, 6747, 10118, 13487, 16854, 20219?\nAnswer: 23582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2.6188 in 4, -0.3, 0, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 519391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -388*a**4 + 5*a**3 + 281*a - 8. Let c(m) = 193*m**4 - 2*m**3 - 142*m + 4. Let x(f) = 5*c(f) + 2*i(f). Find the second derivative of x(l) wrt l.\nAnswer: 2268*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1182 + -1180. Solve 4 = -4*y + j*n, 5*y - 4 + 0 = -2*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124 + 19 = -3*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*j**5 - 12*j**5 + 3*j**5 + (3*j - 2*j**2 - 3*j)*(-1 + j**3 + 1).\nAnswer: -19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y. Suppose 5*m = -872 + 887. Give r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-16)*(-2 + -2). Let s be 896\/(-40)*(-5)\/g. Suppose -4*o + s = 4*d, 0*d = 4*d - o - 117. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-570)\/(-15)*(-1)\/(-2). Let u be 2148\/21 + (-2)\/7. Suppose -u = 13*p - v*p. What is the common denominator of 7\/6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 PM and 1:03 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 37, -12, 0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -968\/3437 + -2\/491. Let r = -0.573 + 4.573. Which is the closest to r? (a) u (b) -1\/6 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-17 - -22)*-1*1\/(-5). Suppose -p + 5 = -h. Solve p = 4*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25778, 51549, 77320?\nAnswer: 103091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 PM and 9:24 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 46\/(-207) - (141\/(-27) + 0). Let d(q) = 44*q**2 + 2*q - 5. What are the prime factors of d(z)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 5*i**2\/6 - 75*i\/2 - 20125\/3 = 0.\nAnswer: -70, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 4 - 4 = -2*i, -i - 1 = -c. Let b(j) = 0 + j**2 - 2*j - 4 + c. Let h(y) = -y + 4. Let q be h(2). Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3835*i**5*n**3 - 1907*i**4*n - 7*i**2*n**3 - 2*i**2*n**2 + 18*i*n**3 - 3*i*n + 839*i wrt i.\nAnswer: 230100*i**2*n**3 - 45768*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, q: 1, r: 1}. What is prob of sequence nq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 + 4*g + 5. Let m be t(-4). Are -27 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 - (-21 - 4)) + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 18664.17 tonnes?\nAnswer: 18664170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-10)*-3)\/(21\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.3320562 - 38\nAnswer: -38.3320562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 29 + -31. Which is the nearest to 2\/7? (a) 0.2 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 5 - 4 - 2*c + (513 + 587 + 367 + 185)*(0*c - 4*c - c).\nAnswer: -8262*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the second derivative of 13*p**3\/6 - 10*p**2 + 264*p - 1. Determine h(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 31 = 19. Calculate the lowest common multiple of h and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*g**4 - 7693*g**3 + 2 + g + 7658*g**3 - g + g**4 to o + c*g**2 + n*g**3 + z*g**4 + u*g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 - 20*s**2 + 17*s + 3. Suppose 316 - 289 = 3*r. Calculate the remainder when z(-21) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -4*p**2. Suppose -c + 4 = 2*b, 2*c + b + 0 - 5 = 0. Let i(h) = -4*h**c - 2*h**2 - 4*h**2 + 6*h**2. Give i(z(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 68\/11 + (-2)\/44*4. Does 19 divide ((-304)\/o)\/(-7*6\/63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 113\/(-226)*(-1)\/3*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:38 PM and 7:36 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 9:21 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 153366366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000207263102 rounded to seven decimal places?\nAnswer: -0.0002073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 654 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: Evaluate -6 + 5 - ((4 - 2) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 113, 441, 935, 1553, 2253?\n\"Answer: -7*v**3 + 125*v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*h = 56*h - 16. Solve h*o + f - 21 = 0, -4*o = -2*o + f - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3890 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*f - 0 - 6. Solve y + s + 3 = f, 76*y - 72*y + s = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -3*j**2 + 25*j + 5. Calculate p(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1631525 divided by 326305\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 60739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*r - 22 - 248. Put r, 7, -3 in ascending order.\nAnswer: -3, 7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-2*sqrt(2420) + sqrt(2420)))\/(sqrt(60)\/(sqrt(6) + (sqrt(6) - (-1*-2*sqrt(6) - sqrt(6))))).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 28737313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) 0 (c) -2\/33 (d) 274 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14194*s + 14209*s - 70980*s + 14187*s - 1 + 14197*s + 1 + 14195*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in -0.01, 1, 0.024, -1\/2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4865948340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 8, f: 2, c: 4, q: 1}. Give prob of sequence sfqf.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 267 is divided by 80.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/15 in 3, 4\/5, -0.02, 0.3, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 5*h = 405, -2 = 4*h + 10. Let a = -214 - f. Is 2\/6 + a\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 4*p + 20 = 0, 4*d - 148*p = -150*p - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -4*t. Let p(r) = r - 11. Suppose -2*h + 59 = 3*h + k, -4*k = 5*h - 71. Let z(v) = 2. Let x(g) = h*z(g) + 2*p(g). What is m(x(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 131213875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, r: 1, w: 4, l: 9}. Give prob of sequence lo.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3012 and 21881427?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 17 divided by 236\nAnswer: 17\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-27 + 5 + 5 + 2 + 7 - 3 + 0 + 4 - 3 + 1 + 1 - 2 + 1 + 0 + (1 + 0 + 0)*(-4 + 0 + 3) - 11 + 1 + 1)*(-2 - 10*o + 2) as z + p*o and give p.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 2*c + 2 - 2*c + 5*c to s + n*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*s - 43 + 83 - 40.\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 26*w**2 + 36*w - 10. Let q(u) = 5*u**2 + 7*u - 2. Give 11*q(k) - 2*t(k).\nAnswer: 3*k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w - 102. Let v(q) = -8*q + 355. Determine 4*b(f) + 2*v(f).\nAnswer: -12*f + 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does -0.2 = -98\/404435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7651275 and 105900.\nAnswer: 30605100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 2*m - 162. Suppose 0 = f + m - 44. Calculate the greatest common divisor of f and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -883*s**2 + 1 - 29*s + 25*s + 12*s + 124*s**2.\nAnswer: -759*s**2 + 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 26 - 7. Let i(m) = 4*m - 36. What is the tens digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 72 in 4, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g**2 + 55*g - 19. Let o be c(27). Let p = 12 + o. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - 15622d?\nAnswer: -15622f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m - 4 - m**2 + 4*m + 4*m. Let t be n(8). Suppose 8*x = t*x + 4. Let u(z) = 8*z**3 - z**2 + z - 1. What is u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/7*f**2 + 0*f + 2\/7*f**3 + 0.\nAnswer: 2*f**2*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + 4 + (608\/(-12))\/(-8). Which is smaller: k or 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 3*sqrt(252)*5))\/sqrt(7))\/(sqrt(1200) - 6*sqrt(1200)*-5).\nAnswer: -3*sqrt(3)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 9:39 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 + (-8)\/3)*3\/(-6). Let z = -2 + 2.2. Which is the biggest value? (a) -1 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*a**3 - 88*a**3 + 23*a**3 + 21*a**3 + 20*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -32*b**3 + b**2 - b - 1. Let u be n(-1). Let r = u + 8. Let g = r - 37. Solve s - g = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2. Let i(t) be the first derivative of t**2 + 1. Calculate i(w(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -4 + 1 - (149\/40 - 9) and ((-477)\/(-168))\/(12\/(-8))?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*h**6 - 113*h**3*j**2 + 210*h**3 + 3*h**2*j**2 - 6*h**2*j + 2*h**2 + 95602*h*j**2 wrt h?\nAnswer: -600*h**3 - 678*j**2 + 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**3 + 9*y**2 + 6*y - 4. Let k be w(-8). Suppose -3*z + k = -2*z. Let u be (6\/(-18))\/((-10)\/z). Which is the closest to 2? (a) -0.1 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**3 - 15*d**2 + 12*d. Give i(14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from uapmpobpmoobpu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 353 and 2014924?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 - 33*j - 33. Let n be u(-1). Which is the fifth biggest value? (a) -0.2 (b) -4 (c) -0.06 (d) -2\/3 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 502974981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + a6?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10 or 2225\/248?\nAnswer: 2225\/248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 + 2*r + 2. Let a(i) = 5*i**3 - 11*i - 11. Suppose 4*s - 84 + 8 = 0. Let g = s - 21. Give g*a(l) - 11*d(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 5, m: 3, y: 4, b: 7}. Give prob of picking 1 r, 2 y, and 1 m.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1540422579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*q - 3*d + 10, -4*q - 4*d + 24 = 0. Find the first derivative of 15*r**q - 27*r**2 + 64*r**3 + 12*r**2 - 15 wrt r.\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/5 + 204\/60. Let f(k) = -17*k + 1. Let z be f(-1). Solve 0 = 2*a - 0*a - r - 3, -i*r = 3*a + z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -4*t - 2. Suppose -x - 4*a = 19, -a - 12 = 3*x + 2*a. Let d(o) be the first derivative of -o**2\/2 - o + 2015. Give x*v(z) - 3*d(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -115.64 less than -40015.6352?\nAnswer: -39899.9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 3*l + 0*l - 5 - 2*l + 29. Let u be c(-20). Suppose u*k = -5*z + 2*z - 19, -k = -4*z. Is z greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/3))**40\/((m*m**(-2\/3))\/m**9) assuming m is positive.\nAnswer: m**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 13 - 16 - y + 8. Suppose -30 = -6*c + c. Give g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7726497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-60)\/48)\/(65\/(-208)). Suppose 0*x + 63 = 3*x. Solve x = b*a + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 - 8 - 2)*(2*n + 286 - 286)*(n + 2 + 11*n - 5*n) to g*n**2 + p*n + o and give g.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 163\/10358 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9274?\nAnswer: 2, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.2 + 2.8. What is the nearest to -1 in 6\/7, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-40)\/12*(-6)\/4. Let g(y) be the third derivative of -y**4\/24 + 7*y**3\/6 - y**2. What is the lowest common multiple of g(x) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 7:10 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 28 + 8 = -15*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2471, 11086, 25451, 45566, 71431, 103046?\nAnswer: 140411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of p**6\/120 + 5*p**4\/24 - p**3\/3 - 2*p**2. Let s be m(4). Suppose s = 5*n + 17. What is the highest common factor of 143 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -169, -273, -379, -487, -597, -709?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/11, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 239285 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 3:28 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -6*v**3 + 6*v**2 + 10*v - 4. Let q(j) = 7*j**3 - 7*j**2 - 11*j + 5. What is 5*k(u) + 4*q(u)?\nAnswer: -2*u**3 + 2*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 24*u + 833. Let m be x(-34). Which is greater: 63 or m?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 29*f + 64 - 20*f - 10*f as c*f + d and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -87 - -61. Let o = u - -20. Do -5 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -5, 3*x - 5*c = 3501 - 347. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uqqu. What is prob of sequence qqu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 - u**2 - u + 5. Let i be l(-3). Let n be 2610\/65 + (-4)\/i. Suppose -7*c = c - n. Solve z + 3*j - 11 = 0, -c = -3*j + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.01 + 246.99. Let x = 242.65 - o. Let j = x - -8. What is j rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5147652 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 854171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**7*s*s)\/((s\/(s**(-3\/7)\/s))\/s*s))**(4\/17) assuming s is positive.\nAnswer: s**(184\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + m + 20. Calculate the remainder when ((-58)\/(-4))\/((-1)\/(-2)) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5655*a - 5675*a + 22675*a - 5658*a - 5651*a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r - 8, 2276724 = -3*k + 4*r - 566360. What is k rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 5, x: 7, u: 4}. Give prob of sequence llxu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 0*w - 3*w)*(-1453 - 1643 + 1002).\nAnswer: 6282*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3566 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 17 (b) -1 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1033 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.3832 - 0.068. Round j to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + 2. Let r be j\/3*12\/8. Solve 6 + r = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v - 3*z + 18, 4*v + 14*z = 9*z + 26. What is the nearest to 2\/5 in -2, v, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w. Let v be r(4). Let x be 2\/v*(-5 + 11 - -4). What is the second derivative of -5*q**x + 3*q - 4*q - 11*q - 8*q**5 wrt q?\nAnswer: -260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 356339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/q**(-10\/3))*q**(-5\/6))\/((q\/q**16)\/q**(-18)) assuming q is positive.\nAnswer: q**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4014 + 4863. What is the remainder when i is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13051211 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**2 - 4*v. Determine m(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 52 - 3 - -1 - 2 - (-6 + 13)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -2*o**3 - 13*o**2 - 6*o + 7. Suppose -z = -5*j - 32, 5*z - 216 = -2*j - 218. What is g(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.51 - 0.42. Let z(l) = 240*l + 727. Let k be z(-3). Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.004 in 2, 25, 1\/7, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(52) - (sqrt(468) + sqrt(13)))**2 + sqrt(91)\/(sqrt(56)\/(sqrt(8) - (sqrt(8) - sqrt(8)*-2))) + 2 + (-3 + sqrt(13) + 4 - -2*sqrt(325)).\nAnswer: 29*sqrt(13) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10*(299\/230)\/(-1))\/((-12)\/8*-2).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0045425 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9\/677 + -71953\/36558. What is the common denominator of z and -83\/200?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*u**2 + 3 - 3)*(2 - u - 2) + u**3 - 211*u + 32*u + 1126*u - 2*u**2.\nAnswer: 5*u**3 - 2*u**2 + 947*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - -1) + 3\/(-3). Suppose -4 = s*f - 4*k, -f + k - 3 = -2. What is the second derivative of -2*b + 18*b - 12*b - b**2 + f*b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -24\/11 (b) 55 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -64\/5 - -433\/35. Put -3, g, -4 in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -30 in -0.5, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-3)\/1 + 456\/117 + -2 and -57\/7.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 4, a: 3}. What is prob of picking 2 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -254, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 7*k**2. Let g(h) = h**2. Suppose 66 - 21 = -5*l. Let f be (-3 - l) + 6\/(-2). What is f*w(v) - 24*g(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 82*p**3 - p**2 + 5*p + 11. Is a(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -u - 23, w + 3*u = -0*u + 22. Suppose 0 = -n + 26 + w. Let m be (-150)\/(n\/(-18) + 2). Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do 20632 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 - 10*d + 14. Let i be w(11). Solve -2*h = -4*x + i + 1, 2*x = -3*h - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2 + 17*b + 94. Let y be z(21). Does 12 divide ((-28)\/y)\/((-2)\/(85 - -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -540894*a. Let m(d) = 2*d - 8. What is g(m(l))?\nAnswer: -1081788*l + 4327152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 - -1550.439692349.\nAnswer: 1550.739692349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -2823560 (base 10) to base 4.\nAnswer: -22301112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 118190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21 - -29. Suppose 0*g - 85 = -5*g - 5*v, 4*v = -g + 2. Suppose -3*i + 2 = -g. What is the greatest common divisor of i and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -68*l + 115*l - 97*l + 1400 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 161929890 divided by -78798?\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be (26\/(-4) + 4)*-2. Let c = t - -3. Suppose 44 = 3*i + c. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1622\/8 - 7\/(-28). Suppose 5*c - 52 = z. Suppose -8*u + c + 157 = 0. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3613246 to the power of 1\/2, to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.9 + 1.83. Let c = 0.33 - b. Let g = -2.9 + 3. What is the nearest to g in 0.3, -3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/210 and -139\/42366.\nAnswer: 1482810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f**(5\/2))\/f)\/f**14)\/(f*f\/(f\/f**(1\/3)))**(-1\/10) assuming f is positive.\nAnswer: f**(-341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 - p**2 - 7*p - 6. Let z(t) = t**2 - t + 3. What is the remainder when b(4) is divided by z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5648 = 7*y - 9899. Let k = y - 1082. List the prime factors of k.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 2*d - 4. Let g be f(3). Suppose -11 = -3*w + 5*p + 40, 5*p = -g*w + 9. Solve -r - 2*r = -w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**2 - 11*t + 17. What is f(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/594 and 95\/88.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 298158432 divided by -37269804.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 768769 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: Let y = -136 - -136. Which is the fourth smallest value? (a) 1\/6 (b) y (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(396) + sqrt(396) + 4 + -3)*2 - (-4 + sqrt(396) + (-1 + sqrt(396))*-2))**2.\nAnswer: 720*sqrt(11) + 29748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.9 + -1.1. Suppose 2*u - u + 5*y + 20 = 0, 4*u - 2*y + 14 = 0. Which is the closest to -0.1? (a) u (b) -4\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = -2*t + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.5, -3\/2, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 + 25*g**2 - 6*g - 136. What is k(-25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3642, 3638, 3632, 3624, 3614?\nAnswer: 3602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 - -7. Suppose -v - 179 = -5*b, 3*b - v = -2*v + 109. Let x = b + -30. Calculate the greatest common divisor of u and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -346 - -356. Let u = -5 + 11. What is the remainder when b is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 14 = -3*a + 3*h, -2*a + 2*h = -12. What is the highest common factor of 4 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzzzzzzzyz. Give prob of picking 4 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 90 and 486?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-27)\/(-6) + 4\/((-24)\/9). What are the prime factors of (1\/q)\/(7084\/3540 + -2)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 0, -127, -334, -615, -964, -1375, -1842?\n\"Answer: c**3 - 46*c**2 + 4*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(-2) + 26 + -3. Suppose -h - 45 = y. Let k be h\/(-17) - (-13)\/(-3). What is the closest to k in -0.2, -1, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2420) - sqrt(2420)*-3)\/(-3*sqrt(64) - sqrt(64)))**2 - (sqrt(15)*2*-2 + sqrt(15))\/(6*sqrt(6)\/sqrt(2)).\nAnswer: sqrt(5)\/2 + 605\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1010, -942, -874?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*q = -87 + 915. Suppose 0 = -3*h + 61 + 62. Let b = q + h. Solve b*i - 23 - 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2050597338 to the power of 1\/2, to the nearest integer?\nAnswer: 45284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*f + 17*f + 9 = 282 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**3 - 2*r**3 - 2*r**3)*(17*r - 159 + 159).\nAnswer: -34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2541 + 2539.593. Let p = y - -1.27. Round p to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 60*27.3\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + 14 + 11 - (4 - (1 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = x + 2. Let i(v) = v + 2. Let o be i(-5). Let u be 2*(o - 5\/(-2)). Do x and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77398273 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 660 and 148325?\nAnswer: 19578900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes after 1:56 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f*(f\/(f\/(f\/(f**(-5)*f))))\/f))\/((f\/(f*f**3))\/f)*f**1\/(f*f*f**(-1\/3)*f) assuming f is positive.\nAnswer: f**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00016888093 to 7 decimal places.\nAnswer: -0.0001689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**4)**34 assuming l is positive.\nAnswer: l**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0*((-2)\/6)\/(20\/30). Solve 9 = -3*g - 3*i, c = -4*g + 2*i - i + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17085*t - 64*t**3 - 17085*t.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10.19 - -10. Let i = l - -0.09. What is the smallest value in i, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 582199*c**2 - 2*c + 301725?\nAnswer: 1164398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -4*u**3 + 8*u**2 + 2*u - 4. Let i(r) = -r**3 + r**2 + r. Let j(n) = -5*i(n) + v(n). Let d be j(-3). Is (d - (-126)\/(-24))*-1636 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1053823531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (42 - 55) + (0 - -6) + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (1932\/(-36))\/(3\/(-18)) is divided by 89.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 711*s - 105*s + 487*s + (0 + 0 - 2*s)*(-2 - 3 + 4) + 1 - 1 + 8*s to w + y*s and give y.\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*r - 3*r. Let k = 14 + r. Let j be (k\/(-42))\/((-22)\/(-33)). Which is the second smallest value? (a) j (b) -5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*l - 67*l**2 - 122*l**2 - 6*l**2 + l.\nAnswer: -195*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1450543 - 1450543 - 24613*n.\nAnswer: -24613*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 - 6*a + 2. Let o be w(-6). Find p such that 5 + 21*p**2 + p**3 + 0*p**2 - p - 26*p**o = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 - 12*m + 30. Let r be f(9). Let w(o) = o + 0 - r + 6 - 1. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.58394 - -0.009.\nAnswer: -2.57494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-25))\/((-80)\/50).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 6068.\nAnswer: -1\/6068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 54699*m*u + 13*m + 11034562*u wrt m?\nAnswer: 54699*u + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -3828245 * -4\nAnswer: 15312980","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -37438*m - 6 = 9*f - 37432*m, 1 = -4*f - 3*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 - 9)*(3*a - 3*a + 2*a)*(5 - 4 - 3 - 1 - 4 + 3 + (-1 + 1 + 2)*(-7 + 3 + 2) + 4 - 2 - 1 - 2 - 5 + 5 + 4 - 3 + 0 + 0 + 5 - 1).\nAnswer: 104*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, k: 1, j: 1}. What is prob of picking 1 d and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - k - 2. Let g be l(0). Let p = 6 + g. Let w(x) = -4*x - 4. Let c(f) = -3*f - 3. What is p*w(j) - 5*c(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 5*f**3 - f**2 + 4. Let g be x(3). Suppose -5*c = -0*c - g. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(34)\/(sqrt(2) + (sqrt(72) - sqrt(2))) + sqrt(17) + sqrt(1700) + 0.\nAnswer: 67*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 652*t - 71061. Give y(104).\nAnswer: -3253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-420442\nAnswer: -126132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5480035 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 256834981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f - 2*f - 2*f)*(3*f**3 + 0*f**3 - 5*f**3) - 5*f**4 + 3*f**2 - 5*f**2 + 0*f**4.\nAnswer: -3*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.48 - -8.38. Let q = -7 + p. What is the nearest to 1\/3 in 4\/5, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 88181\/100 - 22014\/25. Find p such that s*p**2 + 1\/4 + 3\/8*p**3 + 9\/8*p = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 673 * 1.52.\nAnswer: 1022.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -10001001011 (base 2) to base 13\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 17 divided by 254758\nAnswer: 17\/254758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 15570*d*o - 16495985*d + 71*o wrt o?\nAnswer: 15570*d + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 17 (base 8) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 2:03 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 746*n - 9. What is the tens digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/(-20) - (-6)\/(-15). Let d = -242 + 244. Suppose v = 4*x - 3760, z*x - 2831 = -3*x - d*v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2217718 is divided by 4366.\nAnswer: 4156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**3 - 3*r**2 + 6*r - 279. Let i(u) = -u**3 - u**2 - 3*u. Calculate -2*i(w) - v(w).\nAnswer: w**3 + 5*w**2 + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -4, 2*o + 0*o + 11 = 3*u. What is the second derivative of u*d**2 - 4*d + d**2 + d wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*t - 2*q = 32*t - 10, 4*q + 20 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 420311 and 161?\nAnswer: 420150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a**4\/3 + 199*a**3\/2 + 441*a**2 - 9*a\/2 - 1323 = 0. Calculate a.\nAnswer: -294, -3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 7201522963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.8068 - -0.9068. What is the closest to o in 156, -3, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + 6 + (1 - (-17 + -82)) + 5 + -12?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2168, -2156, -2120, -2048, -1928?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(132)*-1)\/(sqrt(12) + (sqrt(24)\/sqrt(2)*1 - sqrt(12))) + (-4 + sqrt(891) + (-1 + sqrt(891) - sqrt(891)) + sqrt(891) - sqrt(891)) + -1 + -1)**2.\nAnswer: -112*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 3 = -l + 12, 0 = -2*l + 4*m - 6. Suppose -4*a + l*a + 33 = 5*s, -a + 28 = 4*s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0421*28478\nAnswer: 1198.9238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -11*c + 34. Calculate q(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3171526?\nAnswer: 2, 1585763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -8abd1 (base 15) in base 12?\nAnswer: -193551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 0.3 (b) 0 (c) 6 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ud when two letters picked without replacement from {m: 5, d: 2, u: 1, p: 1, f: 1, k: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h - 3*h = 10. Let k(d) = 3*d**3 + d**2 + 2*d - 2. Is 28 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of -7\/2*l**2 - 1\/3*l**3 + 5*l + 0. Differentiate u(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -184784352 - -69421.\nAnswer: -184714931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -32 - -33.5. Let i = 0.5 + -2.5. Let z = d + i. What is the closest to -1 in 5, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-6)\/15)*(-4)\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -400 (base 13) to base 15.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of m**7\/2520 - 5*m**4\/12 + 15*m**2. Let y(b) be the second derivative of k(b). Let t(v) = -8*v. Give y(t(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/3*(22\/6)\/(-11)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-139)\/((-22935)\/5) + 2\/176.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 92488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, d: 2, m: 1, v: 2, n: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 137 + -253 + 11 + 22?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3003 or -129186\/43?\nAnswer: -3003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of 0*b - 1\/100*b**5 + 0 + 0*b**3 + 1\/60*b**4 + 0*b**6 + 1\/1050*b**7 - 6*b**2. Factor s(c).\nAnswer: c*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6149 is divided by 836?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cvcv when four letters picked without replacement from {v: 5, c: 8, g: 5}?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 194144.9108 rounded to zero decimal places?\nAnswer: 194145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 12 = 6. Let p be (6803 - -11)\/((-1)\/(-10)). Suppose -66860 = -u*q + p. Round q to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1980 and 5079987.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -65*f**2 + 337*f - 1. Let b(q) = -3*q**2. Give z(b(n)).\nAnswer: -585*n**4 - 1011*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 383851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1\/5, 0, 2, 45\/7, 3\/7, 0.1?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 2*t + 9. Let a be w(-6). What is the tens digit of -1 - (a + -1*12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**2\/7 - 771160*x\/7 - 110166 = 0.\nAnswer: -1, 385581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -347, 3, 13.\nAnswer: -347, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 6:55 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3593541153.739955 + 3594329854.74. Let k = -788708 + u. Let p = -7 - k. Round p to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 1:23 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k - d - 646 + 655, k + 4*d - 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/3))**14\/((k\/k**2)\/(k\/(k\/(k*k\/k**(-2\/7)*k)))) assuming k is positive.\nAnswer: k**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 6*i + 8. Let n(k) = -7*k - 9. Let g(u) = 5*n(u) + 6*v(u). List the prime factors of g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 447118\/12 + 7\/42. Is (-2)\/14 + w\/42 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -43*t**2 - 207*t - 489. Determine o(-3).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -23 + -25?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 2 f when four letters picked without replacement from {x: 3, f: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + ((-2*sqrt(100) + sqrt(100))*4)\/(sqrt(20)\/(sqrt(20)\/sqrt(2))) + 2)*4.\nAnswer: -80*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 118 divide 100441364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*h - 123 + 111 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g + 496 - 997 + 501.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3253907t in grams?\nAnswer: 325390.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t = -h + 2, 4*t - 4*h + 988 = 976 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (462 - 529 + 1492)*(-1 + 2 + 0)*(-z + z - 2*z**2) as w*z**2 + l*z + b and give w.\nAnswer: -2850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of -1\/2*b**2 + 1\/4*b**4 - 1\/3*b**3 + 46 + b. Factor f(x).\nAnswer: (x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -5*z + 29 - 0, -5*g + 65 = 5*z. Solve -71*m + 3*p = -76*m - z, -2*m - 2*p - 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 + 10*h**2 + 8*h - 49. Determine c(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/s**(-1\/5)*s*s**13)\/((s**0*s*s)\/(s*s\/(s\/(s\/s**(3\/13))))))**18 assuming s is positive.\nAnswer: s**(18684\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-2\/7)*k\/(k\/(k*k\/k**10))*k*k*k**10*k*k**(1\/8) assuming k is positive.\nAnswer: k**(271\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*t**4 + 3*t**4 - t**4 - t**4 + 2*t**4 - 3*t**4 + (0*t + t - 2*t)*(2*t**3 + 6*t**3 - 3*t**3) to i + d*t**3 + n*t**4 + r*t + h*t**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 - 4*j**2 - j + 10. Let p be u(4). Suppose b + w - 3 - p = 0, 3*b + 2*w = 22. What is the smallest common multiple of 58 and b?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(171) - (sqrt(171)*1 + sqrt(171))) + sqrt(171))*1 - 2*-1*sqrt(171))\/(sqrt(324) - sqrt(324)*2 - sqrt(324) - sqrt(180)\/sqrt(5)) + -4.\nAnswer: -4 - sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 191523992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 902073?\nAnswer: 3, 300691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/147 and 127\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = 3*r - 1, -2*r + 4*t - 17 + 1 = 0. Suppose 3*q + q + 4 = 0, -3*v + 5*q = -32. Let z = v - 5. Calculate the greatest common factor of r and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3102\/235 + (-2)\/10. Solve 0 = 2*a - 4, 2*q = -q + a + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9052340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2054 + 30?\nAnswer: 2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -99*u**2. Let f(t) = -12*t**2. What is f(q(s))?\nAnswer: -117612*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5729972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2 + h + 6. Let k be m(-4). Let b = k - 13. Suppose 3*n - 25 = -b*s, 0*s + 5*n = 5*s + 15. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -521*s + 15741 = -1952*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 9:24 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1038031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -2*x - 904, 3*x = 134*w - 135*w + 444. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1*sqrt(612)*-1 + 3 + (sqrt(425) + sqrt(425) + (sqrt(425) + -6*(2 + sqrt(425)))**2 - (sqrt(425)*1*-3)**2).\nAnswer: 604*sqrt(17) + 6942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - 54. Let i(x) = 22*x. Let v(q) be the second derivative of -95*q**3\/2 + 117*q. Let c(t) = s*i(t) - 3*v(t). Let g(f) = 2*f. Calculate c(g(r)).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -19. Let k = -10 + t. What is the closest to -0.1 in k, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in fifty-two thirds of a hour?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*a**2 + 0*a**2 - 3*a**2 + (0*a - 2*a + a)*(-4*a - 2*a + 0*a) to p*a + b + d*a**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.7 - -1.7. Let t be ((-27)\/(-6))\/((-12)\/(-8)). What is the nearest to 0 in t, 5\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -2*t**3 + 19*t**2 - 25*t + 10. Let q be m(8). Let i(g) = -11*g**2 + 17*g**2 - 4*g**q + 6 - g - 4. Calculate i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, c: 2, i: 5, h: 8, y: 1}. Give prob of picking 1 y, 1 i, and 2 h.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 1 = k, k = -2*x - 2 - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u**21\/u)*u**(-1\/3)*u)**8)**26 assuming u is positive.\nAnswer: u**(-11440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.4 + 0.4. Let g = -0.2 + 0. Let u = g + 0.4. What is the nearest to k in 0, 4, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3457 is divided by 217.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - 46. Let d = o - -46.9932. What is d rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 + 7*s**2 - 7. Let a(j) = j. Let w(c) = -4*a(c) - h(c). Let n be w(-6). Let g = 15 - 11. What is the biggest value in -4, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {p: 6, u: 11, n: 2}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 54*z + 399 - 204 + 615 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 23 = 4*o, -3*z + 5*o - 14 = 20. What is the fourth biggest value in 0.5, z, -1, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12 + -10. Suppose -5*c = 0, 3*w + 5*c - 16 + 4 = 0. Suppose w*v - 34 = l*f - 0*f, 4*v - 3*f - 37 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 4*g = -5*g - 185, g - 1 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (26\/39)\/(3034\/111)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3991276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 9 - 13*(-18)\/(-27). Which is the closest to -0.1? (a) 1 (b) 4\/17 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 + 21*f**2 + 20*f + 11. Let j(k) = -k + 2. Let o be j(3). What is the remainder when w(-20) is divided by 6*(o + (0 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138*n - 134*n = 4*y - 104, -5 = 5*n. Solve 5*v + 0 + y = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003103 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 4 = 3*p, p = -5*b + 2*p + 27. Solve -1 = -b*r - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of l**5\/5 - 31*l**4\/2 - 14*l + 38. Differentiate q(b) with respect to b.\nAnswer: 4*b**3 - 186*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.19 - -10.19. Let j = -9.9999936 + k. Round j to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z + 3 - 3)*(0*z + z + 0*z) + (0 - 2 + 1)*(2*z**2 + 2*z**2 - 3*z**2) + 8*z - 8*z - 2*z**2 to the form h*z + a + p*z**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*s + 15*s + 30*s = 16*s - 1180 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 13) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 0*d - 6 = -5*v, -4*v + 2 = -d. Suppose -q + 8*q = v. List the prime factors of ((-2)\/(-7) - q)*21.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of -t**3\/6 - 9*t**2\/2 - 305*t. Give f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -350 = -4*y - y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 2*c + 14, k - 22 = -2*c - 3*k. Suppose q = -c*q. Put q, 1, 5 in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-96)\/60)\/(1*2). Let g = -145\/3 - -48. Let a = -10 + 10.2. What is the closest to g in x, a, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -3*y**2 - y + 6. Let z be n(-4). Let c = z + 2548\/67. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1571*f + 56384 + 6180 + 41363 + 17040 = 0 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the second derivative of k**4\/6 - 76*k**3\/3 + 1444*k**2 + 96*k - 7. Let o(g) = 0. What is g?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 592205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b8d (base 16) to base 6\nAnswer: 21405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6 minus -4123410?\nAnswer: 4123408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {j: 4, u: 3, m: 9, b: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -5*(3 + ((sqrt(343) + 1 + sqrt(343) - sqrt(343)) + sqrt(343))**2).\nAnswer: -6876 - 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18171769?\nAnswer: 7, 11, 235997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f - 2. Let p be (10 - 3) + (3 - 0). Let h(o) = 2*o**2 - 4*o - 2. What is the smallest common multiple of h(-3) and u(p)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 48318*q - 210 = 48328*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -10340, -10377, -10414, -10451, -10488?\n\"Answer: -37*r - 10303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*o**4 + 39*o - 199*o + 730*o**2 - 1548*o**3 + 943*o**3 = 0. What is o?\nAnswer: 0, 2\/7, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4376406 and 2612.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 488503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 128 = -3*u + 4*q, 5*u = q - 225. Let j = 366 + -382. Calculate the common denominator of u\/j*1 - 2 and -51\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(6 + -4) + -3. Let x be (-12)\/20 - t\/(-5). What is the second biggest value in x, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/7*s**3 + 5808\/7 + 1672\/7*s - 85\/7*s**2.\nAnswer: (s - 44)**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 141 + -124. Solve l*x = 20*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/5 in -3, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 38, 4, -2, 0 in descending order.\nAnswer: 38, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 7, g: 1, d: 5}. What is prob of picking 1 g, 2 d, and 1 x?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -165, -589, -1273, -2217, -3421, -4885, -6609?\n\"Answer: -130*m**2 - 34*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 3*y**2 + 7*y. Let a be (-4)\/22 - 4\/(-22). Suppose -h + 2 = 0, -2*i + i + 2*h - 2 = a. Let d(p) = -p**2 - 2*p. Determine i*c(u) + 7*d(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-16)*13 + 1)\/((83 - -246)\/1316)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**3 + 7*w**2 + 9*w - 4. Suppose -i = 5*u - 41, -7*u - 4*i = -3*u - 36. Determine z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzshzssszshzsszsszz. Give prob of picking 2 s, 1 z, and 1 h.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*i**4\/5 - 146*i**3\/5 + 3376*i**2\/5 - 2184*i\/5 = 0.\nAnswer: -39, 0, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -95085 divided by -10?\nAnswer: 19017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 57772927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do 130 and 3.78 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/12 + 184\/96?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 11*b**2 - 7*b - 10. Let t be d(10). Let f = 20 - t. What is the smallest common multiple of 14 and (3\/6 + f)*(-1 + 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 5, -3, 349, 0.4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (1355 - -2) + -55 + 55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -827 - -802.04. Let j = s + 25. Which is the closest to -1\/2? (a) j (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from hittihhqqiiithi.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, 0.3, -373, -1\/19 in increasing order.\nAnswer: -373, -1\/19, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 11227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i - 1. Let u(l) = -l**3 + 7*l**2 - 6*l + 1. Let h be u(6). Let s be y(h). Solve -s = m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14226 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.04 + 0.88. Let q = 59.92 + -60. Let i = q - s. What is the smallest value in -5, i, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 21807, 44436, 67069, 89706, 112347?\nAnswer: 134992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 26 - 3 - (15 - (37 + -42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**2 - 18*r + 39. Calculate g(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 + 2*m**2 - 3*m. Let y be x(-3). Solve 0*u - u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h - 5*h - 93 = -2*k, -2*h + 3*k = -49. Suppose -7*u + 6 + h = 0. Solve -u*p = -29 + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 43, 44, 87, 196, 395, 708?\n\"Answer: 4*q**3 - 3*q**2 - 18*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 times 547002?\nAnswer: -437601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27693627?\nAnswer: 3, 13, 179, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 - 1. Let l(n) = -2*n**2 - 3. What is g(d) + l(d)?\nAnswer: -d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 AM and 8:26 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 11.7256214 and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 339299203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8\/7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -123 + 122 + (2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 40 and 920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**3\/2 + 4399*k**2 - 1621792*k - 286054656.\nAnswer: -(k - 944)**2*(5*k + 642)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 153 = -4*f, 2*s + 3*s = 2*f - 87. Let n = 134 - 248. Let b = n - -118. Calculate the highest common divisor of f and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*o - 4*f = -4*o - 66, 5*f + 61 = 4*o. Let z be o\/4*(-22)\/121 + 1. Determine d, given that -z*d**3 + 0*d - 2\/11 + 6\/11*d**2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3642179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 162, 159, 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9229 = 5*s - 1066. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and 418\/235 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -6. Let u be (0 + (-4)\/(-8))*n. Solve -20 = -2*g - u*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q - 4. Let k be d(-2). Let t be (k\/(-6))\/(14\/245238). Let s = t - 116859\/20. What is the common denominator of s and 67\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.4 - 14.6. Let u = 15.1 + t. Let i = u - -0.9. What is the biggest value in 1\/4, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-262)\/16 - (-6)\/16. Let t(i) = i**2 + 13*i - 38. Calculate the remainder when 39 is divided by t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 147*v - 103*v - 1804. What is the least common multiple of v and 16?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 78443616*l - 291546259.\nAnswer: 78443616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 15245, 15246, 15247?\n\"Answer: c + 15244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aua when three letters picked without replacement from uaaauuauuuuuua.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 536 - 798. Let k = z + 264. Solve a = 3*i - 7 - 1, -k*a = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18 - 309*p**2 + 20 - 2 as h + q*p + j*p**2 and give j.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/42 and 41\/2907.\nAnswer: 40698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 4*s = -4*g + 12, -s = 0. Suppose -2*q - q - 2*z = -22, -3*q - g*z + 24 = 0. What is the greatest common divisor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u + 4. Let m be k(0). Suppose 2*o + m*h - 34 = 0, 3*h - 3 + 23 = 5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -17262.326 to the nearest 10.\nAnswer: -17260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -201003311011 (base 4) to base 3\nAnswer: -121022022010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1114*r - 12 = -1120*r. What is the closest to -1\/4 in 3, r, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 814079.\nAnswer: 7, 17, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -53*d - 1. Let z(v) = 330*v**2 + 6*v + 19. Calculate x(z(k)).\nAnswer: -17490*k**2 - 318*k - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 692645231 rounded to the nearest ten thousand?\nAnswer: 692650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 3*t + m + 118, 2*m = 8. Suppose -17 - t = -3*w. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o**2 + 3*o + 4. Let l be n(-1). Suppose l*i = -2*b + 2148, -2844 = -4*i - b + 5*b. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 66 = 36. Is -51 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 2*b + 2. Let f(x) = -37*x - 3. Let i be f(-1). Let t(p) = 7 + i*p + 31*p - 59*p. Calculate 2*t(j) - 7*u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 + 49. Suppose 5*d = b + i, 0 = -5*d + 2*b - 3 + 46. Let w(j) = 44*j**2 - j. Let u be w(-1). Calculate the highest common divisor of u and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 AM and 11:12 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -7*k - 130. Let o be r(-19). Solve -o*g - 8*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 94*p + 4. Let x be b(3). Let y = -171 - 0. Let n = x + y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38219 = 4*x - 38151 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-17 + 14)*(-39)\/9. Let h = l - 9. Let q = -1 + 3. Solve 5*i - h*y = -0*i + 40, 17 = -q*i - 5*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) -0.4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -107 = 7*k - 135 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 152.757 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1595770363.\nAnswer: 11, 8513, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 14, y: 5}. What is prob of picking 4 l?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -34, -51, -68, -85, -102?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2092 - -3412. What is the least common multiple of q and 1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 13398\/13456 + 3\/(-8). Is h > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (3373 - 3325) + (-4 + 4 - -1)*9*1\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151480582?\nAnswer: 2, 11, 6885481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -3 + (10 - (2 + -6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1896*o**2 + 943*o**2 + 952*o**2 - 1538)*(2*o + 3 - 3).\nAnswer: -2*o**3 - 3076*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 269 + -229. Calculate the least common multiple of q and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23071 - 7732.1.\nAnswer: -30803.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -22033 + -2?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**17*d**(-1\/3)\/d)**(-5\/11) assuming d is positive.\nAnswer: d**(-235\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 74*l**3 + 185*l**2 - 21*l - 72884237?\nAnswer: 222*l**2 + 370*l - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 - 9*d**2 + d - 12. Let t be m(9). Is 7\/((-14)\/(-2916)) - t\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -218*w - 705. What is the units digit of z(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -55.\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*o = 70*o - 139*o + 3*c + 49, 109*o + 3*c = -160 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60 + 28 + 32 + 9887*r**3 + 2342*r**3.\nAnswer: 12229*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 41*x**2 - 591 - 590 - 2*x**3 - 590 + 1773 in the form p*x**2 + w*x + h + j*x**3 and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 - 3. Suppose -5*b - g = -b. Sort -3, 5, b in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)*-2 + (sqrt(1088)*2)**2.\nAnswer: -6*sqrt(17) + 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (243\/(-54))\/3*-18\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5\/(-20))\/(1\/(-4)). Let v = 14\/261 + 25205\/2088. Find the common denominator of v and 2613\/(-252)*g + (-8)\/(-28).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - -2 - 6 - -3 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 + 2 + ((-232)\/32 - -6). Which is the biggest value? (a) p (b) 0.19 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13379 is divided by 12079?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 307692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -51862 + 51889 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 152.58429 months to millennia.\nAnswer: 0.0127153575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 240 = 2*w. Suppose 0 = 5*c - 5*j - w, -4*c + j = -0*c - 58. Calculate the highest common divisor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -4910, -19781, -44616, -79457, -124346, -179325?\n\"Answer: -7*a**3 - 4940*a**2 - 2*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 70 = -2*h, 3*h + 0*h - 4*i = -77. Let u = h - -123\/4. Let v(x) = x**3 + x**2 - x. Let k be v(0). Which is the smallest value? (a) k (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -670886 - 155501 = 111*d - 128*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1975, -3979, -5935, -7849, -9727, -11575, -13399, -15205?\n\"Answer: -a**3 + 30*a**2 - 2087*a + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 177 + -129 - (9 - -7) - -36\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119) + 2*sqrt(119)*1 + (sqrt(119)*2 - sqrt(119))*-4)\/((sqrt(504)\/((sqrt(63)\/sqrt(7) + sqrt(9) - sqrt(9)) + sqrt(9)))\/sqrt(8)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 100662 (base 9) in base 12?\nAnswer: 2a59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -26526040 and 3?\nAnswer: -79578120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, -3, 21, 4 in descending order.\nAnswer: 21, 4, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/216 and -125\/35136.\nAnswer: 105408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {f: 3, a: 1, u: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2 + k - 7. Let m = -111 - -114. Let x be c(m). Solve x = d - 0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (48\/32)\/((-9)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 618*o**2 - 199*o - 1921. List the prime factors of v(-11).\nAnswer: 2, 157, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 29211598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 255776 and 19488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that m**5 - 108*m**3 - 464*m**2 + 192*m + 2304 = 0.\nAnswer: -6, -4, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -109480 (base 13) to base 7\nAnswer: -3221260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 14575853 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 177*o + 7610. What is l(-43)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 3*h**3 - 9*h**2 + h + 9. Let l(t) = t**3 - 3*t**2 + 3. Let n(r) = 8*l(r) - 3*z(r). Calculate n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 169*w - 167*w = -35*f + 36*f + 51, -w + 4*f + 43 = 0 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5265472 + -16?\nAnswer: -5265510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.1? (a) 37 (b) 0.3 (c) -465 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let b = 153\/5 + -31. Let l = 2.5 + -0.5. Let u = 0 - l. What is the third smallest value in b, u, -3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2885977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -6.924451 to two decimal places.\nAnswer: -6.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 17 = -2*o, -2*o + 2 = -j - 3. Suppose -5*k - 5 = 5*t, -t + 5 - 2 = 3*k. Suppose -k*w - 1 = -j*f - 0*f, -5*f + 4*w = -1. Solve -h + 4 = -f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 3 = k. Suppose 0 = -j + 4, -6*j + k*j + 38 = 2*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1704 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*u + 0*h = 90*u + 5*h + 17, 17*u = -2*h - 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1802879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.52 - -13840.\nAnswer: 13839.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 5 - 77. Suppose 2045 = l*n - 31*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2589 - 1?\nAnswer: -258a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-7)*l\/l**(-1\/4)*(l**0*l)**(-40))**29 assuming l is positive.\nAnswer: l**(-5307\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**4 + 7*r**3 + 4*r**2 - 7*r - 6. Let i(o) = -o**3 + o + 1. Let f(p) = -i(p) - n(p). Factor f(c).\nAnswer: -(c - 1)*(c + 1)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -587? (a) 2 (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 10, 1\/4, -1\/6 in descending order.\nAnswer: 10, 1\/4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -30, 5, 2, 257 in decreasing order.\nAnswer: 257, 5, 2, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -17 greater than or equal to -6825\/422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 16*b**2 - 310*b - 935. Give d(-3).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -59, -82, -113, -152, -199, -254?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.06, 6, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the third derivative of b**6\/120 + b**5\/30 - b**4\/24 - b**3\/6 + 9*b**2. Determine q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.14807, 32, -0.2.\nAnswer: -0.2, 0.14807, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 778824 is divided by 70795?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -4404.9 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes before 9:07 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 14*j = 12*j + 6, -2*j + 4 = 3*q. Let p be 4 - (q + 5 - -1). Solve 2*a + a = x - 7, 5*a - x + 15 = p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 47*d. Let p(o) be the third derivative of -o**5\/60 - 4*o**3 - 32*o**2. Let s(l) be the first derivative of p(l). Give s(h(r)).\nAnswer: -94*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -939 * -0.0426.\nAnswer: 40.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/10)\/(153\/(-12)*(-24)\/30).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19845 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 121301355 (base 6) in base 14?\nAnswer: 441abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 6, 1, 86.\nAnswer: -4, 1, 6, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 61*o**2 - 14*o + 21. Let z be b(-8). Suppose -1620 = -2*h - u, -5*h - 4*u - z = -10*h. List the prime factors of h.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/51)\/g**(2\/21))\/(g\/((g*g**(-8)*g)\/g))**(-25) assuming g is positive.\nAnswer: g**(71380\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*g + 20*g + 3*t = 3, t = 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d**(-2\/7)\/d))\/(d\/d**(-4))*d**(1\/5)*d\/(((d\/d**(-5))\/d*d*d)\/d) assuming d is positive.\nAnswer: d**(-263\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of 8 + 1\/540*n**6 + 1\/36*n**4 + 10\/3*n**3 + 0*n + 0*n**2 - 1\/90*n**5. Let g(i) be the third derivative of t(i). Factor g(p).\nAnswer: 2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -196 + 200. Let n(m) = -1. Let g(k) = -k**3 - 4. Give j*n(t) - g(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.3, -4, 5\/78?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p + 5*l - 33, 5*l = 4*p + 12 + 5. Suppose -p*f + 4*w = 0, -f = -4*f + w. Suppose 5*i - 145 - 25 = f. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of -9*x**4\/8 - 10*x**3 - 33*x**2\/4 + 9*x + 7. Factor c(l).\nAnswer: -3*(l + 1)*(l + 6)*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-483*q + 289*q + 342*q)*(-q + 8 + 3 + 2*q) as v + r*q + w*q**2 and give r.\nAnswer: 1628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 20*q - 26. Let p(w) = -w. Let c(t) = j(t) - 2*p(t). What is the first derivative of c(a) wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, m: 2, a: 1, s: 2, p: 1, u: 2}. Give prob of sequence pu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 0.5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-12) - (-1185)\/27*(-393)\/(-524)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75*z**2 + 2 + 16 - 14*z + 0*z**2 - 42 + 15*z + 24.\nAnswer: 75*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b**3 + 17*b**2 - 44*b + 68. Determine k(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110) + 1*(sqrt(110)*-2 - sqrt(110)))\/(1*sqrt(40)\/sqrt(4)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 287 or 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -246, -448, -518, -450, -238?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-60362 + 13228 - 36316 - 48105)*(4 - s - 4) to y*s + p and give y.\nAnswer: 131555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 18*a**2 - 15*a - 15. Let p(l) = l**2 - l - 1. Suppose s + m + 4 = 6*m, -5*m = -5*s. Calculate s*f(x) - 15*p(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 134723 = 134723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t**2 + t + 1. Let w be y(-4). Suppose 26*o = w*o - 192. What is the least common multiple of o and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 2*v**2 + 5*v + 10. Calculate n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the second derivative of 5*q**4\/12 - q**3\/2 - 8*q**2 + 540*q. Let k be 10\/(-20) + (-14)\/(-4). Let c(a) = 2*a**2 - a - 5. What is k*n(p) - 8*c(p)?\nAnswer: -p**2 - p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -79*i + 3. Let f(g) = -2*g. Give x(f(p)).\nAnswer: 158*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 10:51 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 2:50 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -2*a**3 + a**2 + 2*a - 9. Let j(f) = 28*f**3 - 6985*f**2 - 30*f - 31. Let w(r) = -15*h(r) - j(r). Differentiate w(g) with respect to g.\nAnswer: 6*g**2 + 13940*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes after 7:33 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 141*p**2 - 46*p + 182. Is m(5) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {v: 2, m: 2, p: 1, q: 1, y: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 50, 0, 321.\nAnswer: 0, 1, 50, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*c - 58*c = 76*c + 3816 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - 12.73.\nAnswer: -12.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.01 - 2.01. Let h = -34 + 37.25. Let x = h + -0.25. What is the third smallest value in a, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(1*sqrt(72) - sqrt(72) - sqrt(72)) + 0)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 169 - 87. Let v = s - 14. Suppose 0 = x - u - v, -2*x - 4*u + 46 + 66 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 649379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -27650, -27446, -27178, -26846, -26450, -25990?\n\"Answer: 32*z**2 + 108*z - 27790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of z**8\/42 + z**5\/12 - 6*z**2. What is the third derivative of k(s) wrt s?\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 PM and 8:09 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t**3 + 23933*t**2 + 119686*t + 95752 = 0. Calculate t.\nAnswer: -4, -1, 23938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1*(sqrt(99) + -2*sqrt(99) + sqrt(99)))\/(sqrt(324)*2 + sqrt(324)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.52 - 5.48. Let b = 1.9 + -1.7. What is the third biggest value in -0.3, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4633437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2 - 21*v - 597. Let g be n(37). Which is the nearest to -1\/3? (a) 24 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 17*p + 40. Put 1, p, 5, -6 in increasing order.\nAnswer: -6, p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, s: 1, w: 1, q: 2}. What is prob of picking 2 q, 1 b, and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -2490624 - -0.5.\nAnswer: -2490623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) -3 (d) 1 (e) 331 (f) 0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -5*r + 15*r + 8*r**2 + r**3 - 8 - 11*r. Let t be b(-8). Let g be 7 + -1 + 1225\/(-200). Put t, g, -5\/2, 4 in descending order.\nAnswer: 4, t, g, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 155977908 to the nearest integer?\nAnswer: 12489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + -1. Let x(w) = -w**2 - 4*w + 6. Let u be x(t). Which is the closest to u? (a) -0.2 (b) -1\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2302 + -2298.5552. Let p = -0.0252 - h. Let m = p + -0.53. What is the closest to -0.1 in m, 1\/10, 0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25, -81, -165, -277, -417, -585?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2970, -11866, -26684, -47424, -74086, -106670, -145176?\nAnswer: -189604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -199 divided by -7.\nAnswer: 199\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/102 and -18\/11.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35)\/42 - -4 - 3\/2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -80 = 5*v - 2*b, v + 413*b - 2 = 417*b for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 106 divide 3625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121*v**2 - 18*v**3 + 0*v**3 + 357*v**2 - 235*v**2 - v**3.\nAnswer: -19*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 222 - 222010022?\nAnswer: -222002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-10\/3)\/z*z*z**(3\/23))\/((z**(-15)\/z)\/z**(-30)))**(-26) assuming z is positive.\nAnswer: z**(30862\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, -150578.4, 0.42.\nAnswer: -150578.4, 2\/7, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.8 + -3.2. Let t = 5.8 + q. Let r = -1 - -0.9. Sort r, t, 0 in ascending order.\nAnswer: t, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.22548 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 8:57 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:21 PM and 10:06 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 477 = -5*k, 100 = k - n - 4*n. Let m = -92 + k. Let j(t) = -28*t**3 + 27*t**m + t**2 + 3*t**2 - 5 + 0*t**2. What is j(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 6, s: 2, q: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185330125.\nAnswer: 5, 271, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (32 - 40 + y**2 - 5*y**2)*(-30*y - 2*y + 24*y) to v*y**2 + b*y + j*y**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 18355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -15*y + 39 + 134 + 54 + 30 + 88. Let x be d(23). Solve -3*r + 6*r - 12 = x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 8343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5584388 and 196849677.\nAnswer: 787398708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121480.\nAnswer: 2, 5, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*n**3 + 16*n**3 + 10*n**3 - 68*n**2 + 68*n**2.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (d**3 + 4*d - 4*d)*(6*d + 0*d - 5*d + (-4*d + 4*d - 2*d)*(3 + 0 - 4) - 2*d + d + 3*d).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 8 = -k, -5*k - y + 6 = -3*y. Let b(h) = h**2 + 2*h - 2. Let n(g) = -g**3 + 4*g**2 + 11*g - 11. What is k*n(a) - 11*b(a)?\nAnswer: -2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 211892273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-2*2*((sqrt(209) - -4*(sqrt(209) - -2*sqrt(209))) + sqrt(209) - sqrt(209) - sqrt(209)))\/((sqrt(1584) - -5*-1*sqrt(1584)) + -2*sqrt(1584)*-3).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49, -47, -45, -43, -41, -39?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z + 2*z - 3 - 2473*z**2 + 7 + 2445*z**2 to the form h + u*z + g*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 12271980079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -8043121, 1\/5, 1, 3?\nAnswer: -8043121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 382519556?\nAnswer: 2, 6991, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - 4*x + 5*n + 45, 4*n = -x + 24. Let v be ((-8)\/x)\/((-4)\/18). Solve -q = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1102376 is divided by 493?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 922 - 611. Let o = 5.954 - 5.854. Is c < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t. Let m be 4*3\/6 + -1. Let n be (6*2)\/(m + 1). Suppose -2*j - j = -n. Calculate c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8778 and 311353.\nAnswer: 20549298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 q when three letters picked without replacement from nlqdj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3121, -3126, -3131, -3136, -3141?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/(16\/36) - (1 - 2). Suppose -2*o + k = 2*m, 0 = 4*m + 5*o - 7*o - 26. Solve 2*y = -y - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -15) + -6 + 5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*v - 112*v + 3*t = 8, 2 = 5*v - 3*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 24*m = 182 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -218, -219, -222, -227, -234?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of v**8\/960 + v**5\/60 - 5*v**4\/12 - 8*v. Let j(d) be the third derivative of a(d). Find the first derivative of j(p) wrt p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10, 26, 44, 58, 62?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*g + 5*g - 3*g)*(2 - 4 + 0) + 3 - 3 - 5*g + g + 2*g - 7*g in the form r + l*g and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 13926841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 433140 divided by 216570?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2b8202b - -b?\nAnswer: 2b82038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -484.88998+0.613923\nAnswer: -484.276057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 96 = 8*x + 2*x + 2*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42 + 19 - 104 + 23 + 6*b + 15 + 13.\nAnswer: 6*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -29, -62, -93, -122, -149, -174?\n\"Answer: a**2 - 36*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1668041352 to the power of 1\/3, to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 - 0. Suppose -z = -t + 3. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 101450 - -24325?\nAnswer: 126105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15153*z**2 + 30757*z.\nAnswer: 30306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1914 + -1919. What is the fourth smallest value in v, -3\/11, -6\/7, -0.4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**2 + 2*x. Suppose -4 + 32 = 7*h. Let p = h - 7. Calculate r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 28 - 29.3. Let w = m - -1.1. Is w <= 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -4*w - 9. Let j(d) = d + 2. Let k be j(-7). Let l(m) = -3*m - 6. Calculate k*u(b) + 7*l(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-1*sqrt(187) + sqrt(187) - sqrt(187))\/(sqrt(33)\/(-2*sqrt(3)))*-1*4.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 17245 divided by 444\nAnswer: 17245\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -2*f + 190308, -59132 = -a + 3*f + 36042. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-8)*352\/(-3608))\/((-1)\/2)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*o**3 - 96*o**3 + 3*o**3 - 70*o**3 + 2.\nAnswer: -214*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 - q**2 - 1. Let r(d) = 3*d**3 - 2*d**2 - 2. Let a be (4\/(-10))\/((-2)\/(-10)). Let c be -9 - (-7 - (-8 + 16) - 5*-1). Calculate a*i(z) + c*r(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -19.6 + 9.8. Let j = h - -9.7914. What is j rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -33 - -37. Solve 5*q - 5*l - 10 = -5, 3*q - 6 = a*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 2 = -i - 3*w, 4*w - 4 = -4*i. Is (-67)\/(-3) - i\/12 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 - -121021401?\nAnswer: 121021400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -38*k**2 + 126*k + 17206. Give f(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9331 and 3038?\nAnswer: 130634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of q**8\/6720 + q**5\/20 - 2*q**2. Let p(t) be the third derivative of f(t). Solve p(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**3\/9 - 12566*f**2\/9 - 5703874*f\/3 + 945489886.\nAnswer: -2*(f - 383)*(f + 3333)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -447 - -735. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10111635 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*h**2 - 2*h**3 - 12 + 12 - 31*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1205310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -0.2, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001416 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -220*j = -238*j + 5328. What is the highest common factor of j and 3996?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 6*f**2 - 30*f + 19. Determine n(8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 72\/42 + (-2)\/(-7) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-14))\/(618\/(-86520)) - 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 174875653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 15 + -39 + 24 + (14 - 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-2)*y)\/y)**(-10)\/(y**(-18)*y**(3\/4)))**(-48) assuming y is positive.\nAnswer: y**(-1788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 265067704 to the nearest integer?\nAnswer: 16281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -57*r - 170. Let z be f(-3). Put z, -5, 8 in decreasing order.\nAnswer: 8, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (1*-1*sqrt(117) + (0 + sqrt(117))*-3)**2.\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*c + 15*c + 570. Is c less than or equal to -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + -1 - (164 + -175)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 499 is divided by 58.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*j - 9*j + 25664. List the prime factors of j.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**2 + 1 - 3 + c**2 + (6*c - 4*c - 3*c)*(2 - 2 - 3*c).\nAnswer: 4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110*g**2 - 252 + 106*g**2 - 215*g**2 + 82 + 83 + 87.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -71 + -10023?\nAnswer: -10114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 159636.\nAnswer: 2, 3, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 8*a + 352. Is h(0) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7274*t - 8. Let i(q) = 14541*q + 14. Give 7*b(y) + 4*i(y).\nAnswer: 7246*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**3 + 7*c**2 + 9*c - 6. Let h be m(8). Differentiate 3*k**4 - 41*k**h + 41*k**2 - 3 wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 >= 265\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -101, -87, -37, 49?\n\"Answer: 18*q**2 - 40*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Do -17\/44 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -2415*o. Let b(q) = 313*q. Determine b(d(c)).\nAnswer: -755895*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 - 12. What is the smallest common multiple of 735\/25 - (-21)\/35 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.31 - -0.01. Suppose 67*b + 183 - 55 = -73. Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w + 5*d - 26, 6 = -2*w - 4*d + 22. Solve -k + 8 = -5*t - 15, 3*k + 26 = -w*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 85921 and 78694?\nAnswer: 8420258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-20)\/10 + 2)*2\/2. Solve -3\/4*o - 3\/4*o**2 + q = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 455909 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.093 * 21.56\nAnswer: -2.00508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -199*j + 197*j = -105418. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/8*-1)\/(253\/92).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1463*l**3 - 1285*l**3 - 780*l**3 + 10043 + 4*l**3 + 98*l**3 wrt l?\nAnswer: -10278*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 3*k = -5*t + 15, -5 = t. Let w be 2\/k - 1662\/(-15). Let h = w + -56. Calculate the remainder when h is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 1336291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes before 10:22 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 0 + 0 - j. Suppose -s + 1 = -0. Let v = -12 - -13. Let z(b) = -2. Give s*z(i) + v*m(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 22732865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 512 and 11616.\nAnswer: 185856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve t**3\/9 - 343330*t**2\/9 - 13391473*t\/9 + 28156258\/9 = 0.\nAnswer: -41, 2, 343369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -9112*y + 85. Is l(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9607.3047 milliseconds to weeks.\nAnswer: 0.00001588509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28251, 113168, 254745, 452982?\nAnswer: 707879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l + 7. Let c be f(-5). Let k(u) = 2*u + 5. Let b be k(c). Let o(v) be the first derivative of -v**4 + v**3\/3 - v + 2. Calculate o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (13\/(-26))\/(1\/(-12)). Suppose -3*h - g = -36. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 219363 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 7*a**2 + a - 1. Let r(y) = 26*y**2 + 12*y - 14. Let d(p) = -r(p) + 4*u(p). Give d(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 15) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.02 - 0.12. Let i = -11.3 + 13.32. Let y = 0.02 - i. Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*y**3 - 1 - 654*y + 4 - 2 + 14*y**3 - 2 as l*y**2 + c*y + m*y**3 + k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 2\/9 (b) 6\/7 (c) -348 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j = -11*j + 85160. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and (63\/(-6))\/(-7)*(11 - -1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, -64, -130, -214, -310, -412, -514, -610?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes after 4:45 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/4 - 21\/(-12). Determine b, given that 0*b - n*b + 2*b**2 - 3*b - b = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -5*m - 2*j + 11, -j = -m + 7. What is the second derivative of -7*i - 288*i**2 - i**m + 288*i**2 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b + 11. Calculate the smallest common multiple of t(11) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -7*g. Let k(c) = -2*c - 3. Suppose 2*z = -3*w + 5 + 9, 4*w + 5*z = 28. Let t(a) = -2*a - 2. Let s(n) = w*k(n) - 3*t(n). Calculate d(s(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + s + 3 - s - 3*s + s + (-2 + 5 - 2)*(-4 + 4 - 2*s) - 1 + s + 2*s + 2 in the form n + c*s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 4*y + 3*y + (3 - 2 - 2)*(0*y - 2*y + 0*y))*(1 + 0 + 0).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (3 - 17) - ((178 - 125) + (15 - 2)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r**5\/23 - 2*r**4 - 212*r**3\/23 + 1316*r**2\/23 + 7414*r\/23 - 8470\/23 = 0 for r.\nAnswer: -11, -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/12*4 - 4. Suppose -1 - 3 = -q. Let a be 6\/q*8\/(-18). Which is bigger: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44 - 57 + 136 - 3*f + 10.\nAnswer: -3*f + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (12\/16)\/((-78)\/(-3640)). What is the highest common divisor of 1141 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3571, 80, 1 in decreasing order.\nAnswer: 3571, 80, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 515 - 516. What is the remainder when ((-102)\/3 + 4 - -4)*g is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes before 6:33 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 7*n**2 - 4*n - 1. Let j(y) = 3*y**2 + 2*y - 1 - 3*y + 2*y - 3*y. Let c(t) = -5*j(t) + 2*q(t). What is c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -61 + 14. Let x = -22 - s. Let w = x + -23. Solve 0 = -4*z + w + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-8 + 195*x + 10 - 769*x)*(2*x**2 + 0 + 0) in the form s*x**2 + r + j*x + d*x**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -6*y + 16 - y + 6*y. Let w be u(13). Let f be 72\/34 - (-76)\/(-646). Solve w*m - x = f*m + 9, -x = 2*m - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 123908 is divided by 135.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 - 2. Suppose 91 = x - 0*q + 2*q, 3*q + 309 = g*x. List the prime factors of x\/15 - (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 - 40*a - 37. Let y be w(-31). Let m = y - 234. Solve m*u + 4 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1, -5, 11\/95, 5?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 5*j + 144 = 1472, -2*c + 4*j + 888 = 0. Suppose -4*s + c = -0*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - 1. Suppose 9 + g = y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(62\/4) + 6555\/6417*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 52.66507 millennia to months.\nAnswer: 631980.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 3*p. Suppose w = -3*a + 36, -4*a + p*w = 3*w - 43. What is the first derivative of -y - 10 + a + y + y**4 wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*y**4 - 49516*y**3 + 24784*y**2 + 148560*y = 0 for y.\nAnswer: -6190, -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1.42900245 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be (148 - -24)\/((-7)\/(-42)). Calculate the greatest common factor of i and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 96542892 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of -q**2 + 38*q - 297. What is i(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1.197049kg?\nAnswer: 1197049000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3301640043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 5*a + 6, 0*p + 3 = -4*p + 5*a. Solve 2*f = -2*y - p*y + 9, 4*f - 2*y = -18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.4, 10, 5, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 4*s + 2. Let d be p(2). Suppose -3*x - 2*v + 32 = d, 0 = -3*v + 6. Suppose -r - 40 = -x*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 705436 from 474.\nAnswer: -704962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 9 = 0, 4*p - z = 2*z + 167. What is the derivative of p - 61 - 69 + 4*k wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 0 + m**2 + 4 - 13*m as i*m + v*m**2 + t and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 - 2 - -1 - -2. Let x be (f\/(-2))\/1 + (-13)\/(-26). Let b be (-6 + 15\/(-5))*x. Let a(s) = -s - 6. Give a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7966 - -8027.67. What is f rounded to zero decimal places?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - 6*x**2 - 4*x + 7. Let r = -24 + 28. Let p(k) = 5 + 2 - 5 + 5 - r*k. Let b be p(3). Give l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 58622\/6237 + -680\/77. What is the common denominator of r and -83\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3 and 7017.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -2*x - 10. Suppose 32*y = 27*y - 40. Determine q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) 8 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 17, 31, 55, 95, 157?\n\"Answer: c**3 - c**2 + 10*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 3*n - 396, -p + 528 = 3*p - n. Let i = -139 - -144. Suppose -i*q = -p - 98. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w - 1. Let b be i(1). Let h(g) = 3*g + 1. Let r be h(1). What is the units digit of r - (1 - (b - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -21*o**2 - 41*o. Let c(h) = -11*h**2 - 20*h. Let a(q) = -7*c(q) + 3*w(q). Find the second derivative of a(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2696 = 11*k - 6181. Calculate the remainder when k is divided by 136.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -38.5 + 38. Let x be (-1)\/((-10)\/12) - 1. Which is the biggest value? (a) 2\/7 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**3 + 219920*n**2 + 1247453072*n + 1872838054144.\nAnswer: 4*(n + 3098)**2*(n + 48784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 410 - 116 = -2*u. Let r = -122 - u. What is the remainder when 171 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2 (b) 11 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/56*-7)\/((-5)\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*a = -20*a - 4*r + 8, 3*a - 5*r = 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 328662577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -6556 smaller than -6556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = p + 106. Suppose 40 + p = f. Let a = f + -66. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -7*z**3 - 123*z**2 - 345*z - 62. Give f(-14).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -0.3, 885.\nAnswer: -0.3, 4, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 - (1 + (2 - -481)). Let h be (4 + 0)\/((-15)\/v). What is h rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 373 - 374. Let q = 7\/40 + -3\/8. What is the closest to g in 2\/9, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {l: 1, a: 2, r: 1, m: 1, f: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -17, 5, -4\/3, 0.4 in increasing order.\nAnswer: -17, -4\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be -10 - -3*17647\/21. What is the highest common divisor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f + 25. Let b(w) be the third derivative of -2*w**3 - w**2 - 86. Give -5*b(t) - 2*o(t).\nAnswer: 2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 38093 and 401797?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -19, -20, -21?\n\"Answer: -m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 458392.\nAnswer: 2, 11, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -4 + (4*(sqrt(14) + 3*sqrt(224))\/sqrt(2) - (sqrt(280)\/sqrt(20))\/sqrt(2)).\nAnswer: -8 + 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(567) - -1*(sqrt(567) + 2)) + (4*sqrt(112) - -2*sqrt(448)))**2.\nAnswer: 200*sqrt(7) + 17504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -2\/8641?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-117)\/54*9)\/(7 + -4)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 4 - n - n - 1.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 12809112179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 43 = -4*c, 44*f = -12*c + 39*f - 93 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2977 is divided by 2607.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.04? (a) 560 (b) -0.4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9662130 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -12*l**5 + 108044*l**4 + 3071860*l**3 - 8851740*l**2 + 3431912*l + 2239936 = 0. What is l?\nAnswer: -31, -1\/3, 1, 2, 9032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 - 640\/104 - (-810)\/26. Let z = v + -31. Which is smaller: z or 4\/27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 28699, 28890, 29079, 29266?\n\"Answer: -x**2 + 194*x + 28506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -6*x + 24*x + 6*x. Let z(i) = -i**2 - 23 + 58 - 20 - 15. Determine z(k(w)).\nAnswer: -576*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-90)\/(-72)*-221150)\/((-1)\/32). What is p rounded to the nearest 100000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1835 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -34\/7? (a) -0.2 (b) -5 (c) 0.1 (d) -1 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 897412549?\nAnswer: 11, 4597, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, y: 4}. Give prob of sequence hy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1202 - -1347. Calculate the remainder when a is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, c: 3}. What is prob of sequence ct?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) -0.1 (c) -1 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times 608\nAnswer: -121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q**(2\/5)*q)\/q*q)\/q**14)\/(q*q**(-2)*q)**(-1\/28))**(25\/3) assuming q is positive.\nAnswer: q**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 21385*c**3 - 309*c**2 + 168329541 wrt c?\nAnswer: 64155*c**2 - 618*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*b*d - 1580116*b - 74842188*d wrt b?\nAnswer: -2*d - 1580116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s**4\/2 + 48*s**3 + 62*s**2 - 168*s = 0. What is s?\nAnswer: -6, -4, 0, 14\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6.282 + -8.282. Let t = 175 - 179. Let s = -15 + 14.971. Which is the third smallest value? (a) s (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 1 - 2)*(c**2 + c**2 - 4*c**2) + (-c - 3*c + 5*c)*(-2*c + 2*c + c) + c**2 + c**2 + c**2 - 4*c**2 - c**2 + 3*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 15 (c) 0.2 (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-1049)\/(-2) - 16\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -83 or -6\/13?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -3, 60, 0.5, -45572?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -54 - -48 - (-1 - (-1 + -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4978.4187 + 4992.4186932. Let u = w + -14. Round u to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -14*p**2. Let i(a) = -11*a**2. Let k(g) = -18*g**2. Let r(t) = 5*i(t) - 3*k(t). Determine v(r(s)).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -5*v + 13. Let q(j) = j. Let c(b) be the third derivative of b**6\/60 - b**5\/30 - b**4\/4 - b**3\/3 - 2611*b**2 - 41. What is v*q(z) + c(z)?\nAnswer: 2*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 2726400 to the nearest ten thousand.\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 12 + 0 + -2 + -1. Let u = o + 3. Calculate the remainder when 33 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -19*s - 76. Let w be x(-8). Suppose w = v - 253. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 240215440, 240215441, 240215442, 240215443, 240215444?\nAnswer: 240215445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, i: 3, e: 3, p: 4, k: 4, v: 2}. Give prob of picking 1 u, 1 v, and 1 i.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2. Let w(k) = -k**2 + 38*k. Give w(v(a)).\nAnswer: -a**4 + 38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -544 + 568. Calculate the greatest common factor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 + -13 + 7 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 80*v**3 + 79*v**3 - 158*v**3 + 6*v**2 + 4*v + 7. Calculate d(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*l - l + 9*l)*(-4*l + 0*l + l) + 30*l**2 - 63 + 63 to r*l + d + s*l**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4328 - -4300. What is the nearest to 1\/4 in -0.2, -3, 4\/5, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**9*d)\/d**(-3\/4)*((d**(-5)*d)\/d*d)**9 assuming d is positive.\nAnswer: d**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 775, -2\/5, 25, -10 in decreasing order.\nAnswer: 775, 25, -2\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -v**3 - 3*v**2 - 23 + 25 + 4*v**3 to d*v**2 + w*v**3 + h + o*v and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 + 22 - (-1152 + 1145)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes after 1:34 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4.904 from 1997387737.5.\nAnswer: 1997387732.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 2\/99?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -23 + 35. Let p = m - 18. Let j = -5.6 - p. Which is the third smallest value? (a) -1 (b) 1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 95 and 57?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-2))\/3*12\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 2 + (-2 - (-2 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -7218.8, -2\/23, -23, -29?\nAnswer: -7218.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 3 - (-3 + -10 - (-7 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8988234 and 254406.\nAnswer: 979717506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-5)*b**(-3)*b)\/(b**2)**(-2\/3) assuming b is positive.\nAnswer: b**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 12825561, 12825558, 12825551, 12825540, 12825525, 12825506?\n\"Answer: -2*o**2 + 3*o + 12825560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes before 8:16 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2680 and 7236.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -28*m**5 - 24*m**4 + 330*m wrt m?\nAnswer: -560*m**3 - 288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 5*r + 41 - 16, 3*r = -9. Let w(y) = -7*y**2 + 2 - y + 5*y**3 + y + 2*y + 5. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*c - c**2 + 9*c)*(0*c**3 + c**3 + 4*c**3)*(49 + 131 + 59 - 60).\nAnswer: -895*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*a - 5*a + 2*a)*(-1 + 0 - 1)*(-164*a + 34*a**2 + 164*a) + (4*a**3 + 0*a**3 - 5*a**3)*(92 - 88 - 116) to c + x*a**2 + n*a**3 + k*a and give n.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*q**3 - 52*q**2 - 32*q - 22886 wrt q?\nAnswer: 6*q**2 - 104*q - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 0 (c) 85 (d) -0.4 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of -t**6\/40 - t**5\/30 + t**4\/24 - t**3\/6 - 5*t**2\/2 - 4*t. Let j(p) be the first derivative of u(p). Calculate j(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -2*a**2 + 4*a + 27. Let h(b) = b**2 - 13. Let m(k) = 5*h(k) + 2*x(k). Calculate m(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11 is divided by 8*1 + -10*2\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 74 + -75. Let y = 5.6 + -6. Which is the nearest to z? (a) 1\/2 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3401 (base 6) to base 8.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11.179 + -11.279. Which is the closest to 1\/18? (a) h (b) 0.3 (c) 0.7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*236\/(-30))\/((-2226)\/(-16695))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*z = -172*z + 193 - 860 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 631*v + 1126*v = -1095*v - 18*v - 266910 for v.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*1\/(-39)*32836. Let j = 842 + w. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -80\/31 greater than -3083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 - -6*148\/8. What is the greatest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/11)*b**11)**22 assuming b is positive.\nAnswer: b**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4701323 + 68.36534?\nAnswer: -4701254.63466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of 1\/2340*n**6 + 0 - 28*n**2 + 0*n + 3\/52*n**4 + 1\/130*n**5 - 4\/3*n**3. Let z(s) be the first derivative of f(s). Factor z(h).\nAnswer: 2*(h + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -56182b + -2?\nAnswer: -561830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*w + 1 - 6*w + 8*w.\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2717 is divided by 1341.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 0*k - 9*k**3 + k**4 + 25*k**2 + k - 24*k**2 + 2*k**3 as x + j*k**2 + d*k + n*k**4 + u*k**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 4*c - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -12793 = 46*q + 308*q + 19775 for q.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-1254)\/(-114) + (208 - -1) is divided by 119.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2268, -2263, -2256, -2247, -2236?\n\"Answer: q**2 + 2*q - 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from ahhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 0 + 4 = 0. Suppose -7 + 55 = h*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = b, 4*b - 3*m - 14 = -b. Suppose 0 = -5*d + 5*x + 15, -2*x + b = d - 2. Let w = 113 + -116. What is the third biggest value in d, -0.01, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**4 + 0*q**4 + q**4)*(-3 - 2 + 4)*(64*q + 89*q - 52*q).\nAnswer: -202*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3558.49559 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 8:22 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2263550 and 74244440.\nAnswer: 371222200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 minus -33.2?\nAnswer: 33.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*y + 2*y - 26. Let i = 2 + y. Let u be ((-4)\/6)\/((-2)\/i). Solve 3*a - a = 3*c - u, c = 4*a - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -76\/4485 and 14\/52095.\nAnswer: 677235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**3\/4 - 41031*f**2\/4 - 349197*f\/2.\nAnswer: 3*f*(f - 13694)*(f + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -91 - -95. Suppose -3*a = 3*b, -20*b + 16*b - 27 = -5*a. Sort o, a, 10 in descending order.\nAnswer: 10, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.01 (b) 5 (c) -2\/195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (339\/(-226))\/(3\/(-44)) and 8*1*(0 + 13).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -650368.95 to the nearest one thousand.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 323*i**2 + 439*i**2 + 320*i**2 - 1086*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -4, s - 44 = 3*d + 63. Suppose -2*y - 22 = -m, -y + s = 5*m + 22. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -528 divided by 132?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -h**4\/4 - 380063*h**3\/4 - 9028325294*h**2 - 63193621372*h = 0. What is h?\nAnswer: -190028, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -9*y - 3. List the prime factors of n(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 + 30*r**2 - 1222*r + 33. What is m(23)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2 - (-5 - (-3 - 5) - 10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 4. Let v be i + -3 + -1 + 3. Let o be 670001 + v + (-1)\/1. What is o rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 - 5 = 5*k. Let l(x) = x**2 - 18*x - 76. Let j be l(25). Let n be (3\/j)\/(k\/36). Which is the third smallest value? (a) n (b) 0.5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 99\/452 and -109\/129808.\nAnswer: 14668304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29173 - -0.590164.\nAnswer: 29173.590164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 - 8*p - 5. Let f be j(-7). Let x(q) = -5 + 3 + 2 - 5*q**f. Let n(h) = 15*h. Let d(l) = -4*l. Let b(w) = -22*d(w) - 6*n(w). Calculate b(x(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.019 and 2190.\nAnswer: -41.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6227131861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of w**3\/12 - 31*w**2\/8 - 51*w\/2 + 136. Determine p, given that z(p) = 0.\nAnswer: -3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from jdmjjmjmmjjmjddjjjd.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 4*l - 14 = 0, 8*p - l = 4*p + 7. What is the greatest common factor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -162, -324, -486, -648?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**3 + 9*s**2 - 8*s + 4. Let u be m(8). Suppose -u = 5*d - 3*d. Let i(r) = -3*r**3 + 2*r**2 + r. What are the prime factors of i(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 40 = -5*t + 23, -12*t + 146 = 5*k. Let o(q) be the second derivative of 0*q**2 + 0 - t*q + 1\/3*q**3. Let c(m) = -9*m**2. Give c(o(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q + 2*q**5 + 2*q + (3*q**4 + 3*q**4 - 4*q**4)*(-2 - q + 2) + q**2 - q**2 - q**5 + 2*q**5 - 3*q**5 + 3*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2277 - 7.122?\nAnswer: -2284.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1.75203 + -131.267\nAnswer: -129.51497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1366452121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-6)\/(-8))\/3 - 33320\/(-26656). Let -33\/2*c**4 - 30 + 96*c + 129\/2*c**3 - 231\/2*c**2 + o*c**5 = 0. What is c?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -5*r - 120. Determine z(-37).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 + -597559.\nAnswer: -597558.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 24 = -u, -3 = -0*c + 3*c. Let i(j) = j - 57. Let s(y) = -2*y - 1. Let p(d) = i(d) - 4*s(d). What is the hundreds digit of p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -46*a + 1348. Let k be l(22). Is 334 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4097 + -4098. Let c be (-2)\/21 + (-1)\/3. What is the closest to -15 in x, c, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 20670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-1) + (42\/3 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 0*t - 49. Suppose -2*v = y - t, -5*v - 6 = y - 127. Solve -5*h + v = -3*n, 1 + 2 = 4*n + 5*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -77 + q**2 - 5*q**2 - 64 - 31 + 3*q**2 to the form j*q**2 + z + w*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.31? (a) -3\/2 (b) -0.12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 3*b**2 + 50*b - 92. What is y(-18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(1053)*-3)**2 + 5 + sqrt(1573)*1 + sqrt(1573))*-6 + -2.\nAnswer: -56918 - 780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 90*z**2 + 9*z - 2. List the prime factors of r(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**3 + 4*i**2 + 2*i. Let k(c) = -2*c + 5. Let q be k(1). Let f(n) = 8*n**q - 3*n + 9*n + 9*n**3 + 11*n**2 - 14*n**3. What is -11*d(t) + 4*f(t)?\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 55*z**2 - 197*z - 3090. What are the prime factors of u(-16)?\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -70\/227 - -6137\/11804. Calculate the common denominator of r and -59\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -151 - -758\/5. Let a(f) = 2*f**2 + 8*f + 5. Let n be a(-4). What is the closest to 3.6 in -0.1, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 245507094.\nAnswer: 2, 3, 7, 19, 102551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 + 3*o**2 + 6*o - 6. Give m(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1804676389 a multiple of 11344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*m*v**3*w**2 - 312*m*w**2 + 49*v**3*w**2 - 49*v*w**2 with respect to m.\nAnswer: -4*v**3*w**2 - 312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 6 - 30. Solve x - 10 = t*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/687 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.264466um in millimeters?\nAnswer: 0.000264466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13*a + 15 + 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47031, 47019, 47007, 46995, 46983, 46971?\nAnswer: 46959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**1*y)\/y)\/y)**(-5\/8)\/((y*y**(2\/17))\/y*y*y\/((y**2\/y)\/y)*y) assuming y is positive.\nAnswer: y**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -6*b - 47. Let d be o(-11). Let p = 139 - 33. Suppose 3*m - p = 65. What is the greatest common divisor of m and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1320344312440 + -4?\nAnswer: -1320344312444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of 53*c**3\/6 + 763*c**2 + 2013*c. What is the derivative of s(g) wrt g?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/1274 and -137\/78.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/9, -5, 0.127?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**2 - 6*g + 18. Let w be x(-8). Suppose -w*t = -10 + 4. What is the smallest common multiple of t and (2\/(-4))\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 3 + -6 + -5 + 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 654 and 679506?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -5*m**2 - 17*m + 19. Let l be ((8442\/(-70))\/9 + 14)\/((-6)\/(-10)). Give y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 + 5*r**2 + 6*r + 4. What is i(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y**3 + 355 - 188 + 91 + 643.\nAnswer: 2*y**3 + 901","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2 + 19*c + 28. Give i(-20).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ulllulluuluullul. Give prob of picking 4 u.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sfdsdffsssss. What is prob of picking 1 f and 1 s?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.58 in 3, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -40767\/5 or -8153?\nAnswer: -8153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 1\/3, 134\/49, 0.2, 3\/7 in ascending order.\nAnswer: -0.3, 0.2, 1\/3, 3\/7, 134\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9505 is divided by 76.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 89\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -0.009575?\nAnswer: -0.009575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 392673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 469.757 * 33.\nAnswer: 15501.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-265)\/3 + (-1)\/(-3). Let g be (-4)\/10 - (-1 + 268\/5). Let n = g - x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 + 16bb92?\nAnswer: 16bb96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bzzp when four letters picked without replacement from pbpcpbppppzzzpppppp?\nAnswer: 13\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-414)\/4554)\/((48\/363)\/8).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -4 + sqrt(832) + 1 + sqrt(832).\nAnswer: -1 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*v**2\/19 - 29302*v\/19 - 36640\/19.\nAnswer: 2*(v - 3664)*(4*v + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 24 = -5*v, v - 24 = 5*m - 0*m. What is the remainder when 10 is divided by (2\/v)\/((-1)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 - (7 + (-44 - -22) - -25).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1788 - -2195. What is the greatest common factor of y and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 AM and 12:54 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of -4*c**3\/3 + 5*c**2\/2 + 2*c + 81. Let i(k) = -9*k + 4. What is 4*f(w) - 5*i(w)?\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 724 divide 4221644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j = -14355*t + 14354*t + 9, 104 = 4*t + j for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/24)*f)\/(f\/((f*f\/(f*f\/f**(1\/23)))\/f)*f*f) assuming f is positive.\nAnswer: f**(-1655\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -132 + a263?\nAnswer: a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -80362289 less than -21?\nAnswer: 80362268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -9 (c) -0.3 (d) 2 (e) 10 (f) -2\/3 (g) 436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -5890, 230, -4 in descending order.\nAnswer: 230, -4, -5890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/((r**12\/r)\/r*r)*r*r**13)**(6\/5)*((r**(-1\/4)*r)\/r)**(1\/11)*r**(-2\/11)*r*r**(1\/2) assuming r is positive.\nAnswer: r**(1341\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - 3\/4)*-12. Suppose 2*y - u = -y. Which is the closest to -1? (a) -2\/9 (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = 11*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 178 + 299 = 9*m. Suppose -9*x - m = -620. Calculate the remainder when 313 is divided by x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -26171 - -26761. What is the remainder when d is divided by 122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 3 + 4 - 2 - 88834*o.\nAnswer: -88834*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.16 + -0.1600021. What is f rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(13) + -1 + -2)**2 + -2 - (sqrt(13) + 2 + 5 + sqrt(13) + ((3*sqrt(65))\/sqrt(5))**2).\nAnswer: -104 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -3*p - 6. Let g(v) = 2*v + 5. Let z = 1 + 3. Let i(u) = z*g(u) + 3*b(u). What is the first derivative of i(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5.417298 decades?\nAnswer: 650.07576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 543 and -0.7.\nAnswer: -380.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 6*g**3 - 43*g**2 - 42*g + 63. Let y be f(-37). Is ((-2)\/5)\/2 + y\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 74 - 71. Let t be -1 + (5\/4 - 1). Let x be (-5)\/24 - 9\/(-27). What is the biggest value in x, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00052411778 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 5*d = -5, g - d = -4*g + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 52840 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20632?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i + 3. Let l be h(-1). Solve u + 7*s = l*s, 2*s = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2398, -9034, -20000, -35218, -54610?\nAnswer: -78098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n + 42395 - 43239 - 174828 + 0*n.\nAnswer: -n - 175672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*q**5)*q)**18\/(((q*q\/(q*q*q*q*q*q**(-1\/4)))\/q)\/q)**28 assuming q is positive.\nAnswer: q**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*n - 364 + 106 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 2 = 2*p. Suppose -5*m = 2*h - 40, -8*h = -9*h - 5*m + 25. Suppose -5*x + 3 = 4*y + 15, 5*y + h = -3*x. Sort p, -3, x.\nAnswer: -3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 232, 7144, -56 in descending order.\nAnswer: 7144, 232, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1.6, -0.643, -0.3?\nAnswer: -0.643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 4 + 3)*(-2*i - 3*i + 3*i) + 3*i - i - i)*(-3 - 2*i + 3)*(2*i**3 - 2*i**3 + 2*i**3 + (i - i + i**2)*(-i - 3*i - i)).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in -0.6, -0.3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 - (-8)\/(33264\/116358)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-12\/5)*t\/t**(-5)*t*(t**(-1\/18))**0 assuming t is positive.\nAnswer: t**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -292*j = -287*j - 12 - 33. What is the greatest common divisor of 594 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.39, 0.216, 1?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the third derivative of u**5\/80 + 3*u**4\/32 - 41*u**2. Let b(s) = 0. What is s?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 38 and 82?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 + 14. Let u be q\/6 - 2\/(-6). Suppose -g + 2*x = -0*x + u, 5*x - 2 = 3*g. Solve 0*l + g = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28 + 28\/(47 - 19)*3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 5*a**3 + 12*a**2 - 11*a + 4. Let j be h(-9). What are the prime factors of (-6)\/14 + j\/(-35)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*b*f*m*s + b*f*m - 19*b*f - 159202*b*m*s - 147*b*m + f*s + 56*m with respect to s.\nAnswer: -5*b*f*m - 159202*b*m + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + -134240311?\nAnswer: -134240301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x + 3*x - 4*x)*(-x - 2 + 2) + 14*x**2 - 20*x + 41*x - 20*x.\nAnswer: 16*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 10*j + 16. Let d(x) = -x**2 - 45*x - 475. Let c be d(-29). Calculate v(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -283 = -51*q + 23. Solve 5*w = -20, 5*w + 14 = -q*b + 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 19739 and 19739 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j**2 + 137217910*j - 941437741238405 = 0. What is j?\nAnswer: 13721791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*g = 21*g - 30. Solve -g + 2 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -j - 1. Let w = 2 - j. Let q be ((-146)\/36 - -4)*(-9)\/3. Is w <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 74*n**2 + 315*n - 232. What is p(78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 PM and 2:30 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27321974 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 378 is divided by 128?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1.27 or 2\/3?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1197632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -0.12, 2065 in increasing order.\nAnswer: -0.12, 6, 2065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -172602 (base 8) to base 7\nAnswer: -351144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 135 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/2*-4 - (-2)\/(-2). Suppose r + 6*d = o*d + 10, -5*r + 30 = 5*d. Solve 4*i + 20 = -5*j, 4*i + 4 = -2*j - r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -720071 divided by -720071\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -4452 (base 9) to base 4.\nAnswer: -303113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 22405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, z: 5, c: 3, i: 9}. What is prob of picking 1 i and 2 z?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 348 + -229. What are the prime factors of n?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5665)\/(-412) + (-1 - 13)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (264\/(-110) + 0)*(5 - (-5)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86604*o**2 + 230178*o**2 + 585679*o**2 - 126574*o**2.\nAnswer: 775887*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 + x + 0*x + 0*x**2 + x**2)*(-121*x - 27*x + 22*x).\nAnswer: -126*x**3 - 126*x**2 - 1134*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l - 5 = -5719*j + 5720*j, -2 = -2*l - 2*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -377 + 599. Let q = -241.6 + n. Let a = q - -20.63. Round a to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169513 is divided by 72?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 188.62 + -93.62. Let s = -1.9 + 92.9. Let x = f - s. What is the fourth biggest value in -2, -3, x, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -14*r + 368. What are the prime factors of n(-62)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -j + 48*b = 25*b + 26*b + 8 - 1, -3*b = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 2*b + 6 = 0, -4*m = 2*b - 7*b - 18. Suppose 4*y - 27 = -l, l = m*l - 4*y - 59. What is the remainder when 75 - (1 + -2 - 4) is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**37\/(h\/h**(29\/4))*(h**(-13)*h*h)\/(h\/(h*h\/(h*h\/h**10)*h*h)*h))**4 assuming h is positive.\nAnswer: h**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1326 and 10694619?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 8:57 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -19171 divided by -15204\nAnswer: 19171\/15204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 i, and 1 v when three letters picked without replacement from {h: 1, u: 1, g: 2, v: 1, i: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -s**3 - 17*s**4 - s**2 + 42*s**4 - 21*s**4 as q*s**3 + b*s**2 + y*s + d*s**4 + m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-27556328)\/3*(-7)\/((-98)\/21). Let m = 21978164 + w. Round m to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4704 - -3?\nAnswer: 4707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 31 - 23. Let f be (-4)\/(-18) + (-191)\/9. Calculate the lowest common multiple of p and f\/(3\/(-1)) + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2\/85, -0.1, 0.2, 1 in decreasing order.\nAnswer: 3, 1, 0.2, 2\/85, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30502, -61060, -91676, -122350, -153082, -183872, -214720?\nAnswer: -245626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pp when two letters picked without replacement from {t: 3, z: 2, p: 4, g: 2, m: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 120*m - 354. Give f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14999130 is divided by 326068.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (72\/(-9) - -12)\/(32 - 31)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from rcrrxrprxprpv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 5 = -5*h - 69, 0 = -5*h + 2*t - 66. Find the common denominator of -27\/8 and ((-356)\/h)\/((-16)\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j - 251779 = -202*d + 201*d, -3*j = 2*d - 503710. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 529787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d + 6. Let l be m(-6). Suppose 4*i = 2*f - 12, -4*i - i - 10 = l. What is the third derivative of 2*u**f - 2*u**4 + 5*u**4 - 3*u**2 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -41560 (base 8) to base 13\nAnswer: -7b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(132)\/(sqrt(6)*-2) - -1*sqrt(1078))\/((sqrt(4)\/sqrt(2)*5 + sqrt(2))*-1).\nAnswer: -5 - 13*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 38729657 + -31.4.\nAnswer: 38729625.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000004772 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r**3 + 0*r**3 + 0*r**3 + 2*r**3 + 0*r**3 - 3*r**3 + (0*r**3 + 0*r**3 - 2*r**3)*(-1 - 1 - 3) to the form n + b*r + v*r**3 + c*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**3 + 7*v**2 + v + 5. Let a be t(-7). Let b be a\/(14\/(-607)) - (-2)\/7. Let h = 176 - b. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2 - 7*i - 5. Let l be f(-2). Solve l*a - 4 = -29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15 greater than or equal to -0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 42860920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 105 = -5*b, -559585*b - c - 21 = -559584*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 38c (base 15) to base 9\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -2*g**2 - 13*g + 1607. Calculate w(-32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 8:02 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1295638, 5182567, 11660788, 20730307, 32391130, 46643263, 63486712?\n\"Answer: s**3 + 1295640*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*d - 233 - 289 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of s**6\/180 + s**5\/40 - s**3\/3 + s. Let u(y) be the second derivative of w(y). Find the second derivative of u(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2\/9, -1, 2\/5929831 in increasing order.\nAnswer: -2, -1, 2\/5929831, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*d**2 + 13 + 11*d**2 - 15 + 6*d**4 - d**3 - d**3 + d to c*d + h*d**3 + p*d**4 + a*d**2 + i and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 1 - 5)*(-w - 2*w**2 + w) + 0*w**2 + 6*w**2 - 2*w**2 to q*w + y*w**2 + l and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -12340*i + 925 = -12303*i for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 2.93008 tonnes?\nAnswer: 2930080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 4*s - 7 = -0, 0 = -p - s + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3.588 times -35.4?\nAnswer: -127.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/4))**(-1\/15)\/(t*t\/t**6)**(-11\/2) assuming t is positive.\nAnswer: t**(-1321\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 5 - 21 = 0. Find the common denominator of 186\/l*3\/(-6) and 31\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 7*y - 8. Suppose 3*m - 37 = -2*w, 4*w - 10 = -w. Let d(s) = -m + s + 2 + 7*s. What is -5*d(g) + 6*u(g)?\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 705 is divided by 132.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -9216934 less than or equal to -2.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, -19, 5, -978, 3.\nAnswer: -978, -26, -19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 875 + 22618?\nAnswer: 23604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, z: 6, y: 2, t: 1}. Give prob of sequence jyz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 39743 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1518449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*o + 472 = -164*o + 1422 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 - 4*t + 2. Let j be r(6). Let o(c) = c + 43. What are the prime factors of o(j)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30723 + -1.5?\nAnswer: 30721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -605, -1205, -1805, -2405?\n\"Answer: -600*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.744? (a) 3 (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2036 + -343. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -40 * 4\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 0*h + 4*h**2 + h**3 + 8*h**3 - h - 2*h**2 + 7*h**3 as v + z*h + j*h**2 + k*h**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 3*k**2 + 10*k - 13. Let h(o) = o**2 + 5*o - 6. Let p(b) = -5*h(b) + 2*z(b). Give p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2570746\/5 or -514149?\nAnswer: -2570746\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10857 + -10859. Let d be 0\/(2 + -3 + 0). Let r = -2 + 3. Put r, d, p in descending order.\nAnswer: r, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/15, 0.4, 3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29096*x - 15*x**2 - 29096*x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1114*q**2 - 424*q**2 - 546*q**2 - 382*q**2.\nAnswer: -238*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 43\/3 in -0.5, 35, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 10\/(-6)*(-3888)\/540. Solve a = 4*t + 20, 5*a - 24 = 4*t + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9571549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01788 in -0.4, -962, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 673504189 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: Sort 4, -355902, 3.\nAnswer: -355902, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i + 10*i = 210. Let h be i + -12 - 3*1. Suppose -5*j + h = -0*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10.987553 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**3\/7 + 6652*s**2\/7 + 221544*s\/7.\nAnswer: 4*s*(s + 34)*(s + 1629)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19814 = -62*w + 235512. What are the prime factors of w?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 5554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(6\/(-7))*-9*5\/15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -59*u**2 - 19 + 15 + 270*u**2 + 9 to v + n*u + y*u**2 and give y.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 215563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 6*t - 2*t. Let q(l) = -7*l - 7*l + t*l + 4*l. Let z(s) be the third derivative of 7*s**5\/60 + 4*s**2. What is q(z(m))?\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 197 in -0.54, 2, 2\/9981?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*b - 39*b + 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/11)*x)\/(x\/(x**7*x)*x)*((x*x\/x**0*x)\/x)**1 assuming x is positive.\nAnswer: x**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -8*r**2 + 13*r - 2. Let y(a) be the first derivative of -4*a**3\/3 + 5*a**2\/2 - a - 192. Let n(i) = 2*d(i) - 5*y(i). Give n(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 216336, 432660, 648982, 865302, 1081620?\n\"Answer: -n**2 + 216327*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (36 - (13 - -9) - 22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 20.93466km to meters.\nAnswer: 20934.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j + 12. Let y be n(-9). Suppose r + 170 = y*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, -1\/3, 164, 25.88 in decreasing order.\nAnswer: 164, 25.88, 3\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -672, -682, -704, -744, -808, -902, -1032?\n\"Answer: -o**3 - 3*o - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2559 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/180 and 4 + (-1014)\/9*2\/80.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3942 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -0.1 (c) -4\/5 (d) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(198) + sqrt(198)*-1)\/(sqrt(33)\/sqrt(3)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 13541045033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -24362 or -515?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be -7 + 260\/35 + 9\/(-21). Solve x = -4*f + 192 - 212 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y**5\/17 - 18*y**4\/17 - 2*y**3\/17 + 18*y**2\/17 = 0 for y.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2720146 nanoseconds to milliseconds.\nAnswer: 0.0000002720146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 84\/4217, -0.5, 4\/3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83, -96, -123, -170, -243, -348?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**2 - 6*d - 3. Let z be q(-5). Let y be (0 - (-106)\/8)*-6. Let j = y + 81. Which is greater: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/4 - (-9)\/84. Let c = u - -9\/14. Factor -1\/2*w**2 + c - 1\/2*w + 1\/2*w**3.\nAnswer: (w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - -1. Let p be -2 + 8 + (-2351)\/417. Let t = p - 4\/139. Which is the biggest value? (a) -4\/5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zgjfktjgfkzk. Give prob of picking 2 g and 2 z.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -12692816 bigger than -12692794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*(-112)\/(-192)*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1010010011101110 (base 2) in base 10?\nAnswer: -42222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10986 - -10974. Let l = -0.19 + -0.31. Which is the third biggest value? (a) p (b) -8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 1938473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be -6*328\/32 + 1\/(-2). Let d = 125\/2 + p. Factor -d*j - 3\/2*j**2 - j**3 + 0.\nAnswer: -j*(j + 1)*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 3*m + 1. Let i be p(-2). Let h = i + 11. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 65\/(-26)*(-196)\/5. Let p = c + -93. Solve -2*v - p*u - 14 = -0*v, 3*v + 2 = 2*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - d + 35 = 3*w, 4*d - 5 = w. Suppose l = 3*z - w, -4*z + l = 3*l - 30. Solve 2*n - z*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20 or 2488\/129?\nAnswer: 2488\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**2 + 3*d - 2. Let u be (-3 + 14\/6)*-96. Let c = -31 + u. Let b be c\/(-9) + 4\/6. What is f(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q*q**0*q)\/q)\/q)**23*q*(q*(q*q**(-5))\/q*q)\/q*q**(-5) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -476, -459, -442, -425, -408, -391?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -27*i - 33054 + 102444. Is i < 2571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -23410 > -23375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.03922 + -0.13922. What is the biggest value in -15\/4, w, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -120112 (base 6) to base 16\nAnswer: -28ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5595852827 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2.27*0.5\nAnswer: 1.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3955 is divided by 1966.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 153515*d**3 - 133760?\nAnswer: 460545*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/1394472 and 89\/17072?\nAnswer: 30678384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31015?\nAnswer: 5, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 15208176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 249894264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22622 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 421268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -6e11d7 (base 15) to base 9\nAnswer: -10820384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 0 (c) 64 (d) 0.3 (e) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.13 - -0.09. Let f = 0.104 + n. Round f to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2292, -2314, -2380, -2514, -2740?\n\"Answer: -4*g**3 + 2*g**2 - 2290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + ((-40)\/(-120))\/((-1)\/33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-262 + (11 - 20))\/((-2)\/(-4)). Let y = n + 1262. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 75, 69, 49, 15, -33, -95?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 PM and 6:06 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 710 smaller than 710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 359725\nAnswer: 4\/359725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (24\/15)\/((-6)\/210*-7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3677353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together -329 and -4.59.\nAnswer: -333.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 divided by 484.\nAnswer: 5\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -45 - (-2452 - -2426).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(((g**(-5)\/g*g)\/g)\/g))**(-13)*g**21\/g**(-14) assuming g is positive.\nAnswer: g**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 36 + 17*b - 85*b + 0*b**3 + 3*b**3 + 28*b**2 + b**3.\nAnswer: 4*(b - 1)**2*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) 0.04 (d) 1\/3 (e) 0.056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -113 = -5*o - 38. Suppose 14*n - o*n = -2. Calculate the common denominator of -58\/7 and -3 + n\/36*46.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 149 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -513 and -748?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 484 divided by -7.\nAnswer: -484\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 - -11. Suppose o*b - 16 - 16 = 4*k, -3 = 4*b + 3*k. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -51.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*f - 6*f = 30. Suppose -8*l + f*l - 12 = 0. Put l, -1, 0 in decreasing order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 2*r - 15. Suppose -r = -5*f + 35. Let t be (18\/15)\/((-3)\/f). What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 235 = 5*m - 5*s, -s + 4*s + 6 = 0. Suppose -5*x = m + 165. Let b = -36 - x. What is the smallest common multiple of b and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -8.29153 and -11846928.\nAnswer: -11846936.29153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the second derivative of -17*l**4\/6 + 14*l**3 + 1808*l**2 - 11*l - 128. Differentiate v(p) with respect to p.\nAnswer: -68*p + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**4\/7 - 46*x**3\/7 + 248*x**2\/7 - 384*x\/7.\nAnswer: 2*x*(x - 16)*(x - 4)*(x - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, b: 1, o: 3, x: 3, z: 3, w: 4}. What is prob of picking 2 w, 1 b, and 1 o?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 20 = 5*z, -3*z + r = 4*r + 12. What is the closest to -0.04 in -2\/7, -0.3, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5194501049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15326 and 2170860?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36633335 - -36633030.99819. Let j = -304 - m. What is j rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/3 + 402106*a - 121266926427.\nAnswer: -(a - 603159)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 51449940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together -288585 and -254.09.\nAnswer: -288839.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -4*w + 1282, -3*w + 3*s = -1386 + 423. Let g be -2 + 155\/70 + (-8)\/((-3024)\/3699). What is the highest common factor of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -851\/38288?\nAnswer: -851\/38288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes before 6:58 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -90*r + 90*r - 14*r**4 - r**4 + 0 + 0 + (-3 + 3 + 2)*(-3 + r**4 + 3) + 39*r**3 + 30*r**3 - 71*r**3 + 150*r**4.\nAnswer: 137*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 2897015393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -6 + (3 - 1) - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*y + 54*y - 1296. Let h(v) = -14*v - y*v - 15*v + 54*v. Let l(o) be the third derivative of 19*o**4\/24 + o**3\/2 - o**2. Give h(l(j)).\nAnswer: 19*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -113*n**2. Let s(t) be the first derivative of -t**3\/3 - 71. What is o(s(i))?\nAnswer: -113*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 626539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 PM and 9:33 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 192808.143 rounded to the nearest 100?\nAnswer: 192800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -5*w - 15. Let f = 4 - w. Let o(p) = 2*p**2 + 6*p + 6. Let r be o(-3). Calculate the greatest common divisor of r and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) - sqrt(1300)) + sqrt(13) - sqrt(13)) + 0.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 134458105?\nAnswer: 5, 3313, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c + 2. Let a be q(6). Does 16 divide (a + 1 + -71)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l - 4*l + 0*l)*(243*l**4 + 249*l**4 + 330*l**4).\nAnswer: -822*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 59470020 and 4860.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 - 16*c**2 - 16*c - 15. Let a be t(-15). Suppose a = -6*q - 29*q + 435365. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j**2. Let n(p) = -595*p**2. What is n(s(w))?\nAnswer: -2380*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4448 and 35217040.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wubmmrmmbwuwmmmumuu. What is prob of picking 1 r and 1 u?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 26*h - 81. Let a(s) = 2*s - 17. Let r(l) = 5*a(l) - u(l). Let z(g) = 1. What is -r(t) - 3*z(t)?\nAnswer: 16*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -241975390 rounded to the nearest 1000000?\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2492 - 3734. Let z be -2 - 3\/(p\/(-14261)). Let f = z + -11\/207. Find the common denominator of 47\/2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 92 = 4*v, 90*v + 4*z + 58 = 93*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 + 17 + (-7)\/14 + 18\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 10 = -5*j, 3*j + 9*l - 7*l - 22 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13662300 - 8828619246898\/646203. Let x = 4780609784\/3231015 + o. Let c = -1485 + x. What is the common denominator of c and -43\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8de23 + 5?\nAnswer: 8de28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -4*b**3 + 28*b**2 + 14. Calculate x(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -18963*d - 1554951. What is f(-82)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13946*t - 14192*t - 984 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 5*n**3 - 1367*n**2 + 18*n + 10. Let o(d) = -11*d**3 + 2734*d**2 - 39*d - 22. Determine 13*m(l) + 6*o(l).\nAnswer: -l**3 - 1367*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 3*m - 9. Let v be (-3 - -3 - 9)*3\/9. Let o(j) = -j + 4. Determine v*u(q) - 7*o(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 131 = -4*m + 1991, 0 = 2*m - 2*s - 1060. Suppose n = -3*i + 90, 5*n = -i - 123 + m. What is the greatest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 - 2*f + 3. Suppose 2*o = o - 2*r, 3*o + r - 10 = 0. What is i(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154712215639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 28, 63, 108, 169, 252, 363?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 + 14. Let x = -8 - z. Suppose 5*r = 66 + 4. Solve -4*f - q = 2*q - 22, x*f - q = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1184 + 1184 - 52*c)*(2*c**3 + 0*c**3 - c**3) + (-3*c**2 + 4*c**2 - 6*c**2)*(3*c**2 - 4*c**2 + 4*c**2).\nAnswer: -67*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the first derivative of -h**3\/3 - h**2 + 13292. Let k(m) = -92*m. Determine d(k(o)).\nAnswer: -8464*o**2 + 184*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -17.31 and -1829.\nAnswer: 31659.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 1040 + 1046 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**2 + 194068*x\/5 + 77628\/5.\nAnswer: -(x - 38814)*(5*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2*a**2)*(a**2 + 0*a + 0*a) + (0 + 0 + a)*(2*a**3 + 3*a - 3*a) + 2*a - 3*a**4 - 2*a.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1191 - 1191. Solve a - 3 = -y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 370, 356, 300, 178, -34?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -25aa (base 11) to base 2.\nAnswer: -110100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -13, 1, -5, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 157.\nAnswer: -78.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -7378146, -7 in ascending order.\nAnswer: -7378146, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 184952359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -20 + 30. Let m = a - 11.4. Which is greater: m or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/(-6)*(-9)\/(621\/(-506)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00092557 rounded to 5 decimal places?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -38)*(-2)\/3. Suppose 18*y = -3*t + 16*y - 82, 4*t + 111 = -3*y. Let o = k + t. Solve -4*d + o = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2. Let o(s) = 4*s. Let h(c) = -5*c. Let v(t) = 6*h(t) + 4*o(t). Give r(v(b)).\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of 0*g**4 + 0*g**2 + 194 - 266\/5*g**5 + 0*g**3 - 255*g. What is the first derivative of q(h) wrt h?\nAnswer: -1064*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 6 = 9. Let x = 721 - 670. Suppose -l - t = -x. 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: Suppose 2*d + d - 4*l - 5 = 0, 3*l = -5*d + 18. Suppose 3 = -d*j + 15. What is the units digit of (-1)\/((-4)\/(40 - j))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of 0*m**2 + 0 - 1\/24*m**3 - 1\/168*m**7 + 0*m**4 - m + 0*m**6 + 1\/40*m**5. Factor l(h).\nAnswer: -h*(h - 1)**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 2*d**2 + 13*d + 28. Let m be h(-5). Suppose -10 = -5*l + 5*r, 6*l - 2*r - m = l. Solve 3 = -p - 3*f, 0 = -2*p + 2*f + l*f + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -6 (b) 0.34 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 3*z. Suppose -x - 4*p + 35 = 0, 30 = 3*x - z*x - 3*p. Calculate the highest common factor of 75 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 423 + -359 - (65 + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4513*a**5*c + 3*a**3*c + 23*a**2*c + 26*a*c - a wrt a.\nAnswer: -270780*a**2*c + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -13866 (base 9) in base 14?\nAnswer: -3636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j + t - 13, 0*j + 4*j + 7 = 3*t. Let f be 3\/4 + 0 + 2 - j. Factor -13\/4*a**3 - 17\/4*a**2 - 3\/4*a + 1\/2 + f*a**4 + a**5.\nAnswer: (a - 2)*(a + 1)**3*(4*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44380 rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11256 and 112.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -216*l - 40*l + 3929 + 423 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 AM and 4:36 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*g**4\/3 - 1345*g**3\/3 + 4636*g**2\/3 + 4348*g\/3 + 304 = 0.\nAnswer: -57, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1549 - -1461. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190581389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -3. Let i(s) = 8*s + 1. Let f be i(m). Let w(p) = 6*p**2 - 9. Let q(r) = -5*r**2 + 8. Give f*q(t) - 6*w(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.020111176 plus -0.02?\nAnswer: 0.000111176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/24*(-14)\/(-7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 5*q - 51. Let b = -8 + q. Suppose 0 = -2*t + b + 13. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10746346 and 91676.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 57 = -0*q. Let a = -217 - -121. Let n = a + 191. Calculate the greatest common factor of q and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 9) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0 + -71 - 81 - -72\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -5*g + 60. Let o be g\/21 - 6\/(-21). Suppose 3*i - 43 = -o. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/7*(-204)\/102*(-42)\/4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1, -530, -1451, -2762, -4463?\n\"Answer: -195*i**2 + 54*i + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*o - 91 - 2719*o**2 + 90*o**2 + 14081*o**2 wrt o?\nAnswer: 22904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 33313\nAnswer: 1\/33313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2299254623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + 17*h**2 + 496*h + 347. Determine a(-15).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r - 3. Let g be z(-5). Suppose -g*s = 3*n - 9, 4*n + s = 2*s + 12. Determine y, given that 3 + 1 + n*y**2 - y**2 - 6*y + 0*y**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -87 < -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b - 3*p = -3, -5*b + 0*p + 21*p - 5 = 25*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18 and 3086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6568 + -13131\/2. What is the closest to s in -3, -1\/32, -3\/5?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 322 + -318. What is the biggest value in 0.2, 56, a, -0.1?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*u - 0*u. Suppose -4 = -4*h + u*h. Suppose h*o = -4*l + 86 + 38, 78 = 2*l - 3*o. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103200*z - 68 + 36 + 32.\nAnswer: -103200*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t + 38. Let k be x(-35). Let z = -2.2 - 0.8. Let w be (-4)\/(-6) - 4\/24. Which is the closest to w? (a) 0 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 1.341751.\nAnswer: 0.1341751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -115 + 121?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/12 and -77\/8892?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(-4) - (0 - 1). Suppose 0 = q - 5*j - b, -6*q - 3*j + 10 = -q. Let p(h) = 4*h - 1 + 2 - q. Calculate p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -4*m - 17, -45 = -5*j + 3*m + 6. Calculate the greatest common divisor of j and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**9*b**(-12)*((b\/(b*b\/(b\/(b**(-1\/7)*b))*b*b))\/b)**(1\/3))**32 assuming b is positive.\nAnswer: b**(-960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1b4a06 (base 12) to base 15\nAnswer: -98bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mhmhmmmmmmhmmmhh. Give prob of sequence hm.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(220) + 4*-1*sqrt(220)))\/(-2*-2*(sqrt(5) - (-2*sqrt(5) + sqrt(5)))).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3, -23, -63, -123, -203, -303, -423?\n\"Answer: -10*u**2 + 10*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in 0.08, -2\/3, 2\/21, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22, -29, -38, -49, -62?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/9)*f**(-5))\/((f\/(f*f\/(f*(f*f**(-3\/8)\/f)\/f)))\/(f**9\/f)) assuming f is positive.\nAnswer: f**(299\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((1\/10)\/(2\/5))\/(153\/(-204))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/4 - 1097*b**2\/4 - 204680*b - 30351936.\nAnswer: (b - 1641)*(b + 272)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4967*j**2 - 2486*j**2 - 2479*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 44128 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 84 and -146561339491.88?\nAnswer: 146561339575.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.62 times -45.576\nAnswer: -28.25712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 1759*q**2 + 155*q**2 + 1553*q**2 - 471*q**2 + 130*q**2.\nAnswer: 3126*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f + 5. Let j be o(-4). Let y be (2\/(-4)*4)\/j. Let r be (-38)\/(-14) - y\/7. Let u(x) = x - 1. Determine u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/24*8*-2)\/(8\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6389 = 2*o + 2*g + g, o = 4*g + 3200. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 18*q**3 + 11*q**2 - 6*q**3 - 5*q**3 - 8*q**3 + 7. Let v be 1 + 15*(-2)\/(-3). What is the remainder when 19 is divided by r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 6*a + 2*a - 10 = 0, 5*d = -5*a - 15. Let c(r) = -7 - r - 7 + r**d - 6*r + 4. What is the units digit of c(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -146 - -177. What is the greatest common divisor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*u - 5*u = -285 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 3*s + 5581, 4*s = 5*i + 2*s - 5579. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 + 20 + (6 - 7) is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*s**2 + 0*s**2 + 0*s**2 + (2*s + 2*s - 2*s)*(-4*s + 2*s + s))*(1641*s + 1640*s - 3262*s) in the form d*s**2 + u + t*s + i*s**3 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**2\/2 + 1867*r\/2 - 933.\nAnswer: -(r - 1866)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 7, -389, 2 in descending order.\nAnswer: 7, 5, 2, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-2 + -4)) + 51 + -51?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11303 (base 4) in base 15?\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, -6, 6, 3, 2033 in increasing order.\nAnswer: -6, -5, 3, 5, 6, 2033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - -11425402?\nAnswer: 11425375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 4, -29, -73, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 666 - 445 = -63*s - 598 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -3*k + 188, 6*k - 2*k - 253 = -3*h. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**3 - 4*p**3 + p**3)*(p - 2*p + 2*p)*(p + 3*p - 5*p) - 3 + 3 - 7*p**5.\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 427 a factor of 39572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 587022 is divided by 6676?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.5 in -3\/5, 0.02, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -2*r**2 + 886*r - 19862. Calculate j(25).\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 13 - 139 = 0. Let p = a - -59. Suppose -26*q + p*q + 20 = 0. Solve -j = -q*r - 16, -9 = -j - 2*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 172bc + -1?\nAnswer: 172bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -20.06243055 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:13 PM and 2:13 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 + 7*h + 5. Let s be (0 + 8\/(-6))*3. Let a be i(s). Let k = a - -14. Calculate the lowest common multiple of 3 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:28 PM and 6:18 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, -1\/15, 5468, -1\/2, -15 in decreasing order.\nAnswer: 5468, 5, 4, -1\/15, -1\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13893 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.9053538 kilograms?\nAnswer: 905353800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 49888 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwjjwwjwjww. Give prob of sequence wj.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15.99963 - -16. Round z to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/(u**(-2\/5)\/u))**(1\/4)*(u**(-2\/9)*u*u*u)**(-1\/76) assuming u is positive.\nAnswer: u**(1391\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/381 and -23\/40335.\nAnswer: 5122545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 235021026 + -2?\nAnswer: 235021024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -9*y + 15. Let n be o(5). Suppose 4*a + 3*u = 197, 5*u = -4*a - a + 245. Let h = n + a. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 2 r, and 1 f when four letters picked without replacement from rzyfyrzeevyy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-44 + 49)\/((-1)\/(-4)). Solve 0*c + 4*w + 2 = -2*c, -2*c - n = -5*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 59\/590 + (4\/(-15))\/(-4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4 = b, -m + 13 = -b - 5*m. Put -6, -4, b in increasing order.\nAnswer: -6, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = 4, 278 = y - 0*j - 3*j + 280 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.049 - 6.449. Let q = x - -6.01. Let p = q - -0.89. Sort 13, -0.1, p.\nAnswer: -0.1, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1378692 and 3676512?\nAnswer: 11029536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -375, -860, -2183, -4764, -9023, -15380?\n\"Answer: -70*s**3 + s**2 + 2*s - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 523821034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 3*z + 24 = 0. Let x be (4 + -1)*z\/(-45). Let q = 76 - 75.9. Which is the closest to x? (a) q (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 14146 by 7.\nAnswer: 14146\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 611 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2377 and 3658.\nAnswer: -8695066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -w**2 + 112*w - 3136 = 0. What is w?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 4 + 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 191 equal to 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 - 4. Suppose -y*u = -u + 2. Which is smaller: -3\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmgzmljgnnn. Give prob of sequence gz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gge. What is prob of sequence gge?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 6*l**2 - 150*l - 489. Calculate s(27).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence obo when three letters picked without replacement from djjzojoojwwwdoowodjb?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 1 + 1)*((-3 - 2 + 3)*(p**2 + 2 - 2) - 5*p**2 + p**2 + 3*p**2 - 7*p**2 + 17*p**2 - 3*p**2 + (4*p + 13*p - 10*p)*(0*p + 0*p + p)).\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*(10\/(-6) - -3). Suppose -4*h - 4*a + 48 = 0, h - 5*h = -u*a - 8. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 2*j**4\/9 - 76*j**3\/9 + 418*j**2\/9 + 496*j\/9 = 0.\nAnswer: -1, 0, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 18.250691685 - 98.083?\nAnswer: -79.832308315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 7 = 2*y + 3, 2*y = -z - 3. Let x be (-4)\/(-14) - (-68)\/z. Suppose -x*h + 15*h = 495. What is the remainder when h is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n + 2*n - 12. Sort 4, 5, n in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 + 2 - 2 - -1) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 18 plus -1579701265?\nAnswer: -1579701247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 11, -37, -120, -2, 2.\nAnswer: -120, -37, -2, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2558*i + 698 - 350 - 348.\nAnswer: -2558*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 14 = -6. Let z(y) = y**2 + y - 1. Let t(l) = -19*l**2 - 8*l + 15. Let g(b) = -t(b) - 6*z(b). Is g(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 341 divide 8628323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -387*c = -409*c + 132 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1052984 is divided by 134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -1 - 3)\/(-1). Suppose 12 - 2 = k*w. Suppose -2*h - 63 = -w*c - 23, 0 = -3*c + 5*h + 43. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 53 + 59 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 2 = 35. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 3*x - 2*z, 2*z = 306*x - 310*x + 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**2 - 4*l + 6. Let m be p(-4). Suppose w = 3*u - 4, -2*w + m*w = -u - 3. Does 33 divide 65\/u + (-2)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20886323 is divided by 1392421.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p**2 + 16*p**2 + 9*p**2 to n*p**2 + u*p + z and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66641*x + 3 - 67885*x - 3.\nAnswer: -1244*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1264 and 18255952.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5 - 65711?\nAnswer: -65708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 4 (c) -2\/9 (d) -1 (e) 14.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11351 + -11351. Solve 4*n - 7*n - 15 = u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 920 - 13789\/15. Let h = -23\/45 + w. Let u = -63\/2 + 31. Which is the biggest value? (a) u (b) -3\/4 (c) h (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 + 3*u**2 + u + 5. Let a be b(4). Let c = a + 25. What is the remainder when 71 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23 - 735*c**2 + 743*c**2 + 49 - 26.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185266630.\nAnswer: 2, 5, 18526663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**2 - 3*h**2 + 2*h**2)*(4*h - 3*h - 2*h)*(52*h - 70*h + 47*h).\nAnswer: 29*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 111 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -40 at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 61 + -1 + (-17)\/17 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7\/8140000 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -79 - -54. Let l be (k + -1)*(1 - 0). What are the prime factors of 12\/78 - 308\/l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 600 = 4885. Suppose -5*c - 4285 - g = 0. Let x = c - -2783. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2\/3, 3, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42\/(-189) + (-11596)\/(-18) is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 142 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 - 19*d - 22. Let u = -7 - 10. What is the tens digit of v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75 - 18*h**2 - 64 - 62 - 64 + 264.\nAnswer: -18*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 269 - 181. Let x = -4 + 12. Calculate the highest common divisor of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 321627167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + q**2 + 4)*(-2 - 1 + 6) + 4422*q**2 + 12772*q**2 - 3 + 4 - 1 to y*q + w*q**2 + t and give w.\nAnswer: 17197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000239386 to six dps.\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5.94 + 6. Let v = 0.44 + p. Let i = -0.6 - -0.5. Which is the biggest value? (a) i (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 + 5. Suppose -2*t = 0, -3*a + q = -5*t - 2. Suppose 5*g + 5*n - 43 = -3, 0 = 5*g - 4*n - a. Solve -x = 0, 2*y - 4*x = -0*x + g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.4 (c) -91\/6 (d) -41 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -19a082 (base 16) to base 12\nAnswer: -68bb16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -296*b**2 + 1497*b**3 - 321*b**2 - 1492*b**3 + 2*b - 96*b**2 + 104*b**2 in the form t*b**3 + i*b + q*b**2 + r and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 367 + -363. What is the greatest common divisor of t and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 16 = -3*z, -5*r - 24 = -3*z - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-231)*-29 - (-12)\/132.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -335*x + 481*x - 302*x as l*x + c and give l.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + m + m)*(-3 + 2 - 2)*(0*m + 3*m**2 - m + 0*m).\nAnswer: -27*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -76, 202 in descending order.\nAnswer: 202, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/((-4)\/(76\/(-3))). Suppose -5*a = h + h - k, -3*h = -3*a + 3. Suppose 0 = -h*b + b + 1249. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21314421 (base 5) to base 6.\nAnswer: -3524502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1159*d - 1158*d - 3*y = 18, -d - 4*y = 3 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 138*o + 9091. Let x be y(-65). Solve -x + 17 = -13*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4, -12, -20?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*i - 116\/3 - 40*i**2 - 2\/3*i**3 = 0.\nAnswer: -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3664 a factor of 138147456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 27220.\nAnswer: 108880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + (59 - (66 + -72)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1307\/7 + -186. Suppose 5*j = -4*w, -5*w = -5*j - 28 - 17. Suppose 6*v - w*v - 2 = 0. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fgg when three letters picked without replacement from gfg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 2*f + 0*f - 3 = 0, -6 = -5*o + 3*f. Let h be o*(-2)\/(-6)*5. Solve 2*m - 2 = -2*m + h*q, m + 4 = -q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -682 + 687. Let n(w) = 2*w - 3. Let x(g) = 2*g - 4. What is m*x(s) - 6*n(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6432 is divided by 841?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (w + 3 - 3)*(1 + 4 - 7)*(-20 + 19 + 11).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 602 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -5*z**2 - 3*z - 3. Let m(j) = j + 7. Let o be m(-8). Let x(y) = y**2 + y + 1. Calculate o*i(l) - 3*x(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 18264958429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -4264 and -9.\nAnswer: 38376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 14900 and -0.1807.\nAnswer: -2692.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -10623, 4 in decreasing order.\nAnswer: 4, -2, -10623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 32\/73 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 4, f: 1, m: 2, e: 6}. Give prob of sequence emw.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 h, and 1 v when three letters picked without replacement from {d: 5, v: 1, h: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 11, k: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h**3 + 55*h**2 - 102*h - 38. Let q be j(-20). Solve -4 = 2*u, 4*u - q + 16 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*h - 13. Let d(z) = -5*z - 5. Let g be d(h). Solve -6*p - g = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 160023 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(112) + -4 + 5.\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2\/5*-2 - (-1276)\/220\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 AM and 12:27 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.07368*-9.9.\nAnswer: -0.729432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -2\/27, 4, -0.3, 52?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-256)\/(-14) + 9711\/(-7553)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2019 + 482 + 2*j**3 - 2*j**3 + 2*j**3 - 281.\nAnswer: 2*j**3 - 1818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 3 - q**3 - 2*q**2 + 2*q + 4*q**2 - 2. Calculate p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17.51 + -16.51. What is the closest to m in 1\/4, 4, -0.27, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 420303.\nAnswer: 3, 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 14358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 4 = 3*t, 4*b + 2 = 10*t - 8*t. Let f(q) be the first derivative of 10 + 0*q**2 - 1\/12*q**4 + 0*q - 1\/3*q**t. Factor f(c).\nAnswer: -c**2*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 2.8. Let r = -292 + 320. Suppose r = -5*j - 2*j. Which is the second smallest value? (a) -0.4 (b) q (c) j (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -9*s + 24. Let t be (2 - 2) + s + 10. What is the greatest common factor of t and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 160624.\nAnswer: 2, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + 6 - 38. Let b = 15.1 - 15.1. Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g + 24 = -4*n, 2*n + 15 = 3*g + 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11946, 23908, 35898, 47922, 59986?\nAnswer: 72096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*z - 2*z - 44*z + 204*z - 48*z.\nAnswer: 106*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7622)\/19055*1575\/6.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*x**3 + 16 - 16 + (5*x**2 - 4*x**2 - 3*x**2)*(0*x - x - x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*v + 1773 = 1673 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 4*b + 463, h + 202 = -2*b - 31. Let t = 110 + b. Is -25\/3 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3396*r + 383*r - 4313*r - 6796*r as n*r + y and give n.\nAnswer: -7330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of n**5\/30 + n**4\/3 + 3*n**3\/2 - 5*n**2. Let u be x(-7). What is the greatest common factor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-15)\/(-6)*-1*2. Let g(q) be the first derivative of q**4\/4 + 7*q**3\/3 - 5*q + 88. What is the units digit of g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, t: 7, v: 7, f: 2, p: 1}. Give prob of sequence vvtv.\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 - 4*q**2 + 5*q - 1. Suppose -5*z + 3 - 28 = 0. Let t be h(z). Which is bigger: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_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: What is the hundred thousands digit of 113869903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*a = -4*a - 10. Find the first derivative of 7*b - 1 - a*b + 10 wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*o - o**2 + 2*o + (0*o + 5*o - 3*o)*(2*o - 2*o - 2*o) - 994 - 1006*o**2 + 492 + 502.\nAnswer: -1011*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 15+2.56\nAnswer: 17.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 685917760.\nAnswer: 2, 5, 11, 194863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 78204*d**2 - 29*d + 45. Let u be m(5). Round u to the nearest ten thousand.\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1979 (base 11) to base 2\nAnswer: -100111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 556, 2187, 4890, 8665?\nAnswer: 13512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7906.3 - 7906. What is the smallest value in 6, -1\/30, -2\/15, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w**2 + w**2 + 855*w**3 + 2*w**2 + 2*w**2 - 789*w**3.\nAnswer: 66*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -0*u - 30. Suppose -s - 55 = -u*s. Calculate the highest common divisor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -21 by 13880.\nAnswer: -21\/13880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 3*j + 134, -41*l = -49*l + j + 980. Which is smaller: 127 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1220402 - 252992 = 7166*b for b.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find t such that -3*t**3 - 23394*t**2 - 30180021*t - 30156630 = 0.\nAnswer: -6167, -1630, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 652531551.\nAnswer: 3, 7, 23, 151, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 - -4)\/((-2)\/(-142)). Let n = -29 + u. What is the highest common divisor of n and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1642.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in eleven tenths of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62\/(-1*2)*4\/172*-43.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -6. Let d = 3 + -3.8. Let y = 1.8 + d. Which is the nearest to y? (a) 5 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 13\/2. Suppose 0 = -29*u + 597 + 592. Sort s, -0.5, u, 3 in descending order.\nAnswer: u, 3, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 5*x + 2*t = -16, 0 = 5*x - 3*t - 18. Let h(g) = 8*g - 7 + 2 - g**2 - 3. Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 not equal to -191.3567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 29.5 + -26. Let s = -4 + 7. Let g = s - y. Which is the third biggest value? (a) g (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -20? (a) 0.7 (b) -5\/3 (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 9.093521 + 215638.\nAnswer: 215647.093521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 352.0915l?\nAnswer: 352091.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 4*v**3 + v**2 - 2. Let a(b) = -b**2 + 7*b + 4. Let t be a(8). Let y(k) = 3*k**3 + k**2 - 2. Let s = 17 + -12. Determine s*y(r) + t*j(r).\nAnswer: -r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 4 + sqrt(96)\/sqrt(2) + sqrt(3) + (sqrt(300) + 2)*4.\nAnswer: 11 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -668697\nAnswer: -2\/668697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((-2 + (-1 + sqrt(637) - sqrt(637)) - ((sqrt(637) - (0 + sqrt(637))) + sqrt(637) + 3))*-3 - (2 + sqrt(637)*3*-5 + -3)))**2.\nAnswer: 43092*sqrt(13) + 1860741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes after 12:23 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5672 - -11133. List the prime factors of c.\nAnswer: 5, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = 2*s - 11 + 33, 40*o + 12*o = 47*o + 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wae. What is prob of sequence ea?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -2*w**3 - 4*w**2 - 2*w - 2. Let k be 5 + -1 - ((-84)\/(-6) + -7). Calculate the remainder when i(-3) is divided by 6\/2*50\/(-90)*k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*n + 0*n - 415*n**2 + 23*n**2.\nAnswer: -392*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 842978801 at least as big as 842978802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**3 - 26*j**2 + 27*j. Determine d(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 3 = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 - 23*g - 25. Give n(-19).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(((m\/(m*(m**(-15)*m)\/m))\/m)\/m))\/m**(-1\/3)*m**(-4)*m**(-13\/3)*m assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 30350\/(-3)*(-270)\/60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -8*n + 28. Determine j(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -657782 + 54?\nAnswer: -657727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -372483\/5 greater than -74498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 25488 divided by -144\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18*v**2 + 17 + 19*v**2 + 6 + (v + v - 3*v)*(-2*v + v + 0*v) to o*v**2 + f*v + p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5842.185 years in centuries?\nAnswer: 58.42185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-14))\/(-15*11\/770)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1808 is divided by 253?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6843, 4117, 32881, 79449, 143821, 225997?\nAnswer: 325977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -227*u - 234*u - 2*u**3 + 1 + 361*u + (2*u**3 - u + u)*(-1 + 1 + 3).\nAnswer: 4*u**3 - 100*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -30*g + 2 + 17*g + 16*g. Let w be q(1). Solve 3*a = -w + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*r - 10 = 19*r - 2*i, 5*i - 7 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34 - -55. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 38 = 2*j. Suppose 0 = -c - 5, 3*f - f + 4*c = j. Suppose 0 = -l + 2*l - f. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 2 x, and 1 o when four letters picked without replacement from {x: 6, e: 3, o: 7, u: 3}.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -193.091 + 193. Let h = k + 0.406. Round h to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15.1 + -15. Sort y, -4, 2.\nAnswer: -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.450655g to kilograms.\nAnswer: 0.005450655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 - 4*c**2 - 8*c - 12. Let t be y(6). Solve 0*p + 4*p + t = 4*q, 4*p = -5*q + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 4*s - 14. Let t = 5.6 + -8.6. Which is the biggest value? (a) -0.5 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -68*r + 8. Let y(o) = -3*o + 3. Let d be y(0). Suppose d*x = 8*x + 10. Does 18 divide q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**2\/2 - 15*d + 75\/2.\nAnswer: 3*(d - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -27*u - 35. Suppose -c - 49 = -b + 6*b, -4*c - 86 = -2*b. What is the hundreds digit of r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1, -1\/4, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26052 - 26050. Let h(l) be the first derivative of -46 - m*l - 1\/2*l**2. What is h(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 101.7273 nanoseconds?\nAnswer: 0.0000001017273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2410835901204+0.1\nAnswer: 2410835901204.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -4. Let f = 0.3 + -5. Let b = f + 2.7. What is the closest to 1\/2 in b, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -8*n**2 + 6*n + 7. Let s(p) = -9*p**2 + 7*p + 7. What is -6*s(a) + 7*y(a)?\nAnswer: -2*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the second derivative of 0 + 29*a + 1\/2*a**3 + 0*a**2. Let j(m) = 23*m**2. Give d(j(b)).\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -490*c. Let n(x) = 102*x**2 - 16*x + 16. Let o(t) = -19*t**2 + 3*t - 3. Let w(r) = 3*n(r) + 16*o(r). What is w(i(s))?\nAnswer: 480200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432) - -1*sqrt(432))**2 - (-2 + -2*sqrt(3))**2.\nAnswer: -8*sqrt(3) + 1712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 48241846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -41*o**2 + 454*o + 65. Calculate l(13).\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*p + 1995 = 46*p + 42*p. Solve -30*z + p*z - 3*h = -9, 5*z + 6*h - 18 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-336)\/(-54))\/(-14))\/((-2)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the second derivative of d**7\/126 - 11*d**6\/9 + 177*d**5\/20 - 313*d**4\/18 - 214*d**3\/9 + 140*d**2 - 4510*d. Suppose x(l) = 0. What is l?\nAnswer: -1, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = -m - 126, 7*b - 4*m - 38346 = -9*m - 38560 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 0.06 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1141076801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 - 6. Let g = -3277 + 3296. Calculate the remainder when g is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42672 divided by -14224?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 12*g - 11. Let i(n) = 11*n - 8. Let w(l) = 7*i(l) - 6*o(l). Let p(h) = -2*h**2. Calculate w(p(d)).\nAnswer: -10*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 111*r**2 - 5*r + 7. Let o(h) = 110*h**2 - 6*h + 8. Calculate 6*c(w) - 5*o(w).\nAnswer: 116*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -30 - (538 - 645)) + 3.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.05 - 2.95. Which is greater: 0.4 or h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -363*w - 18929 = 636*w - 176*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 39053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1208, 6462, 20756, 48608, 94536, 163058, 258692, 385956?\n\"Answer: 753*k**3 + 2*k**2 - 23*k + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -234 less than -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*r = -3*q - 23*r + 594125, -4*q = 5*r - 792165. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the first derivative of i**3\/3 - 5*i - 1. Let s = 2 + 1. Suppose 0 = 2*z - 5*z - s. Let u(a) = 1. Give z*b(t) - 3*u(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -461 + 191 = -3*j. What are the prime factors of (-10)\/j + (-1334)\/(-18)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:01 PM and 5:37 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 3\/5, 0.1, 4\/15, 2\/3, 0.2 in descending order.\nAnswer: 3, 2\/3, 3\/5, 4\/15, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/(-12) + (-51)\/12. Let x be (q\/8 + 0)*-33869762. Let u = -7534881 + x. Round u to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d**(-2\/7))\/d)**(7\/8)*((d\/(d*d\/(d\/(d*d**(3\/5)\/d*d))))\/d)\/(d\/d**7) assuming d is positive.\nAnswer: d**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 10010111100111111 (base 2) in base 5?\nAnswer: 4441011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-70903)\/(-28) - 6\/(-8). Suppose 4744 = -19*k - f. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 - -18. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5176.15 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5 or -141191978?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 73981*b - 73976*b - 4*b**4 + 9*b**3 - 9*b**3 + 121 in the form d*b**4 + y*b + t*b**3 + z*b**2 + w and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 316 * 0.2.\nAnswer: 63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7534 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 76581 or 76582?\nAnswer: 76582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 754 * 3\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 - u**2 - 2*u + 3. Let h be b(2). Let i(n) = 5*n - 2*n**h - n**2 + 3*n**3 - 3*n**2 - 2*n**2 + 7. Let q be i(5). Put 4, q, -1 in increasing order.\nAnswer: -1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -2*m - 4. Let d be n(-4). Suppose s = d*s + 12. Let y(b) = -4*b**2 - 7*b. Let x(a) = 2*a**2 + 4*a. Give s*y(h) - 7*x(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s + 21. Give d(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4 - 0 - -3) + 2. Suppose 3*z + f = 4*z. Let w(t) = -2*t + 2*t + 2 - 13*t**3 - 3. What is w(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 3 + (-1 - 4) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g\/(g**3*g))\/g)\/g)\/((g*g**(-2\/7)*g)\/g))\/((g\/(g**(-1)\/g))\/(g*g\/(g\/g**(3\/5)))) assuming g is positive.\nAnswer: g**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -17, -18, -19, -20, -21?\n\"Answer: -h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 249577?\nAnswer: 17, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(27)*-6 - (2*sqrt(432) + sqrt(3))) + ((sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(12) - (sqrt(30)\/sqrt(2))\/sqrt(5)) + 1)**2.\nAnswer: -84*sqrt(3) + 5293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 212564\/39 - 5449. Find the common denominator of b and 38\/45.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from yvyylaayvyyy?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -19*n**3\/3 + 11*n**2\/2 + 3. Find the second derivative of b(w) wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 take away 102.1?\nAnswer: -101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjb when three letters picked without replacement from {t: 2, l: 1, b: 1, r: 3, j: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 0 - 1 + 5 - 3 + (-1 + 3 + 0)*(-6 + 3 + 2) + 5 - 6 + 0 + 1 - 1 + 2 + 8 + 2 + 0)*(-5*a + a + 2*a)*(-2*a**2 - a + a).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -36659*y + 1173095. Give g(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -126*q + 112*q. Which is bigger: 4\/71 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiibiininnbi. Give prob of picking 3 b and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -5*f + 2*f + 2*f. Let v be j(-3). Suppose -7 - 14 = -v*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 2\/25, -5, 0 in ascending order.\nAnswer: -5, -0.5, 0, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -20*q + 24*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/410 and 26\/943.\nAnswer: 9430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 213 = -603. Calculate the remainder when d is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/140244 or 1?\nAnswer: -1\/140244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -z - 19, 6*z - o = 2*z + 9. Solve g - z = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 6*s - 42. Let f be i(-10). Put -3, 2, 0, f in decreasing order.\nAnswer: 2, 0, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24887.\nAnswer: 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*b - 49 = 101 - 0. Let t = -7 - -8. Sort b, -29, t in decreasing order.\nAnswer: t, b, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 694328?\nAnswer: 2, 229, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*c + 3*c - 2*c)*(-210 + 46 + 113) + 2*c - 5*c - 9*c)*(-3*c + 1 - 1).\nAnswer: -270*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/23, 69, 6\/17?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 350 (base 7) in base 11?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21881 + -11333. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 - -1. Suppose -5*c - x = -17. List the prime factors of 102 - (-3)\/((-3)\/c).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -46\/19 or 107923?\nAnswer: -46\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -64945254 by -10824209.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 29.0955 + -22.375. Round d to 1 dp.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/7*(-35)\/10. Solve a = -s - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -6*m - 7. Let k be j(-4). Calculate the greatest common divisor of 119 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 623 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-19)\/l)\/(l**(3\/4)*l) assuming l is positive.\nAnswer: l**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 64*l**5 + 11*l + 6 wrt l?\nAnswer: 1280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-24)\/(-3))*15\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30483*s + 48*s**3 - 52*s**3 - 30474*s.\nAnswer: -4*s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 35 * 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -31, -1\/5.\nAnswer: -31, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1830759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 3*k. Let s(y) = -4*y - 9. Let c(o) = -2*o - 5. Let w(n) = 7*c(n) - 4*s(n). Let z be w(-1). Let i be 3\/(-3)*2*z. Calculate j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 206 - 190. Calculate the remainder when 26 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes before 3:25 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1069 and 205.64?\nAnswer: 219829.16","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: 10 (base 4) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -l + 33, -2*l = -296*u + 290*u - 54. Solve 0 = 3011*m - 3002*m + l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 176 + -106. Suppose 5*n - k = 3*n. Calculate the remainder when 104 is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1786 + 10765\/6. Calculate the common denominator of y and 6\/((-2)\/3 + 1150\/2139).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -42*w**3*z - 9*w**2*z - 2930*w**2 + 62646377*w*z wrt w.\nAnswer: -252*w*z - 18*z - 5860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/169517752 and -27\/932.\nAnswer: 169517752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ta when two letters picked without replacement from mmgymmaamyatammmamyy?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86082.\nAnswer: 2, 3, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 0 + 1 + 1 - 272*x. Let w be j(-1). Let w*s**3 + 0 + 24 - 37*s**3 - 67*s**4 - 53*s**4 - 174*s**2 + 12*s + 21*s**5 = 0. What is s?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 146 + -271. Let x = h + 235. Suppose -59 + 15 = -t + 4*o, 3*t - o = x. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2*m + 1. Let a be u(7). Suppose -a*o + 36 = -9*o. Let d be 4 + -1 - (o - 8). Sort d, -4, -5.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 560 and 101909.355.\nAnswer: 102469.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**3 - 2 + 5*j**2 + 0 + 0*j**3 + 2*j**3. Let o(z) = -4*z**3 - 6*z**2 + 3. What is 5*o(t) + 6*w(t)?\nAnswer: -2*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 611057, 1222453, 1834185, 2446253, 3058657, 3671397?\n\"Answer: 168*u**2 + 610892*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1*(-658)\/47*(-2)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 142083 is divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -118, -7, -15, -2, 1, -1 in ascending order.\nAnswer: -118, -15, -7, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 3*l**2 - 82*l + 810. Calculate the remainder when y(11) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98757 is divided by 137?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**28\/k))**(26\/9)\/(k**(18\/11)*k**35) assuming k is positive.\nAnswer: k**(-11063\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5 and 3063.\nAnswer: 15315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -54379991, 4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*g + 440 = -40*w - 6*g, -3*w - 135*g - 33 = -137*g for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 17*l + 2*l**2 - 297225 + 297195 - 18*l**2. Calculate x(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -k - 11*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -38 + 77. Let b = -39.03326252388 + 0.03326235388. Let n = b + t. Round n to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -373392?\nAnswer: 746784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 3, -5, 4\/3, 17\/14, -3, 17 in descending order.\nAnswer: 17, 3, 4\/3, 17\/14, 0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of 11*r**5\/60 + r**4 + 39*r**2. What is the second derivative of y(u) wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 401257 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -21171 divided by -2\nAnswer: 21171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(1300)*-2*6 - sqrt(1300)))**2*-5.\nAnswer: -9886500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -15*s - 514. Calculate m(-36).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:06 PM and 12:00 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1980)\/120*(-2222)\/(-363)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4683\/5 - 937. Let m = 1.52 - 105.52. Sort 2, 0.1, m, u in increasing order.\nAnswer: m, u, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-50)*(310\/(-10))\/31.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.39 + 0.386. What is h rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**3 - u**2 - u + 7. Let k be a(0). Suppose -k*r + 99 = 2745. What is the units digit of 6\/4 - r\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 76 and 760?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -15*y**3 + 2*y**2 - 3*y. Let o = -6667 + 6668. What is z(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 5*v**2 - 7*v - 7. Let u = 212 + -209. Calculate the remainder when 127 is divided by o(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 28582*a + 11204143. What is d(-392)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 52\/3 of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-265)\/1325)\/((-1)\/(-7))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12*(-6)\/2160)\/((-2)\/8). Let i = 11 + -13. Which is the nearest to i? (a) -3 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -111, -439, -979, -1725, -2671, -3811, -5139?\n\"Answer: m**3 - 112*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 22 - 23. Let w = v - -1.3. Which is the second smallest value? (a) -0.4 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l + 20. Let f(o) = -3723*o + 39. Calculate 2*d(n) - f(n).\nAnswer: 3721*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 137*q**2*r**3 - 2*q**2*r**2 + 3*q**2 - 2*r**4 - 593*r wrt r?\nAnswer: 822*q**2*r - 4*q**2 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*s - 4*o + 10, -s + 4*o + 4 - 26 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 101000011010100 (base 2) to base 16.\nAnswer: 50d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.95 - -14011\nAnswer: 14011.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mymvbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3326*c**2*h*v**3 - 18*c**2*h*v**2 + 327*c**2*h + 9*c**2 wrt v.\nAnswer: 9978*c**2*h*v**2 - 36*c**2*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, 2, -7, -3 in descending order.\nAnswer: 5, 2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18011 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (75 - 51) + -6 - -47.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-64)\/(4608\/(-360))*-8*(-3)\/(-1770)\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 853040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do -26851 and -26853 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (72 - 92) + 0 + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/69)\/x)**(-2\/45)*(x*x**(-23\/4))**(-49) assuming x is positive.\nAnswer: x**(2891323\/12420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 37 times 217\nAnswer: 8029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 - 10 - ((21 - 3) + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 3) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11766 is divided by 523.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 49 + -44. Suppose -v*z + 4 = -z. Is (3\/(z - 0) - 3) + 163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zrl when three letters picked without replacement from {l: 2, b: 1, i: 1, s: 1, z: 1, r: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 125 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2772295 a multiple of 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67205.\nAnswer: 5, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -112 + 20 + 65 + -67\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69556, 139107, 208658, 278209, 347760, 417311?\nAnswer: 486862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of -w**6\/70 + 3*w**5\/140 + w**4\/28 - w**3\/14 + 14*w - 16. Let t(i) be the first derivative of z(i). Find r such that t(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 67 = 44. What is the remainder when (-1445)\/(-10) - ((-581)\/1826 + (-2)\/11) is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21343 - -21354. Solve 3*z = -9*t + 7*t + 13, o = 5*z - 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 2:00 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k + 128 + 110 = 0. Let z = k + 38. Suppose -z*p + 11*p = 77. Calculate the remainder when 14 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -3 - 2 + 25*t + 32*t. Let a(u) = -5*u**3 - 27*u**2 + 18*u + 3. Let z be a(-6). What are the prime factors of i(z)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 + 10*l**2 - 7*l**2 - 3*l**2 - 8 + 5*l. Let r be h(-6). Is 0 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -28941*o - 752467. What is a(-26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 200\/60*-9*(-5)\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7419 is divided by 124?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:48 AM and 5:24 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2988, 8473, 16458, 26937, 39904, 55353?\n\"Answer: -r**3 + 1256*r**2 + 1724*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 108 + -108.6. Let w = 0.46 + -0.06. Let y = w + v. What is the closest to -1 in 0.2, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23*f**3 - 20*f**3 + 10*f**3)*(f + 1 - 1) - 36 - 4*f**4 + 36.\nAnswer: -37*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 - (-114)\/(-60)*2. Which is the closest to 0.2? (a) 3 (b) f (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1578897?\nAnswer: 3, 175433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 3*a**2 - 14*a - 2. Let o be c(8). What is the second smallest value in o, 2\/3, -4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 315*g = -277*g + 24860 - 4732 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*m + 0)*(-90711 + 90711 + 879*m**3 + 536*m**3 + (-m**2 + 4*m**2 - 4*m**2)*(-2*m - 1 + 1)).\nAnswer: 2834*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nv when two letters picked without replacement from kvknmkm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**(-6))\/((((w*w\/((w*w*w**4)\/w))\/w)\/w*w)\/w))\/(w**3*w\/(w\/w**2*w)) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 6, b: 3, w: 1, z: 4}. Give prob of picking 1 h and 1 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 227*v + v**4 + 3*v**3 - 227*v + 0*v**3 - v**2 + 3 to z*v**4 + k*v**2 + c + f*v**3 + m*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1000 + -122?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 308 and 3107468.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**4 + 3162*t**3 + 870267*t**2 + 19541160*t + 114577200.\nAnswer: 3*(t + 12)**2*(t + 515)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25 - 18*m**2 + 25)*(5*m + 4*m - 2*m) + (4*m - 3*m - 3*m)*(2*m**2 + 3*m**2 - 2*m**2) - 2*m**3 + 5*m**3 - m**3.\nAnswer: -130*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -2189*d - 8814. What is v(-4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1027391ng to kilograms.\nAnswer: 0.0000000000001027391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 16 = 2*f. Let z(v) = 5*v - 15. Let g = -51 - -55. Calculate the lowest common multiple of f and z(g).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -11815 by 139.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {t: 3, x: 4, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -156*v - 29502. Determine r(-182).\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 147, 601, 1359, 2421, 3787, 5457, 7431?\n\"Answer: 152*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 32171561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q - 10. Let v be r(7). Let l = 40 - v. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((89262\/(-189))\/29)\/(16\/112).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llkkk. Give prob of picking 2 k and 2 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (0*w**2 + 0*w**2 + w**3)*(75*w - 38*w - 88*w) - 2*w**4 + 4*w**4 - 4*w**4 - 2*w**4 + 1 + 2*w**3 - 1 as x*w**2 + n*w + m*w**4 + s*w**3 + g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40544 and 12?\nAnswer: 121632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.161 - 6.161. Which is the second biggest value? (a) -3 (b) o (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -40\/3 and -29\/4062?\nAnswer: 4062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*r - 4*c - 4 + 5, 0 = 3*r + 5*c - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 9861, 10439, 11017, 11595, 12173, 12751?\n\"Answer: 578*x + 9283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 48 - 35. Suppose 4*l = -2*y + 8, 0 = -3*y - 2*y + 4*l + 34. Suppose -y*c = q - c - 132, -c = q - 120. What is the highest common factor of x and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 39.82 + 326.317.\nAnswer: 366.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -12 divided by 23006735\nAnswer: -12\/23006735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 28511 - 22. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**2 + 7*x + 8. Let o be j(-4). Let p = o - -46. Let u be (-58)\/p - (-5)\/(-25). Which is smaller: -2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58c5 (base 13) in base 6?\nAnswer: 133510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-4)\/(-10))\/(3\/(-15)). Let l be -1 - -4 - (1 - 2). Let x be (3\/9)\/(l\/(-6)). Which is the second biggest value? (a) h (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 - 0. Let j = 0.075 - -46.925. Let k = j - 52. What is the second biggest value in -3, k, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 714198.\nAnswer: 285679.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -13*l + 7749. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 7. Let c = 0.5 + 2.5. Let r = -67\/3 - -23. What is the third biggest value in u, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 35\/513 and 80\/399?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(1216) + (sqrt(1216)*-2 + 3 + sqrt(1216) - sqrt(1216)) + sqrt(1216) + 0 + 0 + ((-2*sqrt(1216) + 4 - sqrt(1216)) + sqrt(1216))*3))**2.\nAnswer: -51840*sqrt(19) + 1584036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 36*g**2 - 107760*g + 80640400.\nAnswer: 4*(3*g - 4490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from shhhhs. Give prob of sequence hs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-57)\/(2793\/(-224)))\/(-2)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 136022279.4 microseconds to weeks.\nAnswer: 0.0002249045625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 + 35*k - 1. Let p(a) = -8*a**2 - 210*a + 6. Let i(r) = -p(r) - 6*x(r). Suppose 11 = 5*d + 1. Let f(u) = -33 + 33 + d*u. Determine f(i(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/(-96))\/((-2)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**2 + 48*y**3 + 2094*y + 3*y**2 - 2094*y - 19*y**3.\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -282*l + 29148 + 53760 = 0. What is the highest common factor of 1932 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 433 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*j**3*z - j**3 - 7*j**2*z + 186*j*z wrt j.\nAnswer: 24*j*z - 6*j - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.95 + 0.25. Let l = -0.7 + u. What is the third biggest value in 3, -5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -c + 1 - 3 - 2*c + (5 + 0 - 2)*(-2 - 8*c + 2).\nAnswer: -27*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16421488 and 592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -51 + -6?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4\/785 - 46267\/9420. Find the common denominator of -31\/6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - -14 - (5 + -44 + 23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the third derivative of f**4\/12 - 4*f**3\/3 + 6*f**2. Let x be g(16). Suppose 0 = -8*k + 12*k - x. Calculate the lowest common multiple of k and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 89 + -48. Let j(d) = -2*d - 10. Let k be j(8). Let m = k + f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jqmjjmqhjhh. What is prob of sequence mqj?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence igw when three letters picked without replacement from kimgkkkwwk.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 17859649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/12, -3\/4, -2.2, 2, -1\/179, 0.2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 50 + -23511?\nAnswer: -23431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0709105 kilometers to meters.\nAnswer: 70.9105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - -19. Let h(w) = w**3 + 7*w**2 + 6*w - 6. Let x = 6 + -11. What is the smallest common multiple of h(x) and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3aa8a (base 14) in base 6?\nAnswer: 3034122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*b**4*p + 4*b**3*p**2 + 2*b**3*p + 73*b*p - p**2 wrt b?\nAnswer: 84*b**2*p + 24*b*p**2 + 12*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {d: 2, i: 1, n: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -28\/675 and -63\/125?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -3*k**3 - 921*k**2 + 104010*k - 681912 = 0.\nAnswer: -396, 7, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/i**18)\/i)\/i)**3 assuming i is positive.\nAnswer: i**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/(-16)*1*453\/2265?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-14)\/(-833)*17 - ((-1048)\/469)\/2. Is k bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.224 - -0.22. Let g = w + 0.056. Which is the smallest value? (a) -8 (b) -3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12.78 to 1 dp.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b + -b1?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95 is divided by 66.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -101011020030 (base 4) in base 14?\nAnswer: -847a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirty-seven halves of a hour?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and -36375?\nAnswer: -72750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 30 and 505.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-3 - -16 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37205, 74445, 111715, 149015, 186345?\nAnswer: 223705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25, -170, -565, -1336, -2609, -4510?\nAnswer: -7165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -573*w + 2581 = 412 - 696 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -7*h**3 + 6*h**2 + 9*h + 6. Is 16 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 0. Suppose 0 = f - w*f. Find the second derivative of f*t - t**4 + 2*t - 3*t wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 199 + -198.8. Put -0.1, -2, s, -1 in decreasing order.\nAnswer: s, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 82*a**3*k**2 + 30*a**3*k - 111900*a**2*k**3 - 65*a*k - 8*k + 40 wrt k.\nAnswer: 164*a**3 - 671400*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 111221002 + -3?\nAnswer: 111220333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 3*z - 22 - 18 = 0, -z + 5 = 0. Suppose -c*v = -20*v. Suppose v = -192*u + 188*u + 40. Solve u + 15 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 88 a factor of 29497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2\/13, -3, 1.21, 9 in descending order.\nAnswer: 9, 1.21, 2\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 9*d = -6. Let k be d*4\/12 + -3. Let x be (-7 - k)*(2 + -3). Let r(h) = h**2 - 4*h - 3. What is r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0.5502 (b) 0.18 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 692137 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 2. Let m be 16\/(-28) + (-4722)\/42. Let o = 117 + m. Solve 6*x = w*t + x + o, -6 = -2*t - x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3750, -7523, -11278, -15015?\nAnswer: -18734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + 1032?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 14) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9726.044 - -9757. Let r = -32.1 + z. What is r rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -40, -62, -72, -64, -32?\n\"Answer: b**3 - 29*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 1 - 3 = -2*b, -b - m + 2 = 0. Suppose -3*q - 10 = -2*r, 0 = q + b*r - 0*r + 14. Let f(v) = -v**2 - 5*v + 2. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-98)\/21)\/(3745\/(-35310)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/3, -0.01, -4, -2\/9 in increasing order.\nAnswer: -4, -2\/9, -0.01, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 c when four letters picked without replacement from {t: 2, z: 3, c: 4, m: 5, v: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -2667.\nAnswer: 1\/2667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/z**(-7)))\/(z\/z**(-2\/5)*z*z)*z**(1\/5)\/(z\/z**(-2\/3)))\/((z\/(z\/(z**(-2)\/z)))**(-29))**9 assuming z is positive.\nAnswer: z**(-11923\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 2*v**3 - 2044*v**2 + 1031*v + 1020. Let t(q) = -24*q**3 + 26570*q**2 - 13400*q - 13260. Let x(k) = 76*r(k) + 6*t(k). Find j, given that x(j) = 0.\nAnswer: -510, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of -6*b + 1\/7*b**2 + 1\/147*b**7 + 1\/21*b**4 - 1\/35*b**6 - 1\/7*b**3 + 1\/35*b**5 + 0. Factor p(o).\nAnswer: 2*(o - 1)**4*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2 + 10\/4 + 2507\/322 and 17\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, 1, -3, 8, 0.4, -0.0599?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2235, 17782, 59767, 141342, 275659?\n\"Answer: 2192*p**3 + 67*p**2 + 2*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o + 8 - 8*o - 4*o + 2*o**2 + o. Let f be d(6). Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1706 + 1726. Let r(d) be the first derivative of d**2\/2 - d - 3. Let g(v) = -25*v + 20. What is m*r(l) + g(l)?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 3 - 3*c**2 + 1 + 4*c**2 + 4*c. Let h be r(-4). Solve -20 = h*o - 0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**3 + 480*n**2 + 22614*n - 98264.\nAnswer: 2*(n - 4)*(n + 71)*(n + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -3*k - 8. Let t = 14 + k. Solve -2*c - t*c + 4*u - 24 = 0, 4 = u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -263212 - -444?\nAnswer: -262768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 35782 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7074 or -7070?\nAnswer: -7070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -271*g - 5958. What is q(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p - p + 4*l = -22, 227774*p + 5*l = 227770*p - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 439 - 159. Calculate the common denominator of 2\/5*(-4850)\/p and -139\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1571900.\nAnswer: 2, 5, 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 5*y**2 - 12924 - 3*y**2 + 12924. Let t(i) = -57*i. Let h(l) = 14*l. Let z(d) = 9*h(d) + 2*t(d). Determine p(z(b)).\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - y + 15 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -2*k + 48. Differentiate 12*j + 2 - k + 8 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 + -10 + 7)\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 631914744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*w - 15*w + 72. Calculate the remainder when 57 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 5*a - 21, -4*j = -4*a - 8 + 28. What is the tens digit of j + -2 + 3 + (1 - -578)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 99 = 5*b - 4*z, 3*b - 2*z - 38 = -11*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (51 - 36) - (-13 + 0 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-33 - -14) + (13 + -9 - -16) + -8 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of -w**2 + 1077. Let y(l) = 12940*l**2. What is a(y(u))?\nAnswer: -25880*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - 3*v + 2013879, 2*v - 1051615 + 3736829 = 4*m. Round m to the nearest 10000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of r**5\/60 + 13*r**4\/12 + 169*r**3\/6 + 11*r**2 + 2*r. Determine c, given that l(c) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38\/57*16\/24.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v**2 - 31*v - 87. Let f be j(-4). Suppose -2*x + 2*g = -5*x + 541, -f*g = x - 189. Is x a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10849 = -1534*l + 2105*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1098 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -7*a**3 - 2*a. Let b(p) = -p**3. Let v(f) = 2*f + 8. Let d be v(-6). Determine d*b(u) + c(u).\nAnswer: -3*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2\/51, 3, -0.4, 6\/5, 78, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-8148)\/1629 - -5)*(-9)\/(-30). Let d = c + -14461\/34390. What is the third biggest value in d, -2\/7, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -52 + 57. Let u be (-2)\/(-3)*18\/(-30). What is the nearest to -2\/3 in -8, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -321, -1163, -2501, -4335, -6665, -9491, -12813?\n\"Answer: -248*s**2 - 98*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 8*h**2 - 511*h + 420. Let v be c(63). Sort 1, 13, 4, v in decreasing order.\nAnswer: 13, 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 158 = -3*c. What is the smallest common multiple of c and 196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 + -8. Suppose 0 = 6*h - 74 + 50. Suppose 1 = 4*t + 21, c*u - h*t = 8. Sort u, 0, -1 in descending order.\nAnswer: 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1635591 months to decades.\nAnswer: 0.0013629925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -79176 + 145907. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 317496431 to the nearest integer?\nAnswer: 17818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, -2\/9, 7, 0.4, 0.3, 4 in decreasing order.\nAnswer: 7, 4, 0.4, 0.3, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*w = 22*w - c - 38726, w + 2*c - 9677 = 0. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -39101544*f**3*x - 141*f**3 - 2*f**2 + 21446*f + 1 wrt x.\nAnswer: -39101544*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - 0. Find the third derivative of 5*d**2 - 3*d**b + 6*d**5 - 3*d**2 - 2*d**5 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9193.\nAnswer: 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 237745.\nAnswer: 5, 17, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = q + 6, 5*p + 0*q + 20 = 5*q. Let v be (-6)\/((-7)\/14 + 1 + p). Factor -5\/2*o**2 + o + 0 + 2*o**3 - 1\/2*o**v.\nAnswer: -o*(o - 2)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -2*l. Let k be 4 - 2 - 15\/5. Let b be j(k). What is the common denominator of -26\/9 and 16\/(-180) - b\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 40631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 y when three letters picked without replacement from {y: 3, b: 3, g: 1, s: 2, c: 2, z: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 25 = 0, -4*w = 6*z - 2*z + 8. Let i(f) = -4*f**3 - 5*f**z - 27*f**2 + 19*f**2. Let j(a) = -a**3 - a**2. Calculate 3*i(h) - 24*j(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-12*u + 9*u - 13*u)*(-2*u + 6*u - u)*(-4 + 1 - 1)*(-3 + 7 - 2) to the form k*u**2 + f*u + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 17*o**2 - 18*o - 20. Give c(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 1553*b + 525. Calculate v(1).\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 52 - -5513?\nAnswer: 10005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 6:55 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the first derivative of 2*m**5\/5 + 5*m**2\/2 - 3. What is the second derivative of k(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 592a (base 11) to base 8\nAnswer: 17140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 37*r. Let h(t) = 3*t. Determine h(v(q)).\nAnswer: 111*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jbjbjjjj. Give prob of picking 3 j.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6025, -3395, -763, 1871?\nAnswer: 4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1036, -1066, -1096, -1126, -1156, -1186?\n\"Answer: -30*h - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 85 - 48. Let d(x) = -8162*x - 57086. What is the remainder when d(-7) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/((-8)\/6)*(-590)\/(-27612))\/(885\/(-354)).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 116386712 by 29096678.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**2 + 10*n - 7. Let r be q(8). Calculate the highest common divisor of r and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of (3\/(-2))\/(1\/(-92))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 157144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0\/2 - -3 - 3. Suppose -2 = 3*o - l - 8, o - 3*l - 2 = 0. Is (o + q)*1043\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3*b**2. Let t(a) = -257*a - 25*a**2 + 257*a. What is t(r(h))?\nAnswer: -225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2172 + 2172. Let n = 124 - 501\/4. What is the nearest to 5 in n, k, -9\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -30 * 2885520.\nAnswer: -86565600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 AM and 9:26 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2 + 3*w + 4. Let q be j(3). Let g be (-2)\/(-5) + q\/(-10). Suppose -4*h - h + 265 = g. What is the remainder when h is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123476972 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 23927373 divided by -7975791?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 14164874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-42 - -10 - -7) + 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 158 and 50.\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -1326 = 3*f - 2*z - 1319, 0 = -2*f + z - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f\/(f**(-5)\/f))**45)**33 assuming f is positive.\nAnswer: f**11880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n*n*n**(-13))\/(n*n\/n**(2\/7)))\/(n*n\/(n\/(n*n**(1\/4)*n*n)))**23)**(14\/13) assuming n is positive.\nAnswer: n**(-3065\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -447*n**3 + 2*n**2 - 1. Let c be u(-1). Let i = c - 288. Let t(k) = 2*k + 4. Let f be t(6). What is the greatest common divisor of f and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4206*n**3 + 2107*n**3 + 8 + 56*n + 88*n**2 + 2*n**4 + 2133*n**3 - 8 = 0. What is n?\nAnswer: -14, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-5)\/(-15))\/(1\/3). Let i(o) be the second derivative of -o**4\/12 - 11*o**3\/6 - 7*o**2 - 19*o. Let s be i(-10). Sort 2, -5, r, s in decreasing order.\nAnswer: 2, r, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**(2\/19)*c*c\/(c\/(c*c**6\/c)*c))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -19 (b) -6 (c) 19 (d) 1.6 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 92288977127 and -322?\nAnswer: 92288977449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 4 + 7 + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 162 and 3368466.\nAnswer: 3368466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*l = -11*l - 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of k**2 + 446*k - 1228 wrt k?\nAnswer: 2*k + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h - 5*h + 0 + 2*h + 9. Let a be z(8). Let j(k) = 2*k**3 - k**2 - 3. Let n(f) = f**2 + 3 - 2 + 0*f**2 + f. Calculate a*j(y) + n(y).\nAnswer: 2*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -11*p*z**4 - 217*p*z**3 - 255*p*z**2 - 4463*p - 214*z**5 wrt z?\nAnswer: -264*p*z - 1302*p - 12840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -184 - 46*f + 184.\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -2*d**2. Let g(k) = -k - 1. Let x(u) be the second derivative of -u**4\/12 - 11*u**3\/6 - 11*u**2\/2 - 29*u. Let j(z) = -44*g(z) + 4*x(z). Give j(w(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 50 - 48. Let h(l) be the second derivative of 0*l**k + 1\/27*l**3 + 0*l**5 + 0 - 2*l + 1\/27*l**4 - 2\/135*l**6 - 1\/189*l**7. Determine s so that h(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2885513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -24977*q**4 + 7413*q**2 wrt q.\nAnswer: -599448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -6 - (7 - (586 - 7)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2149325838.\nAnswer: 2, 3, 11, 10855181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 + 22. Suppose -a*h - 10 = -4*h. Sort -0.5, -1, h in descending order.\nAnswer: -0.5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -153*o**5 - 72*o**5 + 7706*o**2 - 7407*o**2 wrt o.\nAnswer: -13500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 369 and 6?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 68 - 66. Sort 1, -0.4, -4, w in descending order.\nAnswer: w, 1, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from {b: 2, w: 1, o: 2, j: 1, p: 1, d: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-3 + (1 - 2) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 931590994 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5084, 5076, 5070, 5066, 5064?\nAnswer: 5064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 65 (base 9) to base 13.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/p**9*p)\/(p**13\/p) assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 11010 (base 2) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 11022020112?\nAnswer: -11022020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -19043 divided by -1?\nAnswer: 19043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 335\/14 + -171\/7. Let v = -1.5 - -2. What is the nearest to c in v, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21000111 (base 3) in base 12?\nAnswer: 2b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*h*o**2 - 39673*h*o + h - 11828*o**2 wrt o.\nAnswer: 14*h - 23656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pbpbbbbbbppbbbbbbb. Give prob of picking 1 p and 1 b.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22*a**6 + 2*a**5 - 4*a**2 - 65*a wrt a?\nAnswer: 2640*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -2*b**3 - 75*b**2 + 213*b + 505. Determine d(-40).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 48 (b) -5 (c) 0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -49\/3? (a) -17 (b) 3 (c) 4 (d) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 5*q**2 + q + 6. What is the lowest common multiple of ((-7)\/((-175)\/10))\/((-4 + -2)\/(-60)) and w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 176, -4, 297, 1, -64 in increasing order.\nAnswer: -64, -4, 1, 176, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 15) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b - 8. Let j be p(-6). Let g(m) = m**2 - 2. Let h be g(3). Let v = j + h. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28863 is divided by 7213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9376 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1302 (base 4) to base 16\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -81, -442, -1053, -1920, -3049, -4446, -6117?\nAnswer: -8068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 10 + 5. Let n = r - -7. Find the second derivative of -n*g + 0*g + g**5 - 3*g**5 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the second derivative of -o**7\/7 - 7*o**6\/15 + 11*o**5\/2 - 65*o**4\/6 + 8*o**3\/3 + 12*o**2 + 362*o + 2. Suppose n(m) = 0. Calculate m.\nAnswer: -6, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1605 times -0.1?\nAnswer: 160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3222 + -45029\/14. What is the common denominator of 87\/8 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -3 + 9, 2*c - 3*x - 76 = 0. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15368831 is divided by 1152?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 - 6*l - 5. Give q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 8) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2134.37 minus -418?\nAnswer: -1716.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -261911 or -262989?\nAnswer: -262989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + 2.7. Let s = p + 0. What is the second biggest value in -4, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.445514 seconds in minutes?\nAnswer: 0.0240919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 970 and 1940.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**2 + 3*a**2 - a**3)*(27 - 10 - 7).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -54\/3023977 and -83\/404481?\nAnswer: 63503517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 15 = 18. Suppose -4*x + 51 = -d, 5*x - 48 = g*x - 4*d. Solve i = 4*c - 19, 3*c = -2*i + 5*c - x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 - 11*v + 16. Let t = 10 + 0. Calculate the remainder when 15 is divided by g(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 2*k. Let j be x(1). Suppose -j*z = -6*z - 8. Let c be -1 - (z + -2 - 0). Solve 0 = c*h - i + 4*i + 6, -i = -3*h - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -57, -108, -159, -210?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzre when four letters picked without replacement from czrczcceca.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes after 11:51 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 51564460 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 154 + 511 = 0. Suppose 228 = 4*w - t + 76, 3*w + 4*t - g = 0. Round w to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/4563 and -29\/390.\nAnswer: 45630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -72 + (13 - (-13 + 43) - -5 - -10) + 13.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1*sqrt(2800) + sqrt(28))\/(sqrt(40)\/(sqrt(30)\/sqrt(3)) + sqrt(4)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)*5)\/(sqrt(160) - (sqrt(160)*-1 + sqrt(160))) + 4*(0 + sqrt(300) + -1))**2.\nAnswer: -340*sqrt(3) + 21739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5279*b**4 + 93*b**2 - 1556838*b wrt b.\nAnswer: -63348*b**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 4*o. Let t(v) be the first derivative of -3*v**2 - 16. Give t(j(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -6*n**3 - 4*n**2 - 7*n + 4. Let s = 15 + -13. Let r(j) = -2*j**3 - j**2 - 2*j + 1. What is s*f(t) - 7*r(t)?\nAnswer: 2*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**2 - 90*l + 6075.\nAnswer: -(l - 45)*(l + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1661*f**3 + 910.\nAnswer: 4983*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.6 - -3.4. Let f be 129\/30 - (-11 - (-377)\/26). Let a = 0.3 - 0.1. Sort f, a, r.\nAnswer: a, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 24 = w, b = 5*w - 3*b - 36. Let r(p) = 2 + 2*p**3 + 6*p - w*p - 3 + 0*p + 4*p**2. Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 101*t**2 - 34*t**2 - 30*t**2 - 39*t**2. Let s(g) be the first derivative of -g**3\/3 - 1. Calculate u(s(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/((d*(d**(2\/11)*d*d)\/d*d)\/d*d)*d\/(d\/(d**(-5)\/d)))**(1\/6))**(-16) assuming d is positive.\nAnswer: d**(240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -0.4 bigger than 230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(-2*sqrt(152) - sqrt(152)))\/sqrt(4)*6)\/(sqrt(16)\/sqrt(8)*1 - sqrt(98)*2).\nAnswer: 90*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 31, -52, -191, -386, -637, -944, -1307?\n\"Answer: -28*u**2 + u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - 3, -5*k - 101 = -0*k - v. Let l = k + 20. Solve -8 = 4*i, l*r + 2*r - 6 = i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -218340 * 0.022\nAnswer: -4803.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 23574 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3300 and 12000.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-117)\/52)\/((-6)\/8). Suppose -2*c + 0*c = -d*u + 17, 3*u + 4*c - 11 = 0. Solve -u*m + m = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7 and 143202.\nAnswer: 1002414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(0 + (sqrt(288)\/(sqrt(48)\/sqrt(4)))\/(6*sqrt(60)\/sqrt(5))))**2 + 2.\nAnswer: 37\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**2 + 3*s - 7. Let q(v) = -v**2 - 3*v + 8. Let u(y) = 5*n(y) + 4*q(y). Let a be (-2)\/(-4)*0 + -6. What are the prime factors of u(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5808 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -50*u**3 - u**2 - 4*u + 5. Give h(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is b75 (base 13) in base 8?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -198 + 201. Is 62\/(-93) + 13463\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 14*z - 95 = 0. Let x(g) = -g**3 - 4*g**2 + 7*g + 4. Let w be x(-5). Which is the third smallest value? (a) w (b) -1\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-6*w + 3*w + 6*w)*(-1 + 2*w + 1) - w**2 - 3*w**2 + 0*w**2)*(1 - 1 + 2*w**2) to the form r*w**4 + n + u*w**2 + g*w**3 + k*w and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -9\/2 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 3*r - 10. Let v be j(4). Differentiate -13*t**4 + 6 - v*t**4 - 1 + t**4 wrt t.\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 4*q**2 + 4*q - 4. Let n be f(3). Let s(c) = -3*c - 1 - 116*c**3 - 4*c**2 + 2*c**2 + c. Is s(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:27 PM and 10:09 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 325725 divided by -65145\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 - 20*i**2 + 27. Let t be y(-20). Suppose t*n = 9239 - 2705. What is the smallest common multiple of n and 14?\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o\/(o**(7\/6)*o))*o\/(o**4*o)*(o**(1\/4))**(-12\/7))**(15\/4) assuming o is positive.\nAnswer: o**(-685\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -2*p - 1. Let s(w) = w**2 - 7*w - 4. Let m(f) = f**2 - 28*f + 161. Let y be m(21). What is y*l(o) - 4*s(o)?\nAnswer: -4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeetbarreieberrtbb. Give prob of picking 1 t and 1 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6775, 12323, 16667, 19807?\nAnswer: 21743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/((-2)\/(-4)))\/1. Factor 2\/7*m**3 + 0 - 2\/7*m**4 + 0*m + 0*m**k.\nAnswer: -2*m**3*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*(sqrt(98) - (2 + sqrt(98)))*2)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (48\/(-16))\/(6\/3)*(-18)\/(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 147 or -4.099?\nAnswer: -4.099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7781057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w**2. Let v(h) = -160865583*h. What is k(v(d))?\nAnswer: 51755471587859778*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 + 6*s**2 + 3*s + 1. Let d be z(-5). Suppose -5*u = -59 + 14. Let x = d - u. Solve 4*y = x*v - 20, 5*y + 11 = v - 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the second derivative of -806*a**6\/15 + 2023*a**4\/12 - 1431*a. What is the third derivative of x(d) wrt d?\nAnswer: -38688*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 0 - 6*r + 25 + r + 3*r. List the prime factors of i(-5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1924, -1908, -1902, -1912, -1944?\nAnswer: -2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lld. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/39)\/((-12)\/(-2) + -5).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 25b (base 13) to base 5.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1010 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/((-2)\/(16\/4))*2\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/5, -3059, -0.1, -2 in descending order.\nAnswer: 4\/5, -0.1, -2, -3059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.11 - 1.89. Let f = 1364\/4725 - 2\/675. Which is the biggest value? (a) r (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 8 = -4*r. Let z = 0 + r. Solve 3*u = -2*m + 14, -4*m + z*u + 2*u = -6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 48*k**2 - 51*k + 3.\nAnswer: 3*(k - 1)*(16*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 PM and 4:59 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1220 (base 16) in base 12?\nAnswer: -2828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 168435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26106, -26191, -26334, -26535?\nAnswer: -26794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**1)\/y)**(4\/17)*(y\/y**6*y)\/y**(-2\/15) assuming y is positive.\nAnswer: y**(-926\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 152371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 5071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 + 18*k**2 + 24*k + 21. Let g(p) = -3*p - 6. Let j be g(1). Let l be n(j). What is l rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.24 - 4.2402291. What is p rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the first derivative of u**2\/2 - 10. Let g(y) = 3*y**2. What is g(x(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 993 (c) -2\/33 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -11*u + 11. Let z(m) = m**2 + 4*m - 3. Let v be z(-4). Let g be k(v). Suppose 0 = 2*s - 177 - 43. Calculate the greatest common factor of g and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (11 + 153782 + 7)*200\/(-1). Round g to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -805*l**2 - 159*l + 71*l + 31*l**3 + 88*l.\nAnswer: 31*l**3 - 805*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -2*x + 108, 7*x + 5*y - 177 = 3*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 13 = 4*b, -18*b = -23*b + 3*l + 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/5 + 54\/5. Let d be 29\/(-4) + 20\/80. Let w = d + c. Solve -27 = -w*p + 5*f, 3*f = -5*p + f + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (300\/(-125))\/(-1 - 6\/(-10)). Which is smaller: z or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 47 + 80 + 2*h - 103 + 38 to the form m + r*h and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0\/1 - 2 - -5. Suppose -w*m - 2*m - 33 = -2*x, m = -3. Is 10 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20321414 (base 5) to base 9.\nAnswer: 274206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -16*u - 47. Let v be a(0). Let r = 49 + v. Suppose 0*n + 8 = 2*n. Sort n, -7, -4, r in decreasing order.\nAnswer: n, r, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 6) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -122 - 124 + 249 + 3*y**2 - y**4 as k*y**4 + f*y**2 + c*y + r*y**3 + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of -1\/36*h**4 + 1\/60*h**5 + 0*h**3 + 6*h + 0 + 0*h**2. Determine m so that x(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -389, -990, -2029, -3506, -5421, -7774?\nAnswer: -10565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*m - 2*m - 10*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of r**4\/4 + 7*r**3\/3 + 5*r**2\/2 - 5*r - 3. Let v(s) = -s - 6. Let q be v(-8). Suppose -q*h - h = 18. What is k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 5*r + 5. What is q(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000022043891 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 2*u - 14, 0 = 3*v - 18*u + 22*u. Calculate the lowest common multiple of v and 1208.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36468154 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -10*d**2 + 569*d + 2475. Determine p(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 387\/86 + (4\/10 - (-4097)\/170)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -5, -0.1, -181, -0.17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -9*p**3 - p**2. Let h be 3*(-5)\/(-3) + -6. What is r(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 180587 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 620 divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4329 and 2587299?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 3065, 11592, 25793, 45662, 71193?\n\"Answer: -a**3 + 2843*a**2 + 5*a + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*r + 1 + 5*r + 18*r + 26*r.\nAnswer: 57*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*t - 540 = -116*t. Calculate the highest common divisor of 420 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 72 and 3294?\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 101, 100, 99, 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes before 7:06 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38602109.\nAnswer: 7, 13, 424199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 3 = -0. Suppose -b*u + o = -3 - 152, 0 = -u - 5*o + 25. Let g = u - 15. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 7*o + 18. Let a be g(-7). Let n = a + 35. Let w(v) = -v**3 + 4*v**2 + 3*v + 1. What is w(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k**2. Let z be (-4)\/(-2) - (5 - 5). Let w(n) = -n + z*n + 0*n. Give w(y(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2950 + 4145. Suppose -4*k + 717 = 3*t, 2*t - k = -3*t + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*m - 299 = -520 - 475 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 57\/920 and -61\/2024.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q*q\/(q*q**(-1)*q))))\/q)**4\/(q*q**(-4)*q**(-1\/6)) assuming q is positive.\nAnswer: q**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14734 - 14687. Solve -191 + r = 36*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 340 and 38476236?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61 = 4*g + 5*k, 3*g + 55 = -2*k + 11. Let w be g\/18 + 10\/(-45). What is the units digit of (7*w)\/(3 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2950768.2 and -1383.\nAnswer: -2952151.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47232 + 11805 + 11808 + 11811 + 14*h + 11808.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 28.6 + -29. Let b = 0.33 - 0.3. Let l = b - 2.03. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 38\/47 - 284\/235. Let g be 21\/117 - (-4)\/(-12). What is the biggest value in -0.04, g, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-4)*(-58)\/2. Let c = 17 + u. Factor 1 + 2*m**4 - 1\/2*m**3 - c*m - 6*m**2.\nAnswer: (m - 2)*(m + 1)**2*(4*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -61\/3, -4, -2460, 5?\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 4, v: 6}. What is prob of picking 2 v and 1 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -5*i + 9. Let t(o) = 2*o - 3. Let n(z) = 3*m(z) + 8*t(z). Let u = 22 - 20. Let p(s) = -3*s - 7. What is u*p(y) + 5*n(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/6))**(30\/7)*(n*((n*n*n*n**(4\/13)*n*n)\/n*n)\/n)\/(n\/(n*n*n**(-4\/5))) assuming n is positive.\nAnswer: n**(2831\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4088283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d - 12. Let o = 5587 - 5593. Determine s(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jwjm when four letters picked without replacement from jjmjjjwjwjjjm.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 214 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 141 - 71. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2*d - 5. Let g be m(4). Suppose 8 = 4*s, -h = -g*s + 4 - 0. Let b(a) = a - a - h*a. Let w(y) = -4*y**2. Calculate b(w(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 11:23 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*x - 12 = 16. Let c(a) = 3*a**3 + 3*a - 38*a**2 + 21*a**2 + 23*a**x. Determine c(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -6*m**3 + 3*m**2 - 3*m. Let r(g) = g**3 - g**2 + g. Let p(l) = 8*l + 21. Let i be p(-3). Calculate i*r(z) - v(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 75583 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do 785 and 786 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 805915972?\nAnswer: 2, 79, 2550367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23 and 2484161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.3 (c) -3 (d) -2\/129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 1 - 2)*(-4*l - 2*l + 5*l)*(-4 + 2 + 3) + 298 + 7*l - 8*l - 241 as b*l + x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 2046*k**2 + 10247*k + 14. Determine q(-5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 9*l - 711 = -12*l, -2*j + 4*l = -704. Is 41 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 454, 905, 1356, 1807, 2258?\n\"Answer: 451*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 24570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -52 + 52 + (17 - 1) + -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/12 and -37\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 13*k**2 - 5*k - 16. What is x(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1234999, 5, -4, 1, 3, -3 in decreasing order.\nAnswer: 5, 3, 1, -3, -4, -1234999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 262 - 807 + 270 + 269 + 28*p**3 + 7*p**3.\nAnswer: 35*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112037711?\nAnswer: 179, 625909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.23 - 3.4. Let j = t - 0.03. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 - v. Let u(x) = -132*x**2 - 168 - x + 131*x**2 + 167 + 0*x. Give a(j) + u(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1430 and 23595.\nAnswer: 47190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -190.9 + 4.\nAnswer: -186.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 + 23*y**2 + 2*y + 5. Give u(23).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.4 and -0.0279995499263.\nAnswer: -0.4279995499263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31871 is divided by 384?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 4 + u**2 + 2*u + u + 2*u. Let b be t(-7). Let q be 1 + 3\/(9\/6). Solve -3*n + b = -n + 4*r, -r = -q*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1105327 is divided by 3892.\nAnswer: 3891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 581698 and 17706.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + 35b0f?\nAnswer: 35b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25806.\nAnswer: 2, 3, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of s**4\/12 - 7*s**3\/6 - 3*s**2 - s. Let i be q(8). Let h be (-4)\/(-20) - i\/10. Do h and 1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 50078713 + -5?\nAnswer: 50078709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*y + 24 = -32*y + 7 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*k - 8 = -58*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-4))\/(1\/(-8)). Let a be 24\/(-9) + n\/(-6). Let o = 0 - a. Solve -o*f + 10 = 3*z, f + f + 4*z = 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 646 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vuvvuvuuvvv. What is prob of sequence uv?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, -551.96, 334?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 16) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-10)\/(-260))\/((-5)\/(-1850)). Let v = 5866\/351 - p. Calculate the common denominator of v and -43\/78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -40.98 + 43.98. What is the nearest to i in 0, -5\/2, 6\/55, -4?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 AM and 9:04 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3719379226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -553, 0.2, 969?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -4*j + 36, -2*j + 6*j + 3*q = 52. Does 17 divide j*((-176)\/(-1) - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -166, -891, -2864, -6709, -13050, -22511, -35716, -53289?\n\"Answer: -104*i**3 + 3*i - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**5 + 15*w**4 - 15*w**3 + 5*w**2.\nAnswer: -5*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (850\/(-840))\/(-17) - (-10)\/(-8). What is the nearest to r in 0.1, -1\/2, -0.4, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, a: 4}. What is prob of picking 4 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - -10?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2 - 14 = -2*k, 0 = -4*d. Suppose -3*b = -k - 22. Suppose -165*a + 166*a = b. What is the greatest common divisor of a and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + -8. Suppose v = -o - 1. Let w(f) = 4 + 8*f - 29*f**2 - f - f**3 + 25*f**2. Give w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-10) + (-24 - 11148\/(-480)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of d**5\/120 + d**4\/12 + d**3\/3 + 3*d**2. Let j(s) be the first derivative of b(s). Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(99) - sqrt(99))*-2 - (sqrt(88) + sqrt(88)*1*-2)\/sqrt(8).\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0040711 rounded to five decimal places?\nAnswer: 0.00407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1271071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-2)*0)\/((-10)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7591\/390 + 24\/65. Let w be -159 - (6 - (6 + -1)). Let k = 943\/6 + w. Find the common denominator of k and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 4:29 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 - -11210121111?\nAnswer: 11210121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, y: 2}. What is prob of picking 1 w and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -2*w - 2, w = 2*r + 5*w + 10. Let p = 0 - r. Let s = -4 + 8. Solve -s*n - p = -17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4138, -72, -10, -1 in ascending order.\nAnswer: -72, -10, -1, 4138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 150692855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1*(-1 - -2) - -5. Suppose -h - 3*h = l. Let t(d) = -374*d + 5. Is t(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -145\/18192 and 23\/5?\nAnswer: 90960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -262195, -1048868, -2360021, -4195660, -6555791, -9440420?\nAnswer: -12849553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -17, 0, 17, 34?\n\"Answer: 17*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22 - -22.2. Let d = 1.06 - 7.06. What is the fourth smallest value in -2\/21, 3, a, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 4*v**4 + 8232*v**3 + 5647152*v**2 + 1291315424*v = 0.\nAnswer: -686, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 194659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**3 - 3*m**2 - 2. Suppose 3*y + 2*w - 12 = 0, 2*w = w + 3. Let z(k) = k**2 - y*k**2 - 56 - 47 + 104. Determine c(l) + z(l).\nAnswer: 2*l**3 - 4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 427 + -249. Calculate the remainder when z is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.17 in -4\/9, 4192, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-8) + 1\/(-12)*6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 3*v**4\/5 - 42237*v**3\/5 - 380532*v**2\/5 + 2197728*v\/5 = 0.\nAnswer: -13, 0, 4, 14088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fq when two letters picked without replacement from qllflflqlllyllqlqyy?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1105706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - b = -24. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -4\/9, 0.2, -0.03, 0.071, -0.4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 - 0. Let m = 18.1 + g. What is the biggest value in 2\/11, m, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 18 in 189, 1.3638, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -0.5, 1, -4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2340 + 2337. What is the third biggest value in 20, 18, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 53503\/15 + -3566. Let v(q) = 13*q + 18. Let d be v(-14). Find the common denominator of d\/60 + 6\/(-15) and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = 9*i - 36 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-76)\/57)\/((-4)\/222). Calculate the greatest common divisor of a and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1621*w**2 - 1430*w**2 - 1 + 1.\nAnswer: 191*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, 4, 1, 21649, 5, -1 in increasing order.\nAnswer: -3, -1, 1, 3, 4, 5, 21649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 57668 divided by 1109.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m - 27. Let t(u) = -u - 37. Calculate -6*t(k) + 7*y(k).\nAnswer: -k + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -319b6f (base 16) to base 6.\nAnswer: -153403103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -216 = -2*t + 4*g, 3*t + 4*g + 510 = 8*t. Suppose 2*q = q + 70. Let i = t - q. What is the remainder when 110 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 411707521?\nAnswer: 23, 17900327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*s + 22*s + 3*g - 15 = 36*s, -41*s + 187 = 5*s - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 68 divided by 53\nAnswer: 68\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 60340 and 6160?\nAnswer: 2654960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5115023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/(p\/(p*p**(-30)))*p\/p**(-1\/29)*(p*p**(-2\/25))**(1\/2) assuming p is positive.\nAnswer: p**(-39883\/1450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 669, 1336, 2001, 2664, 3325, 3984?\n\"Answer: -o**2 + 670*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/25)*q*q*q*q**(-22)\/q)**47 assuming q is positive.\nAnswer: q**(-23406\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2516507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 6 - 192 = 93*j + 5*i, -3*j - 6 = i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand s**5 + 0*s**5 + s**5 + (0 + 6 - 4)*(-2*s**5 - 2*s**5 + 3*s**5 + (5 + s - 5)*(-s**4 - 3*s**2 + 3*s**2) - s**5 - 3*s**5 + 2*s**5).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 14, -32986, -46.\nAnswer: -32986, -46, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -5*u - 15. Let t be c(-5). Solve -3*m + i - 1 + 0 = 0, -3*i = -2*m - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -34\/3 and 28\/87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes before 3:16 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -141403296 divided by 3.\nAnswer: -47134432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m - 3 - m - 2*m. Let n(c) = -c**3 + 3*c**2 - 5*c + 2. Let z be n(2). Does 4 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -39, -84, -147, -228, -327, -444, -579?\n\"Answer: -9*w**2 - 18*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 + 12*t**2 - t + 78. Calculate the remainder when 332 is divided by d(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 2*d - 674. Let m = 635 + d. Suppose -u - u = -m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 144 = 4*h, 0 = 5*y - 4*h - 96 - 120. Suppose 0 = -2*m + 2*f + 1 + 5, -4*m + 2*f + 10 = 0. Suppose 3*r = -m*r + y. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from ayiiekbkeiieiekiki.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1))**20\/((w\/(w*w\/((w*(w\/((w*w**7*w)\/w))\/w*w)\/w)))\/w**(6\/5)) assuming w is positive.\nAnswer: w**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/764914 and 93\/2?\nAnswer: 764914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40534341*v**3 + 4*v**2 + 40534343*v**3 - 4*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 356 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 142, 338, 550, 784, 1046, 1342, 1678, 2060?\n\"Answer: y**3 + 2*y**2 + 183*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 115906, 115933, 115960?\nAnswer: 115987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*w - 68629 + 3047 = 0. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 4*l - 541. Suppose -33 = 5*j - l. What is the smallest common multiple of 18 and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l*l**(-4\/7)\/l)\/l)\/l)\/(l*l\/(l**(-4)*l)))**(-19)\/(l**(2\/11)\/l*l*l**(-2))**(-6\/13) assuming l is positive.\nAnswer: l**(143161\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -45723, -91413, -137103, -182793, -228483?\n\"Answer: -45690*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 45 + 29 + 6*r - 39 + 77 to t + f*r and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -60 - 14. Suppose -4*x - 2*m = -12, 6*x - 2*x = -5*m + 18. Let u = 23 + x. Calculate the remainder when t is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 117 divide 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((2\/(-3))\/2)\/((50\/180)\/(-5)). Suppose 5*d + 2*w = -0*w + 19, -d + w + 8 = 0. Solve y - d*f - 22 = 0, -5*y - z = 3*f + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -3*t**2. Let h(p) = -1. Let n(q) = -4*q - 5. Let x(s) = -5*h(s) + n(s). What is x(g(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.2571622 and 134.76273.\nAnswer: 135.0198922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 4*h**2 + 99*h + 160. Determine d(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from {c: 2, v: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(500) + 0 + sqrt(500))**2*5 - sqrt(20)\/(sqrt(48)\/sqrt(3)).\nAnswer: -sqrt(5)\/2 + 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence faff when four letters picked without replacement from afffffffffffafaf.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28293351.\nAnswer: 3, 9431117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of -f**3\/6 - 3*f**2\/2 + 3*f. Let k be r(-3). Solve 3*u + u + 20 = k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 688666 and 1012?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.19 and -0.551894.\nAnswer: 0.10485986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (6*o - 23*o - 4*o)*(1 - 1 - 1)*(-61*o + 9 - 11 - 16*o) in the form u + n*o**2 + p*o and give n.\nAnswer: -1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**4 + 158*u**3 - 462*u**2 + 458*u - 152.\nAnswer: -2*(u - 76)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -1, 44, 3\/32, 17, -1\/8, -49?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*k + 24. Let m(l) = -l**3 + 4*l**2 + 7*l - 6. Let w be m(k). Solve -i + 4*i = -w*u - 5, -5*i = -u - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 190, 181, 166, 145, 118?\n\"Answer: -3*f**2 + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4014 - -28046\/7. Find the common denominator of r and (-126)\/22 + 49 + -40.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(-3\/7)*j**(1\/2))\/(j**(-2\/17)\/j**(-2\/11)))**(-2\/23) assuming j is positive.\nAnswer: j**(-2637\/30107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 5:37 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.5 (b) 6 (c) -1 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -5*x + 705. Suppose -z = 4*q - 102, -5*z - 99 = -4*q - x. Suppose 4*s - z = -18. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 4*d + 112. Calculate the lowest common multiple of 88 and m(-17).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1528472 = 515*o - 603*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15.766 - 0.334. Let j = 17 + s. Let w = j + -1.4. What is the biggest value in w, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7152 (base 9) in base 5?\nAnswer: -131411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1124 * -1\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 - 7*a**2 + 10*a + 6. Let t be j(-8). Let k be (-4)\/t - 81\/15. Let l be -1 - -1 - (-3)\/9*3. Put 5, l, k in decreasing order.\nAnswer: 5, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b**2 - 8*b = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19848 - 19846. Solve -s*m + 4*c + 4 = -4*m, -4*m + 14 = -3*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 8\/3371 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 402105481.\nAnswer: 23, 17482847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 38*z + 244. Give s(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 - -13. Let b be 5 - (1 - 0 - 2). Let o(k) = 101*k - 604. Let p be o(6). Solve 5*a = a + z*v + 19, p*v + b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (-5 + -8) - 6 - (-3 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-8)\/4 - -128) + (0 - -3). Calculate the greatest common divisor of g and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1 - 5) + -12 - (2 + -11)) + 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the third derivative of -a**6\/10 + 3*a**4\/4 + 20*a**2. Find the second derivative of p(c) wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 248\/1890 - 182\/2457. Let d(x) be the first derivative of 2\/21*x**3 + 2 - 4\/7*x + 3\/7*x**2 + v*x**5 - 3\/14*x**4. Factor d(r).\nAnswer: 2*(r - 2)*(r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101111100110100001001110 (base 2) in base 3?\nAnswer: 212110222100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 5*p**2 - 2026830*p - 2026835 = 0.\nAnswer: -1, 405367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o**3 - o**2 + o**2 + 1 + 3*o)*(1 - 1 - 2).\nAnswer: 4*o**3 - 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2852 = 4*q - 3*s - s, 2*s = -10. Calculate the highest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i - 1. Let k be v(6). Suppose -k*w + 791787 = -10176283. Suppose 5*y = -5*q - 9500005, 3*y - 3*q + 3506383 + w = 0. Round y to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 + 2)*(0\/(-2) + 2). Suppose -x*p = -15*p - 770. Which is smaller: -71 or p?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10*i**3 + 2845656*i + 14728494.\nAnswer: -30*i**2 + 2845656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 4*t + 34. Let w(u) = -11*u - 102. Calculate 17*j(d) + 6*w(d).\nAnswer: 2*d - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + 5*u - 15, 0 = 2*m + 4*u - 26 + 2. Solve -2*o = 5*k + 17, 5*o - m*o - 17 = k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -43 - -42.8. Which is smaller: z or 13\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4322\/23 + -188. Let d = -166 + 166.4. Which is the closest to d? (a) -2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the first derivative of -7*s**4\/2 + 2*s**3\/3 + 11*s**2 + 4956*s + 1987. Differentiate f(m) with respect to m.\nAnswer: -42*m**2 + 4*m + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 13245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102115?\nAnswer: 5, 13, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - ((-6)\/(-5))\/(18\/(-45)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 2\/5 (b) 1\/4 (c) -0.1 (d) 5\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4167.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the first derivative of r**3\/6 + 87*r**2\/2 - 3*r + 9. Let b(h) be the first derivative of u(h). Calculate the remainder when b(0) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**2 - 3*f - 8. Let q be h(-10). Let v = q - -86. Suppose z - 36 = -v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 0*p + 6*p - 2*p + 18. Let h be b(-7). Which is greater: h or -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**2 - 146555*p - 10253950.\nAnswer: -(p + 70)*(p + 146485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 35 + (422 - 432).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 117.38 * 0.27.\nAnswer: 31.6926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*q = 47*q + 24108. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u - 5*h + 31 = -4*u, u = 6*h - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 1600884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 791703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f + 7 - 13. Let o = 2 - -1. Suppose -g = -o*y - f*g + 61, 15 = y - g. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - 6) + (7 - 6) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 369.1312ng?\nAnswer: 0.0003691312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -31953.1118 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10*x**6 - x**3 - x**2 - 91*x wrt x?\nAnswer: 1200*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1*396\/42 - 7\/((-539)\/(-33))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -40*r**2*t - 11002*r**2 + 4*r*t**2 + t**2 - t wrt t?\nAnswer: -40*r**2 + 8*r*t + 2*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18495.\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 21663356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.2382 + -0.2382. Put 4, 2\/9, u, 0.004 in increasing order.\nAnswer: u, 0.004, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 2*c. What is p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 11008758 a multiple of 1258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 + 79*w - 234. Give h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -109054, -109053, -109040, -109009, -108954, -108869, -108748, -108585?\nAnswer: -108374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9707.999999371 - -9708. Round q to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*y - i - 19 = 0, -14*y - 4*i - 551 + 589 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 4*q + 0 - 4 + 2 + 0.\nAnswer: -4*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3315 (b) 6 (c) -0.2 (d) -2\/945 (e) 3\/2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - (21 + -12)) + 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -2023948 by -14.\nAnswer: 1011974\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13359938.\nAnswer: 2, 47, 311, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(3\/4)\/(w*w\/(w*w**(1\/3)*w)))**(3\/10))**45 assuming w is positive.\nAnswer: w**(117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 484 a factor of 7050695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from adzlzzzqaldzlzzzzd. What is prob of sequence azd?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i. Let t(d) = -15*d**2 - 11*d**2 + 5*d**2 - 6*d**2. Give t(r(h)).\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = 2 - 12. Suppose -4*u + 17 = k, -u + 4*k + 16 = 4*u. Let n = u - 0. Solve 2*j - 6 = 3*j - t, -l*j + n*t - 20 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, n: 7}. What is prob of sequence nrnn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 879, -11, 4, 0, 465 in descending order.\nAnswer: 879, 465, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 9622724921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*z = 128*z - 204*z - 602 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.41 - 0.01. Let b = 0.2 - g. Let w = b - -0.2008. What is w rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, b: 3, x: 4}. What is prob of picking 2 b and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 203324 (base 5) to base 6\nAnswer: 51030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -6 + -74?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -30\/329497 or -1?\nAnswer: -30\/329497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2458978777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1 - -8029) + -2 + (63 - 68).\nAnswer: 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469742?\nAnswer: 2, 7, 13, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j**0*j)\/j))**(3\/5)*(j*j\/(j*j**(-1)\/j)*j*j)**(1\/2) assuming j is positive.\nAnswer: j**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -23*h**2 + 9*h + 4. Let i(k) = -2*k**2 + k + 1. Calculate -6*i(z) + l(z).\nAnswer: -11*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -682 = 299*z - 237*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38\/9*t**3 - 10\/9*t**2 - 22\/9*t**4 + 0 + 2\/3*t**5 + 0*t = 0. Calculate t.\nAnswer: -1, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -3 - (6\/(-2) - 5). Solve -u*m - 10 = -0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -43149*m + 18873 with respect to m.\nAnswer: -43149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -5*w - 25*w + 2 - 23*w in the form s*w + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3128577749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 590731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 605*a - 22*a**5 - 2*a**4 - 605*a + 2*a**2 + (2*a**3 + 3*a**3 - 3*a**3)*(-10*a + 10*a + 2*a**2).\nAnswer: -18*a**5 - 2*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(1\/8)*v*(v\/(v\/(v**16*v)*v))\/v)**(-18) assuming v is positive.\nAnswer: v**(-1233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g - 12*g = -8. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 8 = -o, -2*a - 1 = 2*o - 5. Sort 0, o, -5 in decreasing order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9586 + -9572. What is the remainder when 2099 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 1701*a + 73216. What is q(-43)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t - 16. Let h be ((-96)\/28)\/2*7*-1. Let g(d) = 2*d + 11*d - h*d. Calculate g(o(n)).\nAnswer: n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 20*(-15)\/(-200) - (-7)\/35*4780\/8\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3 - (-138)\/17) + 176\/(-16). Suppose 4\/17*n**2 + 0*n**3 + 0 + r*n**5 - 4\/17*n**4 - 2\/17*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6925.42463 rounded to the nearest 10?\nAnswer: -6930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 + 22 = -3*c. Let a be ((-21)\/28)\/(4\/c). Suppose 5*q - 9 = -a*w, q = -4*w + 8 + 4. Which is smaller: -3\/68 or q?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of -a**2 - 5*a - 4. Let c be h(-4). Let y(f) = -f - 1. Let d be y(-1). Which is bigger: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 - 1)*(5 + 3). Solve -w = 3*a - 7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 87*m**2 - 93*m + 159. Give b(-3).\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*j**2 - 3*j**3 + 2*j**3 - 3 + 7*j**4 - 3*j**4 to q + c*j + v*j**2 + l*j**4 + y*j**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 3 + 3 + 220*l**2 - 4.\nAnswer: 220*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 73*b + 36. Is z(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 840980\/65 - 2 - ((-608)\/104 + 6).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 877001663?\nAnswer: 10303, 85121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3456 less than 0.2?\nAnswer: 0.5456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-4 + 5)*6\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/60)\/(-11*(-5)\/(-495)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/((-6)\/43))\/(127841\/(-54789)).\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u. Let w = 63 + -57. Let r(c) = -4*c. Let x(s) = w*t(s) - r(s). Let h(n) = 29*n**2. Calculate h(x(d)).\nAnswer: 116*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7352 is divided by 3622?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the second derivative of -y**6\/2 - 3*y**5\/10 + 15*y**4\/4 + 8*y**3 + 6*y**2 - 7*y. Determine f so that m(f) = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (m + 287 + 199 - 137)*(-5 + 3 + 4)*(m - m - 2*m) in the form h*m**2 + k*m + b and give k.\nAnswer: -1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 - j - 1. Let i(q) = 114*q**3 - q**2 - 6*q - 6. What is i(l) - 6*t(l)?\nAnswer: 120*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -18934740 by -393.\nAnswer: 48180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 498089799?\nAnswer: 3, 55343311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-38)\/(-10) - (-179)\/895.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15 - 14.932. Let h = f + -0.808. Round h to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = l - 4*k, 0 = 4*l + 7*k - 3*k - 24. What is the remainder when 21 is divided by (11*1)\/(10\/l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes before 9:17 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 + 6. Suppose 4*s - 2 = g*s. What is the third derivative of b**4 + b**2 - s*b**2 + b**4 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1970)\/25 + 3\/(-15) + 1. What is the remainder when 57 is divided by 87*(m\/(-126) + 2\/(-7))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(245) + -1)**2 + 1 + sqrt(245) + sqrt(245).\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 201*c + 2073. What is f(-6)?\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 4*w - 2*i, -8*i - 104 + 39 = 9*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 3535, 3537, 3549, 3577, 3627, 3705, 3817, 3969?\n\"Answer: j**3 - j**2 - 2*j + 3537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 41*j**2 - 276*j wrt j?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 16941665 divided by 8?\nAnswer: 16941665\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*a - 9*a - 32*a**3)*(3*a**2 - a**2 + 3*a**2 + (-3*a + 0*a - a)*(0*a - a + 3*a)).\nAnswer: 96*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -5, 0, 5, -2\/9, 782?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 - 10*b**2 + 11*b - 1. Let l be d(-11). Let w = l - 0. What is the nearest to 0 in w, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, 0.02, 223, 4.49, -4?\nAnswer: 4.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 96148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2736459 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -10967*f**2 - 14*f + 21. Let x(y) = 5484*y**2 + 6*y - 9. Calculate -3*d(u) - 7*x(u).\nAnswer: -5487*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.06? (a) -1 (b) 12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32439*h**2 + 2*h**3 + 32439*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-14)*((-3)\/9)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 29*j - 2952 - 1224. What is the remainder when 250 is divided by (-27)\/(-4)*768\/j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 4*j - 3. Calculate i(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 199*p - 1136939 - 142432 = 0. What is the remainder when p is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006019 to five dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 423\/4 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 5537.002 millennia to months.\nAnswer: 66444024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -86534775\/19 or 2\/7?\nAnswer: -86534775\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 12*d = -15. Determine j, given that -8*j**4 + 2*j**5 - 4*j**d - 7*j**3 + 5*j**3 + 36*j**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9705538*r**4 + 355539*r**2 - 4*r + 2 wrt r?\nAnswer: 232932912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/(-2))\/(2\/(-4)). Let l be (129\/42 - 3)*-6. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the first derivative of z**6\/6 + 29*z**3\/3 - z**2 - z + 218. What is the second derivative of c(y) wrt y?\nAnswer: 20*y**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -822.09 to the nearest integer.\nAnswer: -822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {h: 2, c: 18}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(5*6*sqrt(448)*1)**2 - ((-2*sqrt(847) - sqrt(252)*-1) + ((sqrt(126) - 2*sqrt(126))\/sqrt(2))**2).\nAnswer: -403263 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -6*((sqrt(68) - ((sqrt(68)*-2)**2 + 0)) + 4 - 2*(4 + sqrt(68) + sqrt(68)*2 + sqrt(68))**2).\nAnswer: 756*sqrt(17) + 14852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of -x**8\/840 - x**5\/10 - 3*x**3\/2 + 6*x. Let j(o) be the second derivative of m(o). 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: Let z be ((-15)\/12 - -1)*-4. Let b(i) = 62*i**2 - i + 2. Let n be b(z). Let l = -443\/7 + n. What is the third biggest value in l, 3\/2, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 - 16*y**2 - 5*y + 3. What is the tens digit of u(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) -652143 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 708\/20 - (-2)\/(-5). Suppose 5*x - 1410 = 5*w, -3*w - 262 = -5*x + 1144. What is the greatest common factor of x and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -6 (b) -1\/8 (c) 2\/15 (d) -4 (e) 0 (f) -2 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -88507048 to the nearest ten thousand.\nAnswer: -88510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55 + 4202*n**2 - 2103*n**2 - 2103*n**2 + 55.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 20753108 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3746 - 221010\/59. Which is the second biggest value? (a) -2 (b) 0.2 (c) 2\/3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 332 divide 383703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n - 1. Let g(r) = -5*r - 2. What is g(o) + 2*m(o)?\nAnswer: -3*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 - 9*r - 12. Let x be y(-8). Let g(a) = -5 + a + a - 4*a. Let p be g(x). Solve 0*s + p = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -611 + 836. Calculate the greatest common divisor of g and 1275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 8, 5, 2, 78 in decreasing order.\nAnswer: 78, 8, 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103*y**2 - 25*y + 10*y + 15*y + 230*y**2 - 106*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 37661686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 AM and 11:25 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + 2. Suppose 5*n = 5*p - 20, 0 = 4*n + 3*p - 5*p + 10. Which is the nearest to f? (a) 0 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1100101 (base 2) in base 3?\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 299681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -11*r**2 + 195*r - 90. What is d(17)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 115 + 7*j**2 - 115 - 21*j**2 in the form m*j + y + q*j**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 10*q + 90. What is the remainder when 70 is divided by 8\/q*(5 + 316\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -1.3, -6, 3, 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 26001005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -439784, -879573, -1319362, -1759151, -2198940, -2638729?\nAnswer: -3078518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 440 = 2*m + 9*m. Suppose -5*v + 9*v - m = 0. Suppose 3*a = 2*n - 2 - 4, -v = n + 5*a. Solve n*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*p - 20*p**5 + 5*p**5 + 4*p + p wrt p.\nAnswer: -300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 106, 187, 248, 289, 310, 311, 292?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12 and 570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*b + 4*c + 40 = 64, -c + 11 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.081 + 6.069. Let q = s - 1.15. Is 2\/5 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1484 and 7208.\nAnswer: 50456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -52047 divided by -1.\nAnswer: 52047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes after 9:07 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1708 times -0.2?\nAnswer: 341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (109*j - 295 + 295)*(11 - 26 + 14).\nAnswer: -109*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 28*c**5 + 4*c**2 - 22*c**2 - 12*c**5 wrt c?\nAnswer: 960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -5, -18\/7, -21, 2\/29, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.6 + -1.6. Let s = a - -9.85. Let x = -0.05 + s. Is x at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in g**2\/6 - 1471*g\/3 - 1250261\/2 = 0?\nAnswer: -961, 3903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -18522354 divided by -2\nAnswer: 9261177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -7*y + 79. Let p be q(-15). Let k = p + 254. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31 - -203983077?\nAnswer: 203983108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p**2 - 1224*p - 96460 = 0. Calculate p.\nAnswer: -65, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 99 + 25 + -97 + 18.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-3)\/v**(1\/6)*(v**(-2)*v)**(1\/59))\/(v\/v**(-3)*v\/(v\/(v\/(v**(3\/8)\/v))))**(3\/29) assuming v is positive.\nAnswer: v**(-154627\/41064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be 29\/58*-1*((-1)\/2 + 1). What is the nearest to -3 in 4, -1\/3, q, -14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.03? (a) 2 (b) -3\/5 (c) -4 (d) -2\/25 (e) -102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 15628 * 2585\nAnswer: 40398380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 577178 by 343.\nAnswer: 82454\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31129 or -31054?\nAnswer: -31129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2 - 26*x + 29. Let s be m(25). Suppose -s*a - 4*b + 197 = -3*b, -253 = -5*a + b. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*z**3 + 39*z**3 + 24*z**2 - 279 - 5*z**3 - 15*z**3 + 279.\nAnswer: 6*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-7\/6))**(-10))**(-31) assuming n is positive.\nAnswer: n**(-1085\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the first derivative of -w**4\/4 + 7*w**3 + 8. What is the third derivative of v(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r**3\/2 - 17818*r**2 - 71275*r\/2 - 17819 = 0. What is r?\nAnswer: -1, 35638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 1\/47, -1\/4, 5.2552?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -53200 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p - 1. Let f be c(-28). Suppose -2*a = -490 - 448. Let q = a - 334. Calculate the greatest common divisor of f and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25, 49, 67, 79, 85, 85, 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**2 + 3*s**2 + 0*s**2)*(4 - 4 + s**2) + 2*s**4 + 2*s**4 - 2*s**4 - 2*s**2 + 7*s**4 + 1741*s**3 - 1741*s**3.\nAnswer: 11*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 17561096 divided by 1114?\nAnswer: 15764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1*-2)\/(-74))\/((-181)\/(-4706)*-13).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 36773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -13+14.947\nAnswer: 1.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4051320 and 581940?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21140097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -22282007, -44564021, -66846035, -89128049?\n\"Answer: -22282014*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**3 + 8*w**2 - w - 6. Let m be j(-8). Let x = -0.3 - -0.1. Let d = 15 + -15. Which is the second smallest value? (a) x (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 143281825 to the nearest integer?\nAnswer: 11970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 AM and 4:07 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 29854353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2330 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 36*z**2 - 84*z - 2. Let n be c(17). Suppose 22*f = 20*f + n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -11, 4, 29, 70, 133, 224?\n\"Answer: z**3 - z**2 + 11*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -146*s + 9056. Let h be i(62). Let m(d) be the second derivative of 1\/72*d**h + 0*d**2 - 1\/9*d**3 + 0 - 38*d. Determine r, given that m(r) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*z - 147 = -74*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-5 + 5 + (0 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s + 3 + 1. Suppose -s = -r + 3*d, -2 - 1 = 3*r - 3*d. Does 7 divide r\/(2\/(-11) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2818*w + 10856 = -1465*w - 1471*w for w.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**3 - 2*y**2 + 2*y - 5. Let i be r(0). Let d(j) = j**3 + 6*j**2 + 4*j + 1. What is d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 + -7. Let c = 4.004 + o. Let g = c - 0.00400051. Round g to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand p - p - p**2 + 5*p**2 + 0*p**2 - 3*p**2 + (3*p**2 + 2*p**2 - 6*p**2)*(0 + 2 - 3) + p**2 - p + p + 4*p**2 - 3*p**2 + p**2 + 16 - 29 - 2*p**2 + 15.\nAnswer: 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -54 + -5?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w**3 - 8*w**2 + 8*w**2)*(-2 - 3*w - 11 + 7).\nAnswer: 12*w**4 + 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000083791 to 6 decimal places.\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 14) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s*(((s\/s**(1\/14))\/s)\/s)\/s))**(1\/28))**(-2\/51) assuming s is positive.\nAnswer: s**(-29\/9996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 16293996 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1024 and 566144.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-24)\/20*(-10)\/4. Suppose w - 517 = 5*v - 96, 3 = 3*w. Let r be v\/(-32)*2 - (-21)\/28. Solve r = -0*o + h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -8305 (base 11) to base 8\nAnswer: -25410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 437*s + 3*s**2 - 2*s**2 - 435*s.\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1\/(-2))\/((-14)\/1120).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -302*c. Let x(q) = q**2 - 29*q - 163. Let u be x(41). Let r(i) = 332*i - 662*i + u*i. Calculate r(n(g)).\nAnswer: 302*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*w + 9606 = -45*w. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56699436?\nAnswer: 2, 3, 4724953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 2*((-1 - -2) + 150\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + ((sqrt(1568) + 0)**2 - sqrt(128)\/sqrt(4)*-4))*-2*2.\nAnswer: -6268 - 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 11) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 388 - 372 - (-21 + 2)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-12 - (-1 - (-1 - (-26 + 12)))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8872108?\nAnswer: 2, 7, 316861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 320 divide 272483604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t**3 - 5*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the second derivative of -b**4\/4 - 11*b**2\/2 + b. Suppose -4*w + 28 - 72 = 0. Let s(k) = -3*k**2 + 0*k**2 + 2*k**2 - 4. Give w*s(j) + 4*u(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -23242022 (base 5) in base 11?\nAnswer: -135422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 102 + -82. Suppose -r*a = -94 + 14. List the prime factors of (316\/(-8) + 3)\/(a\/(-8)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 77 + 99. Suppose 16*x - 16 - i = 0. Solve 3*y - x = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 557140006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -1009*k - 366. Let o(a) = 504*a + 184. Let p(y) = 7*o(y) + 3*r(y). What is the derivative of p(d) wrt d?\nAnswer: 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q - q + 0*q. Let z(u) = -3*u**2. Let r(j) = 5*j**2 - 5*j**2 - 2*j**2. Let m(x) = -5*r(x) + 3*z(x). Determine k(m(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**8)**(-2\/31)*d*d*d**8*d*(d**(3\/17)*d*d*d)\/d assuming d is positive.\nAnswer: d**(6672\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of 2*i**4\/3 + i**3\/6 + i**2 - 2*i - 10. What is the units digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 2*k. Let a(w) = w. Suppose 3*p = 2*j - 16, -p - 2*j = -0*p - 8. Let s be p\/(-4) - (-9)\/(-6). Calculate s*i(x) + 4*a(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9205 - -128927\/14. Let m = -8\/275 - 13993\/1100. What is the common denominator of z and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 0.5, 99\/127, 5, 148, -1 in decreasing order.\nAnswer: 148, 5, 2, 99\/127, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 229*w + 9168. Suppose 111 = 2*t - 4*f - 27, -110 = -2*t - 3*f. Calculate the remainder when t is divided by p(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 4290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -11*s**2 + 46*s - 6. Let z be w(4). Suppose -z*v + 5*v - 111 = -3*g, 194 = 5*g - 4*v. Calculate the greatest common divisor of g and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4*4\/32)\/((-6)\/(-144)). Let s(g) = 2 + 3*g**3 - h*g + 2*g**2 + g**3 - 3*g**3 + 15*g. Calculate s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1941)\/(-18) - (-11)\/66. Suppose -366*s + 370*s = u. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -39 + 45. Let k be (8\/z)\/((-50)\/(-225)). Let a(h) = -3*h + 6. Determine a(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 + 30*h + 28. What is a(-29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136 + 136 + 19*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.3 (b) -27 (c) 1 (d) 7 (e) 21\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - -2. Let v(m) be the second derivative of -m**4\/12 + m**3\/6 + 2*m**2 - m. Determine v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1092479960 rounded to the nearest one million?\nAnswer: 1092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 2*w - 4 = 0, -4*w + 20 = -2*m + m. Let d(n) = -n**2 + 3*n - 5. Let z be d(m). Let v = z - -54. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 1 = -2*f, -25*q = 4*f - 4*q - 20*q + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 250695276 to the power of 1\/2, to the nearest integer?\nAnswer: 15833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -54 (base 6) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 1 + 3 - 560*i**2 - 1 + 561*i**2.\nAnswer: i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d**3 + 78 - 78 + 4*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -181.7 (b) -2 (c) 1\/15 (d) -3 (e) 3 (f) 1 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - (24\/(-4) + 4). Suppose -4*l + 12 + 16 = w. Let d be (1 - (-4 + 1)) + -9 - -2. Put l, d, -1 in descending order.\nAnswer: l, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/11*a**4 - 202\/11*a - 206\/11*a**3 - 406\/11*a**2 + 0.\nAnswer: -2*a*(a + 1)**2*(a + 101)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b + 4 - 4. Suppose -2*u - 2*u - 5*q - 13 = 0, 4*u + 3*q + 11 = 0. Let s(z) = z + 1. Determine u*s(v) + 2*p(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**3 - 7*z**2 + 8*z + 5. Let r be o(-8). Suppose 6*x + 142 = 52. Let j = x - -15. Solve 20 = r*u - j*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 485 + 15?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -555, -9.\nAnswer: -555, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 927 and 252?\nAnswer: 25956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -28*d**2 + 3*d - 2. What is u(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -5*t**2 + 36907280*t - 68107365849920 = 0.\nAnswer: 3690728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 2 - 0) + 1 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g = 3*q, 17*q = 2*g + 12*q + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 + 5*b**2 + 2. Let t be z(-5). What is the second derivative of 0*w**t + 0*w + 0*w**2 - 3*w + 3*w**5 wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 4*u - 13. Let o be i(4). Suppose -6*s = -11*s + 20. Solve 0 = -s*c + 2*m - 22, -4*c + 5*m - 28 = -o*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -6*m + 15. Suppose -m*p = -2*y - 13, p + 2 = -y - p. Which is the closest to -0.3? (a) y (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*s + s + 16*s**4 + 3*s**3 - 18*s**4 as d*s**2 + b*s**4 + f + o*s**3 + z*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 3*g = 4. Calculate the remainder when 36 is divided by -5 - g - (-15 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 969*r + 11954 = 691*r for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -106*f**3 + 5*f - 59. Is a(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.21 * -668300\nAnswer: 140343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -9*s**3 - 2*s**2 - s + 7. What is the hundreds digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9523114l to millilitres.\nAnswer: 952.3114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 32 and 6264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 203 + 36 = 4*n, 2*n + 4*y = 124. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = k - 8, s = k - 31. Let m(h) = -2*h - 8. Let a be m(-6). Let j be (-2 - s\/14)*a. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -582 + 580. What is the smallest value in t, 2, 590?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-6*-1*(0 + sqrt(243))*3*-5)**2.\nAnswer: -1968300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 862 = 3*t, 2*t - 4*h = 196 + 376. Let y = 299 - t. Solve 2*f - y = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 196*o**2 - 314 with respect to o.\nAnswer: 392*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/18)\/((-24)\/(-144))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5.48 or -4562?\nAnswer: -4562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + 3 + -4 - sqrt(5))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-183*l + 7*l + 11*l)*(5 - 2 - 5)*(-5*l + l - 2*l).\nAnswer: -1980*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1104268 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 AM and 7:00 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -853813, -1707656, -2561521, -3415408, -4269317, -5123248, -5977201?\nAnswer: -6831176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 + -10. Let m be (10\/(-15))\/(v\/3). Factor m*s**4 + 0*s**2 + 0*s + 0 - 1\/2*s**3.\nAnswer: s**3*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sulqm. What is prob of sequence mu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1315515 is divided by 466?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, z: 1, b: 1, x: 2, u: 1, h: 1}. Give prob of picking 2 u and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find p such that p**4\/2 + 69*p**3\/2 + 603*p**2\/2 + 743*p\/2 - 708 = 0.\nAnswer: -59, -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-24)\/132 + 255\/11. Let n = 5 + -3. Suppose b + 4*j = 131, -j + n*j = 4. What is the highest common factor of b and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -6*h - 7. Let i be j(-6). Let t = i - -2. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/6)\/(12\/234). Let o = 25 - s. Suppose 0 = 2*d + d + o. Which is bigger: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -58*c + 12. Let m be n(0). Let v(h) = -h**3 + 13*h**2 - 12*h - 7. Calculate v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-14)*(-36)\/135*-5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/(-54) + (-6)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) + 0 + 4 - (sqrt(17) + 1 + 1)) + -4 - (-2*sqrt(187)*3 + sqrt(187))\/((sqrt(11) + sqrt(22)\/sqrt(2))*3))*-4*-2.\nAnswer: -16 + 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11 and 3831.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(33)\/sqrt(44))*5)**2.\nAnswer: 100*sqrt(3) + 1675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -6*q - 28 + 6*q + 0*q + q as c*q + y and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 + 13*w**2 - 10*w + 12. Let d be t(12). Suppose -5*j - 4*k + 157 = -d, 2*k - 4 = 0. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**3 + 3*s**2 - 5*s + 2. Let q = -11182 - -11177. Let z(n) = n**3 - 2*n**2 + 3*n - 1. What is q*z(c) - 3*w(c)?\nAnswer: -2*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1)\/((q\/q**(2\/7)*q)\/q))**(-8) assuming q is positive.\nAnswer: q**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4\/11, -5, -2\/141?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 + 4*n**2 + 2*n + 18. Determine p(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1452?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 + q - 1. Let a be w(1). Suppose 0 = -2*n + 6, 0 = 5*k - n - a - 1. Let j(o) = 4*o - k + 6*o**2 - 7 + 1 + o**3. Determine j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 427 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -2*g**2 - 49790*g - 184411872 = 0.\nAnswer: -20368, -4527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 PM and 11:13 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of 3*k**6\/40 + 5*k**5\/6 + 1013*k**4\/24 - 22*k**2 + 21*k. What is the second derivative of q(w) wrt w?\nAnswer: 54*w + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-42) + 27*479192\/170667.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10102 (base 4) to base 8.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 1352147 = 2*t, 2*t + 27*f = 30*f + 1352107. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4250*j + 16 = -2*y - 4245*j, 0 = y + 6*j - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 102*d. Let x(r) = 3*r. What is x(f(q))?\nAnswer: 306*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 - (-2 + (-2 - -5)). Is j greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-7))\/(22\/462*-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -74530*g = -74522*g - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 4 - ((4 - -1) + -5 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 186216 equal to 186214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 544 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 5*w. Suppose w = k + k - 22. What is the remainder when 31 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 5:18 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/78184 or -1?\nAnswer: 3\/78184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -5644240 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - v + 74 = 90, -4*x + 2*v = -16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2299) + 1)*-6 + 1 + -2 + -4)**2*-1 + 0.\nAnswer: -82885 - 1452*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(125)*3.\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c. Let l(r) = -513*r. Calculate l(y(d)).\nAnswer: 513*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 724177 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/(27\/(-6) - -3). Solve r*s = -0*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) + (sqrt(30) - ((2*sqrt(150)\/sqrt(5) - sqrt(30)) + sqrt(30))))\/(sqrt(110)\/sqrt(99)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0 equal to 4\/38673389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-32) + (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*y + 45 = -27*y. Let m be (-1 - -2)\/(y\/1539). Which is smaller: 172 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3*(-1)\/2)\/((-24)\/(3024\/45))\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1185 - -2404. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -55 - a8111?\nAnswer: -a8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24 - 34 - 21) + -100 - (12 - 0).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 5*l**2 - 2*l + 2. Let z be f(1). Solve 0*c + c = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2\/13, 1.9781881 in descending order.\nAnswer: 4, 1.9781881, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -4385 + 1465 - 14*o**2 + 2*o**4 + 1472 + 1461 - o**4 - o**3 - 2*o in the form s*o**2 + x + w*o**4 + r*o + v*o**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.93 + 3. Let o = y - 0.07. Let i be (1\/4)\/(3\/(-4)). Which is the closest to i? (a) o (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3118854 + -12.5927?\nAnswer: 3118841.4073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 1 + 4)*(1 - 2 - 1)*(3 - 3 + 3*j**4) as y*j**2 + t*j**4 + g*j**3 + b*j + m and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -22*b**2*c*g + 56*b**2*c - b**2 + b*c + 597*c*g - c with respect to g.\nAnswer: -22*b**2*c + 597*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 2\/5, -8830, 32\/7, -3.\nAnswer: -8830, -3, -0.1, 2\/5, 32\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2198.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 153 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 - 9*h**2 + 4. Let r be j(9). Let q(p) = -54 + 46 + 2*p**3 - 6*p**2 - p + 7*p - 2*p. Is 10 a factor of q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1327 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1070 + -1098. What is the second biggest value in 0, 1, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 815341 (base 9) in base 3?\nAnswer: 220112101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -428 * -0.602\nAnswer: 257.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 + 6*w. Let r(q) = -159*q + 7. Let a(c) = -68*c + 3. Let t(d) = -7*a(d) + 3*r(d). What is s(t(l))?\nAnswer: -l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Suppose -156*t + 155*t + 260 = 0. Let m be 1\/10 + 494\/t. Let p = -10 + 19. Solve m*a + p = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9095756 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 61*y + 1620. Determine v(-27).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-876)\/171 + (-3)\/(-9). Let j = w + 3\/76. Find the common denominator of j and -145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 265283951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -3, -2, -2\/11 in decreasing order.\nAnswer: 1\/2, -2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v = -5*v - 8. Suppose z + 66 = v*z. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.158006 rounded to three decimal places?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -86?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21633.3 + -21633. What is the closest to -0.7 in 1\/7, g, -16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 3801, -13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 340, -449, -1758, -3581, -5912, -8745?\n\"Answer: c**3 - 266*c**2 + 2*c + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13\/7 + -17\/28. Let j = 2.27 - 2.27. Sort -4, j, i.\nAnswer: -4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 < 487\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 8470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*(84\/(-48) - 3\/(-4)). Let o = -0.15 + 0.05. Which is the nearest to o? (a) d (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*y**2*z - 188*y**2 - 31*y*z - y wrt y?\nAnswer: -4*z - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -5830995530 to the nearest one hundred thousand.\nAnswer: -5831000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + 0. Let w = 0.7 - 0.8. What is the nearest to w in 0.3, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-3*((sqrt(363) + sqrt(363) + 6*(sqrt(363) + -1))*5 - (4 + 1 + sqrt(363) + -6*sqrt(363)*-1)))**2.\nAnswer: -228690*sqrt(3) + 3568792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = a. Let s(v) be the first derivative of a*v**2 + 2 + 2\/3*v**3 + 0*v. Let w(c) = -2*c**2. Determine w(s(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -3*z + 2 - 2 - 4*z + 3*z - 2*z + (-3 + 5 + 0)*(-2*z + 3 - 3) - 2*z + 1 - 1 - 1 + 1 - 2*z as s*z + a and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {r: 2, o: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1032 a factor of 22213525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 20447496 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 - 8 + b)*(3*b**2 + 0*b**2 - b**2) + 512 + 60*b**3 - 1024 - 3*b + 514 + b**2 to the form p + f*b**3 + w*b**2 + k*b and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -31 + -26 + (20 - -31)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -21, -27, -9, 45, 147, 309, 543, 861?\n\"Answer: 2*d**3 - 20*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 34825, 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**2)**(1\/17)\/(w**(4\/9)*w**(-8\/7)) assuming w is positive.\nAnswer: w**(874\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/(-6)*((-30)\/(-25))\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 135528497*n**4 + 118622153*n**2 wrt n?\nAnswer: 3252683928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 3621378 by 5.\nAnswer: 3621378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 1219 - 95. Calculate the remainder when d is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -659 - -662. Which is the closest to -1? (a) j (b) -4 (c) -0.5 (d) 1\/74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002408033 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j - 92 = 11*j. Let n = j - -49. Solve -2*v + 1 = -5*t, -v = n*v - t + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from axaaaaxaaxaxxxxxaaxx.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 - 4*s + 5. Let m = -13 - -18. Suppose -m*a + 5 = -5*u, a = -u + 3*a - 4. Suppose -4*k = 16, -4 = 3*j + 2*k + u*k. Determine x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -461.85 + 462. Let s = -43 + 41. Which is greater: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -40 - 77?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - 388482.2249803?\nAnswer: -388482.4249803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1\/2)\/(y\/(y\/(((y**(4\/7)*y)\/y)\/y*y)*y)))\/(y\/(y*y*y\/((((y*(y*y**(2\/7)\/y)\/y*y)\/y)\/y)\/y)*y*y))**(-6\/11))**(-9) assuming y is positive.\nAnswer: y**(4419\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 129*a*p*x + 2*a*r**2*x - 2*p*r**2 - 2*p*r + 10*r**2*x wrt a.\nAnswer: 129*p*x + 2*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-40)\/(-180)*1\/(-2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26713111 divided by -6.\nAnswer: 26713111\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*a + 21 = -27*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2.387 > 6\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9.4 - 7.9. Which is the biggest value? (a) 0.5 (b) r (c) -1\/6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.105 (b) -5 (c) 1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-157)\/645)\/((-48)\/(-520)). Let j = q - -25\/43. Find the common denominator of j and 25\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37633378 rounded to the nearest 10000?\nAnswer: 37630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -3*k**2 + 101511*k - 203010 = 0.\nAnswer: 2, 33835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 - 9*w - 9. Let y be c(-9). Let k(x) = x**3 + 9*x**2 - 5. Calculate k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -440 + 744. Let w be (-16)\/(-88) + d\/22. Suppose -5*y = -3*i + 45, -2*i = -5*y - w - 11. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/8*6\/(-15). Let f(o) be the second derivative of 0*o**3 + o + t*o**5 + 0*o**2 + 0 - 1\/12*o**4. Solve f(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*a**4 + 5*a**4 - 2*a**4)*(a - 2*a - a).\nAnswer: -22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1442 and 0.3?\nAnswer: 432.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be (24*-1)\/(6\/(-4)). Suppose 7*x + t = 11*x. Solve l + x = 5*l, -4*g + 5*l = 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + -7. Suppose -2*r - 12 = 5*d - g*d, d - 6 = r. Let t be (-1)\/(r\/3)*26. Solve 5*k - 4*m = t, 3 = -k - 3*m + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18460 - 11251540. Round f to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 136238329.\nAnswer: 37, 3682117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 1200 = -2*q, 4*g - 2*q - 3568 = 1232. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 8*d. Let x(g) = -17*g + 7. Let s(r) = -17*r - 2. Let f(a) = 3*a + 1. Let k(j) = -4*f(j) - s(j). Let v(p) = -14*k(p) - 4*x(p). Calculate l(v(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -7189.8 rounded to the nearest one hundred?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*m**2 + 4*m**4 + 16*m**4 - 35*m**2 wrt m?\nAnswer: 480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 264280.5 months to years.\nAnswer: 22023.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(2\/3) + 0 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p - 7*p**3 + 2*p)*(-2*p - 3*p + 4*p + (-4*p + 2*p + 0*p)*(-4 - 1 + 3)).\nAnswer: -21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25870 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26256 = -0*r + 4*r. Let f be r\/(-18) + (-2)\/3. Suppose 5*o = o + f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -28 + 50. Let i(v) = v. Let q be i(4). Factor 0 - c*r**2 - 11*r**2 + 40*r**3 - 16*r**q + 0 - 1 + 10*r.\nAnswer: -(r - 1)**2*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 + 6*b**2 - 7*b + 8. Let d be n(-7). Put -1, d, 0 in descending order.\nAnswer: d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y - 14. Let s be q(9). Let m = s - -11. Suppose -f + 48 = 5*z, f - m*f - 20 = -z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 147766 - 92453. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -2584.23.\nAnswer: -258.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23191 is divided by 5786.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2.065 + -2.12. Let b = i - -0.085. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 29*y + 37*y - 63*y. Let s(r) = 2 - 2 + r. What is s(b(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -642 - 8526. Suppose 5*o - 1643 = t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 4 = 0, i - 5*w = -0*w + 41. Let q = -23 + i. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 71.84 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -3*z + 17. Let q(g) = -g**3 - 20*g**2 + g + 12. Let k be q(-20). Calculate the remainder when 76 is divided by f(k).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2766038497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = q + 5*f - 19 - 4, -4*q - 18 = -2*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 591365311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 111233130000 (base 4) to base 16.\nAnswer: 56f700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - 1. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*((y*y*(y*y\/(y*y**(4\/11)*y*y)*y*y)\/y)\/y)\/y*y**(1\/6))\/(y**(5\/6)*y**(-2\/17)) assuming y is positive.\nAnswer: y**(49\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19886 is divided by 6125?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, f: 5, g: 9, j: 1}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve p = -2*t, p + t - 1 = -5 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2041.836ns?\nAnswer: 0.0000000340306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 9\/3814, -2\/5 in descending order.\nAnswer: 9\/3814, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 24334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 - d - 1. Let o be f(0). Let i = o + 5. Let z be i\/(-10) - (-24)\/(-15). Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 77771.67 months?\nAnswer: 6.4809725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 2*h**4 - 1266*h**3 + 162 - 1281*h**3 + 2556*h**3 - 3*h**4 in the form j*h**2 + q*h + w*h**3 + y + g*h**4 and give y.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 4 = 32. Let u(r) = r**3 - 9*r**2 + 2. Let f be u(z). Suppose 27 = f*n - 11. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/7))**(-20) assuming n is positive.\nAnswer: n**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -14*p + 8. Let b be m(7). Let t = 21 + b. Let c = t + 79. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*b**3 + 25*b**2 + 40*b + 20 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (55\/100 - 2\/(-8)) + 24278\/6965?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1\/878 - -2411\/3073. Which is the nearest to 0? (a) -3\/5 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -418030, -1672126, -3762284, -6688504, -10450786, -15049130, -20483536?\nAnswer: -26754004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 76974, 153955, 230952, 307965, 384994, 462039, 539100?\nAnswer: 616177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 10 + 11 + -15 + 121 + (-3 - -8)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -14 or -39840\/3049?\nAnswer: -39840\/3049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:23 AM and 12:33 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1196.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 8158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - j - 993 = 0, 2*b - 2*j = 2*j + 390. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -746*y + 748*y + n - 9 = 0, -2*n - 18 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -20\/21 or 39220\/7?\nAnswer: 39220\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.01596 from -0.2.\nAnswer: -0.21596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 4370034617 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6176677ml to litres.\nAnswer: 0.0006176677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 2:45 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22.135 + 21.1. Round y to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 27.664805 * -3.\nAnswer: -82.994415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -18 (base 9) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.018 - -211.018. Let l = 216 - o. What is the third biggest value in 0, l, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.14, -12.4, 4526?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 6*w. Suppose -3*s + 32 = h, -1 = s - 2*h - w. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -325.516 and 0.04?\nAnswer: -13.02064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 825*j - 465. Is g(11) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k*w**2 - 16332*k*w - 15886*w**2 wrt w?\nAnswer: -2*k - 31772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -70195668*u**3 - 65549019*u**2 wrt u?\nAnswer: -421174008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 51 = 3*v, 2*t + v = 3*v + 22. Suppose -2*s = s - t. Is s at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 15 = 2121*g - 2125*g, p = -3*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 2 = -4*u + 5*u, 0 = o + 3*u + 4. Solve 4*i - 3 - 10 = 3*j, -o*i + 24 = 4*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 342*t - 188*t = -5007 - 5773 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -4.98. Let h be ((-6)\/(-64))\/((-22)\/(-88)). What is the closest to 0 in 2\/5, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, r: 2, n: 11}. What is prob of sequence ncc?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6540 is divided by 1224?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*d*h**2 - 6*d*i**2 + 3*d*i - d - 4*h**2*i - 61*h**2 + i wrt i.\nAnswer: -12*d*i + 3*d - 4*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (9\/6 + -2)\/2. Let l = -1469 - -1465. Sort 3, l, 0.4, a in descending order.\nAnswer: 3, 0.4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4822426 and 802.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = 2*u + k, 5*k = 3*k - 6. Suppose 4*p = -8, -9 = 4*m + 2*p - 61. Calculate the remainder when u is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 5*n**3 - 8*n**2. Let b(a) = 6*a**3 + a**3 + 7*a**3 - 25*a**2. Let g(w) = -3*b(w) + 8*r(w). What is the third derivative of g(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11385294337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 216 and 2304?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -6*z**2 + 11*z + 23. Let w be 83\/17 + 4\/34. Let t be a(w). Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/6 (b) 14 (c) 30 (d) -0.2 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*p + 3*v, 0*v - 4*v - 4 = 3*p. Put -3, p, 1, 5 in descending order.\nAnswer: 5, 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -4*k + 14, -3*t + 5 = -2*k + k. Let a = -7 + 6.6. Let q = -11 + 56\/5. What is the nearest to a in k, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**2 - 7*z + 10. Let b be j(2). Let q be b\/2 - (-1 + -188 + 4). Suppose r = p + q, p + 2*p - 357 = -2*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - x**2 - 2*x - 1. Let h be w(2). Let m be 16\/3 + h\/3. Suppose i - 211 = -m*k, 3*i + 8*k = 4*k + 633. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 - 4*v + 3. Let z be w(-5). Let s(l) = l**2 - l + 1. Let j(d) = 10*d**2 - 7*d + 7. Let f(o) = z*j(o) + 14*s(o). Let q(x) = 4*x**2. Give q(f(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 2104 + 240.439.\nAnswer: 2344.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000043811143 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**2 + 158*v + 39848. Calculate u(-134).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of 223*d**3 - 4*d - 15. Let i(y) = -y. Determine i(h(z)).\nAnswer: -1338*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of z**5\/20 + 35*z**2\/2 - 7*z. Is a(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17107*b = 16841*b - 16758 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (2 + -8 + 12) - (13 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 + -13\/2. Let v = l - 5. What is the smallest value in -1\/4, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 5*s + 9645 + 2615, 10 = -2*s. What are the prime factors of d?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12115 is divided by 1101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**3 - x**2 + 2*x + 2. Let d be b(-1). Let p(r) = r**3 + 3*r**2 - r + 2. What is the remainder when p(d) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-45)*(-44)\/55*50\/(-16)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of 3*n**2 + n**6 + 4*n**2 - 3*n**2 + 21. Find the second derivative of y(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of -6*v**5 - v**4\/4 + 20*v**3 + 3*v**2\/2 + 47*v - 2. Factor l(i).\nAnswer: -3*(i - 1)*(i + 1)*(40*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = p - 4*v - 20, 3 = -v. Suppose -4*s - 5*z = -11, -3*s + 0 + 8 = 4*z. Solve -s = a - p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = 116\/32137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*s = 50*s + 252 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1152 and 0.9?\nAnswer: 1036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -7*c - 23. Let b be l(-9). Suppose 35*t + 397000000 = b*t. What is t rounded to the nearest one million?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h**2 - 2*h**2 - h**2 + (h**2 - 2 + 2)*(2 - 3 - 1) + 0*h**2 - 2*h**2 + h**2 - 44 - 19 - 29*h**2 + 51.\nAnswer: -33*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -139*f**2 + 1021*f.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*s - 14*s - 436 = -3*r, -r = 0. Let b = s - 108. Let n(w) = 8*w + 1 - 12*w + 6*w. Calculate n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 770 and 4370135.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1298181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 11*p**2. Let l(w) = -4*w. What is f(l(k))?\nAnswer: 176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -1323*w - 767 - 1766 - 8051 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1662947438.\nAnswer: 2, 831473719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 691864?\nAnswer: 2, 197, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34374740 is divided by 714.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-87 - 96 + 244)*(11 - 11 + s) to the form w + v*s and give v.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7 + (-102)\/(-12))\/(6\/512). Suppose 0 = b + 2*z - y, -5*b - 259 = 2*z - 915. Calculate the highest common factor of 44 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**2 + 4*f. Let n be p(4). Solve 3*t = 4*h - 4, 3*t - 7*t - 16 = n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1641 - 510. What are the prime factors of q?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3764.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 12040 divided by -56\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q**3 - 8*q**2 - 2. Let p(g) = 14*g**3 - 40*g**2 - 11. Let v(r) = -11*d(r) + 2*p(r). Find the third derivative of v(j) wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5196*i + 10396*i - 5201*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = v + 5*p - 10, -5*v + 5*p + 5 = 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 2)*(b + 4*b - 3*b) - 5594 + 5594 + 113*b.\nAnswer: 115*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 230*v + 1722 + 214 - 54*v + 4*v**2.\nAnswer: 4*(v + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 3, t: 3, y: 3, h: 4}. What is prob of picking 1 h, 2 m, and 1 t?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*w**3 - 3*w**3 + 11*w**3 - 5*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -140 (base 8) to base 10.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1))**(1\/2)*((m*m**(2\/9)*m*m)\/m)**(3\/11))**(3\/5) assuming m is positive.\nAnswer: m**(7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 211021211 (base 3) to base 7\nAnswer: 65242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 34 from -298.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0\/(i*i**10))**(1\/22) assuming i is positive.\nAnswer: 1\/sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 106729 - 3*f**2 + 179*f - 2*f**4 - 53367 - 53364 in the form s*f**2 + a*f**3 + z*f + l*f**4 + d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + -16 + (22 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s**2 - 570*s - 27075 = 0. What is s?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -48 - -52. Find the first derivative of 58*y**4 - 95 + 115 + 12*y**u wrt y.\nAnswer: 280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -30 + (35 - -1) - 36\/2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -320617\/18 - -17837. Let y = 1496\/45 - i. Find the common denominator of y and -20\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 5*w**3 + 8*w**2 - 12*w - 4. Let s(x) = x**3 - x**2 - 5*x + 1. Let b(j) = 3*s(j) - y(j). Determine b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000037762 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -13*w**2. Let k(a) = -11*a + 2. Calculate k(r(c)).\nAnswer: 143*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2582715, -5165427, -7748139, -10330851, -12913563, -15496275?\n\"Answer: -2582712*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 + (-4 - (1 - 4)). Suppose v = -f*v + 150. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**2 - 362*u - 10503.\nAnswer: (u - 389)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 168*b + 192*b + 170*b - 1041*b + 176*b + 168*b + 169*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of o**4\/4 - 2*o**3 + 3*o**2\/2 - 7*o + 10. Let b(r) = 6*r**3 - r**2 - r + 2. Let v be b(1). What is q(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 352.158849 minutes?\nAnswer: 0.03493639375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 50 or 12848\/259?\nAnswer: 12848\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5 - -94 - -3)*24\/(-2). List the prime factors of f\/64*80\/(-6).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10*h**3 + 13041*h + 5060765 with respect to h.\nAnswer: -30*h**2 + 13041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13.597 - -0.597. What is the fourth smallest value in 0, -1\/8, y, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -470*k + 4. Is c(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - (1 - 5 - -5 - -12)) + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 178 and 0.3?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*k - k + 5*k)*(0 - 5 - 5) + (5 - 2 - 2)*(-6*k + k - 8*k) to the form j*k + a and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 - 8*t - 6. Let a be h(-7). Let f be (-2 - 4\/12)*6\/(-2). Calculate the highest common divisor of a and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -22023011233 (base 4) to base 10\nAnswer: -2666863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 855386.5 decades to months.\nAnswer: 102646380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/3484 and 63\/656?\nAnswer: 571376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 31, -0.2, 840, 3, -2\/15, -2 in descending order.\nAnswer: 840, 31, 3, -2\/15, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 159*w**2 + 34*w + 87. Does 12 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -4, -622, -5 in descending order.\nAnswer: 22, -4, -5, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**3 - 36*o**2 - 304*o + 336.\nAnswer: 4*(o - 14)*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-64)\/27360)\/((-8)\/48)*-6*(-12)\/(-192).\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144 = 2*w + 2*q, -78 = -w - 4*q + 5*q. Is 45 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/360*-6*(-6)\/27*-14.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4e7d + 1?\nAnswer: 4e7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18.0729 + 1.0729. Sort k, -417, 4 in ascending order.\nAnswer: -417, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*f - 1131 = -5*w - 32*f, -4*w + 909 = 3*f. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 21. Let m be ((-2 - -2) + z)\/1. Let o be (-30)\/m*(-8)\/(-3). Solve 2*b - 2 = o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.02? (a) 1\/4 (b) 0.3 (c) -5 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2265\/1359*(-6)\/(-230).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9322021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4824752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -4213400 rounded to the nearest ten thousand?\nAnswer: -4210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -95*g + 1. Let d(h) = 2770*h. What is d(y(q))?\nAnswer: -263150*q + 2770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 723*r**2 - 11*r + 9. Let l(b) = -362*b**2 + 6*b - 5. Let i(z) = -9*l(z) - 4*w(z). Let a be i(7). Suppose 4*h - 17939 = a. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-386)\/4)\/(2\/(-12)). Let l(x) = 58*x + 29. Let f be l(-7). Let a = w + f. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 350\/91 + -4 + (-440)\/(-832)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-295 + 295)\/((-4)\/1). Which is the closest to 1? (a) r (b) 1\/4 (c) -5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -6. Let t = -0.07165 + -0.02835. Let i = 10\/29 - 88\/87. Which is the biggest value? (a) i (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4266850957 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -7*l + 19. Let t(m) = -3*m + 0 + 4 + 0 + 6. Let y(s) = -6*i(s) + 13*t(s). What is the remainder when y(11) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1711 - -1712. Is n <= 2454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from oefnoeeooooeeeoeee.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 11:19 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 13 + 47 = 0. Let f be o + 2 + -3 + -1. Solve -s + 5*c = 4, -c - f = 5*s + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6715134 is divided by 2534?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 8438370 by 2.\nAnswer: 4219185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 130721976 by 78183.\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 507372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2\/3*15714\/(-2037) - 6\/(-1)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249244 is divided by 1719.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37 + -22. Let g be (-4)\/(-14) - (-17)\/((-238)\/(-9208)). Suppose -4*m + g = q - 4, -m + 2*q + 161 = 0. Calculate the greatest common factor of f and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 65 (base 11) to base 15.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 14 = -u - 0*u, 4*u + s = -37. Let b = -592 - -365. Is (-2)\/9 + b\/u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 4*n = -7, -54*r + 53*r - 3*n - 15 = 0. Is (r - (-2 + 1))*(-4869)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 + 2*f. Let z be h(2). Let i = -3.96 - 0.24. Let g = -4.8 + i. Which is the second biggest value? (a) z (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 14, 10, -1, 306 in increasing order.\nAnswer: -7, -1, 10, 14, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -93 + 181. Let x = u - 87. What is the remainder when 168 is divided by (-2)\/(-1 + x*(-15)\/(-17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -31129*r**5*x**2 - 2953*r**2*x**2 + 878*r*x**2 - 251278*x**2 wrt r.\nAnswer: -622580*r**3*x**2 - 5906*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -179 + 889\/5. Let j = x + 19\/20. Do j and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 2*g + 2. Let n be i(-1). Let l(f) = -1 - 2*f**3 - 3 + f**3. Calculate l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = 4*g - 16, 57 = -3*g - 16*r + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes after 11:35 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -2 - (-4 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 - 2*u - 7. Let f be y(6). Let l = f + -13. Suppose -2*n = -0*n + 5*a - 11, l*n - 13 = -a. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13)\/(-1))\/((7854\/(-231))\/(-238)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -14. Let a = -3 - f. What is the closest to a in 0.04, 1\/4, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79944 greater than or equal to 79943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, u: 4, d: 4, m: 1}. Give prob of sequence ud.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000001405 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2094820 times 0.5\nAnswer: 1047410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(1008) - (3*2*sqrt(1008) + sqrt(1008))))\/(4*-2*-3*sqrt(484)).\nAnswer: -15*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -13*n**3 + 3*n**2 - n. Let t(w) = w - 16. Let g be t(13). Is a(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w**3 - 2*w**3 + 0*w**3)*(-150*w + 130*w - 375*w).\nAnswer: -395*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 2*j**3 - 14*j**2 - 41*j + 25. Suppose -10*h = -28*h + 234. Is x(h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 151\/7645 + -323297\/963270. What is the common denominator of q and -173\/540?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -4*x + 7. Let p(s) = -1. Determine -g(i) - 6*p(i).\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04 plus 0.188994?\nAnswer: 0.228994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 2 = -2*v - 0, 3*u - 3*v - 6 = 0. Suppose -u*r + 33 + 7 = 0. What is the greatest common divisor of 140 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5052 divided by -12?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1\/2 (c) -2\/13 (d) -1867 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 k, and 2 f when four letters picked without replacement from {f: 4, w: 1, a: 1, b: 2, k: 8}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -6*n**2 - 25*n - 1. Let r be v(-8). Let o = -99 - r. Suppose -5*c + o = 3*t + 7, -3*c + 36 = -2*t. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 - 11. Let q = l + 9. Suppose 21 = 3*m - q*w, -m - 4*w - 11 = -2. Solve -5*r + 16 = -3*j, -m*r = -3*j - 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 11*g**2. Suppose 4*c + 2*y = 175 + 33, 46 = c + 2*y. Let i(f) = c*f**2 - 114*f**2 + 57*f**2. What is m(i(z))?\nAnswer: 99*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -1\/3, -0.2 in increasing order.\nAnswer: -1\/3, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (405\/6)\/(1\/2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 3511*r + 1 + 3629*r)*(1 - 3 - 4) in the form z + l*r and give l.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -121069143 divided by 3104337\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 20 = 0, -3*d = 3*h + 7 - 34. Suppose q = d*q - 6. What is the remainder when q\/(-7) - (-499)\/7 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1474230 by -49.\nAnswer: 1474230\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 27 and 16731.\nAnswer: 50193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*s - 2*d + 2, -104*s + 4*d = -101*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/190 and -1\/57?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*sqrt(637)*-1 - (((-1 + sqrt(637))**2*2 - sqrt(637)) + sqrt(637) - (((sqrt(637) + 0)*-4)**2 - sqrt(637))))*-1.\nAnswer: -8916 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -7449967*a + 5760502?\nAnswer: -7449967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in -5, -1.96, -8.227?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 69480538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.298424844 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**2 + 22*l + 4. Let s be p(-22). Solve -a = -7 + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 14044.43ml?\nAnswer: 14.04443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 185 or 559\/3?\nAnswer: 559\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4885490*w**2 + 3877499 wrt w.\nAnswer: 9770980*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1100 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2529942 divided by 1264971.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2.4 (b) 4 (c) -1 (d) 0.138 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 3391 = 3*a, 3*a - 841 = -8*y + 9*y. Let b = -846 - y. Solve 18*r = b*r + 56 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -23*(4164\/(-276) - -15). What is the nearest to w in -3, 1, -183, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2554 + -12772\/5. Which is smaller: h or 1.69?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + -3 + (-10 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-121)\/(-42) + 1300\/390 and ((-2)\/68)\/(2\/94)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6 + (-4)\/((-4)\/277). Let c = k - 249. What is the greatest common factor of 374 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 11) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72337537 is divided by 252047?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -5*q - 1. Let j be o(-2). Suppose 4*p = p + j. Let g = -17 - -17.4. Which is the nearest to 2? (a) p (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 112753*g = 112751*g + z - 32, 0 = 3*g - 2*g - 4*z + 121 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -6.7 times -168322?\nAnswer: 1127757.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -16\/17? (a) 1\/3 (b) -1\/4 (c) -2 (d) -0.4 (e) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -2. Let b(v) = -11*v**3 + v**2 + v + 1. Let n be b(-3). Let d = n - 4861\/16. Is d less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 437476 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 6 (c) 0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*m**2 - 8*m**2 - 14*m**2 + 5*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**3 + 10*z**2 + 8*z - 14. What are the prime factors of d(-7)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 354944, 1419762, 3194460, 5679038?\n\"Answer: 354940*l**2 - 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -2\/17, -0.06, -0.3, -0.32 in descending order.\nAnswer: 0.2, -0.06, -2\/17, -0.3, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 179143610 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 5)*((3 + 0 - 5)*(5 + 0 - 3) + 4 + 1 - 3)*(-142*g - 155*g + 27*g).\nAnswer: -1620*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -11184 (base 9) to base 8\nAnswer: -16427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the first derivative of -19*r**10\/2520 - r**6\/36 - 9*r**3 + 16. Let s(t) be the third derivative of o(t). Find the third derivative of s(g) wrt g.\nAnswer: -4560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**2 + 9*f + 16. Let o be n(-8). Solve 0 = 4*c + 3*p + o, -3*p - 17 = -c + p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5705 divided by -7?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -282268842, -282268844, -282268846, -282268848, -282268850, -282268852?\n\"Answer: -2*o - 282268840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -28 + 27.6. Let s be 1\/6 + (-1)\/2. What is the biggest value in -3\/5, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11149\/16530 or 2?\nAnswer: 11149\/16530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -6182 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f + 3*b + 55380009, -55*b + 92299997 = -5*f - 54*b. Round f to the nearest one hundred thousand.\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3474991500 to the nearest one million.\nAnswer: -3475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -6.2 * -1564\nAnswer: 9696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1010 + 23512521?\nAnswer: 23511511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.096 + 8.104. Let w = 1.2 - q. Let d = w - -7.0000006. What is d rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 0 - 4 + 3*x + 0 - 5*x. Let f be n(-3). Solve v + 5 = f*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4734\/7 - -676. Which is the biggest value? (a) -3\/4 (b) g (c) 0.84 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 + 55*d + 289. Let m(l) = -l + 81. Let g(x) = 10*m(x) - 2*u(x). Let g(c) = 0. Calculate c.\nAnswer: 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6491 + 9005. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 5*w - 16. What is v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -310.00231 + -2464.1937.\nAnswer: -2774.19601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-175)\/50)\/(21\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 11974439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2479826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 146 + -142. Let d(s) be the first derivative of 2 + 0*s**3 - 3\/2*s**2 + 1\/4*s**z + 0*s. What is the second derivative of d(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t**3 - 3*t**2 + 3*t**2)*(49 + 49 - 98 + 446*t).\nAnswer: 892*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -90*f + 111. Let z be p(1). Solve -z*s - 180 = 9*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 79*c + 7. Let m(j) = -254*j - 21. Let b(v) = -4*m(v) - 13*q(v). Let k be -2*(14\/4 + -2). Is b(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 51*z**2 + 12*z - 10. Let x be k(5). Let d = 1950 - x. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2579*a**2*k**3*y + 2*a**2*k*y - 2*a**2*k - 107*a**2*y - 2*k*y - 1 wrt k.\nAnswer: 15474*a**2*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 48124\/(-1908) + ((-6)\/8)\/((-162)\/48). Put 5, k, 41, 4 in descending order.\nAnswer: 41, 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 8*u + 135. Let r be n(0). What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12\/161 - 9475\/322. Let z = c + 29. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 - 56. Let n = -45 - m. Which is the third smallest value? (a) 1\/6 (b) -5\/6 (c) n (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 204 divide 12209196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.4 + 2.6. Let x = m + -2.6. Let z be 0 + 1 + (-27)\/33. Which is the third smallest value? (a) z (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t**2 - 8*t - 9*t - 2*t**2.\nAnswer: -t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2.3705 times -11?\nAnswer: -26.0755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 + 8*t - 8. Let v be 42\/(-15) - (-1)\/(-5). Let o = v + 10. Calculate the remainder when o is divided by f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/(-5 + 9\/3). Is (4 - y\/(-3)) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 214*u**2 - 94*u + 190. Let j be m(2). Solve 3 = j*n - 861*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1706, 6841, 15398, 27377, 42778?\n\"Answer: 1711*n**2 + 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -22326 + 48526. Round i to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 15*y**3 + 15. Let b(q) = -15*q**3 - 16. Let x(n) = -2*b(n) - 3*h(n). Differentiate x(p) with respect to p.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -708 - -39. Let q = 12049\/18 + i. Calculate the common denominator of q and 47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minus -1.25?\nAnswer: 42.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 309 = -7*d. List the prime factors of d.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from {t: 4, q: 3, e: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 21 or -704.3?\nAnswer: -704.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 2*s**3 - s**2 + s. Give h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 4*y + y - 45, c - 3*y = -7. Suppose m - q - 1 = -m, c*m + 1 = -q. Solve m = -3*o - 4*o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 859 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - (-17 + 14)) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1253 - -2b145?\nAnswer: 2c398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -212822*b**4*i**3 - 2*b**4*i + 18033*b**2 - 7*b*i**3 wrt b.\nAnswer: -5107728*b*i**3 - 48*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -6*d - 2. Let v(s) = -6*s - 2. Determine 2*c(k) - 3*v(k).\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4857257 is divided by 1304.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3, -15, -27, -33, -27, -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2259 and 40384896?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**3 - 2*f**2 - 15*f - 1. Calculate y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**3 + 14*y**2 + 19*y**2 - 33*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 90.1 and 3.\nAnswer: 93.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.7 - 3.7. Let j(s) = -4*s + 31. Let z be j(8). Let r be (-13 + 11)*z\/(-4). Is n less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g = 2*g - 2*f + 12, 0 = -3*g + 4*f - 2. Let 5*s + 5*s - s**2 - 20 + 4*s - g*s = 0. What is s?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 17*h. Let i(v) = 2*v**2 + 2*v. Determine i(t(d)).\nAnswer: 578*d**2 + 34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23598 and 181424?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 41133.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssssssmssmmssss. Give prob of sequence ssm.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 879 = 5*j - 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 68 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -2*y + 25. Suppose x = v - 0 - 7, -x = y*v - 41. Let h be 3\/15 - (-18)\/10. What is the highest common divisor of h and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f**5\/3 + 62*f**4 + 7160*f**3\/3 - 136550*f**2\/3 + 244125*f - 1262500\/3 = 0 for f.\nAnswer: -101, -100, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 557994131 to the nearest integer?\nAnswer: 23622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1688034199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 176 - 181. Sort 5, -6, 3, p in descending order.\nAnswer: 5, 3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (59 + -144)*(2\/(-5) - (-7)\/5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 - 60*t**2.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0478 and 35.\nAnswer: -1.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -532665 divided by -5.\nAnswer: 106533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x - x - 143*x**3.\nAnswer: -143*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 13) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*w + 12*w + 4*g - 26 = 0, -5*g = -5*w - 30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1069277 is divided by 12729.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -87\/416 and (414\/(-460))\/(3744\/(-114)).\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -7 - 15. Suppose a - 3*d - k = 0, 5*a + d - 2*d = 27. Solve 0 = -a*t - 16 - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -93, 4.\nAnswer: -93, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3173*d - 4972*d - 49170*d.\nAnswer: -50969*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 AM and 8:51 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7938 + -4810. Let t = i - -6872. Let q be (-2 - t - -2)*-470. Round q to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26016 (base 8) to base 4.\nAnswer: 2300032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2351 (base 6) to base 15.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 66\/(-14) - 160\/1824*-19*3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-114)\/95)\/((-9)\/30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*j = 65*j - 1683. Let y be 78300*11\/(j\/(-10)). Round y to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 - (-2)\/1 - (-20 - 240\/20)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -306 - -311. Let o = 0.0419 + -2.6119. Let d = o - 0.43. Which is the closest to -0.1? (a) 3 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208)*-3)\/((sqrt(48)*-2)\/sqrt(12)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - 50661772?\nAnswer: -50661770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 3:31 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from fljfbffffbfljfllblf.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**3 + 9*i**2 - 35*i - 210. What is w(-15)?\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 109137767*o**3*t**2 - 1128*o*t**2 + 2*t**2 - 59*t - 3 wrt o.\nAnswer: 654826602*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eppptpepte. What is prob of sequence ept?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1951 + 1343. Let t = 491.015 + m. Let q = -117 - t. Round q to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -180120 (base 11) in base 5?\nAnswer: -32401242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -243*i - 246. Give v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence asrg when four letters picked without replacement from {r: 7, s: 1, a: 1, g: 3}?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - 8*k**2 + k - 4. Let h be p(8). Let d be -2 - (-6)\/1*1. Suppose -18 = d*n + 2. Sort 0, n, h.\nAnswer: n, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15 + -27. Let y = 55 + b. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of 1\/2*m**4 + 0 + 0*m**5 + 0*m**2 - 11*m + 0*m**3 - 16\/15*m**6. What is the third derivative of f(h) wrt h?\nAnswer: -768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*w**2 + 4*w**2 - 5*w**2)*(-68*w**3 + 72*w**3 - 41*w**3) - w**5 + w**5 + 3*w**5.\nAnswer: -293*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -32 + 47. What is the closest to g in -2\/13, -2\/7, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vfcq when four letters picked without replacement from {f: 3, q: 1, y: 6, v: 3, c: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25)\/(-10)*8\/90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -3*u**3\/5 + 41196531*u**2\/5 + 82393071*u\/5 + 41196537\/5 = 0.\nAnswer: -1, 13732179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d = -9*d + 7488. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 90 and 1224?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.8? (a) 3\/2 (b) -4\/7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.2 in 0.06, -12, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -38 - -58. Let k = q + -7. Let r(o) = -o**3 - o + 4. Let h be r(0). Solve -1 = -h*d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -29933 or -2664030\/89?\nAnswer: -29933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18017 and 1978.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + -2 + 41 + -6 + 6 + 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 27372 divided by -107\nAnswer: -27372\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 625 - 456 - 5*k**2 + 49 as q*k + l*k**2 + s and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6796, 27124, 60944, 108208, 168868, 242876?\nAnswer: 330184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 d, 1 l, and 1 g when four letters picked without replacement from {k: 1, g: 2, l: 1, d: 2, e: 2, v: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11268664*v**3 + 15155020*v wrt v?\nAnswer: -67611984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3350124 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3081*v**3*x**5 + 19*v**3*x**2 + 205*v**3*x - x**5 wrt x?\nAnswer: 184860*v**3*x**2 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 100 * 260.2\nAnswer: 26020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1224414221 (base 5) to base 2\nAnswer: 1011010100010100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 10 - 2. Suppose 20 = z*b + 2*b. Let k(q) = -7*q - 68. What is the remainder when b is divided by k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1344756.\nAnswer: 2, 3, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*w + 1342 + 88 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 13 - 1. Find j such that -3*j**5 - p*j**4 + j**5 + 2*j**2 + 2*j**4 + 2*j**3 + 2*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 20*t - 218. Let m be h(11). Solve -17 = -b + m*u + 2*u, -4*b - 2*u = -14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2696 - 10781\/4. Which is the fourth smallest value? (a) 0.032 (b) 0.3 (c) q (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 283*r - 1027. List the prime factors of a(6).\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -48 - -302?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 5*q = -191, 35 - 334 = 3*h + 5*q. Let a be (h\/(-48))\/(3\/112). Find the second derivative of a - 6*f - 84 + 30*f**4 wrt f.\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 259 - -12132616.\nAnswer: 12132875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 2*k**2 + 0 + (-k - 3 + 3)*(7 - 1 - 3)*(-35*k - 7 + 15*k + 2) to the form u + s*k + o*k**2 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (26\/(1274\/(-63)))\/(84\/(-3724)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 + 320?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kklkkkkklkkk?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 102\/25 + -4948\/1225. Let v = 43\/147 + g. Suppose -2*o = -3 - 5. Which is the smallest value? (a) v (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 12) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2996 - 2997. What is the biggest value in z, 29, 0.2, 8?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.07 (c) 8 (d) -3\/8 (e) 5.5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/t**26*t**13*t*(t\/t**26)\/(t*t**13\/t) assuming t is positive.\nAnswer: t**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -316310*c + 24. Give z(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3 or -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*c**3 + 14*c**3 - 4*c - 12*c**3 - 3*c**3 - 15*c**2 to the form k*c**2 + m + q*c + i*c**3 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 280 divided by 31679\nAnswer: 280\/31679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 11*u**4 - 5*u**3 - 7*u**2 - 9*u - 9. Suppose -3 = -5*f + 17. Let n(t) = -5*t**4 + 2*t**3 + 3*t**2 + 4*t + 4. Let y(k) = f*l(k) + 9*n(k). Factor y(s).\nAnswer: -s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + 1. Suppose -o*q = -q - 2. Suppose -t = q, -t + 2*t = 2*z + 1. Are z and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iusuxuusiuxuuuuisuu. What is prob of sequence iui?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6842220 and 1026333.\nAnswer: 20526660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -641 + 639. Let k = 4.6 - 5. Which is the third biggest value? (a) q (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 1.5 (b) 1 (c) -0.2 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7534 + 7532. Let g = 1\/5 - -2\/15. Which is the fourth biggest value? (a) g (b) 0.3 (c) -2\/11 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -0.53 (c) 4 (d) -4565.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/7 + (-3732)\/28. Let c be (-1286)\/(-6) - (154\/21 + -8). Let d = c + z. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**4)**(5\/6)\/(w**(2\/5))**(-38) assuming w is positive.\nAnswer: w**(278\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15 - -15. Suppose -5*u - 163 = -2*l, l + t = -2*u + 77. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 50\/75 - 478\/6. Let d = t + 89. Let g = 12 - -26. Calculate the remainder when g is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1150*d**2*u**2*w + d**2*u*w**2 - 46*d**2*u*w + 358083*d*u**2*w**3 + 2569123*u*w**3 - 2*u*w wrt u.\nAnswer: 2300*d**2*w + 716166*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1111001010001 - -1101?\nAnswer: -1111001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.06 + -0.54. Let l = -0.600007 - t. Round l to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - 6*a + 9. Let c be z(-7). Suppose -3*s + 4*d + 38 = 0, -5*s = -c*d - 63 - 19. Suppose -2*t = -k - s, 3*t - 36 = k - 4*k. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (114*a - 63*a + 212*a)*(-5 + 2 + 0) + 9*a + 3 - 3 + a - 1 + 1 + (3 - 2 + 0)*(2*a - a - 3*a) in the form z + c*a and give c.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gcc when three letters picked without replacement from gggccgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/7)*k**0)\/((k*k**(-22)\/k)\/k*k**(-2\/3)*k*k*k) assuming k is positive.\nAnswer: k**(431\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-9)\/(-3) + -3)*1. Suppose b*d + d = 2*a - 21, -3*d = 4*a - 27. Solve w + 2*l = l + a, -3*w + 32 = 4*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of 2*i**3\/33 + 8*i**2 + 352*i + 144. Find a such that k(a) = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j = -0*j + j. Solve j = 7*w - 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2377610773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 3 (b) -21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25737 + 9606 + 16131 - 22*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/14 + (-36)\/21. Let r be 18\/4 - 1\/c. Let d = -1 + r. Calculate the remainder when 10 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1765*u + 5299*u - 1771*u - 1774*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 580765506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 580 is divided by ((-11736)\/(-60))\/((-4)\/(-10) + 3\/15).\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1923 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(p) = 2*p**2. Suppose 6*u - 830 + 812 = 0. Let a(w) be the second derivative of 0 - u*w - 1\/2*w**3 + 0*w**2. What is d(a(i))?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 78089426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 4*a + 6. Let q(y) = 2*y**3 + 2*y**2 - 10*y + 13. Determine 3*q(i) - 7*v(i).\nAnswer: -i**3 + 6*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 0*t + 18 = 4*i, 0 = 4*t - 3*i + 23. Let q be t\/((-4)\/206) - -2. Calculate the highest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.43 + 0.03. Let w = 16098 + -16099. Which is the closest to w? (a) -2 (b) -28 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 316*r**2 - 10*r - 7. Let u be c(-3). Let t = 5417 - u. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 - 10*v**2 + 8*v + 8. What is r(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45 and 1448835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 3*d = -q - 23, -4*d + 26 = -2*q. Let t be 0\/(d*(-3)\/(-15)). Solve 2*s - 8 = -t*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/5 in 4, -63, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -11110 (base 3) to base 14\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zitb when four letters picked without replacement from ptttttlpzbip.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-4 + sqrt(45))**2 + 5 + 2.\nAnswer: -24*sqrt(5) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 171 in -6, 0.3, -1, -27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (8\/28 + 0)*2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 5 = -4. Let f = -1.7 + 2. Which is the second smallest value? (a) f (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -2 + 2 + 4 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -7*u**2. Let f(p) = 131670843*p. What is f(n(o))?\nAnswer: -921695901*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1396, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*k + 48*k + 123. Sort -9, -5, k, 5 in decreasing order.\nAnswer: 5, k, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*o - 0*o - 72. Let q be 2 + 4*o\/6. What is the units digit of q\/(8\/6) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 3 + 9 + (-1 + 0 - 1)*(-6 + 2 + 3) + 3 - 1 - 1)*(2*x + x - 2*x) as z + h*x and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -7 times -379\nAnswer: 2653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(133)*-5*-6*-5)\/((-4*sqrt(448) - sqrt(448)) + 2*sqrt(7)*-5).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5 - -2) + (-204)\/(-4). Let r(y) = y**3 - 2*y**2 + 3*y - 3. Let n be r(2). List the prime factors of ((-1)\/(-2))\/(n\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/14)\/((-1)\/(-2)*(-68)\/102)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -138*p + 143*p + 2*a + 7, 6 = -5*p - a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -10\/547 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 821\/7 + -117. Which is the nearest to 1? (a) -0.1 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -0.04 (c) -0.5 (d) 17 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6093 = 5*f + 2*o, 3*o + 1979 = 5*f - 4094. Which is bigger: 1215 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -79210, -158424, -237638, -316852?\nAnswer: -396066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -376 divided by -4.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 8*g**2 + 3*g - 3. Calculate p(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 341 - 176. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6.8 + 11.8. What is the closest to -1 in w, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*j**3 + 51 - 11*j - 34 - 239 wrt j.\nAnswer: 18*j**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1504*j - 1917 = -443*j + 267*j + 1443 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = g - 0*g - 4, -2*g = y - 8. Suppose -2*b = -4 - y. Sort 0.3, b, -1 in descending order.\nAnswer: b, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2683786 is divided by 9551?\nAnswer: 9506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + n - 88. Suppose 5*t = t + n. Suppose 0 = q - 4*w - 113, 22*q - 23*q - 10*w + 141 = 0. What is the highest common factor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1560 + 5?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-6*(sqrt(304)\/(-2*sqrt(8)*2))\/(sqrt(200)*2).\nAnswer: 3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1, -4\/3, -1391, -0.3, 20.7, 0.17?\nAnswer: -1391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -27*a**2 + 405*a - 6. Give b(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15373 + -14713. Calculate the remainder when i is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 126 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 96 - 93. Let x(d) = -70*d**3 + 51. Let s(w) = -141*w**3 + 102. Let y(m) = b*s(m) - 5*x(m). Differentiate y(g) wrt g.\nAnswer: -219*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/(-2))\/((-3)\/68). Let p = t + -24. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 50868 and 1489428.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 295*13\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, x: 12, q: 7}. Give prob of sequence xqx.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66) - -3*sqrt(66)*-5)\/(sqrt(294) + -2*sqrt(294) - sqrt(6)).\nAnswer: 7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (d**2 - 6 + 6 + (3*d - 4*d + 3*d)*(-2 - d + 2))*(-277 - 155*d + 277).\nAnswer: 155*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (m**2 + m - m)*(5 + m - 5)*(19 - 1 - 9) as k*m**2 + t + b*m**3 + p*m and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-160)*5)\/(53\/212).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 139\/1446 and 38\/3222411.\nAnswer: 6444822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 28*d + 8371. Give s(-255).\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-12))\/(10\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 10:15 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*h + h - o - 613, -o + 3077 = 5*h. Suppose -4*n = n - h. Let y = n + -72. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kooookokkkkokogkoko.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 - -5. Let w = 0 - y. Suppose -2297 + 497 = -w*n. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 532 divided by 133.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 516302 and 5092?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the second derivative of 0*d**3 - d - 65\/12*d**4 + 7 + 0*d**2 - 19\/10*d**5. What is the third derivative of w(i) wrt i?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 1 + 3*t + 6 - 2*t - 6. Let v(p) be the second derivative of -p**5\/20 - p**2\/2 - 4*p. Determine -g(c) - v(c).\nAnswer: c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.03694 - 0.23694. Which is the fifth biggest value? (a) 0.03 (b) -1\/3 (c) s (d) 6 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 74*f**2 + 3*f + 2. Give d(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-5 + -3 + sqrt(45)\/(sqrt(9) + sqrt(144)))**2.\nAnswer: 294*sqrt(5)\/5 + 2446\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 140 - -11564?\nAnswer: 12034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the third derivative of -7*b**6\/60 - b**5\/30 - b**4\/8 - 7*b**3\/2 - 46*b**2. Find the second derivative of f(a) wrt a.\nAnswer: -84*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61 is divided by 47.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and 4665.\nAnswer: 4665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2b0 - -4?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 5, f: 3}. Give prob of sequence cc.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -1 + (21 + -90 - (-14 + -10)) + -4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 + -226286.\nAnswer: -226284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -33 - -35. Do s and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of -z**5\/30 - z**4 - 12*z**3 + 41*z**2. Suppose j(o) = 0. What is o?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the third derivative of l**6\/120 - l**5\/12 - 5*l**4\/24 + l**3\/2 - 320*l**2. Let g = 35 + -21. Suppose q = 4*c + g, 2*c - 7*c - 4 = q. Give y(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -16661995815 and 0.0116.\nAnswer: -16661995814.9884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and -4441?\nAnswer: 4440.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00055177732 to 7 decimal places.\nAnswer: -0.0005518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -141*o - 17048 + 39228 + 54524. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 802*q = 969*q + 4008 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(75) + 2 + (-3*(-1 + sqrt(3)))**2).\nAnswer: -26*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 25520062553 + -2?\nAnswer: 25520062551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -1011 by -337.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (0 - -1)\/10 + ((-7853184)\/2005)\/408\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 + -17. Let a(h) = -31*h**2 - 3*h - 2. Let t be a(w). What are the prime factors of (t\/(-21))\/(5\/35)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -163*s - 496. Determine t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 2 - 2 = 0. Let f be (1\/y)\/((-3)\/(-36)). Let x(t) = t**2 - 6*t + 9. What are the prime factors of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30578928 is divided by 1528946.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 115 (base 7) to base 4\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -353020 divided by -5?\nAnswer: 70604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -741*i + 31. Let h be o(-13). Suppose h = 3*v - u, -7*u + 2*u + 16100 = 5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -98, -453, -1042, -1859, -2898?\nAnswer: -4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 + f - 8*f - 257.\nAnswer: -7*f - 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -19. Suppose 0 = -5*r - r + j. Solve 5*o = -3*m - r, 0*o + 2*o = 2*m - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -77\/3 - -25. Which is the third biggest value? (a) n (b) -5 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 + 3*n**2 - 63*n + 310. What is the remainder when x(6) is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 41\/2 of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 140 - 127. Let v be c\/6 + (-68)\/34. Factor v*j**2 + 1\/3*j + 1\/6.\nAnswer: (j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y**(-2\/7)\/y)\/y*y*y)\/y*y)**(-1\/7)\/(y\/(y\/(((y\/(y*y*y**(4\/7)*y))\/y*y)\/y)*y)*y**(-2)\/y) assuming y is positive.\nAnswer: y**(366\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 + -3. Suppose k*q = q + 6. Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c**4\/2 - 27*c**3\/2 + 27*c**2 + 6*c - 36 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6\/((1 - 2)*1). Let x(u) = 3*u + 11. Let z(b) = -3*b - 11. Let o(p) = -6*x(p) - 7*z(p). Let l(q) = -2*q - 6. Give n*o(c) - 11*l(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5\/(-2)*(-1932)\/35. Suppose 0*r - 2*b = -3*r + j, -2*b = 4*r - 184. Calculate the greatest common factor of 69 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iziziiizzz. What is prob of picking 1 z and 3 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -56, -1, 3 in increasing order.\nAnswer: -56, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 219 + -403. Suppose -99 + 22 = -3*g - 2*q, 0 = -3*g - 3*q + 78. Let a be (s\/(-10))\/((-2)\/g). Round a to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**22\/(r**(-47)*r))\/(r\/r**(-6\/13)*(r**(2\/9)*r)\/r) assuming r is positive.\nAnswer: r**(7759\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 11632 (base 9) to base 8.\nAnswer: 17175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - 7*s - 215. Let j = -22 - s. 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: Calculate (49 - 140) + 98 - 131.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 23 - 128 = 0. Suppose 7*s - b = 14. Suppose -89 = -c + 6*a - 8*a, s*a - 270 = -3*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -11)*2\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (2 - 4 - -1) + 0 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -75, 2, -2, 4 in decreasing order.\nAnswer: 4, 2, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5252 + 5268. Solve -i + r = 6, 5*i - 15*r = -k*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7961 + -2312. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 602009 is divided by 4331.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 18438346 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 - 5*o**2 - 6*o + 3. Let h be j(6). Is h > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -34*m + 20*m + 8*m. Let r be 0 + (-2)\/1*-7. What is the second derivative of 10*d**3 - d**m + 9*d**3 + r*d wrt d?\nAnswer: 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - x + 4*x - 29, 0 = x - 3. What is the closest to 0 in -0.4, l, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, c: 5}. Give prob of sequence cr.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4908, -8569, -14678, -23241, -34264, -47753?\nAnswer: -63714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -155, 4, 14, 2, -5 in ascending order.\nAnswer: -155, -5, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-12238)\/150)\/(102\/5). Let i = n + -46\/153. What is the common denominator of 73\/4 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -2*p**2 + 5*p + 53. Let q(h) = -h + 1. Let z(m) = j(m) + 5*q(m). Let g(i) be the first derivative of z(i). Let t(u) = 3*u**2. Give g(t(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.591 - 0.009. Let w = 7 + -2. Put w, 0.2, h in descending order.\nAnswer: w, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7251019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Put -1, 4, -10.085 in ascending order.\nAnswer: -10.085, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + 2795.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1680268369 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s - 66*s**2 + 4*s + 4*s + 87*s**2 - 3*s**3 + s**3 to the form v*s + l + n*s**3 + f*s**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 6*a - 6)*(46*a**2 - 45*a**2 + 5*a - 155*a).\nAnswer: -6*a**3 + 900*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -2*r**2 + 21*r - 21. What is x(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*n**5 + 9523*n**4 + 29804*n**3 - 38212*n**2 - 1040*n = 0. What is n?\nAnswer: -4, -2\/75, 0, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14 - -26. Suppose c = 4*w - 0*w. Suppose -2*s - 2 = 4*r, 3*s + 11 = r - w*r. Solve -r*y + 9 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 492083752 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 61, 64, 67?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6076)\/189 + 19 + 16 + 0 + -3.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -268*a**3*p**2 - 9*a**3*p + 2*a**2*p**2 - 9*a**2*p wrt p?\nAnswer: -536*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lto when three letters picked without replacement from {t: 2, z: 1, l: 1, e: 2, b: 1, o: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -983*p**2. Let w(y) = -118935*y**2. Determine 486*h(q) - 4*w(q).\nAnswer: -1998*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f - 10. Suppose 28*l - 12*l = -224. Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 - 16 = -8*x. Let j be x\/9*(-9)\/6. Put -2, 2, j in ascending order.\nAnswer: -2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {f: 6, c: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:13 PM and 7:18 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*n)*(-n + n + n) - 6*n**2 + 4*n**2 + 0*n**2 + (-5*n + 4*n + 3*n)*(-1 - n + 1) + 2*n**2 + 2*n**2 - 3*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9953 - -9948. Let l = -3 - -2.8. Let y = l - 0.1. What is the closest to 1 in y, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.115759*2\nAnswer: 0.231518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*r + o + 13, -4177*o + 9 = 4*r - 4174*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fdndnxindnn. What is prob of picking 1 n, 1 i, and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -83 and -0.09.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 37630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 84*g**3 + g**2 - 9*g. Let n(m) = -m**2 + 10*m + 8. Let y be n(10). Let u be a(y). What is u rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 PM and 10:15 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p - 1. Let t be j(-2). Let x(o) = -o**2 + 6*o - 3. Let l be x(t). Suppose -5*q = 2*m + l*m - 40, -4*q + 38 = 2*m. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 329464700*i**3 + 5*i**2 + 40575388 wrt i.\nAnswer: 1976788200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/4)\/((-3)\/66). Solve -1 = -5*u - a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32704015.\nAnswer: 5, 107, 61129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from plppppllvvvl. Give prob of sequence pll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.083, 0.08, 1\/6, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 3*n - 20, -10*n + 20 = -6*n. Let a(y) be the second derivative of 0*y**2 + 1\/6*y**4 - b*y + 0 + 0*y**3. Let v(w) = 5*w. Calculate a(v(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1141 is divided by 129.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5.722 + -7.722. Which is the fifth smallest value? (a) -3 (b) f (c) 2 (d) 5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1962*i + 42926 + 42030 - 15788 = -13236 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 102140.\nAnswer: 20428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**3 - a + a)*((4 - 4 - 8*a)*(-6*a + 4*a - 7*a) + a**2 + 2*a**2 - 4*a**2 - 5 - 6*a**2 + 5) + a**4 - a**4 - 2*a**5.\nAnswer: -132*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 - 17. Suppose p + 2*b + 1 = 0, -3*p = 3*b - 7*b + 33. Let i be (p\/21)\/(1\/(-3)). Sort -5, s, i, 5 in descending order.\nAnswer: 5, s, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 u, and 1 j when three letters picked without replacement from {p: 1, j: 3, x: 1, a: 2, w: 4, u: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/35 (b) -2\/3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 77 + -132. What is the tens digit of (w\/(-10))\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n - 4*n**2 - 4*n)*(-n**3 + n - n) + 0*n**5 + 5*n**5 - 3*n**5.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3*i. Let y(s) = s**2 - 2*s - 3. Let z be y(3). Let w(l) = z*l + 6*l - 3*l. What is w(j(m))?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17895841?\nAnswer: 17895841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange q**2 + 5 + 11 - 17 + 6*q**4 + 6*q - q**4 to the form w*q**3 + d + t*q**2 + r*q + g*q**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-84)\/36 + -6 + 9. Put i, 87, 5 in ascending order.\nAnswer: i, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 81234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -160651, -1285219, -4337601, -10281703, -20081431, -34700691, -55103389?\nAnswer: -82253431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 + 59871?\nAnswer: 59870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.129990221878 take away 0.1333?\nAnswer: -0.003309778122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-27) - 391\/(-153).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-108)\/(-195) + (-6)\/15?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (20*(-10)\/(-72) - 3)\/2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 34*x**2 - 2*x - 1. Let u be v(1). Let s = u - 29. Let w(b) = 3*b**2 - 2*b + 2. Determine w(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 117 + -94?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 10:06 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -40 divided by -241?\nAnswer: 40\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24)*-1*-5)\/(-3*sqrt(432)))**2*2.\nAnswer: 25\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -57860, -57859, -57844, -57803, -57724?\n\"Answer: 2*s**3 - 5*s**2 + 2*s - 57859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -32, 3\/4, 0.1, -8, -2, 5 in decreasing order.\nAnswer: 5, 3\/4, 0.1, -2, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 14*d + 61 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -20*n**2 - 2*n. Let u(h) = -2*h. Give c(u(y)).\nAnswer: -80*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 122625905 to the nearest integer?\nAnswer: 11074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 19 - 21*40\/70?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:00 AM and 5:46 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17 + 13.25. Let p = 0.25 - r. Which is the third smallest value? (a) p (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/13 in -3.6, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 237882221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 102 - 102. Suppose l = 3*v - 637, 3*l + 3 = -m*l. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-304)\/(-1672)*(-1)\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1))**0\/(i**(-10)\/(i\/(i\/i**3)*i)))**(1\/4) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 54293 at least as big as 54295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x, 1 n, and 1 a when four letters picked without replacement from {x: 2, c: 8, a: 3, n: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 5*f = 176, 81 - 4 = i - 3*f. Suppose -i = -4*o + 1. Let a be (-14)\/o*(-1 - 2) + 3. Is 8 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from iaaaavavavava.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 10 = -2*j. Suppose -4*p + 5*x + 25 = 4*x, -2*x - j = p. Solve 0 = -p*m + 20, 2*m + 0*m - 2 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 5*o - 149 + 22, 6 = 2*o. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 - 182*y**2 + 1914*y - 648. Give t(-192).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 72\/45*(-10)\/(-4). Solve 3*m - 3 = 3*n + 3, -w*m = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/14 - 29\/(-11) and (2\/(-10))\/((-48)\/(-2700)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -106\/175 + 8\/25. Let j = -291.7 + 292. Which is the nearest to s? (a) -10 (b) j (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14781, 59127, 133045, 236541, 369621, 532291, 724557?\nAnswer: 946425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2784, -5582, -8390, -11214, -14060, -16934, -19842?\n\"Answer: -q**3 + q**2 - 2794*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -559, -5 in decreasing order.\nAnswer: -3, -5, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 27868.4465 to the nearest one hundred.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 29 - 19. Let w = 2 + b. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**3 - 11*r**2 - 17*r + 12. Suppose 24 = -2*d - 2*q, -2*d - 3*q = -7*q + 6. Let c be p(d). Calculate the greatest common divisor of c and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 326 = 2*h, 39 + 79 = l - 3*h. What is the remainder when 112 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 606*s**5 + 41*s**3 + 3938*s**2 - 8*s + 2.\nAnswer: 36360*s**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -60*a + 88. Let t be o(1). Solve -t*i + 12 = -26*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 219834 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zee when three letters picked without replacement from {u: 2, s: 5, z: 2, i: 7, e: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 5*p**2 + 8*p - 9. Let k = 5 - -1. Let d be q(k). Calculate the remainder when 56 is divided by ((-14)\/d + 4)*-30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50036700.\nAnswer: 2, 3, 5, 7, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2142 - -2131. Let r(y) be the third derivative of -y**6\/120 - 3*y**5\/20 + y**4\/2 + 5*y**3 + 3*y**2. List the prime factors of r(o).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1120 by -160.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 51 + -47. Let y(a) = a**3 - 2*a**2 + a. Let c be y(1). Suppose -3 = -c*x + 3*x. Put u, 1, x in decreasing order.\nAnswer: u, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2172 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-215*47\/(-4042))\/(-10*38\/(-16))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t + 2*t - 2*t)*(0*t**2 - t**2 - t**2) - 2 - t**3 + 2 - t**3 - 2*t**2 + 2*t**2 + (5 - 3 - 1)*(-4*t**3 + 4*t**3 - t**3) + 57*t**3 - 15*t**3 + 92*t**3.\nAnswer: 135*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.07989 - -0.08. Round u to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -464 (base 9) to base 3\nAnswer: -112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*s + 70224 = 19*s - 10*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 208, 766, 1688, 2974, 4624?\nAnswer: 6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.12 times 3367484\nAnswer: 404098.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(117) - (sqrt(325) + 0)) + 1*sqrt(1300))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.067 + -1.067. What is the second biggest value in t, -0.9, 4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*i + i + 21. Suppose -f = x - 2 - 3, -3*x - i = 0. Solve -h = -3*h + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 + 1. Let q(b) = -2*b**2 - 2*b + 3*b**2 - 24 + 22. What is -2*g(r) - q(r)?\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, j: 3, e: 2, p: 4}. What is prob of sequence kp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 8*d - 7. Let n be s(-3). Let z be 12\/8*1*n\/6. Suppose z*k = -0*k + 340. What is the remainder when k is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sg when two letters picked without replacement from {g: 4, d: 3, s: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (529\/(-15))\/((-275195)\/35895).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 9, e: 1, h: 1, o: 5}. Give prob of picking 1 n and 1 h.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 370, 737, 1104, 1471?\n\"Answer: 367*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -7*f - 9624. Let k(i) = -12*i - 19221. What is -3*k(h) + 5*w(h)?\nAnswer: h + 9543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1578, -2890, -4196, -5496, -6790, -8078, -9360?\n\"Answer: 3*n**2 - 1321*n - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 25 = 5*h, 3*t + t - 5 = -h. Suppose t*f - 5*l = f - 24, 4*f = -3*l + 28. Is (f\/1 - 1) + 37 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -53 + 53 - 20*f to g + b*f and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of 3*v**6\/40 - 11*v**5\/20 + v**4 + 220*v**3\/3 - 83. Let p(t) be the third derivative of s(t). What is n in p(n) = 0?\nAnswer: 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.29904874 rounded to three dps?\nAnswer: 0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + t**4 + 2 + (-4*t**2 + 2*t**2 + 0*t**2)*(4*t**2 - 4*t**2 - t**2) + 1 + t**4 - 1 + 3*t + t**4 - 3*t - 3*t**4 + 6*t**4 - t**4 - 4*t**4 + 2*t**4 - t**4.\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 408943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.7 times -0.005\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 3*v + 77 = 0, 0 = 1204*b - 1207*b + 2*v + 69. Calculate the remainder when (89\/(-3))\/((-2)\/6) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -14*z - 14. Let t(o) = 9*o + 9. Let p = -5 - 3. Let y(g) = p*t(g) - 5*u(g). What are the prime factors of y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -337, -661, -983, -1303, -1621?\nAnswer: -1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1593.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50\/16*3672\/(-4590)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -674\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 238 = 5*r - 3*r. Let y be r\/105 - (-2)\/(-15). Which is bigger: y or 2\/25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 228*y - 3. Let z(r) = 293*r - 4. Let t(s) = -9*x(s) + 7*z(s). Let g(q) = -59*q**2 - 7*q - 8. What is -g(j) + 6*t(j)?\nAnswer: 59*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 10*t**3 - 10*t**2 - 24*t + 10. Let x = -36 + 22. Let z(k) = -2*k**3 + 2*k**2 + 5*k - 2. Let d(o) = x*z(o) - 3*n(o). Determine b, given that d(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48123 = 10*i - 7*i + 411. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -111 - (-91 + 265 + -191)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*1*sqrt(6)*1*-2)\/((-1*sqrt(528)*2 + sqrt(528))\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-1)\/q)**3\/(q**1*q)**(-5\/12))**24 assuming q is positive.\nAnswer: q**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 8*l**2 - 6*l + 14. Let x be t(3). Which is bigger: 67 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -37.3 - -37. Which is the closest to -2\/7? (a) r (b) 1\/9 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.05 - -1.25. Let u = s + -1.19999944. What is u rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*b**4 + 0*b**2 + 0*b**4 + b**2 + (542*b**2 + 186*b**2 + 176*b**2)*(b**2 + 5*b**2 - 5*b**2) in the form c + f*b**2 + x*b**3 + n*b**4 + o*b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -76*f**3 - 32*f**2 - 32*f - 32. Suppose 3*d - 29 = -23. Let r(l) = 2*l - 5*l - 5*l + 5*l - 3*l**d - 7*l**3 - 3. What is 3*k(u) - 32*r(u)?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -21*p**2 - 43. Let k(z) = z. Determine k(h(q)).\nAnswer: -21*q**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-178)\/4 - ((-55405)\/(-3166) + (1 - 20))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3733891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 - 4*n**2 + 5*n + 3. Let o be l(-5). Suppose -2*c - o = 4*x + 1, 0 = 4*x - c - 2. Suppose -g = -x*g - 18. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 + (31 + 5 - 42 - -120).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -29 + 37. Suppose -9 = -z*q + 15. Solve -q*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 432436472*c**2 - 6 - 14*c - 432432719*c**2 - 235 wrt c.\nAnswer: 7506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence on when two letters picked without replacement from nonuf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111110101 - -10001100?\nAnswer: -101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 5:37 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of w**3\/3 + 221*w - 1096. Let g(z) = -2*z**2. What is h(g(b))?\nAnswer: 4*b**4 + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 - 3)*(-13 + 13 + 4 - 79*t + 29361*t) to the form n + c*t and give c.\nAnswer: -58564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 128.08 times 170\nAnswer: 21773.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 141*k**3 - 1210*k - 1230*k + 2436*k.\nAnswer: 141*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 29930 - 29921. What is r in 51\/4*r**2 - 45\/4*r**5 + 177\/4*r**4 - 3 + a*r - 207\/4*r**3 = 0?\nAnswer: -2\/5, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 61*n - 27*n**3 - 61*n - 2*n**3 + 4*n**3 - 3*n**3 + (0*n**2 - 2*n**2 + 3*n**2)*(2*n + 3 - 3) - 52 + 3*n**3 + 52.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 11*b**2*o - 9*b**2 + 11*b*o**2 + 19 wrt o?\nAnswer: 11*b**2 + 22*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + o)*(13*o**2 - 13*o**2 + 15*o**3) + 1 - 3*o**4 - 4*o**4 + 4*o**4.\nAnswer: 12*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 110678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*r**2 + 4\/3*r + 0 - 4\/3*r**3.\nAnswer: -4*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t**4\/4 + 134547*t**3\/4 + 67269*t**2\/2 - 67272*t = 0.\nAnswer: -44848, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**3 - 4316*b**2 + 26020*b - 21700.\nAnswer: -4*(b - 5)*(b - 1)*(b + 1085)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 39324253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 85341.74nm in micrometers?\nAnswer: 85.34174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of w**6\/60 - 11*w**5\/30 + w**4\/24 - 10*w**3\/3 + w**2 + 2. Is 35 a factor of c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = k**3 + 6*k**2 + 3*k - 7. Let g = -29 - -49. Suppose 2*q = 0, 4*c + 0*c - 3*q + g = 0. What is b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -19.5 and 2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -121*g**2*s**3 - g**2 - 2*g*s**2 - 25*s**2 wrt s?\nAnswer: -726*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 1496 = -118*u - 150, 2*u - 3*f = -22 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 30 = -0*g. Let w be ((-6)\/g)\/(7\/(-5)). Which is the nearest to -2\/5? (a) 5 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-315)\/(-6))\/((-6)\/(-5))*4?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*g + 577 = -53*g + 2154. Solve 5*o - 88 = -g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211 (base 4) in base 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 81 + -96 + (19 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b**3 - b**3 + b**3)*(5*b + 2*b**2 - 5*b) - 16*b**2 - 2*b**5 + 16*b**2.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 512867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 1015*s**2 + 14*s + 32. What are the prime factors of j(-2)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -153 + 98. Let p = n - -182. Let w = -8 + p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132) + (sqrt(132) - ((sqrt(132)*4 + sqrt(132))*-5 + sqrt(132))))\/((sqrt(3) + (2*4*sqrt(3) - sqrt(3)))*-2).\nAnswer: -13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -106757 (base 8) in base 6?\nAnswer: -440115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/1851012 and -53\/22852.\nAnswer: 1851012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 7, 0, -24, -6\/83?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 706157.\nAnswer: 706157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -555322 - 5?\nAnswer: -555331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 2 - -17 - 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 5 times -11.63\nAnswer: -58.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -38b62 (base 15) to base 11\nAnswer: -114358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p - 2*p - 2*p + 7*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 18664169.38 rounded to the nearest 100000?\nAnswer: 18700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 + 3*j + 4. Let v be u(-3). Let z be (4\/5)\/(2\/25). Suppose v*m - z = -m. Solve -2*c - m*c - 5*t = 18, -12 = c + 5*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 242 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 plus 22986167.4365?\nAnswer: 22986167.1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 PM and 2:10 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(400))\/sqrt(8))**2 + sqrt(10)\/sqrt(5)*-1 + 4.\nAnswer: -sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 868705247 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49526120 is divided by 4304?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 5*c = 21, -o + 0 = 2*c - 2. Let q(k) = 54*k - 6. What is the hundreds digit of q(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3193, -6378, -9555, -12724, -15885, -19038, -22183?\nAnswer: -25320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 AM and 4:53 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 26 + -30. Let j(h) = h**2 + 3*h + 1. Let b be j(f). What is the greatest common factor of 35 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3 (c) -5 (d) 136 (e) -53 (f) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 1086*c + 58421. Give z(-53).\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 12169.69kg?\nAnswer: 12169690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -3*u**5\/2 + 805*u**4\/2 - 5749*u**3\/2 + 1827*u**2\/2 = 0.\nAnswer: 0, 1\/3, 7, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4705 - -3146. Let m = p - -8320. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -102*h + 7235. What is w(71)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -614591.\nAnswer: 5\/614591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f**4 + 8454*f**3 + 8448*f**2 - 16904*f = 0 for f.\nAnswer: -4226, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -5101816 by -1275454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3708399966.\nAnswer: 2, 3, 4663, 132547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1461, 11863, 40233, 95601, 186997, 323451?\nAnswer: 513993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 4*x = -10. Suppose 0 = 4*b - 2*l - 26, -b - x*l + 17 - 5 = 0. Suppose -b = -r + 3. Solve 5*k - 16 = n, 3*n = n - 4*k + r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 81.57753ng to grams.\nAnswer: 0.00000008157753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 44*y**5 + 1416*y**4 - 9380*y**3 + 13120*y**2 - 3984*y - 1216 = 0. Calculate y.\nAnswer: -38, -2\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -4*w + 5 - 5. Suppose 3*c + 20 = -c + 4*g, -c - 5*g + 19 = 0. What is the units digit of a(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f + 63. What are the prime factors of t(-12)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*b**2 - 6*b + b - 3*b + 11*b + 0*b - 9*b**2.\nAnswer: 21*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -459*x - 22192 = -461*x. Does 46 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -94*t**2. Let d(q) = 1977*q**2 + 3*q. Give d(f(n)).\nAnswer: 17468772*n**4 - 282*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13 - -8. Let g = -0.2 + 2.2. Let i = 2.3 - g. Sort -4, f, i in descending order.\nAnswer: i, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1243, -2300, -3357, -4414?\nAnswer: -5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -m = -4*j + 19, m - 2501*j + 5011*j - 2509*j + 4 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 771, 5860, 19697, 46656, 91111, 157436, 250005, 373192?\nAnswer: 531371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.4 - -1.6. Suppose 0 = 3*n + 3 + 33. Let r = n - -11. Is r <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-8) - 10\/(-24). Suppose 0 = 2*s + 3*s - 15. Suppose 4*f = -4*t - 4, 5*f - s*t + 6*t = 1. What is the third biggest value in f, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b. Let m(f) = 26*f + 2. Let z(w) = m(w) + 4*v(w). Calculate the remainder when z(2) is divided by 12\/(18\/120*5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 392 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 14 = 2*x. Let u = -1 - 2. Put -1, u, x in descending order.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51371?\nAnswer: 47, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from yvddvldvvls?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 104842160 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(2\/5)*i)\/(i*i**(8\/3)))\/(i\/((i*i*i**(-1\/5)*i)\/i)*i\/i**(-1\/4)) assuming i is positive.\nAnswer: i**(-163\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 45*u**2 - 43*u - 19. Calculate x(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2570102279?\nAnswer: 17, 19, 353, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15768 and 284919?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1778 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**3 - 7*z**2 + z - 4. Let t = -46 - -53. Let v be y(t). Solve 0 = 2*i + v*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6*(3\/(-3))\/(-1). Let m(p) = 7*p - 4. Calculate the remainder when m(r) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2116666.\nAnswer: 2, 41, 83, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 5, b: 11}. What is prob of picking 1 b and 1 x?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -l**2\/4 + 6334285*l - 40123166461225 = 0.\nAnswer: 12668570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be 269 + -1 - (-66)\/66. Suppose b - 676 - l = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 54*u + 3\/2*u**2 + 297\/2 = 0. Calculate u.\nAnswer: -33, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 31.2 - 29. Let v = -1.5 + o. Let g be ((-4)\/18)\/(3\/(-9)). Put v, g, 1\/4 in decreasing order.\nAnswer: v, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 3*d + 5 = 0, -55*d + 70*d - 20 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.05 and -8.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -70*s**2 - 1343*s - 4438. Give i(-15).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*w**2 + 6 - 5 - 3)*(-2 + 12*w + 5 - 2) as g*w + n*w**3 + c*w**2 + h and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 294 - 2073\/7. Is a less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 625286.\nAnswer: 2, 312643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1473000 rounded to the nearest 10000?\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 2*x + 17. Let u = 25 - 33. Let v be m(u). Solve -3 = 2*b + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 496957099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(5 + -1)*-8. Let u(l) = -2*l**3 + l**2 + l - 1. Let o be u(1). Let q be -3*o\/6*0. Solve 0 = s*z + 2*t + 10, -5*t + 10 = 3*z - q*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 294887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 350555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136)\/sqrt(8))**2 + -4 + 3*sqrt(612).\nAnswer: 13 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve k**4 + 20*k**3 - 283*k**2 + 502*k - 240 = 0 for k.\nAnswer: -30, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9 - (-10 + 23 - 10). Solve 0 = 8*z - f*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b1d - 15?\nAnswer: -b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 43 + 52. Let h be c\/15 - 1\/3. Put h, -5, 2 in descending order.\nAnswer: h, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 3*q**2 + 3*q + 3. Suppose b - 5*m - 24 = 0, -2*m + 2 + 2 = 3*b. Suppose 2*n + 3*v - v + 2 = 0, -5*v + 13 = -b*n. Determine i(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y + 5*p = 3*y - 4, -12 = -3*y + 3*p. Suppose 0 = 2*j + 3*r - 51, -j + 44 = 3*r + 11. Calculate the remainder when -1*96*y\/(-6) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -8 + (4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 13326256 and 32?\nAnswer: 26652512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (4 - (5 - 2 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -35, -62, -83, -92, -83, -50?\n\"Answer: v**3 - 3*v**2 - 25*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/23))**(3\/28)*(k\/k**(-11))\/k*k\/(k\/k**(2\/23)) assuming k is positive.\nAnswer: k**(3573\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of b**6\/72 - b**3\/3 + 8*b**2. Let l(x) be the first derivative of t(x). Let p(s) = s + 0*s + 0*s. Calculate p(l(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1042 - -1046. Suppose -3*q - 8 = -5*q. Let k be q\/(-16) + 11\/12. Put k, -6, u in increasing order.\nAnswer: -6, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 205 + -626. Let n = 424 + r. Solve -5*k = -x - 29, -2*x - 31 = -n*k - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 457, 455, 453, 451, 449?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49 + (-13 - 27) + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of -i**4\/4 + i**3\/6 - i**2 + i. Let z(w) = 7*w**2 - 2*w + 5. Calculate 5*l(d) + 2*z(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 1136?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 + 6*u + 100. Let x(l) = 3*l + 3. Determine f(q) - 2*x(q).\nAnswer: -q**2 + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**2 + 14*j + 10. Suppose -5*s - 19 = 26. Let b be z(s). Suppose -w - b = -2*v - 3*w, -w = -3. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 186 + 18 = 0. Suppose -n = -5*u + 2*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4723.\nAnswer: 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1f83 (base 16) to base 7\nAnswer: 32343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -5*l + 18, -l + c = l - 9. Suppose -2*v - v + 30 = 0. Let n = v + l. Calculate the remainder when 38 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-110)\/(-12))\/((-80)\/(-32)))\/(1\/(-3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 13 = i - 3*z, -5*z = -3*i + 28. Put -8, i, -3, 3 in descending order.\nAnswer: 3, i, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 117 = 727. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -363*u**3 + 10*u**2 + 2*u - 7. Let z(f) = 181*f**3 - 4*f**2 - f + 3. What is 3*o(h) + 7*z(h)?\nAnswer: 178*h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12.582 + 20.582. Sort -4, 1, -5, 0.4, s in ascending order.\nAnswer: -5, -4, 0.4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2070998 centuries to decades.\nAnswer: 2.070998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 188811 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 20\/((-20)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the second derivative of -b**3\/3 - 9*b**2\/2 + b. Let t = -10 + 4. What are the prime factors of o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6\/7? (a) -99 (b) -6894.6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 56\/42*(-24)\/2. Suppose -w - 75 = 4*w. Is w greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13370\/3 - 4499. Let x = v - -42. Let q = -0.06 + 0.46. What is the closest to 0.2 in 1\/4, q, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(1\/22)*k\/k**(-18))\/(k*k**(1\/2)*k*k*k*k**(-18)) assuming k is positive.\nAnswer: k**(369\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 plus -83?\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11070533\/16 + -691165. Let b = j + -744. Find the common denominator of -33 - ((-7)\/2 + 3) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 441 and 92475?\nAnswer: 4531275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of -3*r**2 - 75*r - 21. Let v be y(-14). Solve 5*l = 4*q - v, 4 = 2*q + 2*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 77*s**3 + 744*s**2 - 149*s**3 + 0 + 2*s - 22*s**2 - s**4 + 73*s**3 as p*s**3 + l*s**2 + m + a*s**4 + y*s and give l.\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2321587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 506 divide 97176578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -988564, -988896, -989228, -989560?\n\"Answer: -332*c - 988232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 2 = -w - 10, 2*o + 5*w - 26 = 0. Suppose -172 = o*y - 7*y. Which is smaller: y or 44?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*((u*u**5*u)\/u)\/u)\/(u\/(((u**(-1\/2)*u)\/u)\/u))*u*((u\/u**(2\/5)*u)\/u)\/u*u\/(u\/(u*u\/(u\/((u\/(u**(10\/3)*u))\/u))*u))*u*u assuming u is positive.\nAnswer: u**(113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*f**2 - 668*f + 668*f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 196956 is divided by 183?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 308 and 8547.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*a - 3*a - a)*(1 - 1 - 2*a) + (2 + 0 + 0)*(-34 + 34 - 5*a**2) - 33*a**2 + 9861 - 4927 - 4931.\nAnswer: -47*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 6) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -186.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1155 + 1490?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12856, 24622, 36374, 48106, 59812, 71486, 83122?\nAnswer: 94714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7314)\/189 + 1\/7. Let z = c - -39. Let z*o + 2\/3 - 2\/9*o**2 = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.05, 17, -0.5, 0.5, -15461 in decreasing order.\nAnswer: 17, 0.5, 0.05, -0.5, -15461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be (7\/1 - 1) + 0. Let j be (v + 1)*30\/42. Solve j = 4*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.5528146 decades?\nAnswer: 5.528146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 903, 3617, 8137, 14463?\nAnswer: 22595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -7246 by 2.\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 326423448?\nAnswer: 2, 3, 13, 277, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 422336 = 4*j - 2*z, 0 = -5*z - 25. Let o = j - -14579. What is o rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12.4 + -182.4. Let s = -80449018.7000107 + 80449188.7. Let n = v + s. Round n to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + o = -20, n + 30 = -0*n - 3*o. Let z be 10 - ((-5)\/(-10) - n\/(-6)). Calculate the greatest common factor of z and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(972))\/((-2*sqrt(12))\/sqrt(3)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 198727, 397424, 596121?\nAnswer: 794818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -19, 3, -567, 5 in increasing order.\nAnswer: -567, -19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2243374 at least 2243373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + 95. What is the remainder when x is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -633 - -633. Suppose g = 7*z - 555 - 1195. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - 3*f = m - f - f, 2*m + 7 = f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -111000 (base 2) in base 15?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2083226638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 1:38 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 38795961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 6471*b**2 - 9*b + 34. Let q be s(17). What is q rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 4 (b) 1\/17 (c) -8\/19 (d) 0.1 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13 + -9. Suppose 3*h = 3*o - 807, -i*h = -3*h - 4*o + 257. Is (6\/9)\/((-2)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/10)\/((-101416)\/1050380).\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - 5*sqrt(99)*-2))\/(sqrt(9) + sqrt(1296)*2 + sqrt(1296)))**2.\nAnswer: 1100\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**3 - g**2 + 4*g - 3. Let v be (-55)\/(-20) - (-3)\/(-4). Suppose -33 + 3 = -v*k. Calculate the remainder when j(-4) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1640442731.\nAnswer: 23, 71323597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56119 is divided by 18706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 98093431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1476*v**2 + 5*v + 1430*v**2 - 3*v - 4*v.\nAnswer: -46*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 23\/5, 2\/3, 4, 0.3 in decreasing order.\nAnswer: 23\/5, 4, 2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -10*d**3 + 5*d**2 + 3*d - 7. Let f(g) = -3*g**3 + 2*g**2 + g - 2. Calculate 2*b(l) - 7*f(l).\nAnswer: l**3 - 4*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4*(-20)\/(-320))\/((-14)\/(-96)))\/((-18)\/441).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 2*j**2. Let x(y) be the third derivative of -7*y**5\/60 + 2*y**2 + 11. What is g(x(q))?\nAnswer: 98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36 + -67 - -22 - (1 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5101647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 7 + 9 = 0. Suppose 8*j = 4*j - 8. Is 15 a factor of j\/(4\/(-90)) + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 65 (c) 0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 4*s + 260 = -0*k, 5*s = -4*k + 388. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 772*f**2 + 1314*f**2 + 1255*f**2 + 305*f**2.\nAnswer: 3646*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*p - 81106 = -81132 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.6 and -0.0999?\nAnswer: -0.05994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 58, -3, -12\/11, -50.\nAnswer: -50, -3, -12\/11, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 119 - 54. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4036616?\nAnswer: 2, 17, 67, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 20 = -t. Let x(m) be the second derivative of 0 + 1\/2*m**2 - 2*m + 1\/6*m**3. Determine x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2471*y - 11120 = 1081*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -57241000 rounded to the nearest 100000?\nAnswer: -57200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1813 and 15095593.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 77.16914 years in centuries?\nAnswer: 0.7716914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**2 - 78*w\/7 + 24\/7.\nAnswer: -3*(w + 4)*(7*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.7 + 0.9. Let k = -2 + 2. Let a = 0.1 - k. What is the third biggest value in 1, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 3*i = 20 + 6, 0 = m - 4*i + 4. What is the third biggest value in -5.1, m, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.267401 rounded to two decimal places?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-42)\/4*(-2)\/(-3). What is the tens digit of g\/(-7) - (-41 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -592*i*l**2 - 22*i + 4*l wrt l.\nAnswer: -1184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/5 and 43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 539 and 10976.\nAnswer: 120736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + -2 + 2 + 1. Suppose 14 = 3*w - r*w. Let b = -74 - -114. Calculate the remainder when b is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -3*w**3 + 2*w**2 - 14*w. Let g(f) be the first derivative of 0*f - 1\/3*f**3 + 1 + 1\/2*f**4 + 9\/2*f**2. Let m = -59 + 67. What is m*g(k) + 5*r(k)?\nAnswer: k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -651 (base 7) to base 8\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 5 = 6*g. Suppose -p + 0*p + 73 = 0. What is the remainder when 12\/16 - p\/(-4) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + -1. Let f = -406 - -424.1. Let a = 14.1 - f. What is the second biggest value in a, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 - 10*z**2 + 7*z + 4. Let j be u(9). Let r(f) = f**2 - 10*f - 5. Let h be r(12). Let x = j + h. Solve -x*b = -2*a + 19, 0*a = 5*a - 3*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence odf when three letters picked without replacement from filrddo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1083098663 to the nearest integer?\nAnswer: 32910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 14, a: 4}. Give prob of sequence addd.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3790959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m + 4. List the prime factors of r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 48.7 + -49. What is the nearest to 3 in 0.1, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 13*a**3 - a**2 + 1. Let i be w(1). Let b(r) = 2*r**2 - 16*r + 3. Is b(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9499.497ns to microseconds.\nAnswer: 9.499497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 27 - 15. Suppose -21*v + 17*v + 16 = 0. Calculate the least common multiple of v and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29 + -30. Let b(u) = -7*u**3 + 5*u - 5. Let o(g) = -g**3 + g - 1. Determine t*b(l) + 5*o(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 157*w**2 - 401 - 667*w**2 + 39 - 252 - 216 wrt w?\nAnswer: -1020*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-9\/4)\/(n**1\/n) assuming n is positive.\nAnswer: n**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (10 - 17\/((-1683)\/(-902)))*(-9)\/(-2). Solve 6*z = s*t + 2*z - 16, -t - 8 = 5*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -17935088505.56?\nAnswer: -17935088503.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-160)\/(-360))\/(16\/(-1512)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Is 54746 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - -46. Let l(u) = u**3 - 24*u**2 - u + 14. Let c be l(24). Let y = c + g. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 PM and 4:39 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 65917891 to the power of 1\/2, to the nearest integer?\nAnswer: 8119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3. Suppose -124*i + 126*i - 6 = 0. Let f(t) = 0*t**2 + 52*t + 6*t**3 + t**2 - 3*t**i - 50*t. What is -2*a(y) - f(y)?\nAnswer: -y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9760 + -9733. Solve f*h = -35*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-595)\/(-28)*4 - 1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*k**5 - 130*k**4 + 565*k**3 - 860*k**2 + 420*k = 0. What is k?\nAnswer: 0, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.7658466 and 0.3?\nAnswer: -0.22975398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffmfm. Give prob of picking 1 f and 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*q = -6847 + 6763 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4615 - 4616. What is the second biggest value in x, 1\/13, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llqzlzzll. What is prob of sequence lzz?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 9918.215 litres in millilitres?\nAnswer: 9918215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1481942 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (270\/40 - 10)*(-3)\/(12\/(-16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 567*i - 120198. Calculate b(212).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 0.339 at least as big as -3769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001000 + -100?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1768500 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k**(1\/2))**(1\/31)\/(k\/k**(-2\/3)*k**3*k))\/(k**6\/(k\/((k**(1\/9)*k)\/k))*(k**(-2\/3)\/k)**(1\/5)) assuming k is positive.\nAnswer: k**(-5783\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 k when three letters picked without replacement from {k: 2, t: 2, i: 1, l: 1, j: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 584 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2*(3 + 2\/(-2)). Suppose n*j - 109 = 115. Let m be (-6)\/1 + 3 - j. Round m to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (t + 3 - 3)*(-2 + 2 + 2*t**3) - t**4 + 2*t**3 - 2*t**3 + (4*t**3 - 54*t**3 - 30*t**3)*(3*t - t + 0*t).\nAnswer: -159*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + s = 2*v + 360, -5*v - 3*s - 910 = 0. Let b = v + 43. What is the units digit of (b\/5)\/(24\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.401435 litres to millilitres.\nAnswer: 6401.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*o + 42 + 122 = 0. Solve -p + o*p = -a - 3, -5*p = -2*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + l**2 + 6*l**3 + 0*l**2 - 2*l - l**2 to the form h*l + v + c*l**2 + m*l**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -15\/7? (a) 1 (b) -1\/2 (c) -0.3 (d) -40.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:29 PM and 12:34 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.117 and 3.77319?\nAnswer: -0.44146323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(3 + sqrt(847)*3 + (sqrt(1715)\/sqrt(5) - sqrt(7))).\nAnswer: -39*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/n**(-2\/11))\/n**(3\/5))\/(n**(-2\/7))**28)**(9\/8) assuming n is positive.\nAnswer: n**(531\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36.3109 + -0.247.\nAnswer: -36.5579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 2*w - 12, -2*w + 18 = w - 4*n. Let f(i) = 4*i**2 - 13*i + 5. Let h be f(w). Let k = -24 + h. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 826000 to the nearest ten thousand.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 6) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 749b (base 15) in base 3?\nAnswer: 1020211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5498*l + 5495*l = -594. Calculate the lowest common multiple of 33 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 PM and 11:58 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*q = -3*v - 32*q + 64*q - 7, -12*v - 3*q = -48 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zxbxczxscccixzb. Give prob of sequence ics.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 24355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 232*m**3 - 842*m**3 + 61*m**3 + 205*m**3.\nAnswer: -344*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (20\/(-6500))\/((-9)\/1125)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -4*i - 2*g, 3*i - 5 = 3*g + 1. Which is greater: 29\/4 or i?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 217 is divided by (6\/(-4))\/((-1785)\/(-112) - 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 889430868 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -5*d - 2890, 24*h + 2*d + 2884 = 29*h. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/((-5355)\/18) + ((-1147248)\/(-840))\/(-31)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -944 - -2833\/3. Suppose -4 + 8 = 2*g. Let n = 22 - 20. What is the closest to g in n, -5, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -327*n**2 + 3*n - 281*n**2 + 610*n**2. Let o(m) = -6*m - 1. Calculate l(o(v)).\nAnswer: 72*v**2 + 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + 119c186?\nAnswer: 119c185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 347 and 210629?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.945 less than 332674?\nAnswer: 332672.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 7:24 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 40 = -5*s, l + l + 3*s = 21. Let z be (-4 - (-2 - 13))\/(l\/6). Solve -2*q + 7*q**2 - z + 22 + 9*q**3 = 0 for q.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 87 - 4*t - t - 61 - 60. List the prime factors of h(-16).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -46898 + 46893. Let j(o) = -o**3 + 6*o**2 - 5*o + 2. Let l(u) = u**2 - 2*u - 3. Let g be l(-2). Let s be j(g). Sort -4, 4, d, s in descending order.\nAnswer: 4, s, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 28.5 - 28. What is the closest to 0.2 in 0.3, l, -2\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34825530 divided by 9055?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 + 0.8. Let r = 1 - j. Let q be ((-11)\/(-22))\/(7*2\/4). What is the nearest to r in 3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 146279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9 + 11. Let f(b) = -2 + 3 + 0*b**t + 2*b + b**2 + 5*b. List the prime factors of f(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1713 - -74. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**2 + 2*m + 135. Let h be k(-9). Let c be 6\/(-1 - -3) + -1. Suppose -5*y - h*y**2 + 2*y + 39*y**c = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13)*-2 + -1)*4*-6 - ((sqrt(130) - sqrt(130)*2*-2)\/(sqrt(20)\/sqrt(2)*-4))**2) + -4.\nAnswer: -5\/16 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 5*s - 618, 161 + 85 = 2*s - h. Calculate the least common multiple of 10 and s.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 11843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -107 or 83519?\nAnswer: 83519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46316 is divided by 601.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 86420 and 224692?\nAnswer: 1123460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence orm when three letters picked without replacement from rorrtrmtrrrmortrtrrr?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 8441175*o. Let k(u) = -3*u. Calculate l(k(b)).\nAnswer: -25323525*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 3*z**3 + 2*z**2 - z + 3. Calculate r(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -6*j**2 - 3*j - 8. Let a(o) = -o - 2. Let k(t) = 4*a(t) - m(t). Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 - 46*s**2 + 97*s + 64. What is the smallest common multiple of (-6)\/(2\/(-6) + 0) and c(-48)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of c**3\/3 + c**2\/2 + 9*c + 19. What is f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 2*q + 12. Let j be t(-6). Suppose j = -0*o + 5*o - 275. Suppose -o - 59 = -3*i. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**2 - 6*v - 3. Let i be p(7). Suppose 0 = i*x - x. Let z be 1\/(-4) - (-685)\/20. Solve -t + x*q = q + 2, -5*q - z = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1018, 2029, 3036, 4039, 5038?\nAnswer: 6033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9.62 minus 0?\nAnswer: 9.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2433*s**2. Let z(q) = -q**2 + 80. Determine z(b(m)).\nAnswer: -5919489*m**4 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 49*p**3 - 1277*p**2 - 143*p + 5748. Determine h(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5075 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33252 - -33251.96. Sort -1\/4, f, 4, 1\/72, -2 in descending order.\nAnswer: 4, 1\/72, f, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 7:38 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/5)*g)**(11\/7)*g**(2\/7)\/g*g\/g**(-3\/5) assuming g is positive.\nAnswer: g**(108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.35 + 0.25. Are o and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*f**2 + 1350*f**3 + 18 + 10 - 1351*f**3 to m*f**3 + b + x*f + a*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 696 + -686. Let u(q) = q**2 - 11*q + 26. Let y be u(o). Solve 42*i + y = 46*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 x when three letters picked without replacement from {t: 1, c: 7, s: 2, x: 9}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2543555*u - 6284950 wrt u.\nAnswer: 2543555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -10.219894 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 2*x + w - 25, 15 = -x + 4*w. Suppose -x*v + 3*v = -8. Suppose -8*r - 2*l = -3*r, 3*r = v*l + 26. Solve -2*z + 1 = -3*z - a, -r*a = 3*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6163 (base 10) to base 9.\nAnswer: -8407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 44204*u + 4 - 44293*u + 1085*u**2 + 5 wrt u?\nAnswer: 2170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, r: 6, k: 8}. Give prob of picking 2 k and 1 h.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 50.8 - 50.80000955. What is o rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 - 8*q**2 - q - 1. Let l(i) = -i - 1. Let h be l(0). Let t(a) = 7*a**3 - 2*a**2 - a. Let x be t(h). Is m(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (4 + -5)) + (3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30450 and 124250?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t + 5. Let g(v) = -45*v - 123. Let o(p) = 11*p + 30. Let a(h) = -2*g(h) - 9*o(h). What is -5*a(j) - 24*y(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of b**2\/2 - 3*b + 6. Let j be h(4). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*g**2 - 349 - 3*g + 3*g**3 + g**3 - 3*g**3 - 2*g**4 + 346 in the form i + k*g + z*g**4 + h*g**3 + r*g**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 AM and 2:27 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**3 + a**2 + a - 1. Let q be v(0). Let d = 2 + q. Is d*(2 + 7 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2*j - 12. Let r be k(-8). Suppose 8*f - 32 = r*f. Suppose -3*c = -12 - 0. Solve -5*d + 0*p + c*p - 11 = 0, f = -d - 5*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(7) + sqrt(700)*-1 + (sqrt(175) + 0 + sqrt(175))**2 - (sqrt(28) + (sqrt(1008) - sqrt(1008)*-1))\/sqrt(4)) + 4).\nAnswer: -66*sqrt(7) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*v + 3*v + 4*v)*(1 + 2*v - 3*v + 3*v) in the form b + x*v + s*v**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + -16 + 24 + (-43 - -42)\/(2\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -84 + 179. Find the common denominator of (x\/(-6))\/(84\/(-36)) and (-265)\/24 + (-3)\/9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -2, -1, -24, -1\/11, 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 81.5 or -22103?\nAnswer: -22103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 + 9*s**2 + 4*s + 3. Let a be q(-8). Suppose 14*d = a + 77. What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 523477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 76993 and 49.\nAnswer: 538951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112924.\nAnswer: 2, 7, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 447720463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17811 = -3*q - 3*l, -l + 10982 - 34755 = -4*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 15. Suppose -5*h + j = -77. What is the smallest common multiple of h and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2960977\/4 + -2258626\/3. Let n = b - -12639. Find the common denominator of 61\/18 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/2297 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3*4\/60*(-15)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*o**5 - 3*o**5 - 4*o**5 - o**5 - 2*o**5 - o**5 + (o**2 - o**2 + o**2)*(-3*o**3 - 4*o**3 + 4*o**3).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 5*v. Let b be t(-1). Let n = -11 - -12. Let o be (2\/(-5))\/(n\/b). Solve -d + o = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3*(2 - 3) - 2. Differentiate 2*q + 3*q + 7 - 2*q + s wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 9*s - 6*s = 4790, -y + 2395 = 3*s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5618.4 - 6256.06. Let g = 633.15996 + r. Let a = -4.5 - g. Round a to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 71317680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the first derivative of 2*a**5\/5 - 3*a**4\/2 - a**2 - 3. Let m(h) = h**3 + h. Let v(f) = -c(f) - 6*m(f). What is the second derivative of v(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m**2 - 1326922*m + 1326920 = 0 for m.\nAnswer: 1, 663460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) -8\/75 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -1 - (3 + (9 - 6) + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 840 and 15360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 0 = 2. Suppose -4*u + u = -5*p - 977, -3*u = -4*p - 784. Let d = p - -183. Sort -2, d, x in increasing order.\nAnswer: d, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51924 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/49, 1\/4, -1\/8, -4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -1 + 4 + 4*y - 1. Suppose 2*x - 4*z = 8, -16 = -25*x + 27*x + 4*z. What is i(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 4*a + 33 + 3 = 0, 0 = -4*a - 12. Let j be (1 - 1) + 43 - 1. What is the greatest common factor of p and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide (176 - (-5)\/5)*(-343)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5109\/10 - -829\/2. Let z = m + 97. Let a be 0\/(-4) + (-2)\/(-2). What is the closest to a in 0.2, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (p - 3*p + p)*(-8108*p + 1756*p - 1221*p) + 2*p - 3*p**2 - 2*p to the form n + y*p + d*p**2 and give d.\nAnswer: 7570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(42) + (sqrt(168) - sqrt(42))*1)\/(-4*sqrt(12)\/sqrt(2)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {s: 4, v: 2, o: 3, u: 2, e: 3, z: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**4 - 557*h**3 - 78381*h**2 - 224647*h + 767290.\nAnswer: -(h - 2)*(h + 5)*(h + 277)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -5*t**3 + t**2 - 14*t - 1. Let k(w) = -w**3 + w**2 + w - 1. Let b(n) = h(n) - 6*k(n). What are the prime factors of b(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/554 and -127\/86424.\nAnswer: 86424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t - 8, 4*h + h + 3*t - 79 = 0. Let y be ((-36)\/18)\/((-4)\/442). What is the greatest common factor of y and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 - 20 - (44 + -69)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 51636724 to the nearest 10000.\nAnswer: 51640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 10 + (-12 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 121\/532 and -71\/943824?\nAnswer: 17932656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 232023.\nAnswer: 1392138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 2*f**2 + 2*f - 4. Let c be z(-4). Let n(p) = 6*p**2 - 6. Let y be n(-4). Calculate the greatest common factor of y and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**4\/7 - 228*o**3\/7 + 8378*o**2\/7 - 107160*o\/7 + 441800\/7 = 0. What is o?\nAnswer: 10, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -1\/6*x**3 + 0 + 0*x**2 + 7*x. Let n be 14\/21 - 26\/(-6). Calculate g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 8 = -2*g, 0 = n + 5*g - 77. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2304 + 2320. Suppose 0 = -7*l + 2*l. Suppose -66 = -3*v - 0*v - 3*f, l = v + 4*f - o. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 94, 97, 100?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2807\/3 + -935. Factor -2\/9*o**2 + 0 - q*o.\nAnswer: -2*o*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 + 23 - (2 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**3 + q - 1. Let g(y) = -7*y**3 - 5*y**2 - 5*y + 7. Give -g(t) - 6*o(t).\nAnswer: t**3 + 5*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5671\/14 - 127097\/315. Is y smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - 2. Let i be 1*(13 + (-48)\/6). What is the third derivative of 4*w**i + 5*w**2 - 4*w + u*w**2 + 4*w wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -5*x + 2. Let b(o) be the first derivative of -11\/2*o**2 + 23 + 4*o. Give 4*b(m) - 9*c(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**4 - 2*i**3 + i**2 - i + 1. Let w(m) = 23*m**4 - 8*m**3 + m**2 - 91*m + 6. Let j(t) = 4*c(t) - w(t). Find the second derivative of j(a) wrt a.\nAnswer: -324*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -115082 + 115086. Suppose 2*x = 1 - 3, -w = -x + 3. What is the closest to -0.1 in 14, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -l**4 + 6236*l**3 - 9696948*l**2 - 77875168*l - 155950144 = 0.\nAnswer: -4, 3122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 2:42 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14 - -18. Let s be 9\/11 + j\/22. What is the highest common factor of 11 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -580.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 7*o + 3 - 2*o - 3. Let s(w) be the first derivative of -w**2 + 22. Determine s(q(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66 is divided by 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 385431.\nAnswer: 3, 128477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the third derivative of v**5\/15 - v**4\/2 - 2*v**3 + v**2. Let p(t) = -7*t - 22*t - 1 + 0 - t + 29*t. What is -i(k) + 12*p(k)?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 1:24 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llglglgglggl. Give prob of picking 1 l and 3 g.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -a - 313196684753101 + 313196684753101.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 123626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13 + 47. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 2 c, and 1 j when four letters picked without replacement from zrcddgdjdzzcdc?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2244636 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 14 - 2)*(67*z - 19*z + 23*z).\nAnswer: -1278*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 315 * 232986.\nAnswer: 73390590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 - 78*o**2 - 152*o - 622. Let k be s(80). Let m = 25 - 20. Solve -m*f = -0*y + 3*y + k, 2*y - 4*f - 10 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-140 - 56 + 41)*(-4*q**3 + 5*q**3 - 3*q**3 + (-2*q**2 + 0*q**2 + q**2)*(-3*q + 7*q - 2*q)).\nAnswer: 620*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -2232*c - 8. Let z(w) = 58*w + 2. Determine -g(f) - 3*z(f).\nAnswer: 2058*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 490913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -500*k - 54560 = 385*k + 346*k - 239*k for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + 15 = -6. What is the units digit of (15 - (4 + -7))*z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (0 - (0 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 16 = 4*q, -i + 0*q - 5 = -3*q. Suppose 88 = 4*m + i. Let g be 1*4*(-3)\/(-4). Calculate the highest common divisor of m and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/(-6) - (-9 + (-6324)\/(-18)). Let z = 369 + a. Do 28 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -171, -676, -1509, -2664, -4135, -5916, -8001, -10384?\nAnswer: -13059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {y: 1, w: 2, c: 4, e: 7, l: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -268331.15 rounded to the nearest 1000?\nAnswer: -268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1212 - -8?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 98 + -10. Let y = p + -32. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 9*y. Let l(v) = -2*v**2 + 423296. Calculate l(f(x)).\nAnswer: -162*x**2 + 423296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (33\/(-836))\/(6\/(-16))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0.1, 4\/13.\nAnswer: -0.1, 0.1, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1982 is divided by 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4491561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -2 + 2 + -2 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4752 or 70?\nAnswer: -4752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -d - 0*k + 18, 0 = 2*d + 3*k - 15. What is the second derivative of 3*p**4 + 4*p + 11*p + p - d*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 151811 and 19739533.\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -9*h - 4*h - h in the form c*h + n and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -33 or -109090\/3269?\nAnswer: -109090\/3269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27048425\/117 - -231163. Let c = q - -188\/9. Factor -8\/13 - c*h**2 - 2\/13*h**3 - 16\/13*h.\nAnswer: -2*(h + 1)*(h + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5559, 5374, 5189, 5004?\nAnswer: 4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1799865035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -14.025 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 11965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h + 52 = -3*h. Let j = h - -10. Let y(t) = -t**3 - 23*t**2 + 208*t + 4789. Let a be y(-23). Solve a*w - j = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 28 = v + 10, -5*v + 4*k + 60 = 0. Put 5, 4, v in decreasing order.\nAnswer: v, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 23 = 3*v - 11, -5*v + g + 61 = 0. Suppose 0 = 3*y - v - 0. Suppose r - 6*r + 5*k = 0, 0 = -y*k + 12. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 366 - 366.1. What is the nearest to 0.1 in 2.1, 11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of 2\/15*c**5 - 3\/10*c**4 + 181 - 1\/45*c**6 + 14\/45*c**3 + 0*c - 2\/15*c**2. Solve l(t) = 0 for t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -4*l**2 + 2*l - 1. Let y(i) = -136*i + 547. Let h be y(4). Let z(m) be the second derivative of m**4\/12 - m**3\/6 - 2*m. Give h*z(g) + x(g).\nAnswer: -g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-173950)\/(-53676)*(-3)\/(-25)\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -147, -373, -677, -1065, -1543, -2117?\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-27)\/(-45))\/(1\/2)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-162)\/(-396) - 3\/(-33)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3056c159 + -2?\nAnswer: 3056c157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/1511 - -1507\/6044. Let c = -1.99 - 0.21. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6 + 3\/(15\/(-28)). Let w = 0.036 + -0.063. Let c = w - 0.073. What is the third smallest value in c, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17.9999985 - 18. Round r to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(56)\/(sqrt(8) - sqrt(40)\/sqrt(45)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + t - 6 = -3*v, -25 = -5*v. Let p(g) = 2*g**3 + 3*g**2 + 3. Let d be p(3). Calculate the common denominator of 2 + t\/(d\/34) and -29\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 221, 481, 757, 1055, 1381, 1741, 2141?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2.4 in 1\/13, -0.2, 2, -0.55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:52 AM and 1:23 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 11 + 71. What is the remainder when 1138 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 8, -1, -498, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of 2741*c**6\/15 - 81*c**4\/2 - c - 2558. Find the third derivative of i(h) wrt h.\nAnswer: 131568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(1\/22)*l*l\/(l*l**4))**(1\/7)\/((l**(-1\/3)\/l)**(-32)\/(l**2\/l)**26) assuming l is positive.\nAnswer: l**(-7829\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (249\/(-166))\/((-15)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrttfcftt. What is prob of picking 1 c, 1 r, and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide (-371)\/265 + (-29991)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1*(-1)\/3)\/((-5)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2)*(4 + 2 - 2)*(-4*u + 2*u - u)*(-u**2 - 23 + 23).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21.96 - 22. Let q = j - 0.16. Let i = q - -0.2. What is the third smallest value in 1\/9, i, -0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7*((-56)\/(-343))\/4)\/((-8)\/(-1036))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121046 is divided by 39572.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -1*((-1*sqrt(245) - sqrt(245)) + sqrt(245)).\nAnswer: 2 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 4*g = 0, 0 = 5*y + 4*g - 5 - 0. Solve -5*d + y = 0, -5*d + 3 = 3*b - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 + 415*q + 838. Let j be l(-2). Solve j*z + 23 = 3*s, 2*z - 29 = -33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + 163 = -173. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rc when two letters picked without replacement from vvqvvcqvvvvvvvcvrcv?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 693 + -2224. Let h = -986 + b. Let n = h + 4480. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21 - -21.4. Let q = 0.7 - j. What is the nearest to -2\/5 in q, 1, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -4511.\nAnswer: 5\/4511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((2*sqrt(175)*-4 - (sqrt(175)*1 - sqrt(175))*4)**2 + 3)*-4.\nAnswer: -44814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 106.091 - 106. Let h = 0.1 - x. What is h rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (78\/4)\/(-4*27\/(-72)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**2. Let s(b) = -12331*b**2 - 212. Calculate s(p(q)).\nAnswer: -12331*q**4 - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + 2*t**2 + 4*t. Let j = 5 - 2. Let g be z(j). Let s(y) = -y + g - 3. Let q(p) = p. What is q(s(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -1\/4, -20.2 in decreasing order.\nAnswer: -1\/4, -1\/3, -20.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -430*k + 441. Calculate u(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of -13*w**5\/4 + 3*w**4\/4 - 47*w. What is the third derivative of f(z) wrt z?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 10*a**3 + 2*a**2 - 1. Let o(k) = k**3 - 9*k**2 + 13*k + 11. Calculate the remainder when p(1) is divided by o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*f**2 - 23021785*f.\nAnswer: -5*f*(f + 4604357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.03 (b) 0.092 (c) 0 (d) 172 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12592058 and 1126.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24285135 + 2*b**3 + 24285135 + 1681*b.\nAnswer: 2*b**3 + 1681*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of d**4 - 361076*d**2 - 12393939 wrt d?\nAnswer: 4*d**3 - 722152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 598422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes after 4:59 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -163 = -12*y + 4709. List the prime factors of y.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3482411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -36, -2, -4.\nAnswer: -36, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 1841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 140489311\/66 + -2128576. Let t = 518\/11 - f. Calculate the common denominator of -23\/14 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/(-4))\/((-2)\/(-24)). What is the remainder when -3 + 2 - -1*27 is divided by (1 - -1)\/(2\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4095 by -1.\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -2*g**2 + 28*g - 67. Let n be t(11). Sort 2, n, -3 in increasing order.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2366.15 - -2366. Which is the fourth biggest value? (a) -1 (b) r (c) 5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -4*y**2 + 1. Let j be f(1). Let i be 2 + (-2 - j)*1. Factor -3*u**3 + 11*u - 4 - 3*u + 2*u**3 + 2*u**i - 5*u**2.\nAnswer: (u - 2)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -3*m + 35. Let w(r) = -57*r. Calculate w(f(v)).\nAnswer: 171*v - 1995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-5) + 3155\/25. Let p = -85 + q. Suppose -6*z + p = -31. Calculate the least common multiple of z and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14624090*t**2*u**2 + 22*t**2*u - 648031*t**2 wrt u.\nAnswer: -29248180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21582 = -103*v + 85*v. What are the prime factors of v?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -30*f - 1. Let z(o) = o**3 - 63*o**2 + 342*o + 3. Let a be z(57). Let i(s) = -29*s. What is a*i(v) - 2*n(v)?\nAnswer: -27*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -65.9, 0.4, -0.0216, 2\/3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 609 times 8\nAnswer: 4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l - 115*l**2 - l**3 - 113*l**2 + 54 + 246*l**2 - 21*l. Let r be i(17). Put 2\/41, r, 0.5 in ascending order.\nAnswer: 2\/41, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 5*2*(sqrt(112) + sqrt(112) + 2 + sqrt(112)))**2.\nAnswer: 5280*sqrt(7) + 101284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(1700) + -1) + 3 + sqrt(1700) + -1 - (5 + 1 + sqrt(1700) + 5))**2*-2.\nAnswer: -54450 - 800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 23 (b) 0.3 (c) -1.1 (d) -2\/9 (e) -1105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 11*w**3 - 3*w**2 + 171*w - 3. Let l(z) = -35*z**3 + 10*z**2 - 512*z + 10. Give 10*i(n) + 3*l(n).\nAnswer: 5*n**3 + 174*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 4*p**5 - 12*p**4 - 24*p**3 + 32*p**2 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19 - 3*r + r + r to the form h + u*r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 1003*b. Let t(k) = 29374*k. Determine t(p(j)).\nAnswer: 29462122*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*g**5 - 7*g**4 + 7*g**4 + (g**2 + 2*g - 2*g)*(7*g**3 - 58 + 58) + (-4 + 0 + 2)*(10*g**5 + 10*g**5 + 3*g**5).\nAnswer: -45*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(704)*1*3.\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 14169, 113286, 382313, 906204, 1769913?\n\"Answer: 14159*f**3 + f**2 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y = -9*y + 4. Suppose 0*h = y*h + 4*d - 68, 2*h = 3*d + 9. Calculate the least common multiple of 11 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*y + 750 = -323*y. What is the biggest value in y, 0, -0.969?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 417437196*a**2 - 2470*a - 14497 wrt a.\nAnswer: 834874392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1619255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(17) + (sqrt(2448)*-2 - sqrt(2448)) + sqrt(17) + -2 + 0.\nAnswer: -34*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 590*z**2 - 2*z - 450*z**2 + 979*z**2 as j*z**2 + h*z + l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 143453202 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14343 + -314?\nAnswer: 14024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + 2973*q + 994176. Give g(-384).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 735861, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/2)\/((-1620)\/(-18630)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -16 - -190728?\nAnswer: 190712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 135 and 146430?\nAnswer: 439290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r - 2767 - 36*r**3 - 20*r**3 - 3*r.\nAnswer: -56*r**3 - 4*r - 2767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 226 - 221. Suppose 0 = 2*j - 2*v - 136, z*j - 2*v - 352 = -3*v. Calculate the greatest common factor of 50 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*n + 18. Let c be ((-12)\/(-9))\/((-2)\/n). Suppose 2 = -3*i - 7. Which is greater: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7\/206 or 1?\nAnswer: -7\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.773929 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 623452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 31*w. Let l be s(-1). Which is greater: -35 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 0*o = -75. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 PM and 5:21 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 752729\/3606 + 54\/601. Let n(b) = b**2 + 12*b - 10. Let t be n(10). Let m = t - o. Calculate the common denominator of 111\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*l*o**2*z**2 - 2*l*o**2*z - 458*l*o*w**2*z**3 - 2*l*o*w*z + 16*l*w**2*z - 31*l - 26*o**2*z**3 wrt z?\nAnswer: -2748*l*o*w**2 - 156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -c**9\/7560 + c**8\/1680 - c**7\/1260 - c**4\/12 + 2*c. Let n(y) be the third derivative of d(y). Factor n(z).\nAnswer: -2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 5*i + 12 - 8 = 0, 0 = w + 3*i + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -643, -1285, -1927, -2569, -3211?\nAnswer: -3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 433666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 7 - 6 - 2*r + 2*r**2 + r - r. Suppose f - 3*f - 2*q + 6 = 0, -2*f + 2*q = -2. What is v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -59 - -173\/3. Let v(s) be the third derivative of -s**6\/120 - s**5\/60 - s**3\/3 + 5*s**2. Let y be v(0). Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of t**6\/10 - 9*t**5\/20 + 3*t**4\/4 - t**3\/2 + 14*t. Find i such that h(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 - (-5 - (-5 - -3)). Solve s + d*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 44025000 to the nearest one hundred thousand.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 54, 53, 52, 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19037\/8 bigger than 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of -p**7\/420 + p**6\/90 - p**5\/60 - 2*p**3\/3 + 2*p. Let m(s) be the second derivative of z(s). Factor m(j).\nAnswer: -2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -41 - -40.9999905. What is i rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.4, -144, 3\/4, 24, 7.01, 0, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -3*p**2 + 25*p - 58. Let d(x) = 3*x**2 - 24*x + 60. Let q(t) = 2*d(t) + 3*g(t). Factor q(h).\nAnswer: -3*(h - 6)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/2*b**2 + 3698 + 86*b.\nAnswer: (b + 86)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4*z**2 - 6*z. Let c(j) = -11*j**2 + 17*j. Let l = -10 + 16. Determine l*c(x) + 17*s(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x + 52. Determine t(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 1 - -7)\/(2\/4) + 31769 + -31793?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 - 4 = 2*c. Suppose -20 = -2*a - 3*a. Solve -c*y = -3*t - 23, -y + 0*y - a*t = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u - 1146*u**2 - 18629*u**2 + 3*u.\nAnswer: -19775*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 4, -7 in ascending order.\nAnswer: -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -669256*n. Let h(p) = -45*p**2 + 3. Calculate c(h(z)).\nAnswer: 30116520*z**2 - 2007768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -30*b - 1940. Give k(-64).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2927925120 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 432609?\nAnswer: 3, 144203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -64*i - 140. Let f be t(-15). Let w = f + -820. Solve -p - 3 - 2 = w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 28 = 4*w, 2*w = n + n - 22. Suppose -830 = -43*u - 228. What is the lowest common multiple of n and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 0.271, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 5:47 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 - 3*y - 4. Suppose 0 = 2*z - 8. Let s be d(z). Suppose 0 = 4*n + 4*v - 200, 2*n - 5*v + s*v = 107. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -33*g**3 + 2*g**2 - 3*g + 1. Let u be a(1). Let y(x) = -33*x**3 + 11*x**2 - 20*x + 8. Let i be y(1). Are i and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10655 and 35315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 475 = -2*l + d, -3*d - 15 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 4*q**3 - q**2 + 5*q + 2. Suppose 13*r + 40 = 9*r. Let m(u) = -u**3 - 1. Let z(b) = r*m(b) - 2*d(b). Factor z(i).\nAnswer: 2*(i - 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 25808\/5 + -5162. Sort 3\/7, -2, 2, j in ascending order.\nAnswer: -2, j, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30927 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, 5, 0, 3 in ascending order.\nAnswer: -2, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - ((-1 - 7) + (18 - 11) - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, 14277, -2, 3 in increasing order.\nAnswer: -3, -2, 0, 3, 14277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.023204 to four dps.\nAnswer: -0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4871443 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a day in seconds?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -5600342 from -8352.\nAnswer: 5591990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36 and 538?\nAnswer: 9684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 200430 and 1870.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2074280?\nAnswer: 2, 5, 13, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-228)\/42 + 76\/(-133)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -13 - (10 + (-18 - -5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 + 5*p**2 - p - 1. Let c be y(-5). Let m be -2 + 1 + c\/5. Let t = -0.887 + -0.113. What is the nearest to t in m, 5\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 663636033.\nAnswer: 3, 37, 991, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 2*g + g - 7*g + (-3*g - 2 + 2)*(-4 + 0 + 2) + 9*g + 37*g - 23*g + (0 - 4 + 6)*(-g - g + 0*g) in the form p*g + d and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of -a**2\/2 + 1. Suppose 4*d - 56 = -8. Let r(j) = 7*j - d*j + 7*j. Calculate w(r(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*q**2 + 23*q**2 - 5*q**2 + (-q + q - 2*q)*(2*q - q + 0*q) + 1897 + 101*q**2 - 1897.\nAnswer: 124*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 8*f**3 - f**2 - 12*f - 42. Give a(-3).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((((-16)\/(-2))\/4)\/(-1))\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -3 + (-2 + sqrt(76) + ((sqrt(228) - (-1*sqrt(228) + sqrt(228)))\/sqrt(12))**2)*-3.\nAnswer: -50 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 26. Let k = d - 1. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -6*p + 11. Let q(f) = 0*f - 3*f - 1 + 6. Let r(u) = 6*i(u) - 13*q(u). Calculate r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - 9de?\nAnswer: -9e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 4*k**2 + 6. Let u(t) = 5*t**2 + 7. Let o(s) = -3*a(s) + 2*u(s). What is the derivative of o(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**2 - 3*g - 1. Let q be y(6). Calculate the highest common divisor of q and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6031579 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2299)*-3 + (1*sqrt(684) + sqrt(684) - sqrt(19)))*-3*1 + 1.\nAnswer: 1 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3319\/154 - -471\/22. Which is the third smallest value? (a) 1 (b) 3059 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -6 and 96?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 + 2542*u - 491860. What is m(211)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 97380 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes after 4:47 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 4, 632, 1 in ascending order.\nAnswer: -0.3, 1, 4, 632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be 228\/(-8)*10\/(-3). Suppose -5*t = -0*t - f. Solve -t + 4 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 524 - 523.9. Are x and 2\/441 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 10 = 12*l - 14*l, 5*b = 2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 8 + -2 - (1 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 750958 = -6764*t + 115142 for t.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2956?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -11. Let m(u) = u**2 - 8. Let f be m(y). Let k = f - -39. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 386933931 divided by -2\nAnswer: -386933931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.203 + -4.203. What is the second smallest value in -10, 2, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35095114 to the nearest integer?\nAnswer: 5924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of -k**6\/120 + 7*k**5\/60 + 3*k**4\/8 + k**3\/6 - 4*k**2. Let y be l(8). Calculate the highest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, -3, -19 in decreasing order.\nAnswer: 17, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-8) + 15\/(-4). Let w = -0.2 - -2.4. Let u = -1.2 + w. Does p = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -84801 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -1. Suppose y + 0 = m. Suppose -m*p = -3 - 0. Is p less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 150 and 6498800?\nAnswer: 19496400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 585080?\nAnswer: 2, 5, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00347923 to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11825, 23639, 35453, 47267, 59081?\nAnswer: 70895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, y: 1, k: 3, s: 2, n: 1}. Give prob of picking 1 s, 1 y, and 2 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1053 (base 7) in base 2?\nAnswer: -101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 48? (a) 1\/3 (b) 7 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5480650 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 942 - 625. Let h = 340 - g. Solve -4*r - 2*a - 10 = 0, -5*r + a = -0*a + h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1021178481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 2*p - 4*p)*(-77*p**3 - 10*p**3 - 8*p**3).\nAnswer: 190*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -83 = -3*b - 50*y + 45*y, 0 = 29*y - 116 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -3*o**3 + 32*o**2 - 32*o + 45. Let l(n) = -19 - 3 + 4*n**3 + 6*n + 42*n + 1 - 48*n**2 - 46. Let v(g) = -5*l(g) - 7*w(g). What is v(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3855221 != -3855222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 2*h**3 + 1677*h**4 - 138*h - 1676*h**4 - 51*h in the form z*h**3 + w + a*h**2 + u*h + s*h**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18964365 and 1635?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**3 - 13*r**2 + 39*r - 13. Let c be p(-17). Suppose -11*d + 16*d = c. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Put -4, 2481, -13, -5 in descending order.\nAnswer: 2481, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -12*f**5 - 28*f**4 + 312*f**3 + 768*f**2 - 640*f = 0.\nAnswer: -4, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1461556 (base 7) in base 16?\nAnswer: -30ce8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.09971 + -6.90029. What is the smallest value in -1\/3, -5, -0.1, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4469 divided by -8?\nAnswer: -4469\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 - 6*z**2 + 2*z - 4. Let l be a(-6). Let q = l - -18. Suppose 0 = k - q*k - 4*p + 50, k + 3*p = 54. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5751 - 8359 = -326*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23750.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1715429*x - 857712*x - 857706*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = -3*h, w = 4*h + 5*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-815*s - 116*s + 485*s)*(-1 + 1 - 5).\nAnswer: 2230*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-21))\/3*-1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(5) - (sqrt(35)\/(sqrt(7)*-1))**2).\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56044*o**3 + 628*o - 628*o + 8340*o**3.\nAnswer: 64384*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 + 17*v**2 - 55*v - 53. Let f be h(12). Suppose 0 = -3*r + f*r - 7136. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -52, -99, -148, -199, -252?\n\"Answer: -a**2 - 44*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 5*c - 330, 4*c + 55 = -2*m - 85. Let x = 99 + m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1538 + 1533. Let q(c) = -6*c + 6. What is q(x)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20814 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55851 + 55851 + 10*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the first derivative of -2*o**5\/25 - o**4\/10 - 30. Determine i so that m(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/25 of a microgram in nanograms?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 10592 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -28*s**2 + 2*s - 2. Let b be 3\/(-2) - (-7)\/2. Let z be i(b). Is z\/(4*2\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1352970 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of l**4\/4 + 4*l - 3. Let a be p(0). Suppose 0 = 4*q - a*n - 35 + 7, 0 = -4*q + 3*n + 23. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from blkhu. What is prob of sequence ub?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 263*p - 482*p + 306*p = 929 + 289 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 1388222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve i + 8 = 2*y + 11, -3*i - 3*y = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10110022000202 - -12?\nAnswer: -10110022000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -1 - (-9 - -12)) + -10 + (7 - -35).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/(-18) - 156\/27)*-1. Let m = 5 - -2. Let q be (2\/d)\/(m\/21). Solve 0 = -y + 3 + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - -1 - (8 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 7619388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is ((-4)\/6)\/((-12)\/1386) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/48 and -59\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -607\/52 or -12?\nAnswer: -607\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14619256 to the nearest integer?\nAnswer: 3824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24583043?\nAnswer: 53, 463831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, g: 12, s: 3}. What is prob of sequence bbgg?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -59 divided by -59\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2304895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*o + 52*o + 35*o - 384 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 - -3. Let x = -0.09 - 4.91. Let n = x - b. What is the nearest to n in -2\/7, 0.3, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - k + 39566 - 318739 = 0, 0 = 3*w + 4*k - 209413. List the prime factors of w.\nAnswer: 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 458.65406 times 0.04\nAnswer: 18.3461624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -8.984 times -0.5?\nAnswer: 4.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.1 - 0.3. Let k be 16\/(-4) - (56\/(-15) - (-9)\/27). What is the biggest value in k, -5, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 + 107*u**2 - 1594*u - 712. What is b(89)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 269353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -874*q**2. Let y(o) = -5*o + 276. Let b(p) = -26*p + 1518. Let r(w) = -2*b(w) + 11*y(w). What is c(r(l))?\nAnswer: -7866*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 3*n + 63, -4*n - n = h - 23. Let g = h + -27. Let t = -19 + g. What is the closest to 0.1 in -3, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 1\/9*v**4 + 14\/9*v**2 + 0 - 8\/9*v - 7\/9*v**3 = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11048 - 2664 = -262*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 1 - 2*n**3 + n**3 + 0*n**3. Let f be v(-2). Does 11 divide 178\/f + (-2)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -4*v**2 - 10*v + 63. Let p(f) = -f - 1. Determine h(s) - 10*p(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -9, 4, -8, 5, 0.\nAnswer: -9, -8, -5, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 461 divide 4055417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 + 72*s**2 - 65*s - 58255. Give z(-50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 - 2*a**2 + 3*a + 4. Let d be j(-3). Suppose -d*t - 5*c = 12, 4*t + 4*c + 6 = -6. Let r = t + 7. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5*(-2)\/((80\/(-4))\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2102212012 (base 3) in base 5?\nAnswer: -3014021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -38 + (-5 - -7 - 6) - (107 - 89).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.0665 (b) 107 (c) -0.2 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 8 + (7 - 2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 + 1 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11*1*(46 + -40) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03 * -0.1091\nAnswer: -0.003273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 3 - 3)*(-5 + 3 - 14)*(-4*m - 23*m + 11*m) to f*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -75082 or -75052?\nAnswer: -75082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1111021010011021 + -12?\nAnswer: 1111021010011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, b: 2, e: 1}. Give prob of sequence ebw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1 + -0.3. Let x be (-9)\/(-54)*2\/1. Which is the nearest to x? (a) i (b) -3\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -11*z - 26. Let l be g(-12). Suppose 0 = -3*f + 2*j + 27 + 56, -l = -4*f + 5*j. Suppose -b = 2*s - f, s + 4*b = -4*s + 71. Which is smaller: s or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 - -5 - (2 + -2)) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 - 1 + 2*k**2)*(-287*k - 2*k**3 + 6*k**3 + 274*k).\nAnswer: 8*k**5 - 42*k**3 + 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 7*s**2 - 11*s + 5. Let a(n) = -19*n**2 + 6*n - 3. Let p(g) = 5*g**2. Let h(k) = a(k) + 3*p(k). Give -11*h(c) - 6*o(c).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t + 4. Let w be (15\/25)\/(1\/5). Let l(y) = y + 3. Let x(d) = w*p(d) - 4*l(d). Let b(c) = 3*c**2. What is x(b(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be 29 + 1\/1*-2. Let l be (-4)\/(-18) - (-669)\/y. Suppose -d + l = -0. Solve 3*k = -0*k - 2*m - 10, -5*m = 2*k + d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(95) - sqrt(95)*1*1 - sqrt(95)) + sqrt(95))*2)\/(-3*2*sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-5 + 5) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z**3 + 1. Let p(h) = 2*h + 10. Let x be p(-4). Suppose 4*f - 2 - x = 0. Let u be a(f). Solve -2*w - u = -2*c - 15, -c = -2*w + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(136)\/(sqrt(8)*1) - (sqrt(17) - 3*sqrt(425)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and 0.0481.\nAnswer: 0.1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 PM and 9:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-50)\/20 - 2)*8\/6. Is 4822\/z*(-6)\/(-4)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the first derivative of -3*y**3 + 2*y - 100. Calculate c(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 - 262*h + 138*h + 127*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 0.2, -0.2, 484?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 472, -1615, -5098, -9983, -16276, -23983, -33110, -43663?\n\"Answer: -m**3 - 692*m**2 - 4*m + 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -27*d**2 + 473859*d + 53663206?\nAnswer: -54*d + 473859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and -1.23273.\nAnswer: -4.93092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(143) - sqrt(143)*1)*1)\/((sqrt(110) + sqrt(110) + sqrt(110) + 2*sqrt(110) + sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*b**3 + 7*b**3 - 8*b**3 - 3*b**2 + 3*b**4 - b**4 - 1 to the form j + y*b**4 + d*b**2 + r*b + g*b**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve i + 2384 = 2377 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 568142592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -450037*u**3*x - 1668*u**3 - u**2*x + 9*u**2 - 4 with respect to x.\nAnswer: -450037*u**3 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 - 2 = 3*b. Let y = -5 + b. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-689)\/212*(-12)\/(-1092).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q - 2*u + 2, -4*u + 45 = -5*q + u. Let s be -9 + 1 - (q + 2). Let b be (-92)\/(-28) - s\/(-21). Solve 4*x - 2 = -5*i, 2*x = -5*i + 9 - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 250 = -2*s + 2*d, -203 = -4*s + d. Let p be (-5 + s)*(0 - -1). Suppose -2*z + 5*l + 99 = 42, -11*z = -l - 499. Is z at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 3794554.\nAnswer: 5\/3794554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6760 + 18809. Does 57 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1216) + 5*(-1 + sqrt(1216)) + -5)**2.\nAnswer: -960*sqrt(19) + 43876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (2\/4 - (-200)\/(-720))*9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the second derivative of -11*b**7\/21 - 2*b**4 + 25*b. What is the third derivative of k(v) wrt v?\nAnswer: -1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + -3 - -4)*4. Suppose 4*h - 2 = -j, -j + 3*j = h + k. Is ((-174)\/12)\/(j*(-3)\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of -1\/6*u**2 + 0 - 2*u - 1\/36*u**3 + 1\/72*u**4. Factor f(o).\nAnswer: (o - 2)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 - 6*v**2 + 2*v + 2. Determine t(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 106838, 213696, 320556, 427418, 534282?\n\"Answer: w**2 + 106855*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3132 - 3012?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor o**4\/3 - 4*o**3\/3 - 5*o**2 + 6*o.\nAnswer: o*(o - 6)*(o - 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*(-4)\/(-8))\/((8\/(-2))\/(396\/(-27))).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*c + 41*c - c**2 + 53 - 21*c + (4*c**2 + 2*c**2 - 4*c**2)*(1 - 5 + 2) to the form p*c + q + u*c**2 and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 14934 divided by 6\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, e: 9, b: 2}. Give prob of picking 2 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*l + 25*l - 105 = -l. Factor 1\/6*v**5 - 1\/6*v + 1\/3*v**4 - 1\/3*v**2 + 0 + 0*v**l.\nAnswer: v*(v - 1)*(v + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - m - 4 = 0, 3*a - 617 = -3*m - 665. Let z(t) = 6*t**3 + 3*t**2 + t - 4. Let y(h) = 5*h**3 + 3*h**2 + h - 4. Let c(n) = -5*y(n) + 4*z(n). Give c(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 99312 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*h**2*u**2 - 3285*h**2*u + 95*h*u**3 wrt u.\nAnswer: -14*h**2 + 570*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {v: 1, b: 2, c: 1, y: 1, u: 5}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 5*y = 4, 2*y + 15 - 12 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1452785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 3) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -5*b**2 + 3*b**2 + 4*b**2 - 3*b + 3 + b**3. Let x be j(-3). Suppose -5*f + 33 = t + 3*t, x*t - 16 = -2*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2543368 and 131378592?\nAnswer: 128835224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/8)\/((-3)\/6). Which is the nearest to j? (a) 0.5 (b) -2 (c) 9 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -841*z**5 + 37178*z**4 - 414709*z**3 + 84612*z**2 - 4356*z.\nAnswer: -z*(z - 22)**2*(29*z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**3 + 2*m**2 - 4*m + 2. Let u be l(2). Let s(k) = -k. Let b be s(-8). Suppose b*t = 77 + 83. Calculate the greatest common factor of t and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 68 = -12. Let v be 4\/z - (-174)\/5. Suppose 2*n + v = 7*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 166.5 - -2.5. Let o = -118.80951 - -287.81024. Let j = k - o. What is j rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -330.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/((2340\/182)\/(-30)). Solve -38*a = -52*a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26, 80, 174, 308, 482?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = d + 21. Let a = 113 - d. Calculate the remainder when -3 - (4 - 7) - -23 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 9*z**2 - 298*z + 4. Let q(n) = -5*n**2 - 1. What is f(s) + 2*q(s)?\nAnswer: -s**2 - 298*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -769407 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 121012 + -214?\nAnswer: 120465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ytty when four letters picked without replacement from ttyyyctditt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, m: 1, u: 10, o: 3}. What is prob of sequence wo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 49300, 49238, 49176?\nAnswer: 49114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {o: 4, i: 5, d: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3537)\/(-2)*198\/99?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*t**3 - 8*t**3 + 13*t**3)*((-6 + 2 + 3)*(-1 - 3 + 2) + 4 + 0 + 17).\nAnswer: 368*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mar when three letters picked without replacement from mmmerammm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.16 + 0.36. Suppose -4*y = -3*h - 15, -4*h - 4*y = -y - 5. Sort o, h, -2, 0.3.\nAnswer: -2, h, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*x**4 + 208*x**3 - 468*x**2 - 1248*x - 560 = 0.\nAnswer: -1, -2\/3, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -137, -3, -3\/4, -1\/2.\nAnswer: -137, -3, -3\/4, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oga when three letters picked without replacement from {a: 3, o: 3, g: 2, i: 3, u: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3\/6 + 4835*f**2\/3 - 6235075*f\/2 + 1708473750.\nAnswer: -(f - 7300)*(f - 1185)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 2742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 242423 is divided by 48472.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 38609, 77225, 115845, 154469, 193097, 231729, 270365?\n\"Answer: 2*m**2 + 38610*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1603 is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2 + 44*k - 41. Let b be (-12)\/21 + 5940\/154. What are the prime factors of u(b)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1d - 22c683?\nAnswer: -22c665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zkokkzkz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is aa9416 (base 14) in base 7?\nAnswer: 100124226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -436, 902, 3140, 6284, 10340?\n\"Answer: t**3 + 444*t**2 - t - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the third derivative of -a**6\/60 + 2*a**5\/15 - 265*a**3\/6 + 66*a**2. What is the first derivative of c(h) wrt h?\nAnswer: -6*h**2 + 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 2 n when four letters picked without replacement from nvnnnnvnnnnnn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (624\/(-48))\/(-6 - -6 - (-1)\/(-94)). Calculate the highest common factor of 104 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3.7 less than or equal to 2\/48163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 240 is divided by (11\/(-3))\/(76\/(-228))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - 9*2\/(-3). Suppose 4*c - j*o + 2 = c, 0 = -3*c + o + 4. Let g be c\/(-10) + (-90)\/(-75). Is g at most -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 403884*k*r**5 + 16*k*r + 5*r**2 - 70*r wrt r.\nAnswer: 24233040*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -4*g**5 - 132*g**4 - 828*g**3 - 700*g**2 = 0.\nAnswer: -25, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/14 + 2216\/(-84). Let u = f + 27. Factor 0 - 1\/3*l - u*l**3 - 2\/3*l**2.\nAnswer: -l*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -36*v + 284. Calculate j(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 22 = -5*g, 0 = -107*k + 109*k - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 87*z + 112*z - 301*z - 72 wrt z?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 6*z**3 - 2*z**2 + 1. Let k be j(1). Solve -u = -5*n + u + 26, 0 = -k*n + u + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.07 + -0.37. Let s = 0.2999985 + r. What is s rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/(((-9)\/(-7))\/(-9)). Suppose 4*c - h = -9. Solve -m - k + 2 = 0, 2*k - c = k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04749702 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1134 - b?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 127400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 8928?\nAnswer: 44640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2599430 is divided by 14939.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h - 10*h - 3*h)*(-2 + 5 + 3)*(2 + 0*h - 1 - 4*h).\nAnswer: 336*h**2 - 84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**3 + 17*x**2 - 534*x - 9297. Determine b(-20).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -13.6 (b) -6 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4*(48\/8 + -8). Let i(w) = 2*w**2 - 14*w + 3. Determine i(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(192)*-1 - (-1 + sqrt(192))*-5)**2 + 2 + sqrt(192) + sqrt(192) + (sqrt(192) - 5*sqrt(192)) + 3.\nAnswer: -592*sqrt(3) + 3158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 0 + 17*o**3 - 5*o**2 - 4 - 18*o**3 - 8*o - 4. Let a be z(-4). Let p = 227 + a. What are the prime factors of p?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - -8 - -8) + -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, q: 1, t: 7, g: 1}. What is prob of picking 1 m and 1 q?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2890 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -13 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 130120794.\nAnswer: 2, 3, 7228933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5.42 + 5.72. Which is the nearest to 0.1? (a) -1\/2 (b) 2\/11 (c) k (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111010011100010001100101 + -1100?\nAnswer: 111010011100010001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 24 - 6 - 8 - 175002*b**2.\nAnswer: -175002*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 5*a. Suppose -5*c + 83 = -2*l, -5*c + 0*c + 5*l + 80 = a. What is the greatest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4142 + -4123. What is the nearest to -5\/7 in -0.2, -3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bxqxxqxxxxxbxxxxqx. What is prob of sequence xxxb?\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120\/(-36)*6\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b + 0*b + 4*b - 4*b. Let x be s(-2). Let g = -537 - -540. Solve -g*f + 4*t = 13, x*f - 2*t - 14 = -5*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a factor of 278170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -2*s + 20. Suppose -s*m + 6*m = 4. Suppose 3*x = m*x - 10. Solve x = -3*b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 78243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2766530 (base 11) to base 8\nAnswer: -22136345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -5*1\/(-2)*11444\/(-2861)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 123 - 51 = 6*z. Calculate the smallest common multiple of z and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -89 + 105. Suppose 7*m + l = 3*m, -r - 5*m = 20. Solve r*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, a: 1, w: 1}. What is prob of sequence as?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -15808, -15810, -15812, -15814, -15816?\n\"Answer: -2*t - 15806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 310\/3 + -104. What is the nearest to 4 in 0.1, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + (1 - -2) + (19 - 20) + 13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -27 (b) -4 (c) -69 (d) 1626\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 13\/(-2))\/((-6)\/16). Let o be (0 + 1)*0 + -1. Let a be 19\/g - o\/(-5). Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/((-44)\/(-14) + -3*1). Let i = y - -46. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 + 2*t**2 - 2*t + 72712*t**4 + t**3 + 8*t**3 - 72714*t**4 to the form j*t**4 + w*t**3 + b + p*t**2 + z*t and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2144*t + 5944*t + 2545*t.\nAnswer: 10633*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:37 PM and 7:33 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o**2 - 22*o + 5. Let a(i) = i**3 - 14*i**2 + i - 9. Let z be a(14). Let p be -4 - (1 - 80\/z). What are the prime factors of n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**3\/6 - 4204*a**2\/3 + 176941*a\/6 - 286586\/3.\nAnswer: -(a - 17)*(a - 4)*(a + 8429)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00471 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2 + 132980*b - 265968.\nAnswer: 2*(b - 2)*(b + 66492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1980)\/528*4\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/sqrt(160))\/sqrt(4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -n**2 + 1642133*n + 6568548 = 0 for n.\nAnswer: -4, 1642137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 1867 + 18*k - 1867 as q + b*k and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 55*h - 165 - 165. Suppose i - 7 + 13 = 5*k, 0 = -3*k + h. Is i less than 33\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-8 - -11) + 1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 52895 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:35 PM and 4:42 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify o\/o**(-2\/15)*(o\/(o**(-2)\/o))\/o*o*o\/(o**(-1\/4)*o)*o**(-6\/7)\/o assuming o is positive.\nAnswer: o**(1481\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -17 in -5, 0.03, 0.18, 141?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 1\/7, 28, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1214 + 1086*c**2 - 453*c**2 - 369*c**2 wrt c?\nAnswer: 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s + 3. Let j be v(0). Suppose m - j*n = 3, 5*m - 78 + 9 = -3*n. Calculate the greatest common factor of 84 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 68 - 67.99999796. What is l rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7524896 and 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*y = -y - 514240. Let h = -93860 + y. What is h rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**2\/4 - 5585*o\/4 + 5587\/2.\nAnswer: -(o - 2)*(o + 5587)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -5*p**2 + 81*p - 47. Give u(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((32\/640)\/((-45)\/12))\/((-70)\/(-630))\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.4626922 to 2 dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 6*p - 6. Let x be t(2). Suppose z + 50 = x*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 72 - 71. Solve 3*p = 3*d + l + 5, 2*p = 3*d + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1289473742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 12 = -4*b, 5*b - 3*y + 1 = -6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 49, -1, 443 in descending order.\nAnswer: 443, 49, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/152 and -187\/15330.\nAnswer: 1165080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -798*r + 778*r + 320. Calculate the highest common divisor of r and 4912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 679516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -216.7 + -36.3. Let b = q + 217.8. What is b rounded to 0 decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h - 2. Let p(b) = 3*b**2 - b - 1. Let m be p(2). Let v = 4 - m. Let c be y(v). Solve 2*w = c*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 166*p**3*y**3 + 3*p**3*y + 18*p*y + 8*y**5 + 2 wrt y.\nAnswer: 996*p**3*y + 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 23689, 95965, 216439, 385123, 602029, 867169?\n\"Answer: 2*x**3 + 24087*x**2 + x - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 - 5*b + 3. Let t be k(4). Does 6 divide (-3)\/6*(t - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 5*a + 3. Let b be p(-2). Let x be (-3 - (b - -2)) + 2. Solve -o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 351332677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 14 - 129*o**2 - 222*o**2 - 75*o**2.\nAnswer: -426*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k + 3. Let o(g) = 4*g - 9. Let y(t) = -t**3 - 8*t**2 - 2*t + 63. Let x be y(-5). Calculate x*o(d) - 7*b(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 585*z**6 - 3*z**5 - 3*z**4 + 10*z**2 - 414?\nAnswer: 70200*z**3 - 180*z**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -13061230 divided by 5\nAnswer: -2612246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -32 + 85. Let w = c - 47. Suppose -4*o + 5*f = -o - 25, -2 = f. Are o and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3*1 - (92466\/(-616) - -153))\/(2\/49)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from {e: 6, s: 3, t: 2, h: 1, i: 1, l: 2}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 111*s*z + 218*s wrt z.\nAnswer: 111*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4127824123 to the power of 1\/2, to the nearest integer?\nAnswer: 64248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-1)\/7 + -14533*(9 + (-213)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 4*q + 204, -2*b - 2*q + 5*q - 375 = 0. Let i = -181 - b. Solve 16*v + 5 = i*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-182)\/(-1820) + 2\/(-5).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 9 = -10. Which is smaller: 3\/202 or g?\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 382 + 28*f - 104 - 104 - 99 - 75.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does -15195055 = -15195051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h + 1. Let g(u) = -2*u**2 + 8*u + 43. Let l be g(7). Let t(b) = 9*b - 18. What is l*t(w) + 12*j(w)?\nAnswer: -3*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -4*x + 82. Let j be d(-18). Suppose 0*z = 14*z + j. Let a(n) = n + 2. Let u(l) = 6*l + 10. Determine z*a(g) + 2*u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -3*u - 3*a + 274, -u + 86 = -a. Suppose 0 = -5*j + u - 63. Is (15\/3)\/j - -171 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times -1883\nAnswer: 188.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 149 or 0.3?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -704 = -279*c + 121*c + 114*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5654128655.\nAnswer: 5, 7, 161546533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 7*d**2 + 2*d - 9*d - 2*d + 4. Is x(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101010011011 + -100?\nAnswer: -101010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2065 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*c**3*n*t**2 + 2*c**3*n*t + 3*c**2*n*t - 13*c**2 - c*n*t**2 + 2809*c*t**2 - 3*t wrt t.\nAnswer: -12*c**3*n - 2*c*n + 5618*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/4 + (-3)\/12. Suppose 1586 = 58*m - 45*m. Is m + -1 + d + -1 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 16*j**2*y + 2*j**2 + j*y - 2*j + 30400*y wrt j?\nAnswer: 32*j*y + 4*j + y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -183 or -2382\/13?\nAnswer: -2382\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/18 and -49\/6138.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 - 2. Let o = 158 - 69. Let h = o - 85. Solve h*s - 3*s - m = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 2*f - 5*m, m + m = -2*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 165001449 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*i - 16*i = 5*p - 4498004, -3*p - 4*i + 2698808 = 0. Round p to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-87)\/(-66) + 2 + -4 and (-2)\/2 - (-15)\/24?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/(-2) + -1)\/((-4)\/(-24)). Is 2\/m - (-38841)\/99 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 55 = -p + 49, 4*l = 5*p + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l**2 + 4*l + 5. Let k be c(-5). Suppose q - 40 = 5*b, -4*q - 3 - k = 2*b. Let z be 2\/b + 152\/36. Is 4 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 11*a = -48. Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7533 a factor of 795959379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8275529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49546 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10 + -5. Suppose 7*a - 6 = w*a. Let r(i) = 5*i**a - 6 - 4*i**3 + 6*i**2 - i**2. What is r(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(2\/17)\/((y**(-5)\/y)\/y*y)*(y**(-1\/6)*y)**(2\/23) assuming y is positive.\nAnswer: y**(7261\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6*a**2*d**2 - 309689*a**2 - d**4 + 26685*d wrt d.\nAnswer: 12*a**2*d - 4*d**3 + 26685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -61614 = 23*r - 61200 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/2244935 and -58\/125881.\nAnswer: 823891145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1158 and 208633?\nAnswer: 1251798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-33)*-5*(-368766)\/204870?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**2*((d*d**6)\/d)\/d)\/(d\/(d**(-1\/3)\/d)*d*d\/((d\/(d**(-1)*d))\/d*d*d)*d))\/((d**(7\/3)*d)\/d**(2\/3)*(d*d**(-4\/7)\/d)\/(d*d**(-4\/5)*d)) assuming d is positive.\nAnswer: d**(97\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {u: 3, y: 2, t: 10}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**(-4\/5)*w*w*w*w*w**(-2\/11))\/(w**0)**48)\/((w\/(w\/((w**0*w)\/w)))**(3\/10)\/((w*(w\/((w*w**(-1)\/w)\/w)*w)\/w)\/w**(-2))) assuming w is positive.\nAnswer: w**(551\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 18*t**2 + 47*t**2 - 56*t**2 - 2 - 3.\nAnswer: -27*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 25 divided by -154865\nAnswer: -5\/30973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-26)\/((-117)\/(-9)) + (-28)\/(-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = 2*u - 3*x - 12, 0 = -5*x + 5. Let c(o) = o**3 - 3*o**2 + 2*o - 9. Let j be c(4). What is the highest common divisor of j and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16133*c + 25781*c - 4193272 = 7883*c + 434944 for c.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 6 = -0*t. Let b(i) = -5*i - 4. Let g be b(t). Let y(n) = -n**3 + 12*n**2 + 10*n + 2. Is y(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 13 = -3*s, 4 = 2*s - s. Let x be 835\/((c\/4)\/5). Suppose 37*f + x = 36*f. Round f to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -10*b**4 + 7*b**3 + b. Let o(u) = -7*u**4 + 5*u**3 + u. Let k = -4 - 3. Let w(r) = k*o(r) + 5*a(r). What is the second derivative of w(i) wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**3 - 3*k + 3*k)*(1 + 0 - 6) + 2 - 35*k + 26*k + k**3 - 30*k.\nAnswer: 6*k**3 - 39*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -66 = -5*q - 71 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 354.952 + -357. Let k = -0.048 - c. What is the biggest value in -2\/15, 0.2, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -34331*n**3 + 12*n + 316508.\nAnswer: -102993*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 7 = -2*t, t - 4*a + 6*a = -6. Let m = 27 + -31. Let g be 9 + m + 1 + -1. Solve 4*r + 12 = -3*d, -t*d - g*r - 10 = 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -146139 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z**2 - 26 + 26 + 4*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.236*-1.99\nAnswer: -0.46964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1131 - 1178.9. Let k = w + 47.900001235. Round k to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 4*v**2 + 8*v + 5. Let y(m) = -1575585 + 9*m + 0*m**2 + 3*m**2 + 1575591. Give -7*i(c) + 6*y(c).\nAnswer: -10*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1313 + -1307. Let p = -0.38 - -0.13. Let h = p - 0.05. What is the nearest to -2\/3 in j, h, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(102) + -4*(-2*sqrt(102) - sqrt(102)) + sqrt(102))\/(-2*(sqrt(6) + sqrt(54) + sqrt(6))) + -5*(sqrt(4114)*-2)\/sqrt(2)*3.\nAnswer: 1643*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + 4. Factor v*h**2 + 4*h + 3*h**3 - 9*h**3 - 14*h**2.\nAnswer: -2*h*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 28 = t, -t - 2*t = v. Suppose 7*z - v*z = 0. Which is smaller: 2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(0 + (sqrt(700) - sqrt(700)*-1*4)*4)*-4*-1)**2.\nAnswer: 4480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9612160 plus 187222?\nAnswer: 9799382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (16\/(-6) + 0)*-7*(-87)\/(-812). Solve -2*v - 12*n = -14*n - 4, n = -f*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -53 (c) 2 (d) 0.07 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 61\/2 or -1\/138?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4127859 is divided by 29912.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - -5 - (-19 + (6 - -17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1 + (1*sqrt(1377) + 2 - sqrt(1377)) - (5 + sqrt(17) + sqrt(51)\/sqrt(3) + 5 + 1)) + -2)*-6)**2.\nAnswer: 1728*sqrt(17) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -15346.91 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.01 + -0.49. Put 3, -3, v, 1 in descending order.\nAnswer: 3, 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223131123 (base 4) in base 6?\nAnswer: 3452043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3718 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 44.045 - 44. What is z rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k = -4*q - 60, 3*k = -52*q + 50*q - 15 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q - 2*q + q)*(-174 + 48 - 563 - 279).\nAnswer: 1936*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(3\/7))\/(g*g**12))**(-8\/9) assuming g is positive.\nAnswer: g**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3128.6 + 2872. Let v = u - -257. What is the fourth biggest value in v, -3, 1.34, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooffffcfoffffcof. Give prob of sequence fof.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 262 - 5?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = -3*t + 14*a, 5*t + 280*a + 5 = 285*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (22 - 21)\/(2\/548). Suppose -x - 322 = -2*i. List the prime factors of i.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 51 + -1017\/20. Which is the second biggest value? (a) x (b) 1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 3*j - 9 = 0, -4*j - 13 + 1 = -3*w. Suppose 0 = -3*i - w*i + 777. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*p + 5143*b = 5147*b + 50, 0 = p - 2*b - 10 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5174.4 + 5174. What is the fourth biggest value in -4, j, 2, -2, 536?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 28796, 49462, 70128, 90794, 111460?\nAnswer: 132126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 152 = -5*u, 182*u - 183*u + 408 = 3*o. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 4*r - 7. Let w(d) = -d + 1. Give m(z) + 6*w(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o + 3*o = 2*s - 325, -330 = -5*o - 3*s. Suppose 22 = 17*n - o. Calculate the highest common divisor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -125, -239, -361, -497, -653?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 112022221121120 (base 3) to base 13.\nAnswer: 17688c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 183488533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**3 - 17*t**2 - 21*t - 694. Let o be h(-18). Let a(m) = -m + 1. Let j(k) = 2*k**2 - 23*k + 16. Let w(s) = -6*a(s) + j(s). Give w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -11435*t**3 + 1711*t**2 + 24*t + 16. Let w(k) = 3812*k**3 - 570*k**2 - 9*k - 6. Let f(l) = 3*s(l) + 8*w(l). Find the third derivative of f(n) wrt n.\nAnswer: -22854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/37817 and 35\/994878.\nAnswer: 12933414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 745*g**3 + 2*g**2 + g + 4. Let l be v(-3). Let f = -442185\/22 - l. What is the common denominator of -7\/8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3 - 2) + (1 - (1 - 5)). Solve -5*x + t - 43 = -18, c = -2*t + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dddd when four letters picked without replacement from dqdqdqqddqddq?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve v = 7*t - 58, -5*v - 42 = 75*t - 79*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 127535460 rounded to the nearest 100000?\nAnswer: 127500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 18714 = 10886. Suppose 13*q = 3*q + b. List the prime factors of q.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 3:57 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of 1167338747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5674691 or 5674692?\nAnswer: 5674691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -2*u**3 + 4610*u**2 + 0*u**3 + 0*u**3 - 4608*u**2 in the form v*u**2 + o*u**3 + w + i*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 108625.7 decades?\nAnswer: 1086257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert d77 (base 15) to base 3.\nAnswer: 11011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2753, 5, 3, 0 in ascending order.\nAnswer: 0, 3, 5, 2753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(512)*5)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -15. Suppose -v + 43 = -5*m, 3*m + 1 - 10 = 0. Is 4 a factor of v\/5 + l\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.02 (b) -2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the second derivative of -i**5\/120 + 25*i**4\/24 - 23*i**3\/6 + 23*i. Let y(a) be the second derivative of q(a). Does 6 divide y(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*y + 3*p = -58*y - 6, 0 = -2*y + 5*p + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -23 in -0.9, -4, 32, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2833 - 1436 + 5*l - 4*l - 1397.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1400037, -5600164, -12600381, -22400688, -35001085?\nAnswer: -50401572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1010110 (base 2) to base 14\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(405)*-1)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -6*d. Suppose d = -2*o + 22 + 24. Calculate the greatest common divisor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(66)\/sqrt(3))\/(sqrt(2)*-1*-4).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1078 and 2695?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 + 10*y**2 + 2*y - 15. Let r be h(10). Let d = 146 + -96. Let a = 69 - d. Solve 4*m + 41 = -r*i, -3*m + 2*m - a = 3*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*x**5 - 914*x**4 + 246*x**3 + 914*x**2 - 260*x = 0. What is x?\nAnswer: -1, 0, 2\/7, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 7:22 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b = 16*b + 4*c - 1512, -3*b - c + 2243 = 0. What are the prime factors of b?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2551\/183 - -1257\/61. Suppose 1\/3*r**2 - 7 - b*r = 0. Calculate r.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -269 > -275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -166 + 184 - (1 + 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3496881 + -3*(5 - 4). Let k = 1636550561\/468 - d. Let f = 836\/39 - k. What is the common denominator of -87\/8 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * 614525.8.\nAnswer: -1843577.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -1630*c + 15580 = -5684 - 16226 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*f - 36*f = 4. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -70653\/10 + 7077. Suppose 0 = 2*l + t + 2, 3 = -5*l + t - 2. What is the common denominator of 1 - (-83)\/(-48) - l and w?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1100) + 2*sqrt(1100) + sqrt(1100) + 1.\nAnswer: 1 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9315.9 + -9316. Which is the closest to -2\/3? (a) n (b) -1 (c) -0.6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/((-12)\/2))\/((-24)\/(-2 + 962))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 18561, 37112, 55663, 74214, 92765?\n\"Answer: 18551*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -57\/88 and 45\/638.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 325316076?\nAnswer: 2, 3, 27109673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -23.48 - -24. Let x = -0.12 - t. Let i = -0.14 - x. Which is the smallest value? (a) i (b) -3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*d = 29*d + 14 - 56 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9989377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -730566009 - 2.97125\nAnswer: -730566011.97125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(20) + (sqrt(20) + 0)**2 + -5)*-4 + (sqrt(20) - 1*sqrt(80) - -1*sqrt(80)))*-1.\nAnswer: 6*sqrt(5) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 3*y. Suppose -3*c + 5*g + 231 = y, 3*g - 129 = -2*c - 2*g. Let x(m) = -3*m + 2. Let q be x(-2). What is the highest common factor of q and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -83477, -83488, -83529, -83606, -83725, -83892, -84113?\n\"Answer: -n**3 - 9*n**2 + 23*n - 83490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 85*b**2 + 65746*b + 60*b**2 - 67603*b wrt b.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -155967000 rounded to the nearest 100000?\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 66*x**2 + 249*x - 3335. Let c(w) = 22*w**2 + 84*w - 1112. Let f(n) = -6*b(n) + 17*c(n). Differentiate f(o) wrt o.\nAnswer: -44*o - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zywwzwyy. Give prob of picking 1 w and 2 y.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) 858 (c) -1.8 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -290*i - 1. Let j be c(-4). Let h = 1965 - j. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -13576 + 2823791\/208. What is the common denominator of k and 9\/52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -21*h**4 + 18*h**3 - 1162*h**2 wrt h?\nAnswer: -504*h + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6148 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 11*s**2 + 3*s + 2. Let b be n(-1). Let r be (34\/(-85))\/(199\/b). Is 1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 13\/3 - 10\/30. Let v be (8\/4 - -4)*c\/12. Is 171 + -4*(v + -3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102.8 less than -4309?\nAnswer: -4206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 105. Let k = z + 20. Let s = 83.999846 + k. Round s to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9864 and 2274885.\nAnswer: 18199080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 234 and 10998?\nAnswer: 10998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = 17*q - 72 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*p - 5 + 5)*(0*p**2 + 0*p**2 - 2*p**3) + 3*p**4 + 4*p - 4*p + (-4 - 2*p**2 + 4)*(-2 + 3*p**2 + 2).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 16609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 10848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -2*a + 2, -2*a = -a - v - 6. Suppose 140 - 400 = -3*t - 2*s, a*s + 448 = 5*t. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -356, 3, 0.3, -0.2 in decreasing order.\nAnswer: 3, 0.3, -0.2, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*t - g = 50*t + 5, -2*t = -5*g - 34 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -301, -1\/9, -1\/2, 6, -4, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 2*v + 6 + 1 + 110*v**2 - 10 + v. What is the remainder when a(1) is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 245 and 5?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0293604 + -0.0295. Round q to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 - c - 16. Suppose -65*x + 72 = -71*x. Let n = x - -14. Suppose -u = n*u - 4*u. Calculate s(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2550504 to four dps.\nAnswer: -0.2551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {d: 7, j: 2, t: 1, p: 2, g: 2, r: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(49)\/(sqrt(49)\/sqrt(7)*5).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1320939 is divided by 170?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -0.03234866.\nAnswer: -0.01617433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -220222121121 (base 3) to base 10.\nAnswer: -491794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrjrjrrfarrrrrrrrrhh. Give prob of sequence afaf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 60.031721*1\nAnswer: 60.031721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/280 and -81\/1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 193*l**2 + 184*l + 1592. Let b be h(192). Solve -58*f + b*f = o + 15, 5 = -4*o + 3*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 33*m - 492. What is d(14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 24\/9*((-36)\/12)\/(-144)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -t**3 + t**3 + t**3 - 1 - 2 to the form r*t**3 + y*t + i + c*t**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (19*a**2 - 2*a**2 - 6*a**2)*(-3*a**2 + 4*a**2 + 0*a**2) + 26*a**4 + 30*a**3 - 30*a**3.\nAnswer: 37*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 145703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1176, -4677, -10506, -18663, -29148?\n\"Answer: -1164*s**2 - 9*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14290 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 12 + 25 - 44*b + 19*b + 73*b. Is d(34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.9337 in 4, 3\/4, -0.04, 169?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wnnunnnuxxwn. What is prob of sequence wun?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 1\/2*b**4 + 5\/2*b - 1\/2*b**3 + 3\/2*b**2 = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 68 + 62 = 5*z, 5*u = 3*z + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7221.861 + 7286. Round o to the nearest integer.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.02 (c) -7 (d) 2 (e) -63 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 3*g**2. Let x(f) be the first derivative of f**2 - 4*f**2 + 18 - 6*f**2 + 6*f**2. Calculate m(x(k)).\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 17135*t**2. Let x(u) = -2*u**2. What is w(x(d))?\nAnswer: 68540*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 8 + 2 + (8 - 13 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 184077895 to the power of 1\/3, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7453051 millilitres in litres?\nAnswer: 0.0007453051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 235696 (base 10) in base 7?\nAnswer: 2001106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -277*u + 5040 = -85*u + 228*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 121*u + 78*u = 56, -30 = -4*q + 3*u for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1410 divided by -592\nAnswer: 705\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = -5*a, -2*a - n - 1 = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 56, 5, 2154, 0.7 in descending order.\nAnswer: 2154, 56, 5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -25, -103, -285, -625, -1177, -1995, -3133, -4645?\n\"Answer: -9*q**3 + 2*q**2 - 21*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25808?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in -1\/4, 0.5, -5, -6\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 6448*n. Let x(q) = -91*q**2. Give l(x(z)).\nAnswer: -586768*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 7386 rounded to the nearest one hundred?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 412 + -415. Put f, -35, 0 in ascending order.\nAnswer: -35, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gqgqqqqjgqqqqjq. What is prob of picking 4 q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -6, 66*b = 61*b - 6*p - 21. Sort b, -3, 0, -2, 3387 in descending order.\nAnswer: 3387, b, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of q**6\/140 - 2*q**5\/21 - 3*q**4\/28 + 2*q**3\/3 + 32*q**2 + 3*q. Factor c(z).\nAnswer: 2*(z - 7)*(z + 1)*(3*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.6 * 106016.\nAnswer: -63609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -a + 6. Let f = 385 + -383. Let 2\/7*o + 2\/7*o**a + 0 - 2\/7*o**3 - 2\/7*o**f = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -1\/1651 (b) -39.8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 + -14. What is the second derivative of -4*z**2 - 52*z - 99*z**4 + i*z**2 + 127*z**4 wrt z?\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/((d\/d**(-3\/2))\/d))\/((d\/(d**9*d))\/d*d))\/(d**(2\/7)*d)**(-36))**12 assuming d is positive.\nAnswer: d**(4602\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 - 26. Suppose s*d = 4*d. Solve 2*o - 3*l + 4 = 0, 3*o - 3*l + 14 - 5 = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 80 + -112. Calculate the remainder when (-12)\/b - (-15330)\/80 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -1699*k - 8448. What is z(-5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rzjuqwu. Give prob of picking 1 w and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -0.2, -3\/2, -3\/5, 1\/6 in descending order.\nAnswer: 1\/6, -0.2, -0.3, -3\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9 + 14. Suppose -c*p - 4 = 2*v, 0 = v - 6*v + 4*p + 23. Suppose 2*d - j = 4*j + 662, v*d - 2*j = 1015. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -21205630 (base 7) to base 15\nAnswer: -2586a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6b62 - 0?\nAnswer: 6b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -185*a**2*w**5 - a**2*w**2 - 11*a**2 - 2*a*w**2 + a + 4173*w**5 + 52738*w**2 wrt w.\nAnswer: -11100*a**2*w**2 + 250380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -90941*f - 177419 wrt f.\nAnswer: -90941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 112 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 17 = -22*n. Let w be (12\/(-216))\/((-3)\/(-9)). Which is the closest to n? (a) w (b) 0.3 (c) -1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*3\/(-45))\/((-14)\/(-10))*(-123046)\/421872?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15493109207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-17)\/(-5) + (-6)\/15. Suppose -9 = -d*a + 54. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(36)\/sqrt(2)*6 - (sqrt(18) + (sqrt(882)*2 - sqrt(882)) - sqrt(18)))*-6)\/(sqrt(384)*4 - (1*sqrt(24) + sqrt(6))).\nAnswer: 6*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 16 = 2*b, -z = -b - 11 - 1. Let y(l) = -l**3 - 10*l**2 - 2*l - 15. Let u be y(b). Solve -25*v - u = -26*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -9*b**2 + 6 - 9*b - 9*b**2 - 14*b**2 + 33*b**2. Give v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11 and 52157633.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2 - 4*m + 2*m - m. Let k = -67 + 59. Is s(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {m: 4, t: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 8 = h + h, 0 = -2*h + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 6*q**2 + 14*q + 12. Let b be (-3)\/2 + (170\/(-20) - -4). Let u be n(b). Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 154 and 91425103.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5102 + 1572 = 685*f - 729 + 22544 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2237 + 2161 = 3*g. Suppose -2*u + 4*t + g = -606, 3116 = 3*u - 2*t. Round u to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 6*w - 18. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -167*b - 689 - 242 = 1908 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2\/6 + q\/6.\nAnswer: -q*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5920 = 78*d + 130*d + 1968. What is the remainder when 4\/(-10) + (-434)\/(-10) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1768 and 34135660?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b + 2 - 1. Let k be (2\/4 - -1)*-2. Suppose l = -15 + 17. Put k, l, b in ascending order.\nAnswer: k, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes before 10:01 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the second derivative of 0*g**5 + 0 - 1\/3*g**3 + 0*g**4 + 0*g**2 + 4*g - 1\/10*g**6. Find the second derivative of l(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in -33*s**5 + 41641*s**4 + 10878096*s**3 + 1644716*s**2 - 658896*s = 0?\nAnswer: -222, -1\/3, 0, 2\/11, 1484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -19 (base 12) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide ((-160)\/25 + 2)*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the second derivative of 2*d**2 + 3*d. Let m(g) be the third derivative of -g**6\/120 + 5*g**3\/6 + 15*g**2 - 3*g. What is -2*m(w) + 3*z(w)?\nAnswer: 2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1598 = 3*b - 169. Let c = -504 + b. What is the highest common divisor of 25 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -h, -d + 120*h = 118*h - 39. Calculate the remainder when 84 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 62, 0.4, 55, -5, 33, -0.4, 4 in descending order.\nAnswer: 62, 55, 33, 4, 0.4, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q**3 - 8*q**2 - 6*q + 37. What is the tens digit of d(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (2 - 4) + -3 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/5 (b) 2\/7 (c) 5 (d) -292\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a - 3. Let t be m(7). Let o(d) = d**3 + 6*d**2 - 10*d - 11. Let p be o(-7). Solve u - 3 = 2*w + 2*u, 2*u - p = t*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = 4*q + 29. Let b be -2 - (5 + 6) - (62 - 64). Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1265309, -2530618, -3795927, -5061236?\nAnswer: -6326545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**13\/g**(-2\/3)*g**(4\/7)\/(g\/(g\/((g\/(g\/(g*g\/g**6*g)))\/g))) assuming g is positive.\nAnswer: g**(383\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.35 - 0.25. Suppose k = -2, -3*k - 5 = -t + 2*k. Let m be t\/(-2) - (-25)\/(-5). Which is the biggest value? (a) m (b) 2\/3 (c) 5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 t when four letters picked without replacement from {e: 9, t: 2, d: 2, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes after 12:51 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zxzz when four letters picked without replacement from vfxfzhzhxvzhfzvzxx?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/((h**(-7)*h)\/h*h)*h**(-2\/9))**40)**20 assuming h is positive.\nAnswer: h**(48800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11064 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -104756158 + -4?\nAnswer: -104756162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30273 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5859 and 100037.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13786*x**3 + 20380*x**3 + 79094*x**3.\nAnswer: 113260*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -48673 and -0.7448 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 230 + 1184959?\nAnswer: 1185189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2 - 14*y - 18. Let g be c(16). What is the highest common factor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -5*x**3 + 140*x**2 + 2220*x + 7200 = 0.\nAnswer: -6, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - -2. Let l = -11 - -10.48. Let w = l - -0.02. Which is the third biggest value? (a) w (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-3*sqrt(170))\/(sqrt(30)\/(sqrt(3)*3)).\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 13668.5.\nAnswer: -1366.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -6*k + 2. Let l = 1745 - 856. Let f = l + -894. Let p(x) = -11*x + 3. Give f*a(w) + 3*p(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 PM and 2:12 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -1000000101110010111010 (base 2) to base 9.\nAnswer: -3882274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-8)\/32 - (-7)\/2)*4. What is the highest common divisor of 39 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -237.52 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14\/113 + 875\/678. Let n(l) be the second derivative of -1\/3*l**4 + 0*l**2 + 3*l + k*l**3 + 0. Find the second derivative of n(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 AM and 1:15 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y**3 - 9*y**2 - 4*y - 4. Let q be k(-4). Let j be (36\/20 + -3)\/(q\/10). Sort -2, j, -7 in decreasing order.\nAnswer: j, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 7600504151937.\nAnswer: -7600504151938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -38*x. Let h = -125 - -199. Suppose -7*b - 41 + 93 = -207. Let u(z) = 35*z + b*z - h*z. Give u(q(o)).\nAnswer: 76*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 5*z - 11 = 0, -m + 18 = 2*m - 5*z. Let y = 1.238 - 0.838. Which is the third biggest value? (a) -0.13 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (62\/(-682))\/((-2)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 - a. Let u be w(-1). Is u - -55 - (20 - 17) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 624 and 1482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 267 and 424708?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/1053289 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8? (a) 3 (b) 328 (c) 0.3 (d) 2 (e) -1\/2 (f) -968\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = -130*g + 135*g + 5, 0 = 3*n - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 20 + 5 + -11 + -3 + 15\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-26))\/((-197)\/((-235612)\/(-24)))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20 - -18. Calculate the remainder when 1*(-1841)\/(-63) + 2\/(-9) is divided by -10*b\/((-10)\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 4*j**2 + 8 - 41*j - 3 - 10*j**2 + 3*j**3 + j**3. Is a(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 233*b + 49056 = -204*b - 585*b for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1997\/60 + 407\/12. Calculate the common denominator of w and -121\/1398.\nAnswer: 6990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3\/7, 19591, 46, -2\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 645961053?\nAnswer: 3, 17, 71, 178393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -142101433 (base 5) to base 10.\nAnswer: -737743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 586 = 5*m, 2*z + 375 + 223 = 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7428, -13869, -20310?\nAnswer: -26751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 32 + 98. Let i = 912\/7 - r. Is -10 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(((s*s**(1\/2))\/s)\/s))\/s)\/s**2)\/(s**(1\/4))**(-7\/2) assuming s is positive.\nAnswer: s**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**2. Let u = 13 - 18. Is w(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dgddgdggddggdrrdgr. Give prob of sequence ggd.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (25 - -7)*3\/18*3. Suppose u = -3*i - 11. List the prime factors of (-4)\/(-6) - ((-5280)\/i)\/(-5).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 87 + 258787?\nAnswer: 258874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 380022 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -106*j - 1274. Let g be s(-12). What is the second smallest value in g, 1\/11, -726?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - j = 12. Suppose -j*d + 166 = -5*v + 51, 5*d = -2*v + 152. Let y = d - 17. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1 + sqrt(7) + 1.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*m - m + 0*m)*(-6 - 5 + 240) - m + 0 + 0 + (-2*m - 1 + 1)*(-5 + 2 + 1) in the form h*m + s and give h.\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n - 1 = 2*t - 6, 39*t - 20*t - 23*t - 5*n = 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 8 = 0, 3*x + 342 = -g + 341 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (133 - (-3 + (4 - 6) - -9)) + 785 + -782\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931)*-1 + -1 + 3 + 1*sqrt(931) + -1 + -2 + 3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - k - 42 = 0, -2*k = -k + 2. Solve -2*j + 3*s + 8 = 0, 5*s + u - 2 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -10*i - 6. Let o(d) = 1. Let y(m) = -11*m + 332. Let k be y(29). Suppose -17 - 61 = -k*r. Give r*o(c) + n(c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000068104443 rounded to seven dps?\nAnswer: 0.0000681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 610 and 120?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1877241 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1182 - ((-4 - -7 - 3) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 198184.308 + 0.5\nAnswer: 198184.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1093 - 1080. Solve -3*n = -3*s + 6, 12*n - x*n + 4 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 192, 377, 562, 747?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 200843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -50948, -51144, -51650, -52622, -54216, -56588, -59894?\n\"Answer: -26*h**3 + h**2 - 17*h - 50906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -51 + 151. Let l = p - 100.284. Let h = 0.284621 + l. What is h rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/((1\/(-1))\/(-1)). Let h = -12 - -24. Let u be (-8)\/h*(-3)\/7. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((48\/(-64))\/((-6)\/(-468)))\/(49\/(-98))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**3\/4 + 1773*i**2\/4 - 5940*i - 30804.\nAnswer: 3*(i - 17)*(i + 4)*(i + 604)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 121114 and 2583.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.4 (b) 3 (c) -7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - -10. Let z = -6 - 1. Let a = z + n. Solve -b = i - 1, 3 = b + a*i - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(-2\/5)\/d)*d*d)**(-46))**(1\/4) assuming d is positive.\nAnswer: d**(-253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be 136\/(-2)*1\/222. Let l = z - 1\/37. Calculate the common denominator of l and ((-4 - (-88)\/24)\/11)\/((-29)\/(-1334)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 23, 13, -3, -25?\n\"Answer: -3*t**2 - t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4.11 + 0.11. Let m(v) = v**3 + 4*v**2 - 6*v - 5. Let w be m(-5). Which is the biggest value? (a) j (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/5, -80, 15\/8, -3\/4?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(100))\/sqrt(5) - sqrt(20)) + (((sqrt(330) - (sqrt(330) - (sqrt(330) + 2*sqrt(330)))) + sqrt(330))\/sqrt(6))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of 3*l**3 - 3*l. Let v be g(5). Suppose -f - r = -v, 6*f - 3*f + 2*r - 271 = 0. Does 30 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3346, 6598, 9788, 12916, 15982?\n\"Answer: -31*w**2 + 3345*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 84 and 943425.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**4*v*(v\/v**5*v*v)\/v)\/((v**(-4\/13)\/v)\/(v\/v**(-5))) assuming v is positive.\nAnswer: v**(121\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -10, 0, -1\/3, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 223, 439, 639, 817, 967?\n\"Answer: -l**3 - 2*l**2 + 229*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 0 - 10*b - 3 - 2*b. Let q(i) = -i**3 - 5*i**2 + i + 2. Let v be q(-5). Is h(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -9*p**2 - 18*p. Let x(w) = w. Determine -s(r) - 18*x(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 483*t**3 + 18*t**2 - 18*t + 13. Let b(u) = -242*u**3 - 10*u**2 + 10*u - 7. Determine -9*b(d) - 5*y(d).\nAnswer: -237*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 4*w - 5*w = -171, 3*w = 4*b - 133. Let c(p) = p**2 + p**3 - 6*p**2 + 47*p - 15 - b*p - 3*p**2. What is the hundreds digit of c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**2 + 8*s + 42. Let q be u(10). Suppose -q*l + 90 = -13*l. Calculate the highest common factor of l and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the second derivative of k**6\/120 - k**5\/20 - 3*k**2\/2 + 3*k. Let b(i) be the first derivative of a(i). What is the third derivative of b(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 3*z - 56404 + 56401 = 0, 5*f + 21 = -3*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 13536180 to the nearest ten thousand.\nAnswer: 13540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -51 + 56. Let m = -7 + 27. Which is the second smallest value? (a) g (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -119\/80 and 14\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*2*sqrt(80))\/(sqrt(128)\/sqrt(4)))\/(-6*(-4*(sqrt(8) + sqrt(8) + -2*sqrt(8)) + sqrt(8)*-2*3)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52, -210, -476, -850?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-87208)\/5946*(-6)\/(-77)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve o = x + 6, -5*x - 2*o + 0*o = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of 17*b**3\/6 + 2*b**2 + b. What is the derivative of c(w) wrt w?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*g - 2*g - 2*g**2)*(5 - 2 - 1) - g**2 - g**2 + 0*g**2 - 142*g**2 - 15*g**2 + 13*g**2 + 401*g**2 in the form s*g**2 + u*g + z and give s.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(792)*5 - sqrt(22))\/(sqrt(1100) - (-2*sqrt(1100) + sqrt(1100))).\nAnswer: 29*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(-5\/4))\/j)**(-3)*((j*(j\/(j*j\/(j\/(j*j*j\/(j**8*j*j)))))\/j)\/j)**(5\/13) assuming j is positive.\nAnswer: j**(315\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - 3*k + 9155, 2*s = s - 3*k + 1831. What are the prime factors of s?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -209853456 by 13115841.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 111362.\nAnswer: 2, 55681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/12)\/((78\/(-1098))\/(-13))?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-3*sqrt(896))\/sqrt(2) - (-5 + sqrt(847)*-3 - sqrt(847))).\nAnswer: -120*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, -2, 1533.\nAnswer: -3, -2, 2, 1533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -10373512 and -0.4.\nAnswer: 4149404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/3775544 and 65\/16989948.\nAnswer: 33979896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/56*8*19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-172)\/(-5) + (-24)\/60?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17574 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (1 + sqrt(11))*3 + (sqrt(11) - sqrt(176)) + 3)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -55*z**3 - 64*z**3 + 247*z**3 - 63*z**3 - 63*z**3 - 402*z**2 in the form a*z**2 + k*z + r + c*z**3 and give a.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 160 and 4304.\nAnswer: 43040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is bec2 (base 15) in base 12?\nAnswer: 1b4b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1560659.\nAnswer: 1560659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-11 + -4 - -25) + 115 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 - 9*z**2 - 16*z - 11. Let j be g(-7). Suppose -j*r + a + 411 = r, 0 = -3*r + 5*a + 287. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -37 + (88 + -48 + -24 - (-1 - 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71117 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7 and 3346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from kppppppk.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/(-3*(17\/(-3) - -6)). List the prime factors of -311*(-4 - s)\/(-3)*1.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 9*h - 11 + 37 to the form m*h + x and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 258*h**2 + 3 - 3 + 496*h**2.\nAnswer: 754*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 8*g**2 - g - 2. Give y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*k + 4*k - 13*k)*(-1 + 1 + 2*k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -96\/5, 0.5, 9?\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.03 or 2.003?\nAnswer: 2.003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-755 - 108\/18)\/((-18)\/12). Which is the second smallest value? (a) -2\/5 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*q - 2587 + 56914 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 13 = -1. What is the lowest common multiple of 20 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 4*p + 7*p**2 - 4*p + 0*p. Let f be t(-1). Suppose -f*s + 14 = -14. Calculate the least common multiple of s and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-1 - 0 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 93556277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -264, -402, -314, 114, 996, 2446?\nAnswer: 4578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -q + 2*q - 2*q + (5 + 15*q + 22*q - 36*q)*(2 - 1 - 4).\nAnswer: -4*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 23926 = 5*n + f, 5*n + 23920 = 5*f. Let r be (-6)\/27 - n\/27. Is r - ((-4)\/2 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -86\/27 < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 2*o**2 - o. Let d be l(-1). Let 0*r**2 + 2*r**2 - 3*r + 0*r**2 - d*r**2 = 0. What is r?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 652*i**2 - 3*i - 2. List the prime factors of x(-1).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(1 - 4\/6). Suppose 0 = 4*p - 35 - 5. Suppose -2*x = -p - y. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 188, -2\/13, -5\/3, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 2925855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 divided by -1287.\nAnswer: -19\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4177 - -12529\/3. Sort -4, d, 236 in descending order.\nAnswer: 236, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -94 + 314. Let k = -182976.220129 - -182756.22. Let g = m + k. Round g to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 334 (base 5) to base 12.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 201*g - 332*g - 4061 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -4*g**2 + 4. Let f(k) = 5*k**2 - 5. Calculate 5*f(u) + 6*s(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:18 AM and 9:04 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 684 is divided by 166?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the third derivative of -g**6\/1080 + 47*g**5\/540 - 22*g**4\/9 - 32*g**3\/3 + 129*g**2. Factor j(c).\nAnswer: -(c - 24)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4811 + -10\nAnswer: -4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 12, -18428, -2, 0 in ascending order.\nAnswer: -18428, -4, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 AM and 12:16 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 34*j + 29*j - 8 + 13*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (33\/(-9)*-1)\/((-3)\/(-90)). Let v = s - 112. Let y be (40\/(-18) - v) + 6\/27. Solve y*z = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10056.\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 1, y: 1, g: 4, i: 2, v: 5, a: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 0, -3, -4\/119, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 14173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72687*i**2 - 8 - 3 + 72684*i**2.\nAnswer: -3*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44028374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let x = -85 + 114. What is the remainder when x is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18*(-3 + 55\/15))\/(246\/(-656))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 113892.1899 to the nearest one hundred.\nAnswer: 113900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 AM and 4:48 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*n - 1583 = 5*p - 1573, 0 = 4*p + 2*n + 30 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = 4*b + 3, -5 = -4*y - 5*b - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -39 - -31 - (-9 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-100)*(-138)\/(-299)*5?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from uhyyqls?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -116*k + 21*k - 3 - 53*k - 133*k - 45*k as f*k + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b = 25, 0 = i - 36*b + 32*b - 28 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 11686144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 669621.4 to the nearest 1000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*z - 27*z**3 + 15*z - 28*z**3 + 54*z**3.\nAnswer: -z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 420 and 9540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = 29*h - 158 - 183. Solve 4*g - 8 = -2*n, 0 = 2*n + 5*g - 0 - h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence af when two letters picked without replacement from apqaafasftasf?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -31*k**4*r**3 - 577*k**2*r**3 + 3*k*r**3 + 51*k + 7*r**3 wrt k.\nAnswer: -372*k**2*r**3 - 1154*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 2*n - 4. Let r be i(4). Suppose r*d = -5*p + 9 + 13, 4 = 2*p. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2251*f + 2605. What is the hundreds digit of g(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -16*s**3 + 0*s**2 + 5*s**2 + 17*s**3 + 4*s + 4. Let v be u(-4). Solve 0*i + 11 = -v*i - 5*c, -5*c = -3*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - 1 - -3 - ((-45 - -35) + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6836928 divided by 2278976\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50)*3)**2 + sqrt(50) + (sqrt(2) - (sqrt(288) + (sqrt(288) - -5*sqrt(288)) + sqrt(2))**2) + 2.\nAnswer: -13998 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(95) - ((sqrt(95) + (sqrt(95)*-1 - sqrt(95)) + sqrt(95))*-4 - sqrt(95)))*5)\/(1*(sqrt(55)\/(sqrt(99) - sqrt(11)) + sqrt(5)))*2)**2.\nAnswer: 30400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (13 + -3 + 2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 19\/44 + 104\/(-572) + 1257\/12. What is the highest common divisor of o and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 222864.\nAnswer: 2, 3, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -g**2\/9 - 152*g\/9 - 292\/3 = 0. Calculate g.\nAnswer: -146, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 434807218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 68823374 to the nearest 100000.\nAnswer: 68800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 11, 26, 47, 74, 107?\n\"Answer: 3*z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5100 (base 6) in base 9?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2*r**2 - 65*r - 180. What is p(-20)?\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w + 18*w - 7*w - 5*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1325034 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - i = 14, 6*i = 5*d + 3*i - 12. Suppose -144 = -4*y + 2*n, 0 = y - d*n - 2*n - 45. Calculate the highest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4661407.\nAnswer: 1181, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 - 6. Suppose 16 = 14*h - q*h. Let u be ((-2)\/1 - (h - 18)) + -4. Solve -p = -3*p + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - 56*b**2 + 55374*b - 2917. Determine g(-265).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s + 9. Let n be g(-4). Which is the smallest value? (a) n (b) -1\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -68*d + 221*d - 118*d + (-1 - 5 + 4)*(-5 + 5 + d) - 3*d + 3*d - 5*d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gggaaggasaa. Give prob of sequence agga.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12\/31560637 or 1?\nAnswer: 12\/31560637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 7951 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 96087.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (3*sqrt(208))**2.\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 660\/105 + 4\/(-42)*3. Let i be (-39)\/13*4\/v*1. What is the closest to -31 in -4, 3, -3, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10397485799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 132 = 3*n + q, 3*q = -5*n + 231. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 175*l + 124*l + 501559 - 6203788. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 2603?\nAnswer: 1\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0 + (2 - (-2 - 0)) + -71 + 67\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 6 = -81. Let i = r - -161. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 3*a - 177 - 204, i + 2*a = 122. Let h = -94 + 172. Let b = i - h. What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -5634714 divided by -5\nAnswer: 5634714\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/56535 and 83\/15.\nAnswer: 56535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 928*n - 5 = -924*n, 5*p = 2*n - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3630 + -2?\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -699 divided by -4\nAnswer: 699\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 9*j**2 - j - 2. Let n be k(-2). Suppose 2*x - a + 0*a + 445 = 0, 0 = 4*x - 3*a + 885. Let g = 315 + x. What is the greatest common factor of g and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 16*y**2 - 72*y + 6. Let a(m) = 27*m**2 - 140*m + 11. Give -3*a(u) + 5*l(u).\nAnswer: -u**2 + 60*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + (-12 - 3) - (6 + 0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -121 - -20?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 9108 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 12*l = 15*l - 168, 4*l = -12. Let p(y) be the third derivative of y**4\/4 + y**3 + y**2. What is the remainder when w is divided by p(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/153 + 626\/1071. Put 0, 0.2, q in descending order.\nAnswer: q, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b**3 + 2. Let h be 2 - ((-3 - -3) + -1). Suppose -2*n = -h*n. Determine s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 49 = 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -108, -59, 256, 969, 2212, 4117, 6816, 10441?\n\"Answer: 22*x**3 + x**2 - 108*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 629409247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1*18\/((-360)\/(-460))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/9)\/(2\/9). Suppose u - 4 = 43. Calculate the remainder when u is divided by (0 + (-3)\/d)*-16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 PM and 5:12 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 62 - -10 - (-19 + 35 + -24)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2951754599 to the power of 1\/2, to the nearest integer?\nAnswer: 54330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/((-1)\/12*3). What is the highest common factor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 39, -2, -41, -1\/3 in ascending order.\nAnswer: -41, -2, -1\/3, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, 28, 63, 102, 139?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5.055, 33, -3 in increasing order.\nAnswer: -5.055, -3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001238675 to six dps.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*n**2 - 399*n**3 + 231 - 231 - 11*n**2 - 18*n**3 + 17*n.\nAnswer: -417*n**3 + n**2 + 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07628 plus -632535670?\nAnswer: -632535669.92372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(2*(0 + (1*sqrt(156)*-2)\/sqrt(12) + 5))**2.\nAnswer: -1848 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1559, 0.3, -2, -0.4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 5:02 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-21)*k**(1\/46)*k**(-20)\/((k\/((k**(1\/19)\/k*k)\/k))\/k) assuming k is positive.\nAnswer: k**(-36643\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 411*i**2 + 309*i**2 + 26 - 725*i**2 + i - i.\nAnswer: -5*i**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -3*((sqrt(1088) - (-1 + sqrt(1088)))*1 + -1 + (-4*1*-2*sqrt(1088))**2).\nAnswer: -208893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 105, 6\/5, -4, 170 in decreasing order.\nAnswer: 170, 105, 6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 4 + 3 + -17 + 9 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/53, -273, 1.4?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the third derivative of q**6\/180 - q**4\/12 - 5*q**3\/6 + q**2. Let r(s) be the first derivative of k(s). What is the derivative of r(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 177 + -188 - (-22 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -272, -255, -206, -107, 60?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 30 in -4\/3, 3\/4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9375, -18746, -28115, -37482, -46847?\nAnswer: -56210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (0 + (sqrt(208) - -1*sqrt(208)) + sqrt(208) - (sqrt(208) - (-4 + sqrt(208)*2)))*2 + 4 + 2)**2.\nAnswer: -192*sqrt(13) + 13321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6\/19, 9.2, -2\/3, 4\/5, -4, -286?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000016252756912 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 - r + 56. Let w be y(0). Let g = w - 36. Let j = -14 + 71. What is the remainder when j is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 497*d + 569. Determine x(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2289962 divided by 16\nAnswer: -1144981\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r\/(r\/(r*r**3)*r))**(2\/35))**(-9) assuming r is positive.\nAnswer: r**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 213, 630, 1233, 2004, 2925, 3978, 5145?\n\"Answer: -3*k**3 + 111*k**2 + 105*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -25984*i - 784. Let g(x) = -331*x - 10. Give 392*g(p) - 5*h(p).\nAnswer: 168*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 43*s - 14. Let q be x(6). Let u = -1469\/6 + q. Find the common denominator of -43\/39 and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1794 and 2886.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2933 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-128)\/3264)\/((2\/6)\/((-1)\/(-1)))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7396 + -7396.4. Sort -5\/14, y, 2\/9 in decreasing order.\nAnswer: 2\/9, -5\/14, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (144 - (-130 + 168)) + -142\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 2*l + 30926, l = 17*u - 12*u - 38675. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bcfb when four letters picked without replacement from {r: 2, b: 3, c: 1, f: 11, z: 1}?\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 - 5. Let n(u) = 3*u - 110. Let y be n(36). What is the third smallest value in -0.04, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13390 + 13389.4. What is the second smallest value in 34, z, -21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 - -12. What is the least common multiple of n and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 3*w**3 - w**2 + 24*w - 64. Give l(4).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 3*c**2 + 3*c - 4. Let q be o(1). Let g be (8\/4)\/2 - -1. Let z be (3\/g)\/((-1)\/(-2)). Solve 0 = -q*x - z*p + 1, 0*x - 5*x - 4*p - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 123*w - 115*w = 5336. Calculate the highest common divisor of 322 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 558174+-0.069\nAnswer: 558173.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ede09 + -11?\nAnswer: eddf8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from klzllkkkklzkkl. Give prob of sequence klll.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 86 and 2322?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -134 - -135. Let h be 5\/(-1 + 3\/2). Suppose -5*o = 3*b - h, 0*o + o - 2 = 4*b. What is the remainder when o is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(520)\/(1*sqrt(10)) + -1 + sqrt(13) + 2 + (sqrt(13) - sqrt(52)\/(sqrt(4)*-2)))**2.\nAnswer: 9*sqrt(13) + 1037\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1786355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 479*g - 335 + 1010 - 337 - 338.\nAnswer: 479*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 3*f + 302 = 4*x, -5*x + 5*f + 375 = 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 4*j**2 - 4*j + 18. Let c(x) = 4*x + 56. Let p be c(-13). What is the remainder when g(p) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = 3*v. Suppose -3*k + 8 + 4 = 0. Let g = -2 + k. Put g, v, 4 in descending order.\nAnswer: 4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aqqq when four letters picked without replacement from {k: 2, v: 4, z: 4, a: 1, q: 4, s: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 2733, 3087, 3985, 5697, 8493, 12643, 18417, 26085?\nAnswer: 35917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 9576060 - -2?\nAnswer: 9576062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5)\/(0\/2 + -1). Suppose 4*i = v - 2, 0 = 3*v + d*i - 7 + 1. Solve -v*w = l + w + 8, 0 = 4*l + w + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*y**2 - 5*y**2 + 3*y**2 + 4*y**2 - 2*y**2 + 0*y**2 + (2*y - 4*y + 0*y)*(2*y + 3*y - 4*y) - 2*y**2 + 2*y**2 + y**2 - 17*y**2 + 31*y**2 + 24*y**2.\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -20*v. Let w(l) be the first derivative of -l**2 - 28. What is r(w(o))?\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 7*n + 25 = 0. Suppose -5*q + 3*j = -2*j - 130, n*q + j = 130. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -101 (base 8) to base 16.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + 332?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -4701 by 3.\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.3, 7, -14.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10 + 284141*y**3 - 284035*y**3 + 1.\nAnswer: 106*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the second derivative of 0*w**3 - 3*w + 0 - 2\/135*w**5 - 1\/540*w**6 - 1\/27*w**4 - 3\/2*w**2. Let l(b) be the first derivative of k(b). Factor l(v).\nAnswer: -2*v*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-36)\/(-51))\/4*100\/(-150)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/3 + (-6)\/(-18). Suppose 0*z - 5*a + 9 = -t*z, 9 = 3*a. Solve -5 = j - z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 115*z**3 - 59*z**3 - 58*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/147 and -57\/70.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1191.5 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 608205 or 1216409\/2?\nAnswer: 1216409\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-1)*72\/540 - 14\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 302 divided by 151.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3\/4 - 35*z**2\/4 + 9*z.\nAnswer: -z*(z - 1)*(z + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*t - 149 = 121 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -9*v - 11. Let a(b) = 7*b + 11. Let t(d) = -d**3 + 12*d**2 - 10*d - 16. Let s be t(11). Let i(g) = s*a(g) - 4*p(g). Determine i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r = -27 + 27. Suppose 51*m - 59*m + 832 = r. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -3*k**2 + 6*k - 15*k + 2*k**2. Let x(y) be the third derivative of -y**4\/12 - 497*y**2. What is x(j(b))?\nAnswer: 2*b**2 + 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2 + -9 + (21 - (-3 - -24)) + 50\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2896 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4242 + 4247. What is the closest to 1 in -0.1, 2\/21, 0.87, o?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -945 + 945 + 101*h - 67*h.\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -80 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21\/9*3924\/(-763).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3\/9 - 8323*p**2\/9 + 66532*p\/9 - 33260\/3.\nAnswer: (p - 8315)*(p - 6)*(p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13.8 + -14. What is the biggest value in -3\/4, -1, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t = -4*q + 37, 19 = -3*t - 100*q + 101*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*(u**7*u)\/u)\/u*u**3*u**17*u\/((u*u*u\/(((((u*u**10\/u*u)\/u)\/u)\/u)\/u))\/u))**(1\/2) assuming u is positive.\nAnswer: u**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000116605 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 PM and 1:37 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 p when four letters picked without replacement from xxbxbpxpbxppxx.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12 + (-3 + 2 - 1). What is the greatest common divisor of 70 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*r - 8*r - 60 = -3*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 AM and 5:42 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 3663 divided by -407\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 153 (base 6) in base 13?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -474 divided by 92.\nAnswer: -237\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 671927030 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -58602?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l + 5*l**2 - 3*l**2 + 2*l)*(-5 + 5 + 2*l**3).\nAnswer: 4*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*w = -15*w + 30. Let u be (w\/(-36))\/(6\/(-4) + 0). Which is the second smallest value? (a) 0.4 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -5*j + 22. Let v = -4 + j. Suppose 21*s**2 + 5*s**3 + 5*s**4 - 22*s**2 - 12*s**v + 3*s**5 = 0. What is s?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b + 4. Calculate the remainder when 50 is divided by y(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2.112647 litres?\nAnswer: 2112.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(1573) + sqrt(1573) + -1 + sqrt(1573) + 0 + -4)**2 + (sqrt(26)\/(sqrt(6)\/sqrt(3)) - -2*sqrt(26)\/sqrt(2)) + -3.\nAnswer: -393*sqrt(13) + 14190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 8856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 111062980 a multiple of 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*sqrt(171) - sqrt(171))\/(2*sqrt(9)*-5) + -4.\nAnswer: -4 + 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + -2. Let d = -0.24 - 0.06. What is the closest to 1 in 0.3, j, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.1, 4\/5, -5, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -2*x. Let p(c) = -175*c. Let f(k) = 612*k. Let s(i) = -5*f(i) - 18*p(i). Give z(s(r)).\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1404*w**2 + 2808*w**2 - 1405*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -2.903 times 1936\nAnswer: -5620.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -3 + (sqrt(832) + 1)*1 + sqrt(832) + 6*-2*sqrt(832))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2306184 + -1003191878\/435. Let b = z - -22\/29. Let y = -1211\/345 - b. Is 1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23694*k + 18457*k + 23962*k.\nAnswer: 18725*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + 1 + -24 + 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/(-3))\/((-2093)\/1287) - 2. Let r = -303\/2 + 6909\/46. Let c = f - r. What is the nearest to c in 0.11, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 56901, 56759, 56523, 56193, 55769, 55251?\n\"Answer: -47*m**2 - m + 56949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-1)*4\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2348 + 2349.009. Let w = -0.181 - q. Let m = -0.26 - w. Round m to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*r - 5*r + 2*r + 4*r - 4*r - 2*r + (-7 + 2 - 105)*(r + 2*r - 4*r) as g + z*r and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2205?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = t + w, -4*w - 41 = t - 6*t. Let x = 12 - 12. Solve -t*d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0.2 (c) 66\/25 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ucuxcuuuxcxxucu. What is prob of sequence uuuc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14351 - 1?\nAnswer: -14352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6840515 is divided by 162868.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.89 times -111.237\nAnswer: -99.00093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (73\/((-3577)\/147))\/((-78)\/(-130)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 19391851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1515*z + 2462*z - 5517*z + 1529*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 5*p**4 + 220*p**3 - 76785*p**2 + 2784580*p - 2708020 = 0. Calculate p.\nAnswer: -161, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75389550.\nAnswer: 2, 3, 5, 502597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let t be (-122)\/4 + -2 - (7 + (-364)\/56). Let m(s) = s**2 + 36*s + 10. Calculate m(t).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 170383381169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**2\/15 - 12*m\/5 - 16\/3.\nAnswer: 2*(m - 20)*(m + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand a**5 - a**5 - a**5 + (0 + 2*a + 0)*(4*a - 2*a**4 - 4*a) - 14*a**5 - 21 + 21 - 14*a**3 - 8*a**5 + 14*a**3.\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22998115 is divided by 522684.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65 divided by 22.\nAnswer: 65\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -28*l + 2. Let k(z) = 56*z - 5. Determine -10*b(x) - 4*k(x).\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -2. Suppose -z - 1 = 3*k, 3*z + 5*k + 1 = 2. Let c(s) = 3*s**2 - s - 6*s**z - 5 + s**t. Let r(g) = 2*g**2 + 2*g + 6. What is 4*c(h) + 3*r(h)?\nAnswer: -2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + -2. Let w = -4 - a. Suppose y = w + 2. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.3 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 5*a**3 - 8990*a**2 - 135905*a - 126910 = 0.\nAnswer: -14, -1, 1813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18577432 is divided by 1433?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -85668 by 21417.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 816350\/168200 + 9\/(-87).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*c + 72 = -22*c. Suppose -4*i + 72 = c. Calculate the smallest common multiple of 70 and i.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 - -8. Let m = -427 - -433. What is the greatest common divisor of z and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-553)\/(-8) + (17 - ((-272020)\/(-224))\/67)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 3*a = -6*k + 47, 2*k - 36 = -4*a. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - -233033103?\nAnswer: 233033113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 755557*w**3 + 3*w**2 - 7*w - 9. Let i be l(-3). What is i rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b**2 + 204734*b + 818901. What is r(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 655 + -894.08. Let g = j + 235. Let q = 0.08 + g. Which is the smallest value? (a) q (b) -0.3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*u**3 + u**2 - 8 - 3*u + 6*u - u - u**3 - 4 in the form j + f*u**3 + h*u**2 + v*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (37444*t**2 - 1 - 36539*t**2 + 1)*(-2*t - 3 + 3) to a*t**2 + z*t**3 + u + l*t and give z.\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 45745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 66823.16 times -1\nAnswer: -66823.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 113, -6, -0.02, 8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be -3*2\/(-12)*(-52)\/(-13). Suppose 0 = -m*p + 279 + 241. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -216 (b) 1\/4 (c) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 43.17 - -0.2017473.\nAnswer: 43.3717473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 0)*(2 - 2 - s**4) - 2*s**3 - 2*s**4 + 2*s**3 + 8*s**4 + 4*s**4 - 11*s**4 + (-s**2 - 2*s**2 + s**2)*(-18*s**2 + 35*s**2 - 13*s**2).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 19, 12\/19, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-3 - -8)) + 4 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/12*2\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) -5 (d) -11 (e) -6\/6403 (f) 1 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.05973, 2\/5, 0.02, -4, 2.6, -2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -2 (c) -0.4 (d) 11.335\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11076 is divided by 500?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are -395455195 and -395455194 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2697.9992 + -2699. Let h = -4.8 + 3.8. Let z = t - h. What is z rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25207 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -2*u - 3. Let c be p(-4). Let i(h) = h**2 - h - 1. Let x(a) = 7*a**2 - 5*a - 4. Suppose 23 + 62 = 5*b. Let l = b - 18. Determine c*i(s) + l*x(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 344591067.\nAnswer: 3, 114863689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 190, 39, 0, 6\/7 in descending order.\nAnswer: 190, 39, 6\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -102 + 104. Suppose 25 = 3*n + 2*n, -m*p - 195 = -n. Let s = p - -97. Solve s*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/14*(6\/(-15))\/((-98)\/1470)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -50504 + -930?\nAnswer: -51234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7493 times 0.5?\nAnswer: 0.37465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -9*q - 8. Let i be 196\/6 + q\/(-3). Suppose 4*o + i = 4*h - 79, 2*o + 87 = 3*h. What is the greatest common factor of h and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*sqrt(153))\/(sqrt(9) - sqrt(2205)\/sqrt(5)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2\/1077 - 1063\/7539. Let f = 2 + -2. Put h, -0.3, f in increasing order.\nAnswer: -0.3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3665*s - 11. Is n(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -176, -477, -978, -1679, -2580?\nAnswer: -3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 1. Let o = 275 - 271. Let b(d) = d + 5. Let k(f) = o*a(f) - b(f). Let u be 2\/((2\/(-7))\/(-1)). Give k(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -15 (base 12) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 320*j**5 - 1332240*j**4 + 1664885*j**3 - 353775*j**2 + 20810*j = 0.\nAnswer: 0, 1\/8, 1, 4162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5458 + 5427. Which is the closest to -4? (a) o (b) 0 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**2 - 3*l - 3. Suppose -5*t = 10, k = 5*k + 4*t + 16. Let f be ((-4)\/(2\/k))\/1. Let p(g) = g**2 + 4*g + 4. Give f*w(h) + 3*p(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 5*v = 4*y + 8652, 4321 = v - 3*y. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.4 + 1.8. Let n = 3 + v. What is the nearest to -1 in -4, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -71*i + 1661. Let h be z(23). Solve 37 = h*u - 75 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66 and 122010.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 3) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -250 or -248?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 847 and 5789063.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -100011101010 (base 2) in base 8?\nAnswer: -4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26685908.\nAnswer: 2, 383, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -3*3*6*sqrt(720)*-1*4*5 + -3.\nAnswer: -8 + 12960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 18 = 2*h - o, 2*o + 12 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1.7, -639, 0.0657, 0.1?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1319550 and 15675?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = -4*a + 5*t, 0*t = 5*a - t + 19. Let u be (-2)\/a*6 - 0. Suppose -4*k = -0 - 12, -u*k + 80 = 4*j. Solve -2 = 3*s - j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 581.889 + -574.3. Let k = -1.211 - -1.2. Let o = k - x. What is o rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 167*m**2*s*y + 37*m**2*s - 129*m*s*y - 317*s*y - 473*s - 4 wrt m?\nAnswer: 334*m*s*y + 74*m*s - 129*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = 5*a - 3*p - 45, 5*p = -a - 15. Suppose a*z = 8*z + 62. Let c = z + -26. Solve 0 = -n + c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y - 8. Let m be g(-10). Let f(c) = -2*c + 3 + 8*c + m*c. Suppose 0 = -r + 2*h, -2*h = r + h + 20. Let o(l) = 12*l + 5. Calculate r*f(x) + 5*o(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 3 = -j. Suppose -j*x + 18 = 3. What is the lowest common multiple of x and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 0.112698.\nAnswer: -0.0450792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -53935.12914 - -8.5\nAnswer: -53926.62914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 13 - 3 + 8 - 15*w + 25*w. What is the units digit of i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by 1935290.\nAnswer: -3\/387058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -20000 - 11?\nAnswer: -20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3621*q**3*r**2 - q**3*r + 1416*q**3 - 17*q**2*r**2 + 658258*r wrt q?\nAnswer: -21726*r**2 - 6*r + 8496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.5+0.14750642\nAnswer: -0.35249358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 238 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/7)\/((-7)\/14). Which is bigger: z or 1\/12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f**2 - 6*f**2 + 3*f**2)*(-5*f + 3*f - 4*f + (-2 + 6 - 2)*(f + 0*f + 0*f))*(0 + 2 + 1).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + (13 + -38 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -33\/13, -0.3, 0.4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(1\/8)*g)*g**(3\/17))\/(g*g\/(g**(4\/7)*g)*g*g)**(-6) assuming g is positive.\nAnswer: g**(13921\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10280?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(1539) + -3 + -4 + (-1*(sqrt(1539) + (sqrt(1539) + 3)*-4))**2)*-2*4.\nAnswer: -111896 - 5256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, -41, 4 in decreasing order.\nAnswer: 5, 4, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 - 0 - 0) + -1. Suppose -o - o = -4*m + 26, 2*m = -5*o - u. Suppose -2*i + m*i = 3. Let l(z) = -2*z**3 - 2*z**2 + 1. Calculate l(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, -0.6, -0.01, 5\/6, -5 in descending order.\nAnswer: 5\/6, 2\/3, -0.01, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j**4 + 6893188*j**3 + 2969804248644*j**2 + 44545857429260*j + 148485042576200 = 0.\nAnswer: -861641, -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 20*u**2 - 56*u + 100. Let f be j(-11). What is the highest common divisor of 64 and f?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 70 = 7*c. Let s be ((-63)\/42)\/(1 + c\/4). Sort -4, s, -3, 0 in increasing order.\nAnswer: -4, -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*r**2 - r - 114*r**4 - 113*r**4 + 225*r**4 + 2*r**3 in the form t*r**3 + k*r**2 + f + a*r**4 + j*r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (562 - 577) + (42 - -2 - -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 281311 or 281308?\nAnswer: 281308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23.48 - 24. Let l = m + 0.02. Which is the third smallest value? (a) -15 (b) 3 (c) l (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1985 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 22 = -12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 24236388 and 2376.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -1a82?\nAnswer: 1a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 25 = 3*u + 2*q, 28 = 2*u - 3*q. Let x(h) = -h**2 + 12*h + 10. Calculate the remainder when x(u) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2219)\/77 + (-4)\/22. Let d = -110 - y. Let b = d + 113. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 28\/3, 0.4, 1\/10, -5, 129.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1\/2, 8\/7, 1 in descending order.\nAnswer: 4, 8\/7, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 17 = -2*b + 4, 4*m - 2*b = 28. Suppose 60 = m*l - 100. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2538, -2537, -2536, -2535, -2534?\n\"Answer: z - 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (113 + 3)\/((182\/34 - 5) + (-1674)\/(-459))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of -59*l**4 - 3*l**2 + 10*l - 4. Let v be p(-7). What is v rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1070 times 5?\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*t - t - 3*t)*(5*t - 2*t - 2*t) - t + 2*t**2 + t + 3*t**2 + 0*t**2 - 4*t**2 + (3 - 5 + 4)*(3*t**2 - 3*t**2 + 2*t**2).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 32302502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p**3 - 155*p**2 + 79*p - 97. Give u(77).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dxommomocvd. What is prob of picking 3 m and 1 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1863690 rounded to the nearest ten thousand?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 8, -3*o - 5*z = o - 22. Suppose -3*u = -0*u - o. Let t = -34 + 50. Solve 0 = 5*p + u - t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-48)*(-4)\/((-8)\/9)*(-907)\/9070?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (17 - 3 - 7 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 - -10. Suppose -6 = f + n*d - 35, 20 = 4*d. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 286790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 + 22 - 9 + 13399*a - 13405*a. Determine u(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 59 = -4*j - r + 42, -r = -j - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7324.556 and 1?\nAnswer: 7324.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 8, 0, 7 in increasing order.\nAnswer: 0, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 170500 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0*1*2\/4. Let n(z) = z**2 + 7*z + 6. Let o be n(-6). Suppose 3*k = 5*k - r + 7, o = -3*k + r - 12. Put k, -3, i in decreasing order.\nAnswer: i, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -z + 2816. Let u = z + 1183. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -33, 3, -1352\/555 in descending order.\nAnswer: 3, -1352\/555, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-105)\/(-10)*(-4)\/(-6). Solve n + 6 - f = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a + 2. Let r(q) = 13*q - 12. Give -r(s) - 5*y(s).\nAnswer: -18*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3 (b) -12059 (c) 0.1166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 151*f - 1760 = 163*f - 92*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6380 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence auau when four letters picked without replacement from {a: 5, u: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-8)\/24 + 76\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2132\/3 - 14921\/21. Let y(p) be the first derivative of 30\/7*p + f*p**3 + 3\/2*p**2 + 13. Factor y(s).\nAnswer: 3*(s + 2)*(s + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 131*f - 31. Let x = -366 - -377. Let v(i) = -393*i + 92. Let r(l) = x*p(l) + 4*v(l). Differentiate r(y) with respect to y.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*r**2 + 48*r**2 + 68*r**2 + 53*r**2.\nAnswer: 127*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3864 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 65.63756ml to litres.\nAnswer: 0.06563756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 2\/13, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n - 5 = 1. Let p be n\/((-1)\/(30\/3)). Let i = -3 - p. Solve -2*r = 2*f + 4, -i*r = -2*f - 2*r + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 10931997 or -5\/6?\nAnswer: 10931997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*b = -102*b - 3*c + 13, 3*b - 4*c - 11 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -229 + 234. Suppose 7*f - 5*f - 4*k + 12 = 0, l*f = k - 12. Let g(j) = -j**2 + 5*j + 5. What is g(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -16*u**2 + 99*u - 7. Let o be (-20)\/(-20) - (-10)\/2. Let p be w(o). Solve 5*r + 2*s = -0*r - 11, r - p = 4*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*m - 2 + 0*m - 3*m + (-2*m - m + 0*m)*(2 - 1 - 2).\nAnswer: 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*h + 4*h**2 - 28*h + 9*h + 35*h + 78*h.\nAnswer: 4*h**2 + 114*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/23, 1, -5, -1\/4.\nAnswer: -5, -1\/4, -1\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 3*s - 8137 - 44, -3*n = -2*s - 24510. What is the greatest common factor of 72 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/2359 + 143905\/7077. Find the common denominator of m and 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from fffhyrh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**2 - j**2 + 3*j**2)*(-84*j - 44*j + 86*j - 11) + 0 - 3*j**3 + 0.\nAnswer: 39*j**3 + 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of -7*u**4\/4 - 11*u**3\/2 + 20*u + 14. Let x(i) be the first derivative of v(i). Find the second derivative of x(r) wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 96497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149*x = -185*x. Solve x = p - 2*p, 3*g + 15 = 5*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 5*s + h - 17, 0 = 4*s - h - 7. Suppose 15 = -s*b, 3*v + v - 201 = 5*b. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gogfopopoogo. What is prob of picking 1 o and 1 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6.12 - -6. Let b = j - -0.12. Let m = 0.00000064 + b. Round m to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 248.0497 + -0.0497. Let k = g + -220. Which is the closest to 0? (a) 3 (b) k (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1388 + -396. Let v = j + 1793.59. What is v rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/((g**(-9)\/g)\/g))\/g)\/g**1*g**(2\/53)\/(g**(-8)*g) assuming g is positive.\nAnswer: g**(903\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 101 + -111 + -4 + 1 + 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 130*m**3 - 4*m - 130*m**3 + 5*m**4 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 6.1. Suppose -4*u + 12*u = 8. Let t = 0.1 + -0.3. What is the closest to -3 in t, u, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 434 = 10*c + 2*j, 3*c - 76 - 47 = 3*j. Let u be -10*1*1\/(-2). Suppose -51 = -u*l + 4*d, -4 + 0 = -4*d. What is the remainder when c is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3008763 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 5*v**3 - 4*v**2 + 3*v + 13. Let k(d) = -d - 21655*d**3 - 5*d**2 + 4*d + 14 + 21661*d**3 + 10 - 12. Calculate 4*k(l) - 5*r(l).\nAnswer: -l**3 - 3*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 791 a factor of 13227626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -143*d - 33049 - 14497 = 1503. Which is bigger: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 146776 is divided by 29351.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-502)\/(-1004))\/(3\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4257000 divided by 1800.\nAnswer: -2365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 258, 383, 338, 39, -598, -1657, -3222, -5377?\n\"Answer: -14*z**3 - z**2 + 226*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 3*k + 2. Let h(j) = 5*j + 5. Let w(z) = -z - 1. Let o(q) = h(q) + 6*w(q). Determine 2*d(s) + 5*o(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 209 + -208. Calculate the common denominator of r\/((-10)\/35 - 110\/7) and -73\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zbxbobbbbbbbbzoobboz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 197680873 or -1?\nAnswer: 197680873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from imiummm. What is prob of sequence mmi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -14208 divided by 222?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and -144.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) -3 (b) 1\/10 (c) 2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 15905139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(3 + -2 + sqrt(684) + sqrt(684) + 2))**2 + ((sqrt(684) + 2)*-1 + ((sqrt(684) - (0 + sqrt(684) - sqrt(684)))*-1 - sqrt(684)))**2)*4.\nAnswer: 1440*sqrt(19) + 68560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + 2 + (6 - 0))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -88*z - 22*z - 60*z + 8*z + 6*z**3.\nAnswer: 6*z**3 - 162*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 16445*y.\nAnswer: 16445*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -32 - -74. Let x = -60 + i. Let l = 17.8 + x. Sort 1\/10, l, 3 in decreasing order.\nAnswer: 3, 1\/10, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {o: 1, z: 4, x: 5, m: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 460, 498, 584, 742, 996?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -20*i**6*m - 1103*i**3*m + 8*i**2*m + 28*i**2 - 44*m wrt i.\nAnswer: -2400*i**3*m - 6618*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7 and 323.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 37*q**3 - 3*q**2 - 15*q + 17. Let u be o(8). Let l = u + -110597\/6. Let y = -217 + l. What is the nearest to 1 in y, 2\/17, -2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -75 + 77. Solve q*d = i - 4, 0*i = 4*i + 4*d + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 + 6*h**2 - 7*h + 6. Let x be u(4). Suppose -3*j + x = -2. What is the remainder when 13 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2226 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 58423, 58636, 59041, 59644, 60451?\n\"Answer: d**3 + 90*d**2 - 64*d + 58396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-11 + 6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oej when three letters picked without replacement from {o: 4, j: 3, e: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/3, -5, -0.1, -251, 200?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be -4*3\/6 + -2. Let y(o) = 2 - 6*o - 25*o + 2*o - 2 + 1. What is the units digit of y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.585333 millilitres to litres.\nAnswer: 0.000585333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 78 - (123 + -53) - (13 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -40 + 45. Solve -2*w - 6 = 3*o, -o - k*w + 4 = -7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {r: 2, p: 3, k: 4, g: 1, n: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 3*u = 65*y + 385, -5*y = 15 + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 69.3 + -69. What is the nearest to i in 3, 4\/3, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 5. Suppose -m = 3*j - 23, 0*m + 3*m - n*j - 36 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 3*g - 3. Calculate the remainder when j(11) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.6? (a) 4 (b) 1\/5 (c) -15149 (d) 0 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*q = -152840 + 153389 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hsxxhuhsuxx. Give prob of sequence uu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 0 = -i + 5*d, 4 = 3*i - 4*d. Suppose -2*n + 3*r = -4, -n - 3*r = -i*n + 12. Suppose -4*m = -n, 4*m + 295 - 833 = -5*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/(-3))\/(1\/27). Let w be (-30)\/(-6) + 86\/h. Sort 2\/3, 1.3, w in ascending order.\nAnswer: w, 2\/3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of -x**6\/24 - x**5\/10 - x**3 - 39*x**2. Let q(y) = y**3 - 4*y**2 + 1 + y**2 + 4*y**2. Give i(o) + 6*q(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 - -1. Suppose -500 = 4*i - 4*m, -514 + 11 = z*i - 5*m. Is 4 a factor of (-4)\/(-14) + i\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 31560 and 695?\nAnswer: 4386840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 762 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 96, 83, 70, 63, 68, 91?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 477 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -897680*k**5 + 610*k**2 + 268*k wrt k?\nAnswer: -53860800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 975.4562kg?\nAnswer: 975456200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 32*t**2 - 67*t + 62. Let d be y(-34). Solve -d = 13*n - 6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 1)*(1 - 1 - i) + 0*i + 0*i - 2*i + (-5 + 5 - 3)*(34*i - 9*i - i).\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2\/73239 - 57272912\/512673. Which is smaller: o or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7 - 6 + 13*x**2 - 5*x + 21*x**2 - 32*x**2 as s*x + r + z*x**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 441 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -70*w**5 + 28645*w**4 - 6090*w**3 - 18395*w**2 - 4090*w = 0.\nAnswer: -1\/2, -2\/7, 0, 1, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = h, 4*i + 10*h - 15*h - 9566 = 0. Let w = i + -1316. List the prime factors of w.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j + 10. Suppose 0 = -2*w - 0*i + 3*i - 3, -3*i - 3 = -4*w. Calculate the remainder when 57\/w*(-6)\/(-6) is divided by z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1014 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from oyoyyyyoooyonpyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:48 AM and 1:28 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 10 - 1)*(3*t - t + t) to o + c*t and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 3*q - 39 = -2*q, 0 = 3*t - q - 59. Calculate the lowest common multiple of 22 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 - 2)\/(-4 - -1). Let a = 5.2 - 2.2. Let y = -1 + 3. Sort d, y, a in decreasing order.\nAnswer: a, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rfhrhrhhhhhfrffrh. Give prob of picking 2 f.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*(z**0*z)\/z)**(-13))**9\/((z**8\/z)\/(z*z\/(z\/(z**(-1\/19)\/z))))**(-7\/3) assuming z is positive.\nAnswer: z**(-5731\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 331 + -267. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l + 21*l - k = 19, 5*l = -5*k + 45. Calculate the highest common factor of l and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -100*c**3 - 47*c**2 - 20*c + 19. Is q(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 89 + -27. Let n = -62 + v. Suppose -4*f = -4*j - 76, n*f + f + 2*j = 4. Calculate the remainder when 95 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 349034 is divided by 1061?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 21249610.78 to the nearest one hundred thousand.\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 26.76 + 4.135. Let o = p + -32. Round o to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -108 divided by -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -2*r**3 + 7*r**2 - r - 1. Let y be n(2). Let z(s) = 8*s - 9. Let g be z(9). Calculate the greatest common factor of g and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-18)\/4*2\/(-3). Suppose -6*u = -c*u - 9. Let k be 1619994\/u + (1 - -1). Round k to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2.39 > 1\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 229 - 1600\/7. Let o = -68 + 338\/5. Which is the third biggest value? (a) j (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9 or -2\/85?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -6*h + 5*m + 60, h = 4*m + 4. Suppose h - 8 = 2*g. Let n be ((-3)\/(-1) - g) + -53. What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*o**3*u*z**3 - 101*o**3*u*z**2 + o**3 - 30*o**2*u - 16*o**2 + 2*z**3 + 1 wrt o.\nAnswer: 12*u*z**3 - 606*u*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 350 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, -3, -6, -10, 702, 12 in descending order.\nAnswer: 702, 12, 2, -1, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (1 - 0) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/22*38\/(1976\/52)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 165580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00006823 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -12020012102 (base 3) to base 13\nAnswer: -37b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -1199 + 1195 - 27*q - 30*q - 9*q + 16*q as d + z*q and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 360.9192 decades in centuries?\nAnswer: 36.09192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2684 and 732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 21\/806 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 43*t + 218. Let d be i(-5). Suppose 15*v = -3*y + 19*v + 1604, d*v = -2*y + 1058. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.4 - 0.9. Which is the nearest to -0.2? (a) 0 (b) 4\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -287050 to the nearest one thousand.\nAnswer: -287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 735 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5099, 9, -3 in descending order.\nAnswer: 5099, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of d**3 + 7*d**2\/2 + 7*d - 203. Let m be r(-1). Solve -8*l - m = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000765694 rounded to seven dps?\nAnswer: 0.0000766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-513)*-3*21\/(-14).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 2)*((-k + k + 2*k)*(3*k**3 + 3*k**3 + 0*k**3) + 3*k**4 - 4*k**4 + 3*k**4)*(3*k + 2*k - 2*k).\nAnswer: 42*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - -421.495223.\nAnswer: 421.395223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*o - 7*o + 30*o + 154 = 0. Sort -0.1, -22, o, 1\/4.\nAnswer: -22, o, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 2, -2, 1, 7, -41 in ascending order.\nAnswer: -41, -3, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2 * 1075285\nAnswer: -2150570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 238*q - 26*q + 107*q + 70*q + 322 with respect to q.\nAnswer: 389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 19.99751us?\nAnswer: 19997.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12040 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7744669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 222122185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -29f691 (base 16) in base 2?\nAnswer: -1010011111011010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 21334 + 1062043?\nAnswer: 1113410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14999104 is divided by 2885?\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((196\/35)\/(-4))\/((-11)\/((-1320)\/(-4)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -20 + (23 - -8) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*d + 432 = 150*d. Solve 3012 - 3012 = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 11859\/2478 - 3\/(-14). Put -3, -17, a, 4, 3 in decreasing order.\nAnswer: a, 4, 3, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -6, -3008813, 5 in descending order.\nAnswer: 5, -0.2, -6, -3008813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11507, -23016, -34525, -46034, -57543, -69052?\nAnswer: -80561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*f - 2. Let d be ((-2)\/f)\/(1\/5). Suppose -d*u + 95 = -0*u. Calculate the highest common factor of u and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 3cfa79 (base 16) to base 4\nAnswer: 33033221321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1451c0 + 2?\nAnswer: 1451c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(204) + sqrt(204) - sqrt(204))*6 - 3*(sqrt(204) - sqrt(204)*2))\/((sqrt(432) + sqrt(432)*-5)*-1)*-5.\nAnswer: -25*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((0\/(20\/4))\/(-1))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 1991*v**3 - 82*v - 8. Let y(w) = 996*w**3 - 41*w - 3. Let g(s) = 3*c(s) - 5*y(s). What is the second derivative of g(m) wrt m?\nAnswer: 5958*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32120 (base 4) in base 16?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 131767101 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 275710 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3\/52 (b) -0.22 (c) 2\/19 (d) -0.1 (e) 3\/7 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 48, -5, -7, 6, 520 in decreasing order.\nAnswer: 520, 48, 6, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/5 + (-14)\/60. Let j = 11683\/87690 + 3\/29230. Let l be (-1)\/(-1 + 12\/10). Sort l, j, -4, g.\nAnswer: l, -4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -337659 = -612*l + 591*l. List the prime factors of l.\nAnswer: 7, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 + 0)*(0 - 30*p - 3 + 2).\nAnswer: -60*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/72928, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1950, 7800, 17544, 31176, 48690, 70080, 95340, 124464?\n\"Answer: -o**3 + 1953*o**2 - 2*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*b = 22*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 3*d + 296, 2*t - 4*t + 484 = -5*d. Let b be (-80)\/3*d\/40. What is the highest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 70 + -140. Let m = 190 + b. Calculate the highest common factor of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 9*f = 10. Suppose -5*i = -v + 70, v - 2*i = f*i + 70. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 2 w when four letters picked without replacement from {v: 5, w: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w - 4. Let y(o) = o**2 + 7*o - 66. What is the lowest common multiple of b(5) and y(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(9\/16) + 1\/(-3). Solve 5*l + 5*c + 25 = 0, 0*c - o*c = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -8*u**2 + 85*u - 51. Let k be p(10). Is k > -5\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the first derivative of -p**6\/45 - p**4\/8 - 4*p**3 - 3. Let a(v) be the third derivative of i(v). Differentiate a(d) wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 33 + -26. Let j = 3 - m. Which is the closest to 0.1? (a) 0.1 (b) j (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -85075, -2.31 in ascending order.\nAnswer: -85075, -2.31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -27*k - 1. Let p be (-11325)\/(-9) - (-16)\/24. Let a(w) = -w + p - 1259 + 3*w. Give a(b(n)).\nAnswer: -54*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 - 3*s + 4. Let w = -7 + 10. Let g be b(w). Suppose -g - 4 = -4*z. Solve -2*r + 4*d + 3 = -21, -4*r = -z*d - 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10.03 + -13.03. Which is the second biggest value? (a) -1\/5 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l - 15*l + 66 = 0. Solve -l*r + 0*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -59 + 60. Let t = -3 - -3.2. Let f = 5.2 - t. What is the second smallest value in d, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.03 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/1716 and 149\/229152.\nAnswer: 2978976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 180359 is divided by 1316?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract 56 from -141374209.\nAnswer: -141374265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be 18\/(-72) - (2 + 62\/(-24)). Which is the closest to d? (a) -1 (b) 4\/3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -50717*o**4 + 0*o**2 + 3*o**2 + 176 - 2*o**3 + 50715*o**4 + 3*o - o**3 + 5*o**3 in the form p*o**2 + f*o + w*o**4 + z + y*o**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-189)\/(-14))\/(1\/(-2)*6)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 35 (base 11) to base 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 87420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/2)\/((90\/315)\/(68\/(-1071)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(4*4*sqrt(700) - sqrt(700)*-2*-2) + 4.\nAnswer: 4 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.22 * 522\nAnswer: 114.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 - -17. Let o = t - 5. Suppose o*c = 6*c + 10, 2*b = -3*c - 11. Which is smaller: -2\/9 or b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -408544308 divided by -5244.\nAnswer: 77907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-3) - 800\/120.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -302 - -289. Let s(m) = -3*m - 35. Let o be s(y). Solve o + 11 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 17\/786?\nAnswer: 17\/786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 11, -1\/7, 0.4, 387.14 in descending order.\nAnswer: 387.14, 11, 5, 0.4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.7? (a) 0.066 (b) 48 (c) 2\/15 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 110 divide 304445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of r**5\/60 - r**3\/6 - 4*r**2. Let b(g) = 6*g**2 - 10. Let y be 136\/(-14) - 4\/14. Determine y*l(x) + b(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 220623804*p**3*s**2 + 1528*p**3*s - p**2*s + 11232*s wrt s?\nAnswer: 441247608*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 1801.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 628 is divided by 82?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1196, 1206, 1218, 1232, 1248, 1266, 1286?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 + -93861b6?\nAnswer: -93861b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 113 - -321032342?\nAnswer: 321033010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.228 and -5.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*t + 8*t = 64*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*v - 8*v - 9*v)*(3*v**3 + 0 + 0).\nAnswer: -108*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + -1. Let y = -68.7 + 35. Let n = 28.7 + y. Which is the closest to l? (a) n (b) 2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 66009992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -12172 divided by -29?\nAnswer: 12172\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nfnapel. Give prob of sequence pl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 120000 is divided by 59986.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 6*s**2 - 9*s**2 + 5*s**2 in the form w + g*s + v*s**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - 2952882620.\nAnswer: -2952882619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 139204079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 4*v = -137 + 97, -4*u - 3*v - 30 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i - 4*i + 3*i)*(i**2 + 3*i**2 + i**2) - 43*i**3 + 314*i**3 + 262*i**3 + i**3 + 4*i**3 - 3*i**3.\nAnswer: 540*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4147123513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2491989, -2491990, -2491991, -2491992, -2491993?\n\"Answer: -a - 2491988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 97737445?\nAnswer: 5, 13, 1503653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -58444*l**6 - 24197*l**2 - 1.\nAnswer: -7013280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 11\/2 (b) 225 (c) -1 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -4 (b) -27 (c) 1.8 (d) -1\/6 (e) 2\/423 (f) -0.2 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 131.3 * -0.015497\nAnswer: -2.0347561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -3*k. Let j(v) be the first derivative of 13*v**5\/60 + 3*v**2\/2 + 36*v - 14. Let f(w) be the second derivative of j(w). Determine f(z(l)).\nAnswer: 117*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.06, 0, -0.7, -1008?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/78 and 41\/92?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -23*i**2 + 3*i + 8*i**2 - 3*i. Let j(a) = 4*a. Determine y(j(h)).\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.9 + -3. Let t = -0.9 - n. Let f = 1 - 5. Sort f, t, 2 in increasing order.\nAnswer: f, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-25 - 1 - -12) - 19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 89.9 * -0.5\nAnswer: -44.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -15642 + 15642 - 31622*m as z + y*m and give y.\nAnswer: -31622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 918 and 1787181678?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**14*c**(2\/37)*(c**(-20\/7))**(-13))**45 assuming c is positive.\nAnswer: c**(608355\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 276 or -34?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - 2.5. Let h = -0.2 - a. Let i = -0.1 - -0.1. What is the closest to i in h, -4\/5, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3176 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1710272256?\nAnswer: 2, 3, 7, 11, 28921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 59035639153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 325298440927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 3*w + 11, 0*j + 2*j - w = -1. Let l(o) = 24*o + j*o - 2 + 0. What is the remainder when l(2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -219*c*p**4 + 2*c*p**2 + 3752*c*p + c - 1209*p**4 - 3*p**2 + 2*p wrt p?\nAnswer: -5256*c*p - 29016*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14893 or 74468\/5?\nAnswer: 14893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14200 and 761120.\nAnswer: 3805600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 8. Suppose -z*n = 3*n. Suppose n = -3*p + h + 35, p - 12 - 4 = -4*h. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (0 - (-4 - (-9 + 6))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 48*u**2 - 4*u - 1. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**18*h)*h*h**(2\/9))\/(h**(4\/3)\/h**(-17)) assuming h is positive.\nAnswer: h**(-316\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 + 5*p**2 - p + 7. Let r be l(5). Let m be (0 + r\/(-22))\/((-9)\/6). Which is the second smallest value? (a) m (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 154 and 9394.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-30)\/(-75))\/(2\/(-185)))\/1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w + 1. Determine h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -6 + 20 + -8 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/1 + (-2)\/8. Let j = 0.08 - -0.18. Let h = j + 0.04. Which is the smallest value? (a) h (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -41, -0.5, -9, -5\/7, 3\/5, 6 in ascending order.\nAnswer: -41, -9, -5\/7, -0.5, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2164 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of -5*s**8\/56 - 7*s**4\/12 - 5*s. Find the third derivative of p(w) wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 810209?\nAnswer: 810209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m\/(m\/((m\/m**(12\/7))\/m))*m)\/m)\/(m\/m**14))\/(m**(-1\/9)*m**(2\/35)))**(-22\/7) assuming m is positive.\nAnswer: m**(-78584\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -94*a + 383. Determine i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, 16, -38 in descending order.\nAnswer: 16, 0, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + 0*q + 2*q)*(-q - q + q) + (0 + 3*q + 0)*(2*q + 2*q - 2*q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 - r - 1. Let t be v(-1). Suppose t = -8*o + 17. What is the second derivative of 9 - o + 7*u**5 - 7 + 10*u wrt u?\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 4*x**2 + 75*x - 35. Give q(-17).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 25*s**5 + 805*s**4 + 85*s**3 - 2365*s**2 + 1130*s + 320 = 0.\nAnswer: -32, -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of 5*h**3\/6 + 203*h + 2. Let s(v) be the third derivative of v**4\/12 + 11*v**3\/6 - v**2. Determine s(u(b)).\nAnswer: 10*b + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 201240 and 1300.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/248239 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -781*z + 3901. What is c(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48960 is divided by 859?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -3*y + 1643, 4*h + 1040 + 567 = 3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/9, 1, -5, -23.3, -4, 0.044, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + o + 17381 = -141, -4*k + 3*o + 17526 = 0. Suppose -30*g = -0*g - k. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.3 - -2.38. Let q = s + -0.08. Let f = -92.7 - -84.7. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-27 + 18)*(-22)\/3. Suppose -2*n - 194 = 3*n - 3*y, -108 = 3*n + y. Let c = l - n. List the prime factors of c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) 7\/10 (c) -0.06 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1014142 (base 5) in base 10?\nAnswer: -16797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 3318 + -8.\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 2 (c) 0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 254 a factor of 124973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 33 + -31. Suppose 18 = a - p*b, a + a = 2*b + 28. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9454 - 9454. Factor 0 - 2\/15*l**2 - 4\/15*l**3 - 2\/15*l**4 + m*l.\nAnswer: -2*l**2*(l + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.0267 - 0.083. Let s = -0.0562361 - r. Round s to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*h**5 - 639005*h**4\/2 + 30342830*h**3 - 60046675*h**2\/2 = 0.\nAnswer: 0, 1, 377\/4, 31855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 118270 rounded to the nearest one thousand?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 265197 = -3*a + 265176, 0 = a - 4*z + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-28)\/9919)\/(14\/49). Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -464*v = -40*v - 466577656. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from tuwctwwc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 686*v**3 - 7*v**2 + 3*v - 70. What are the prime factors of a(4)?\nAnswer: 2, 3, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000660044036 to 7 decimal places.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 55451958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6452 - 6292. Solve -h = -18*v - 214 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w**3\/3 + 224*w**2\/3 + 154*w - 228 = 0. What is w?\nAnswer: -3, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2 + 1. Let o(c) = 2*c**3 + 2*c**2 - 3*c - 1. Let k(n) = -2*n**3 + 5*n**2 - 2*n + 5. Let u(a) = -k(a) + o(a). Calculate -u(t) - 3*z(t).\nAnswer: -4*t**3 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1119*k - 4 + 27 + 321*k - 3533*k.\nAnswer: -4331*k + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 PM and 2:31 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the third derivative of 107*x**5\/60 - x**4\/24 + x**2. Let r be (-2)\/(1 - 11) + 44\/(-20). Let b be a(r). Round b to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in 6\/7*t**2 + 0 - 2\/7*t**3 + 8\/7*t = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -26a2 (base 11) to base 9.\nAnswer: -4718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -171813496 divided by 21476687\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is j in j**2\/2 + 6751*j\/2 + 3375 = 0?\nAnswer: -6750, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 7 = 5. Suppose -b*p = -p + 3. Is 235*(p + 4)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 6. What is the remainder when 27\/6*(-8)\/(-6) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 34043 and 7788?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*b + 20. Suppose -21129881 = -b*t + 53870119. Suppose t = -5*c - 0*c. What is c rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 149677101 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*u + 25 = -248. Suppose -14*v + u + 637 = 0. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1, 5, 11, -4, 947\/2, -0.5 in descending order.\nAnswer: 947\/2, 11, 5, 1, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 114\/57*((-459)\/(-18))\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 65304 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-22) - (-3)\/44. Let a(z) be the first derivative of u*z**2 - 2 + 7\/20*z**5 - 1\/4*z + 1\/6*z**3 - 1\/12*z**6 - 1\/2*z**4. Factor a(c).\nAnswer: -(c - 1)**4*(2*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 38*l**2 - 236*l + 13. Give i(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*i**3 - 140*i**2 + 208*i - 80.\nAnswer: 4*(i - 10)*(i - 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-100*a + 6*a**2 + 100*a)*(-1 - a**2 + 1) to the form c*a**3 + g + z*a**4 + n*a**2 + w*a and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 415? (a) 0.1 (b) -1\/4 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.0368 + -0.0388. Let h = m + -0.29. Is 1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -40 + 47. Let y(d) = d**2 - 8*d + 2. Determine y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1344679451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 9 - (-2 + (1 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*s**3 - s**3 + 14*s**3 - 3*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 805856 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 192 = -4*z + 5*z, 0 = -3*z - 4*y + 589. What is the remainder when z is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 968625.4 micrometers to nanometers.\nAnswer: 968625400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 237 by 9937.\nAnswer: 237\/9937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 141 and 5593.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -7*c - 20. Let p be 0\/(c - -5) - -21. What is the highest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6505 + (-4 + -2 + 10)*1. Suppose 19*a - 1490 = x. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630974.4 millennia in months?\nAnswer: 7571692800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1190940 and 334844.\nAnswer: 115521180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 580278 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -v + 19, -2*d - 3*d + 9 = -v. Suppose 0 = 4*c - 5*s - 386, 0 = 5*c - 3*s + 7*s - 503. Calculate the highest common factor of c and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1003, 17, -6 in descending order.\nAnswer: 17, -6, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 88168 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from dqeaxdeadxdqe?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -102102 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8523208 divided by 4.\nAnswer: 2130802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 8891143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**2 - s - 113. Let r be q(0). Let t = r + 113. Find o such that -1\/4*o**2 + 1\/4*o**4 + 0*o + t*o**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - v = 147, -2*l - 570 + 633 = 3*v. Calculate the remainder when l is divided by ((-6)\/8)\/(12\/(-144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 311555532?\nAnswer: 2, 3, 17, 73, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 3 - 5 + (-3 - 1 + 5)*(1 - 5 + 5) + 2 + 0 - 4)*(-b - b + 3*b) + 2*b - 5*b + 2*b to g + a*b and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of -s**7\/210 + s**6\/120 - 39*s**2\/2 - 20. Let n(i) be the second derivative of v(i). Determine w, given that n(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00006508 to 7 decimal places.\nAnswer: 0.0000651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12670933 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/1 + 4\/3*165\/(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -k - 4*o - 5, 15 = -3*k + 5*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 14 = -10. Suppose 0 = -2*o - 6 - z. Let c be o\/(-9) - 80\/(-6). What is the highest common divisor of c and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 105 + -80 + 1 + 8 - (-9 + -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 756 + -464. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 334 divided by 167\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4\/7, -3\/4, 1.3, 3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -c**2 - 19 + 21 - 14*c + 2*c**2 to h*c + z + o*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -310, -605, -900, -1195?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -12787822093.1 and -0.5?\nAnswer: 12787822092.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {t: 1, c: 3, b: 4, s: 4, q: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -2*t + 5, 5*r + 5*t = 61 - 11. Suppose -r*p - 12 = 3. Let k(q) = q**2 + 4*q - 1. Determine k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 2*c - 12 = 0. Suppose -3*y + 32 = -c*u, -27 + 79 = 4*y - 5*u. Find m such that -2*m - 8 - 4*m**5 + y*m**3 - 8*m**4 - 2*m + 0*m + 16*m**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (64\/1536)\/(1\/(8\/(-6)))*12915\/(-1722)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 + -3. Find the common denominator of (-218)\/(-24)*(-1 + o) and 53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + (1587\/(-21) - 4). Let u = q + 78. Calculate the common denominator of u and (-238)\/77 - 4\/(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.5 + -3. Let q = -152640 + 610551\/4. What is the second smallest value in q, h, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:39 PM and 11:43 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rurr when four letters picked without replacement from urururrurkurrrururru.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 + -41. Put -0.5, 0, b in decreasing order.\nAnswer: 0, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 2 r when four letters picked without replacement from {z: 2, r: 17}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 396 and 48.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/26944704 and -113\/13392?\nAnswer: 26944704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of y**4\/12 - 7*y**3\/6 - 3*y**2 - 6*y. List the prime factors of k(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppiy when four letters picked without replacement from ippfffaiiffyf.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the second derivative of -t**4\/12 + 7*t**3\/6 + t**2 + 2*t. Let a = -4 + 8. What is the least common multiple of v(6) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0014606563 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24 + 10432\/489)\/(4\/66).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 + (-4 - 0) + 0. Suppose 0*q = -6*q + 24. Suppose f = -q*k + 18 - 2. Solve -d = 3*y + k, -d + y - 4 = -y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 338.2 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 18.04 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**2 + 2625*o.\nAnswer: -5*o*(o - 525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 12) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/8*4\/10. Let i = -415 + 189. Let y = i + 225. Is y at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 1. Suppose 5*d + 3*q - 2*q - 115 = n, 5*d = 5*q + 115. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 5*(sqrt(117)*1)**2*2.\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -831 (c) 1\/20 (d) -0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 995585141.\nAnswer: 2003, 497047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -5123516 take away -217?\nAnswer: -5123299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9206 + -4100. Let h = 5105.97807 - g. Round h to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 3*n + 24. Let h be y(-14). Let a = h + 18. Let d(b) = -b**3 - b**2 - b + 4. Let t be d(0). Solve -i - s - 4 = -a*s, 1 = -t*i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*b + b - 4*b + 7*b**2 to the form u*b + w + s*b**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -4*s + 236. Is 5 a factor of o(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*x + 7*x - 9*x + 10*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2699*m + 2926*m + 4274*m + 2001*m + 4520*m to l*m + z and give l.\nAnswer: 11022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -8 minus 6.9446?\nAnswer: -14.9446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1034032+-0.6\nAnswer: 1034031.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 73851 and 4220013.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -10*i - 10. Let c(t) = -7*t + 11. Let a(p) = -20*p + 31. Let j(z) = 6*a(z) - 17*c(z). Let m = 6 - -6. Give m*j(o) - b(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - -5. Suppose -11 = o*k - 3. Let c = -3\/4 - -5\/4. What is the nearest to c in k, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -25, -23\/5, 0.3, 5, -39, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 5*w = 44, 0 = -4*l + 2*w + 3 + 29. Calculate the lowest common multiple of l and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 20006, -114, 0.\nAnswer: -114, 0, 20006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vhhhavhvhhhavv. Give prob of picking 2 v.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -2*t - a, -3*t - 8*a - 15 = -11*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p - 127 + 267 = 0. Solve 7*r = -3*r - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 170 = 3*l - 3*z, 0 = -2*l + 3*z + 117. Let k be (-76 - -82)*2\/((-4)\/(-19)). Are k and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 8, c: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the second derivative of 23*y**3\/6 + 7*y**2 - 6*y. Let d(p) = -11*p - 7. Let w(i) = -2*b(i) - 5*d(i). Differentiate w(s) with respect to s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 14 = -8*a + 4*a, 0 = -3*g - 2*a - 13. Let p(h) = -3*h - 4. Let i(r) = r**2 + 7*r + 8. Calculate g*p(o) - 2*i(o).\nAnswer: -2*o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o + 1. Let y be (-6)\/4*(-52 + 54). Let v(r) be the third derivative of -3*r**4\/8 - r**3\/2 + 3*r**2 - 6. Calculate y*z(d) - v(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-8) + (7\/(-4))\/1. Is d smaller than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + 115 = 17*n - 16*n, 10*w - 6*w - 92 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = -4*j + 8*j - 2*o, -3*j - 3 = 3*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1\/4))**(2\/11)\/(a\/(a*a**0))**(-32)*(a*(a\/a**(-1))\/a*a\/a**(-4))\/(a\/((a\/a**4)\/a)*a\/(a*a\/((((a**2\/a)\/a)\/a)\/a))) assuming a is positive.\nAnswer: a**(109\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -208728, -208733, -208738, -208743?\n\"Answer: -5*g - 208723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8022450?\nAnswer: 2, 3, 5, 79, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 8*c**2 + 223*c + 1784. Let g be f(-8). Sort -14, 5, 2, g, -17.\nAnswer: -17, -14, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21641 - -21641.3. What is the closest to -2 in 1\/3, -0.006, j?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 11:29 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 1 = 2*h - h, -3*h + 5*p = -5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum -1 and 2197436.\nAnswer: 2197435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 279419817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 203\/203*4\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 822565 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.2 - 1. Let u = 7 - 6. Do u and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 + ((-6)\/(-5))\/((-21)\/70). Solve -4*n + 14 = l*u, -n - 5*u + 27 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(45) - (1 + sqrt(45))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2016343\/6 + -334306. Let u = a - 1734. Calculate the common denominator of -67\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-5) - (-46)\/65. Let y = -26629 - -26628. Which is the nearest to 1\/3? (a) 1\/6 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 160*b**3 + 400\/3*b**2 + 4\/3*b**5 + 28*b**4 + 0*b + 0.\nAnswer: 4*b**2*(b + 1)*(b + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + (4 - -2) + 11. Let y be 80\/r + 8\/28. Find the third derivative of 5*g + 2*g**6 + 2*g**y - 5*g + 4*g**2 wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(6)\/(sqrt(15)\/sqrt(5)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/564 and -151\/861510.\nAnswer: 1723020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*q**2*w**3 + 3*q**2*w**2 - 13*q*w**3 - 22*w wrt w.\nAnswer: 12*q**2 - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 43.5047607 rounded to three decimal places?\nAnswer: 43.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = -15, 2*p + p + 2*w - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 11172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 642 and 10027398.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.2 - -0.1. Let o = -0.5 + x. Let a = -3 - -2. Is o < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21 and 583161.\nAnswer: 4082127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 times -232.8?\nAnswer: 6.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be -30 - -24 - -2*95. Calculate the highest common divisor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -16 + 38 - 2*h - 22. Let b(t) = 15*t - 8*t + 29*t. Determine d(b(l)).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2\/5 + 25946*r\/5 - 25944\/5.\nAnswer: -2*(r - 12972)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 20796184 and 90241?\nAnswer: 2911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 14334 (base 8) to base 3.\nAnswer: 22201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-368)\/(-46) - (-1 - 2). Suppose -15 = 5*m - 2*m, 0 = -4*b - 3*m + 1. Solve 3*d = -b - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41170 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 2307 divide 25131329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) -20 (c) -18 (d) -0.57 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 10232383*i + 7051191 wrt i?\nAnswer: 10232383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -2517 by -6.\nAnswer: 839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (11 + (4 - 4) + -4 - -4) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 818244.\nAnswer: 2, 3, 7, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, e: 2, p: 1, a: 1, l: 2, v: 1}. What is prob of picking 1 v, 1 l, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**(-2\/9))\/t*t\/(t\/t**(-1))*t**(4\/9)\/t**(2\/11))**(21\/5) assuming t is positive.\nAnswer: t**(-119\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 7:12 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) 450 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from ccccchhccc?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**6*k)**(-11\/4)*k**(-3\/7)*k**16 assuming k is positive.\nAnswer: k**(-103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 68317?\nAnswer: 53, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from {z: 1, g: 3, x: 7, d: 4, k: 1}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(28)\/sqrt(4)*6 - (sqrt(42)\/sqrt(2))\/sqrt(3)).\nAnswer: 4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes before 5:15 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0056839397 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.191 - -0.041. Sort 1\/4, v, -0.3 in decreasing order.\nAnswer: 1\/4, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1782 and 972.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -75826.11 - -75826. Let k = -77\/3 - -25. Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 44887051 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v + 10. Let o be k(9). Let g(x) = 7*x**2 - 2*x + 1. Let z be g(o). Find the common denominator of -29\/10 and 32\/(-2 - 16\/z).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -275, -281, -285, -281, -263, -225, -161?\n\"Answer: q**3 - 5*q**2 + 2*q - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 13582*u**3 - 11*u**2 - 36*u - 155. Let j be o(-5). Round j to the nearest ten thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -2*d - 7. Calculate r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 63 and 132?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 23058276?\nAnswer: 23058276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**2\/11 - 24*b\/11 + 26\/11 = 0 for b.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h + 5*h - t + 118 = 0, -5*t - 222 = -4*h. Calculate the remainder when h is divided by 1*2 - (-11)\/((-55)\/(-130)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/2232 and 25\/2709.\nAnswer: 671832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - 15*k**2 + 27*k + 37. Suppose i = -4*i + 190. Calculate the least common multiple of u(3) and i.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -18*(-4 - -2)\/4. Let p be k\/2 + (-2)\/4. Find the third derivative of -q**2 - q**p - q**2 - q**4 wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jeewejjjeeweeeje. What is prob of sequence jje?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.8 * -0.9.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and 0.004.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 + 6*j + 93. Let v be i(13). Let k be -16 + 16 - -2*(-1 + v). Solve -k*d + 7 = 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*f = -19*f - 6399. Calculate the lowest common multiple of 24 and f\/27 + 10 - 1\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the first derivative of u**4 + 5*u**2 - 10. Find the second derivative of i(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4562165811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 5483960 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) -57\/14 (c) -0.0354012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-84)\/56)\/(4 - (-432920)\/(-108224)). What is the greatest common factor of 380 and u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0.5 (c) 0.16 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2795926 is divided by 689?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, p: 13}. Give prob of sequence ssp.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 17749.3869 milliseconds in weeks?\nAnswer: 0.00002934753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aoj when three letters picked without replacement from {j: 12, a: 1, o: 7}?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 6 - (2 + 2) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x - 7. Let v be b(9). Let q = v + -4. Which is bigger: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000593124751 to five dps.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14*s - 23*s**4 + 28*s + 7*s + 24*s wrt s?\nAnswer: -276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -29, 1, 24, -6 in ascending order.\nAnswer: -29, -6, -3, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/17, 3\/32, 0.13, -4\/5?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 10:45 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of -f**3\/3 + 7*f**2\/2 + 104*f + 1. Let z(n) = 2*n. Give z(g(s)).\nAnswer: -4*s + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -x**6\/60 - x**5\/6 - 2*x**4\/3 - 4*x**3\/3 + 9*x**2 - 3*x - 14. Let k(r) be the first derivative of g(r). Factor k(p).\nAnswer: -2*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = 2*w - 39543 + 39534, -6*j - 3*w = 2*w - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Is 2549304 a multiple of 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10\/33 in -42\/19, -2\/7, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2441, -2331, -2141, -1865, -1497?\n\"Answer: b**3 + 34*b**2 + b - 2477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.0175 + -3.0175. What is the second smallest value in 1\/3, w, -5\/2, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 405 = 109*j - 1378 - 1705 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.123948 litres?\nAnswer: 123.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -8271299701 to the nearest one million.\nAnswer: -8271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 49637, 397137, 1340355, 3177149, 6205377, 10722897?\n\"Answer: 49643*n**3 + n**2 - 4*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**3 - p**2 + 2*p. Let c be n(4). Let x = 23 - -10. Let y = c - x. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6748715823 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 11) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/2007 and 15\/223.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s**2 - 16372*s - 840160. Determine a(-51).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.065 - -2.065. Let n be ((-4)\/(-2))\/((-4)\/42). Let s be 2\/7 - (-13)\/n. Which is the second biggest value? (a) -6 (b) -2\/3 (c) y (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1814?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 3*i + 3 = 0, i = -5*o - i + 21. Suppose o*c - 127 = 11. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 71.83984ug to tonnes.\nAnswer: 0.00000000007183984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4\/6)\/((-6)\/(-9)). Let u(z) be the third derivative of 300001*z**6\/120 - z**3\/6 + 3*z**2. Let v be u(x). Round v to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 222 - 61. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -382, -378, -362, -328, -270, -182?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(((-24)\/36)\/((-1)\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7266983?\nAnswer: 1889, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 88588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1723 (b) -15 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s + y + 1, 7*y - 4*y = 5*s - 3. What is the units digit of (s + -1*63)\/(27\/(-108))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4667)\/(-195) + -24 - 3601\/(-15). Calculate the highest common divisor of c and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1162238 is divided by 3887?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -130055 by -6.\nAnswer: 130055\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 84.776 + -84. What is k rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12533562397*p + 12533562386*p - 25067124785*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12620 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 4, h: 1, q: 3, i: 3, y: 3, m: 2}. What is prob of picking 2 y, 1 i, and 1 h?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-121)\/66 + 1\/(-6). Let q(x) = -2*x + 2. Let s(o) = 2*o - 2. Let d(u) = 2*q(u) + 3*s(u). Calculate d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 375*d - 368*d - 2044 = 0. What is the highest common divisor of 219 and d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1844*t**4 - t**2 + 18?\nAnswer: 44256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6501218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.27 and 37.95?\nAnswer: -48.1965","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 9. Suppose -2*s - 1 = -k. Solve 11 = 5*z + s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4496 - 14640?\nAnswer: -10144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 33*m**3\/4 - 68601*m**2\/4 - 192786*m - 34485 = 0.\nAnswer: -11, -2\/11, 2090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-20)\/(-5) - 8)*-4. Solve -s = -5*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23764820461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -7. Suppose r - 5*z = 4*r - 49, 0 = -z + 2. Let p = a + r. What is the highest common divisor of 153 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*p = 279 + 337. Calculate the smallest common multiple of p and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yrmp when four letters picked without replacement from {p: 1, r: 1, m: 1, d: 11, y: 1}.\nAnswer: 1\/32760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -315\/178 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 452*r = 262*r - 760 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1, 2\/1839761, 0.3, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 189, 187, 183, 177, 169, 159?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of 4*j**5\/5 - 4*j**3 - 4*j**2 - 75. What is m in z(m) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y - 15. Let n be a(6). Let t be (10 - 1)*2\/3. Suppose -r = t*c - n*c, -3*r - 4*c = -5. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*s**2 - 2*s**2 + 2*s**3)*(5 - 2 - 1)*(-2*s + 0 + 0 + (4*s - 2*s + s)*(-3 + 0 + 4) + 0 + 0 - 2*s) to t + l*s + a*s**4 + w*s**3 + c*s**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bffbqssffa. What is prob of sequence as?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134074.\nAnswer: 2, 43, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -865, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -3*l**4 - 165*l**3 + 1497*l**2 - 987*l - 2646 = 0.\nAnswer: -63, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-3)\/252*7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32627?\nAnswer: 7, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -79\/17557 or 0?\nAnswer: -79\/17557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**0\/x*x)\/x)\/x*x)**(-24)*x**(-8)\/x*x**(1\/5)*(x*x\/(x*x*((x\/(x**7*x))\/x)\/x)*x**(-11))**(-11) assuming x is positive.\nAnswer: x**(186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 315781 - 504311. Let k = -428530 - o. What is k rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 1 = -11. Let h = l - -10. Solve 0*c - 4*c - h = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -36*y**2 + 5824*y + 118080.\nAnswer: -4*(y - 180)*(9*y + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*x**2 + 13*x**2 - 24*x**2 - 8*x**3 + 6*x**2.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 2*q - 89*q**2 + 6*q - 79*q**2 + 246*q**2 - 93*q**2 + 4*q.\nAnswer: -15*q**2 + 12*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 1664793003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 263045 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*a*n + 27451058*a - 87031658*n with respect to a.\nAnswer: -2*n + 27451058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, 1\/14, -1\/6, 2?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 218.1 take away 330478?\nAnswer: -330259.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add together 25615433371 and -0.17.\nAnswer: 25615433370.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 + 11*x**2 - 10*x + 35. Let c be k(-12). Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 44*z = 3, -5*l - 5*z - 98 - 102 = 10 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -70 + 29. Let h = 45 + v. Suppose 3*q + 3 + 8 = -5*n, h*q = -n + 8. Let d(b) = b**2 - 2*b + 4. Determine d(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7298752ml to litres.\nAnswer: 0.0007298752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 61 - 35. Suppose 25*d + 26 = v*d. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes after 8:04 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -11853.35743 rounded to the nearest 100?\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 - 11. Suppose r + 7 = 4*z, 2*z - i*z + 1 = -3*r. Let m be (1\/6)\/(r\/3). Which is the nearest to -1\/4? (a) -4 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269498660 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**3 + 10*z**2 - 10*z + 14. Let y be v(-11). Let x be 3\/9 - (-31)\/(-3). What is the units digit of (-30)\/25*x\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1202031 (base 4) in base 9?\nAnswer: -8553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19957 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19\/373 + 544\/3357. Which is the third smallest value? (a) 16 (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -181 + 255. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*a + 26 - 26)*(-2*a + 2*a + a + (-3 + 3 - 2)*(0*a + 0*a - 2*a) - 3*a + 2*a - a + 4*a - a - 2*a) to the form u*a + g*a**2 + k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -198463*0.063.\nAnswer: -12503.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5006, 19904, 44734, 79496, 124190, 178816, 243374?\nAnswer: 317864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3465178 divided by -1732589.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:04 PM and 1:15 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2 + 0)\/((-34 - -25) + (-597724)\/(-66414))?\nAnswer: 2, 3, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the third derivative of m**5\/60 + m**4\/6 - m**3\/6 - 4*m**2. Let h(i) = -i**2 - 1. Let p(d) = 2*h(d) + v(d). Determine g so that p(g) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*t = -109 + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*s - s**2 + 6*s + 19*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 - 10*y**2 + 5*y - 2. Give z(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -113582*j + 43955*j - 96805*j + 3287*j - 110003*j.\nAnswer: -273148*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 59806 * 2627\nAnswer: 157110362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -66 - -65.35. Let y = 0.95 + i. Which is the second biggest value? (a) -1 (b) 0 (c) -2\/19 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12173 - 85201\/7. Do -8 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2220799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -321*q = j + 2*j - 324*q + 6, 3*j + 4*q + 27 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 36 and 2366780364?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the third derivative of f**5\/60 + 5*f**4\/3 - 32*f**3\/3 - 56*f**2 - 2*f. Let l be a(-42). Solve -4*z = z - l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**2 + 3*g. Let q be i(3). Solve 2*s + 2*h + 6 = q, -3*h - 6 = -3*s - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -60, -49, -24, 21, 92?\n\"Answer: q**3 + q**2 + q - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -1 + 3 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2886381843, -2886381842, -2886381841, -2886381840, -2886381839?\nAnswer: -2886381838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 53 = -47. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*y + 18 = 4 + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 8969205979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 428552?\nAnswer: 2, 53569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49 = -5*k - 4*b, 4*k + 3*b - 15 = 24. Let j(p) = -6*p - 3*p - 14*p - 2*p**2 - k + 42. Calculate the remainder when 62 is divided by j(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 - 10. Suppose 0 = -h*p - 2*p. Determine s, given that -2\/5*s**2 + p + 2\/5*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 489 by 163.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 62, 53, 30, -13, -82, -183, -322?\n\"Answer: -q**3 - q**2 + q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35 and 20965?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(130) + -1*sqrt(130)*6)\/((-1*sqrt(100))\/sqrt(10)) + (((sqrt(13) - sqrt(26)\/sqrt(2)) + -1 + sqrt(117)\/sqrt(144))*4)**2 + 5.\nAnswer: -3*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.18 + -28.18. Let u = 27.22 + c. What is u rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 340552, 340547, 340540, 340531?\n\"Answer: -k**2 - 2*k + 340555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(-18) - (-110)\/9. Let u(s) = s**3 - 12*s**2 + 2*s - 11. Let l be u(a). Suppose 2 = o - l. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 - -12. What is the nearest to 0 in k, 0.4, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16552, -33107, -49662?\nAnswer: -66217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times 1903397.5?\nAnswer: -1903397.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sum -2409 and 0.421.\nAnswer: -2408.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l**2 + 4*l + 4. Suppose -2 = -2*m, 3*h - 5*m = -0*m - 227. Let z = -46 - h. Calculate the remainder when z is divided by r(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.16662 - -13.\nAnswer: 13.16662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 7 + (-29 - (-18 + 4)) + 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -3*c**3 + 7*c**2 + 16*c + 49. Determine t(5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10870303\/15 - -724969. Let j = -284 + c. Calculate the common denominator of -71\/8 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 15, e: 5}. Give prob of picking 2 d.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*y = 13*y + 6390. What is y rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes after 6:22 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/10064? (a) 5 (b) 4\/5 (c) 2 (d) 3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 32560 + -5400?\nAnswer: 27160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 + 30*r + 39. Let q be i(31). Let d = 4\/113 - 278\/1469. Which is the closest to 0? (a) d (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-5508)\/(-21) - -3 - (-4)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 26 = 208*c - 203*c, -3*r = -2*c - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1449159.3 + 1449115.300015. Let m = 44 + o. Round m to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -320 - -10124?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -564.\nAnswer: -1\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 57\/798*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 176 and 5104.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -93, -185, -277?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -8*d - 8. Let h(i) = i + 1. Let m(f) = -20*h(f) - 2*k(f). Let a be m(-6). Is 19 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/35*-23 - 4\/6. Let k = a + -3\/35. What is the second biggest value in k, -4, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*h + 5*h + 169. Solve 0 = -3*n + 5*z + 35, -5*n - z = 2*z - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0154038 hours in microseconds?\nAnswer: 55453680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -99 + -245023a?\nAnswer: -2450328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 2*k - 12. Let x be g(8). Suppose -x*r - 4*b = 0, 5*r - b = 3*r + 12. Suppose r*z - 34 = 102. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + 6. Let u(h) = 3*h**2 - h - 2. Let j be u(-2). Suppose -2*m = 3*z + m - j, 5*z - 20 = 3*m. Solve -3*s - s = -2*l - o, z*l + 2 = 2*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + (-32)\/(-12))\/(5770\/960 - 6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -415, -431, -445, -463, -491, -535, -601?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 42\/22165?\nAnswer: 42\/22165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66) + (-2*sqrt(66) + sqrt(66))*-1 - ((sqrt(66) - (sqrt(66) + sqrt(66)*2 - sqrt(66))) + sqrt(66))*6)\/(((3*sqrt(66) - sqrt(66))*1)\/sqrt(11)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -40 + 185*k + 22 + 18 to the form d + q*k and give q.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5393, 5390, 5387?\nAnswer: 5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.6848983 nanoseconds to hours.\nAnswer: 0.00000000000241247175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/164 or 0.3872408?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 183 divide 1255393725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131*o - 87*o + 350*o - 132*o + 5*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 58961867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97.45542*-0.3.\nAnswer: -29.236626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2905 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -47*y + 1265. Calculate the remainder when 11607 is divided by k(26).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 57 + 2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**4\/24 - 2*p**3\/3 - 4*p**2. Let x be q(-4). Solve x = -2*b + 10, -b - 15 = -3*r - 4*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/(h\/(h*h\/(h\/(h\/(h\/(h*h*h**(-15)))))*h*h))*(h*h**(-5\/9)*h*h*h*h*h*h)\/h*h assuming h is positive.\nAnswer: h**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -117.9 + 100.3. Round m to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001144 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -s - 5, 0*f + f = -3*s + 5. Let j = 1 - f. Find the common denominator of 7\/5 and j - 2 - (-134)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3897.831 plus 0.17?\nAnswer: 3898.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -2.41 > -8861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 168 + -622. Let k = i + 490. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 347*m - 6597. Calculate n(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1133808 divided by 78?\nAnswer: 14536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -151 + 1276758?\nAnswer: 1276607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/6499655 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2238 and -37174088?\nAnswer: 37176326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -549 = -13*x + 88. What is the remainder when 486 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 561\/(-360) - (-6)\/(-9) and -13\/35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from gxisgxigggg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3 - 4\/(2 + -4). Let m be k\/6*4 + (-24)\/(-9). Is -0.61 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*a - 2475 - 33*a + 101*a - 28*a.\nAnswer: 2*a - 2475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, z: 2, b: 11}. What is prob of picking 1 o and 1 b?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 5)*(0 + 0 + 2*q) - 79*q + 211*q + 369*q + 79*q - 71*q.\nAnswer: 511*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -102824 - -249015. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/120240 and -95\/309618.\nAnswer: 12384720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 102 - 7*m - 5*m**3 - 102 to n + g*m + h*m**2 + q*m**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**2 - 28*c - 2. Let f(o) = -4*o**2 - 84*o - 7. Calculate 2*f(z) - 7*w(z).\nAnswer: -z**2 + 28*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 4*f**2. Let g be j(1). Suppose -3*c = 3*v - 6, 6 = 3*v - 821*c + 817*c. Solve 0 = v*d + g*x + 4, 4*d - 4*x + 2*x = 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 5*w - 15. Let l be v(6). Let y(k) = 9*k**2 + 7*k**2 - l*k**2. Let c(n) be the third derivative of n**5\/60 - n**2. Give y(c(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4660.2 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2849*u**3 + 345*u + 1?\nAnswer: -17094*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bj when two letters picked without replacement from jcabccbcbzb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**3 + 0*b**3 + b**3)*(-b**2 + 2*b - 2*b) - 4*b**2 + 4*b**2 - 2*b**5 + 2*b**5 + 3*b**5 - b**5 + (111*b - 111*b + 8*b**3)*(-2*b**2 + 0*b**2 + 7*b**2).\nAnswer: 41*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j - 2*j + 2*j)*(-7 + 0 - 11)*(j**2 - 2*j**2 - j**2)*(-j - 2*j + 2*j + (j + 1 - 1)*(-1 + 2 - 2)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 56953 + 60078. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 + 34*d - 3. Let a(m) = -5 - 99*m**2 + 69*m + 194*m**2 - 94*m**2. Let f(n) = -3*a(n) + 5*l(n). Find the second derivative of f(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 1:08 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 18*d**2 + 28*d - 14. Determine x(-17).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -128a2004 - -5?\nAnswer: -128a1ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 45*i - 4. Let a(q) = 30*q - 112*q + 50*q + 29*q. What is j(a(o))?\nAnswer: -135*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 m when four letters picked without replacement from {m: 2, e: 2, u: 2, r: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -24*y - 2. Suppose -4*k + 0 - 4 = 0. Let g be x(k). Calculate the least common multiple of (g\/33)\/(1\/33) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*n**4 + 81*n**3 - 561*n**2 + 1071*n - 594 = 0. What is n?\nAnswer: -33, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5136 and 856.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -g - 4*y + y, -2*g = 5*y - 13. Let d(a) = -a**3 - 7*a**2 - 6*a + 4. Give d(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*c**2 + 35*c**2 + 113*c - 115*c)*(-10 + 63 + 31).\nAnswer: 4200*c**2 - 168*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -240501, 0 in ascending order.\nAnswer: -240501, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1126, -2248, -3366, -4480, -5590?\n\"Answer: 2*t**2 - 1128*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes before 5:32 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of 9*r**3\/2 - 1966*r. Let j(u) = -u**2 - 8*u - 9. Let w be j(-6). Let t(p) = -p - p + w*p. Determine q(t(b)).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**3 - 68*w**2 - 65*w + 310. What is the lowest common multiple of 42 and m(-67)?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 6*k + 144 = 0. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 64213 and 0.413.\nAnswer: 26519.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6249*y**3 - y**2 + 658 wrt y?\nAnswer: -37494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 42540\/1205300*5*1\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2197 + 218?\nAnswer: 23b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*w - 8 + 48 = 0. Calculate the greatest common factor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1110 and 98358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 14*n**2 + 96*n + 1. Let d(y) = 9*y**2 + 64*y + 1. Let a(r) = -5*c(r) + 8*d(r). Let p be a(-16). Solve -5*m + 3 = 5*q - 4*q, q - 4*m = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 5. What is the units digit of h*(-2 + -7 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c - 9. Let l be q(-8). Let x be (0 - l)*(-1 - -1). Suppose 4*o = 4*b + 108, x = o + 4*o + b - 147. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h - 4*h + h)*(-326*h**2 + 102*h**2 + 167*h**2).\nAnswer: 285*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 0 = -10. Let o be 43\/86 + 6\/4. Let -3*h**4 + 23*h - 3*h**2 + 4*h - 5*h**o - 15*h**3 - h**p = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 408 - 2928 = -115*y - 137*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.01 - -0.04. Let i = o + -0.23. Which is the nearest to 0? (a) 0 (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 117*z + 17. What is w(1)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*n + 8. Suppose -45 - 184 = 3*f - 5*a, f = n*a - 77. Is -75 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19123?\nAnswer: 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 5*v = 3*v - 549, 4*w - 2*v + 746 = 0. Let q be w\/(-15) - 2\/6. Calculate the highest common divisor of 108 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 6*b + b - 21, 5*c + 5*b + 5 = 0. What is the remainder when 2\/7 - (-12)\/42*20 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 733372 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -15*p + 2. Let y(o) = -255*o + 35. Give 70*q(z) - 4*y(z).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-10)\/8*(-8)\/2. Suppose -5*v + 376 = -x + 66, 3*v - 5*x - 164 = 0. Suppose -52 = -q*m + v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -63.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.079*119875\nAnswer: 9470.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 13184413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/1 + 3\/1. Suppose -h + c*m = 47, 5*h - m = -86 - 54. Does 15 divide 4\/18 - 399\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 533 + -539. Let q be 1\/6 + 1\/(-2). Sort 4, q, d, 0.2 in increasing order.\nAnswer: d, q, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - 101 + 104, -5*m + 1391 = 3*d. What are the prime factors of d?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 533475 (base 8) to base 6\nAnswer: 3451553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -55*a + 4*u + 200, -931*a + 929*a - 5*u + 33 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -123\/40 and 1798\/(-504) + (-4970)\/(-9310) + 4\/(-38).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 886000 and 800.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -0.4 at most as big as -851.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 3:07 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9.8 - -10. Which is the biggest value? (a) 4 (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -154 = 22*h - 242 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-33)*6\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 168\/15 - 2\/10. Suppose 1 = -4*r - q. Let s be (-4)\/(-12)*r*-248. What is the greatest common divisor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 PM and 12:30 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -170346 (base 12) in base 3?\nAnswer: -202001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 5 = 2*s - 56, 0 = 5*s - r - 144. Let l(t) = -4*t + 10. Suppose 2*w - 5 = 3*w. Let k be l(w). Is s at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*3\/(-12)*0\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnh. What is prob of sequence hn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2695600023)\/(-92) - (0 + 2\/8). What is s rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -33 in 43, 0.1, -13, -0.3, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 6*i**4 - i**3 - 8*i**4 + 1 - i - 4*i**2 + 6*i**4 in the form k*i + j + v*i**2 + m*i**4 + y*i**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -34*v. Let w(z) = 4*z + 3. Suppose -2*u - 5*q = 29, 4*u - 3*q = 2*q + 17. Let j(f) = -3*f - 2. Let p(g) = u*w(g) - 3*j(g). Calculate h(p(r)).\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 4*q - 3*q - o, 3*q - 65 = -4*o. Let a = q - 20. What is the remainder when 240\/a - (-4)\/(-14) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) 4 (c) 0.101 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + (-70)\/10)*(6 + (-2584)\/432).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*d**4 - 31925*d**3 - 95805*d**2 - 95815*d - 31940.\nAnswer: 5*(d - 6388)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from ltnssl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 3*u - 17. Suppose 9 - u = -2*c. Suppose c*b - 6 = -2. Solve i - 3*z + b = 0, 10 = 5*z - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/2804 and -109\/588.\nAnswer: 412188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, -15.7, 0.0407, 1\/4.\nAnswer: -15.7, 0.0407, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 25, -619, -5 in descending order.\nAnswer: 25, -5, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6*2\/4 - 0. Suppose 2*l - 2*a = 12, 4*a + 11 = g. Suppose 2*z + 31 = 2*v + z, 4*z + l = 0. Calculate the remainder when 43 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 + (28\/16 - 2). What is the third biggest value in 0.4, -3\/2, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.4 and -370.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101 - -10101000?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 159406.\nAnswer: 2, 13, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 2701214787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 + 15*c - 5. What is l(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*v = -4*l - 9 - 1, v - 20 = -5*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 35*c - 35*c - 33*c**3 + (43*c**3 + 18*c**3 - 50*c**3)*(-3 + 2 + 2) - 4*c**3 + 0*c**3 + 2*c**3 as h*c + i + t*c**2 + s*c**3 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w + 645 = -18395. What is the highest common divisor of w and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 212 by 4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-18)\/(-5) - 0)*10. Let r = -26 + n. Solve -4*m - m + r = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 + -5. Suppose -5*c + s = 10. Let n be -1 + c - (-1 + -4). Solve -n*d = 5*u + 18, 0 = 5*u - 2*d - 2*d + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 121 = -4*l - 3*s, -2*s - 122 = 4*l. Is 6 a factor of 3\/((-6)\/(-8)) - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 263986184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -69*d**3\/7 + 35736*d**2\/7 + 745548*d\/7 + 64560\/7 = 0 for d.\nAnswer: -20, -2\/23, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*j + 31*j - 729. What is the greatest common divisor of 45 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**3 + 13*y**2 + 13*y + 5. Let q be c(14). Let z = 7 + q. Let m(k) = k**3 + 3*k**2 + 4*k + 3. Let t be m(z). Are -3 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7440 = -2*z - 3*z. What are the prime factors of z?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -193 - -193. Suppose f + 16 = 3*p, -5*p - 3*f = -2*f - 24. Solve -5*m + k*m = p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 4*c - 9. Let k(r) = -r + 3. Let b be k(0). Calculate the highest common divisor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -2439 (base 16) to base 13\nAnswer: -42b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2075, 2290, 2521, 2768, 3031, 3310?\nAnswer: 3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3510 and 52455.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 7:40 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -178*r + 149. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 296b5 + -1009?\nAnswer: 286a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 25b924b (base 14) to base 13.\nAnswer: 3a01225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 3 - 2. Suppose p + 2 = n. Solve -5 = -n*x - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y - 59. Give w(-35).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 655181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*i**3 + 7*i**3 - 6*i**3 + 2*i**3 + 4*i.\nAnswer: 16*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**3 - w + 5. Let n be g(0). Solve h = -n*r, 4*r = -2*h - 0*h - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6\/11, 1\/5, -2\/23, 1 in increasing order.\nAnswer: -2\/23, 1\/5, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 2*u**3 - 13*u**2 + 28*u - 5. Determine t(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5807 - 2*m**2 + 12015 - 5707 - m**2.\nAnswer: -3*m**2 + 501","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.45 + 0.15. Let g = 0.1 - 0.1. Let p = g - u. Which is the closest to -0.2? (a) -5 (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -69797 plus 984?\nAnswer: -68813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-7 - 3)*1 + 1. What is the common denominator of -19 and v\/3 - (-250)\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 5*k - 106 = -487, -5*k = -4*c + 513. Let r = c + -122. Solve p = -s - r, 4*s + 2*p + 3*p = -45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of 0 + 0*x + 1\/3*x**4 + 0*x**3 + 1\/60*x**5 - 35*x**2. Let d(i) = 0. Calculate i.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 610534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (7 - (4 - -53)) + -8 + (12 - -3) + 3\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -7*j - 5*m + 27, 2*m = j - 9. Suppose -3*d + 8 = -d. Calculate the smallest common multiple of j and ((-48)\/(-15))\/(d\/10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168449 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -2090040 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l - 26. Let z be q(0). Let t = -24 - z. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of -1\/20*w**5 - 4*w - 7\/3*w**4 + 8\/3*w**3 + 0 - w**2. What is the second derivative of g(d) wrt d?\nAnswer: -6*d - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 25*a**2 - a + 1. Let v be w(1). Suppose 2*r + 17 = -4*d + 5*r, 5*d + 35 = r. Let l = d + v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 152*z - 25 = -147*z, -10*c + 4*z = -2*c - 44 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*k = -58*k - 256 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 482 + -472. Differentiate -3 - l + 29 + 14*n wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -4*f - 256. Determine s(-5).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 2)*(-2 - 4*c + 7*c + 0).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -70840 divided by -17710\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be -6 - (42\/(-7) - 0). Let g(a) be the first derivative of 1\/8*a**4 + 1\/20*a**5 + 0*a**2 + m*a**3 + 0*a - 6. Factor g(f).\nAnswer: f**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, z: 2, n: 2, v: 9}. Give prob of sequence zvo.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -18\/13? (a) -0.3 (b) 0.5 (c) -87 (d) 3\/2 (e) -0.189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-20)\/(-170) - 1102\/3876)*(-8)\/(-34)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -4 - -1 - -5*2. Suppose -8 = -w + u. List the prime factors of (-8 - -7)*(0 - w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.121 and -7.\nAnswer: -6.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -2*p**3 + 57*p**2 + 20*p + 549. Let b be o(29). What is the highest common divisor of b and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kvvvvvvvvvvvv. Give prob of picking 4 v.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, 1.1, 4, 0.1, -7, -168 in decreasing order.\nAnswer: 4, 1.1, 1\/5, 0.1, -7, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from wzpwpwzzpwwwwwwwppz.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 118 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.058996884 rounded to 6 decimal places?\nAnswer: 0.058997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 + 40*t + 436. Give w(-20).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - 3. Suppose 6*a = a + 15. Let m = -5 + 0. Sort n, m, a in descending order.\nAnswer: a, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-4)\/(-7))\/((-7)\/(-49)). Solve n = m*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t - 28 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -22197, 3, 56, -1, -5, 4 in increasing order.\nAnswer: -22197, -5, -1, 0, 3, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 87 - 101 = -221 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4897, 9792, 14687, 19582, 24477, 29372?\n\"Answer: 4895*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + k. What is the derivative of 1 + k*b - 2*b + 2*b - 3*b**2 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -266*n - 44609857 = -44579533 for n.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 2*i**2 + 2*i - 3. Let b be p(-3). Calculate the highest common divisor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + -7 + (46 - 24 - 7). Solve 5*q + 4*a - 12 = 0, 3*a - s = -3*q + a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*m - 10950 + 32846 = -423*m for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-138)\/60 + 56\/20. Let s(a) be the first derivative of -n*a**2 + 0*a - 2\/3*a**3 - 4. Calculate s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.036 - 0.086. Sort q, 1\/5, 2.\nAnswer: q, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1161, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 32 - 101. Let k = -51 - t. Calculate the least common multiple of 16 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -4*i + 13. Let s(l) = -2*l + 6. Suppose -14*k - 248 + 1032 = 0. Suppose -k*o = -63*o + 21. Give o*m(n) - 5*s(n).\nAnswer: -2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-15))**(-1\/13)\/(z**(-9)*z)**44 assuming z is positive.\nAnswer: z**(4591\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 16 = 5*f. Let m(u) be the first derivative of 1\/3*u**3 - 1 + 0*u + 0*u**f. Let l(t) = -3*t**2. Determine l(m(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 3:09 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of -p**5\/150 - p**4\/60 + 3*p**2\/2 - 3. Let g(a) be the second derivative of t(a). Find o, given that g(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 84545*y**5 - 198196*y?\nAnswer: 1690900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4260\/1553 - -104389996\/7765. Let b = t + -49851\/5. Let i = b + -3487. Find the common denominator of 5\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*w**3 + 6*w - 6*w**3 - 4*w**2 + 2*w**3 + 3*w**2 to z*w + v*w**2 + m*w**3 + k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -4*d - 4*z + 8, 5*z = 5*d - 40. Suppose -89 + d = -5*p - 5*m, -64 = -4*p - 5*m. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -4*a**2 + 7*a + 4. Let l(n) = -n - 1. Give h(q) + 6*l(q).\nAnswer: -4*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 766 = 9*l - 4*l - 2*w, 599 = 4*l + 3*w. What is the remainder when l is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-40))\/((4\/1)\/20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 + 11*q**2 + 15*q - 30. Let o be d(12). Let v be ((198\/2)\/(-9))\/(2\/o). Which is the third biggest value? (a) -5 (b) 2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 15909 and -1.\nAnswer: 15908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 195 divide 1870296554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3 (b) -6172\/5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of y**6\/18 - y**5\/15 - 3*y**4\/2 + 50*y**3\/9 - 47*y**2\/6 + 5*y + 920. Solve m(p) = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*f**3\/7 - 180*f**2\/7 + 654*f\/7 + 1980\/7.\nAnswer: -6*(f - 5)*(f + 2)*(f + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -488 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be 7\/((-14)\/(-4)) + 18. Suppose 0 = 4*s - 9*s + b. Suppose -l - s*l = -205. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010011111100000 - -1?\nAnswer: -1010011111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 474871460 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*q - 44*q + 5*q - 3*q.\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from xccexcelllc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20691?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be (16\/6*-3)\/(-2). Let q(a) = 294*a - 2. Let u be q(3). Suppose n*m - u = 3*m. Round m to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52085878.\nAnswer: 2, 13, 19, 105437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(21)\/(2*sqrt(3)) + sqrt(7) + 2 + -3)**2)*6.\nAnswer: -18*sqrt(7) + 261\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 23*q + 77. Let b be ((-21)\/4)\/(54\/(-72)). List the prime factors of u(b).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -2*t. Let p = 9 + -7. Let j be 2 + (-9)\/p*10\/(-15). Suppose -r = -j*l + 9, -r + 4*r = l - 13. Let m(a) = a. What is l*o(z) - m(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 1, y: 2, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3bf7 + 261a?\nAnswer: -15dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 616308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2124630939 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 23 + 0 + 10\/(-2) + 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2825686 divided by 238\nAnswer: -1412843\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 + 16*u**2 + 69*u + 44. Let a be c(-8). What is the closest to 0.1 in 3, 0.1, a, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 11 + -15 + -8 - 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 827.2 + -827. Suppose -3*b - 1 - 29 = 3*i, 0 = -5*i - 4*b - 46. Let v = i - -4. What is the closest to d in v, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 242818*y**3 + 726*y**2 + 760*y?\nAnswer: 1456908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 26080214 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -3*g - 12, -3*l - g - 11 = 3*g. Suppose 5*r - q - 21 = 0, -l*r - 4*q + 0*q + 8 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 709*k**6 - 28*k**4 + k**2 - 9619*k?\nAnswer: 85080*k**3 - 672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 15*a**2 + 6*a - 3. What are the prime factors of j(4)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of 7*t**4\/6 - 854*t - 2. Let w(n) be the third derivative of n**5\/20 + n**2. Calculate d(w(h)).\nAnswer: 126*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*i + 99 = 98*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4194 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -373, -1.\nAnswer: -373, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1008\/96*60\/36*(-4)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -8. Suppose -4*p + 60 = 5*n, -m*n - 5*p + 65 = 3*n. Suppose -2*q + 5*l = 3*l - n, 37 = 4*q + 3*l. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 481 + -474. Let b be 1\/s*(-25 - -39). Is b <= 11\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -d**3 + d**3 + 2*d**3 - 2 + 2 + 2*d**3 + (d + 3*d - 2*d)*(0*d + 0*d - 2*d**2) - 3*d**3 - 4*d**3 + 6*d**3 + 10*d - 8*d - 3*d**3 + 7*d**3.\nAnswer: 3*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 + 3)\/((-4)\/(-14)). Let v = -4 + s. Let i be 17\/v - 2\/3. Calculate the highest common factor of i and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1132448 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3382*g*j**4 - 91*g*j**2 - 6*g*j + 3966*g + 14793*j**4 - 2*j**2 + 3*j wrt j.\nAnswer: -81168*g*j + 355032*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14356 != 14514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3429 = -277*x + 178*x + 11052 for x.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65) - (sqrt(65) - -2*(2*sqrt(65) - sqrt(65) - sqrt(65))))\/((sqrt(5) + sqrt(5)*1)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 3*r**2. Let a(h) = 3*h - 3. Let w(t) = -t**2 + 2*t - 2. Let f(z) = -2*a(z) + 3*w(z). Determine f(k(c)).\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/5, -4, -0.092, 5?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*k**2\/5 + 26*k\/5 - 8\/5 = 0 for k.\nAnswer: 4\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.68*-41.2625.\nAnswer: -193.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 1538*k + 7687. Let a be b(-5). Sort 130, a, 5, 1 in descending order.\nAnswer: 130, 5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-8)\/8)\/((-2)\/190). Let p = 30 - j. Let y be ((-2)\/p)\/(13\/(-65)). Is y at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 102462.\nAnswer: 2, 3, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 65 + -37. Suppose -4*g - 2*p + 34 = 0, 4*g = -p - 3*p + q. Suppose -3*r - 12 + 102 = 0. Calculate the highest common divisor of r and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of -j**5\/150 + j**4\/5 + 13*j**3\/15 + j**2 + 131. Factor r(f).\nAnswer: -2*(f - 13)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 3*o + 8*o - 20, 8 = 2*u + 5*o. Suppose -t + 7*n = 4*n - 32, 0 = 4*t - 2*n - 138. Suppose 49 = u*k - t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 - 5. Let y(d) = -554*d**2 + 2 - 549*d**2 + 9*d + 1652*d**2 - 541*d**2 - d**3. Calculate y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108 is divided by 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 42.8 and 0.02?\nAnswer: 0.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -2*z**2 - 386*z - 7766. What is the remainder when 144 is divided by b(-23)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:15 AM and 2:07 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 87336 divided by -6.\nAnswer: -14556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 8, r: 5}. Give prob of sequence rprp.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -21*r**3 + r**2 - r - 1. Suppose -100 + 440 = 5*n. Suppose -n = -17*o + 68. What is the smallest common multiple of m(-1) and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 82563568 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1617)\/sqrt(3)*3.\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -299 - -887. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, k: 3, p: 1}. What is prob of picking 1 k and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**0\/(u*(u*u**(3\/5)*u)\/u))\/(u\/(u\/(((u\/(u*u**(5\/6))*u*u)\/u)\/u))*u*u**1)*(u\/(u**(1\/2)*u)*u**(1\/8))**(-48) assuming u is positive.\nAnswer: u**(427\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2231 = 5*x - 2824. Let d be x\/2*4\/6. Suppose 5*j - d = -37. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*k + 5283 - 4032 - 8*k in the form b + l*k and give b.\nAnswer: 1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/108 and 79\/635964.\nAnswer: 5723676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 3\/2 (b) -5 (c) 3 (d) 1\/22 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/16 (b) -524 (c) 1\/4 (d) -0.2 (e) -2\/25 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1909 + 1954. What is the remainder when 175 is divided by t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 167 = 2*s + 50, 2*s = -3*p - 67 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20583446?\nAnswer: 2, 13, 29, 27299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 - 4. Suppose -5*v = -4*m - 26, 5*v - 7*m - 2 = -9*m. Let i(j) = -9 + 0*j - v*j + 7 + j**z. What is i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**3 + 52*w**2 + 13*w + 5. Give s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27 + -26.53. Let d = 0.07 - b. Put -6, d, -2\/7 in decreasing order.\nAnswer: -2\/7, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/6 + (-13)\/(-3). Put -2, 0, s in descending order.\nAnswer: s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 AM and 9:49 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**3 + 9*f**2 - 8*f + 2. Let h be t(8). Let l be (-7 - -10)*202\/6. Let p(m) = -h*m + 101 - l. Let y(b) = 5*b**2. What is p(y(d))?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101 + 0*y**2 - 101 + 22*y**2.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m - 2. Let l(z) be the third derivative of -z**4\/8 + 5*z**3\/6 - 22*z**2. What is -4*l(g) - 10*u(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 100 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - -8)*(-594)\/(-27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 - (105\/(-4) + (-2)\/(-8)). Is (-2)\/r - 2428640\/(-928) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -207 divided by -7264\nAnswer: 207\/7264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of p**8\/6720 - p**7\/630 + p**6\/240 + p**5\/24 + 23*p**4\/12 + 12*p. Let y(g) be the third derivative of z(g). Determine y(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of x**6\/10 + x**4\/12 + 10*x. Find the third derivative of h(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 137*f - 32*f - 31*f - 36*f - 29*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/72)\/(60\/480)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7 in -12, -1\/3, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 179*k + 5370. Let f be g(-30). Suppose 2*s + 80 = 7*s. Solve -5*o + o - s = f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 166*m - 107*m = 504*m + 5340 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2746 - -11093. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5*12\/150*(-3)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-12)\/(-15))\/((-2)\/(-5)). Let o = 2 + 0. Solve -5*c = d*p - 15, 5*p + 2*c + o*c = 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-3 + 2 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 866, 867, 872, 881, 894, 911, 932?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1192 + 1259. Solve -10*g = 57 - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13692 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c**4\/7 + 45*c**3\/7 + 351*c**2\/7 + 81*c = 0 for c.\nAnswer: -3, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -19 + (12 + -14 - -10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-1)*x**(4\/9)*(x**(-10))**17 assuming x is positive.\nAnswer: x**(-1535\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (25 - 3499*l - 1 + 3553*l)*(-3 + 3 - l)*(-3 + 1 + 3) to the form b + o*l**2 + z*l and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1486003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 824 is divided by 122?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(1\/2)\/m*m)\/m*(m**(2\/5)*m)\/m*(m\/m**(4\/3)*m*m*m)**(-37) assuming m is positive.\nAnswer: m**(-2963\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 5*l**2 + 4*l + 4 + 3*l**2 - 13*l + l**3. Let c be r(-9). Suppose -5*w - c*t = -2*t - 194, 34 = w - 2*t. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3271237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4\/145 (b) 22\/9 (c) -0.2 (d) 0 (e) 709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -7768 divided by -4\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 + p**2. Let g(q) = 3 - 9 + 6 + 21*q**3 - 18*q**2. Calculate g(x) + 18*v(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 2*g + 7375 = 3013, 2*t + 4370 = -g. Is t != -2184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2929*m - 3080*m = 3868*m + 2248*m + 401088 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 952 - 951.93. Let r = -13 + 33. Let q = -23 + r. Is q greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.14211732961 to five decimal places.\nAnswer: 0.14212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2710706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 2 = -3*i. Let z(l) = 2*l**2 - 4*l**2 - 6 - 2*l**2 + 3*l**2 - 7*l. Determine z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 5*u + 3*u = -6, 3*p + 2*u - 3 = 0. Find the third derivative of -32*i**3 - 29*i**p - i**2 - 33*i + 26*i**3 wrt i.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 38987.11 grams?\nAnswer: 38987110000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Determine o so that -479 + 16*o**4 + 4*o**5 + 12*o**3 - 12*o**2 - 16*o + 479 - 4*o**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -1455*w. Let v(u) = -633*u**2. Calculate l(v(o)).\nAnswer: 921015*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2562613 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/2645 >= 21\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**2\/9 + 218*k\/3 + 652\/9 = 0 for k.\nAnswer: -326, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.9 in -2\/9, 5, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f**(-1\/15)\/f*f)\/f)*f*f**(2\/11)*f*f)\/(f**(-13)*f**9) assuming f is positive.\nAnswer: f**(1526\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, -1, 4.\nAnswer: -1, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -15 (base 8) in base 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-9 + 23 + -12) - (-2 + -10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/5 in -2\/15, 0.2, -0.1, -4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1133469 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 8*u**2 + u - 1. Let f(x) = -5*x + 3*x - 3 - 2*x + 6*x. Let o be f(2). Give h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -32012004214?\nAnswer: 32012004212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -13 - (1 + (17 - 13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 96*u - 1928. Let r be w(22). Solve -22*a + r = 24*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*a**2 - 5*a**2 - 21*a**4 + 7*a**4 wrt a?\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 317 and 11.2.\nAnswer: 328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 0 (d) -1.4 (e) 5 (f) -849\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 136, 271, 406, 541, 676?\n\"Answer: 135*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13198 + -6259. List the prime factors of g.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4210 + 4208.922. What is l rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5699320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*g**2 + 3*g**2 - 2*g**2 + (0 - 1 - 5)*(-2*g**2 + 3*g - 3*g))*(-3 + 3 - 4*g) to u*g**2 + z*g + w + c*g**3 and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 77*x - 80*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 143\/72 and 25\/208?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15556?\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 13 = -5*b + 2*b, 5*b = -p + 21. Let j be 4*(b + -5) - -5. Solve z = -j + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 32.1 + -32. Is 5\/3 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, x: 6, q: 1, r: 1, a: 8}. What is prob of picking 2 x?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that -1066579*r**2\/7 + 1066581*r\/7 - 2\/7 = 0.\nAnswer: 2\/1066579, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(12) - (1 + sqrt(1452)))*-5 + (sqrt(2904) - (sqrt(2904)*-4 - sqrt(2904)))\/sqrt(2))*-6.\nAnswer: -1392*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -10481 (base 10) to base 16\nAnswer: -28f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.38 - -19.38. Let p = c - 16. Sort p, -2, -0.35.\nAnswer: -2, -0.35, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 471001481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 + -1. Suppose 268 - 262 = f*z. Solve -17 = -2*q - z*q - i, 4*q + 5*i = 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*l**2\/6 + 49250*l + 727668750 = 0. Calculate l.\nAnswer: -29550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 1, l: 2, j: 4, o: 1}. What is prob of sequence lbo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1049 - 1021. What is the remainder when 65 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(3 + (-24)\/9). Let c be (8\/(-6) + 0)*j. Let b be 1\/(-1*(-2)\/c). Solve -5*s + 1 = -f - b*f, 4*s - 5*f = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2440301 (base 6) to base 3.\nAnswer: 20120221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83 = -5*b + 322. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2*f = f + 28, 0 = -f. What is the highest common divisor of 140 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 - (7 + 0 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*c + 175 = -129 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 36135 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of 4\/15*g**5 + 0*g**2 - 5\/12*g**4 + 0*g + 3 + 1\/9*g**3. Factor q(m).\nAnswer: m**2*(m - 1)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 28 and 292?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 0)*(7 - 7 - 5*a + 7 - 7 - 7*a + (0 - 1 + 3)*(2*a - a - 2*a) + 2 - 2 - 2*a)*(-78*a**2 - 75*a**2 + 5*a**3 + 151*a**2 - a).\nAnswer: 160*a**4 - 64*a**3 - 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - (-9 + 12)) + 1 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(-549) + (-1260)\/1220.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 7*y**2 - 1. Let u be i(2). Suppose 0 = -l + u + 11. Suppose 2*f = 5*f - 5*c - l, 0 = -5*c + 10. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -123\/7 or -19?\nAnswer: -123\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {k: 1, u: 2, t: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -1. Let c(r) = -r - 1. Let i(b) = b**3 - 6*b**2 + b - 3. Let l be i(6). Suppose -u = -l*u - 4. Determine u*c(y) + 2*a(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x**(-10\/11)\/x)\/x)\/x)**(-35)*x**(-26\/3)\/(x\/x**(-2\/91)))**(-10\/11) assuming x is positive.\nAnswer: x**(-3817700\/33033)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 13. Let q(t) = 4*t**2 - 11*t + 3. Let p be q(b). What is the highest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/((((r*r**(3\/22))\/r)\/r)\/r))\/r)\/r*r**(-12\/11) assuming r is positive.\nAnswer: r**(-5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate t + 2 - 39 - t + 7*t + t wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18.58 + -18.9492. Round r to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-165)\/198 - 8330\/12. Let x = -526 - p. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 3:52 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3557858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i + 72 - 120. Suppose -310 = -2*q + i. Is 166 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 5*s - 18. Let z be d(9). Find the third derivative of 0*m**5 + 23*m**2 + 3*m**5 - z*m**2 wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 191924, 383744, 575546, 767324, 959072, 1150784?\n\"Answer: -l**3 - 3*l**2 + 191836*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {l: 1, f: 5, p: 3}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1344 is divided by 169.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4812859577.\nAnswer: 4812859577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -95\/54 and 167\/364056.\nAnswer: 3276504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20 + 19.7. What is the closest to k in 0.4, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 - 20535216?\nAnswer: -20535226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-9)\/50)\/(126\/105))\/(100\/125)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 33947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 196343944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 164 a factor of 139810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 737 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000008795 rounded to 7 decimal places?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 15, 5*b + 3*a - 41 = 274. Is ((-680)\/b)\/(6\/(-2421)*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*g**5*y - 8*g**3*y - 3*g**2 - g*y + g + 4038*y + 1 wrt g?\nAnswer: 140*g**3*y - 48*g*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o = -3*n + 2*o + 9, 5*n + 13 = o. Let p be 165\/9 - n\/(-6). What is the greatest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -558 or -169887\/304?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 269*v + 544 = -p + 11, 3*v + 2*p = -p + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 17 = 2*q, q - 18 = 4*b - 2. Suppose -o + 27 = -3*r, 4*o + 30 = -q*r - 22. Let t(y) = y**2 + 5*y + 26. List the prime factors of t(r).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 228528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11663901 is divided by 816.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 193\/55 - 32\/11. Let g be (-2)\/(-9) - (-640)\/9. Let i = g - 70. Put i, 3, p in increasing order.\nAnswer: p, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 0*h = -15. Suppose -4*j = h*r - 15, r + 16 = 4*j + 5*r. Suppose 124 + 111 = j*o. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1557 * -0.1033\nAnswer: 0.01608381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 606 or -2\/31079?\nAnswer: -2\/31079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -80 + 23 + 58 - 400*a**3 to g*a + v + n*a**3 + h*a**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -646, -1321, -2108, -3007, -4018?\nAnswer: -5141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -51*t**2 - 44*t + 7. Let l = 59 - 52. Let k(c) = 26*c**2 + 22*c - 4. Let q(j) = l*k(j) + 4*b(j). What is the second derivative of q(f) wrt f?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, d: 1, q: 1, v: 8, u: 2}. Give prob of picking 1 q and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 8*t**5 - 116*t**4 + 224*t**3 + 204*t**2 - 144*t = 0.\nAnswer: -1, 0, 1\/2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**2)**(-13))**38 assuming t is positive.\nAnswer: t**494","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3*i + 4. Let v(l) = -3*l - 13. Let g(k) = -4*k - 12. Let f(y) = -4*g(y) + 3*v(y). Give -4*f(n) + 9*j(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, p: 2, h: 7}. What is prob of sequence yhp?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 476 (base 10) in base 11?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 411214*q*v + 156166*q wrt v.\nAnswer: 411214*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 29 + -26. Suppose -4*r + 88 = -c, 0*r + n*c = r - 22. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 6\/(144\/(-4))*-6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of 2*g**5\/15 - g**4\/6 - g**3\/2 + g**2 + 4*g. Let a(n) be the first derivative of z(n). Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/2 in 1, 2363, 5, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1.36299 times -4.1\nAnswer: -5.588259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -403, -413, -437, -481, -551, -653, -793, -977?\n\"Answer: -y**3 - y**2 - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - 4*j + 1, -j + 4*j + 3 = 0. Suppose f*l - 12 = 8. Sort l, -2, -3 in descending order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + -4 - (-10 + 0 + 11)) + -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -61 + 58. Is (-35252)\/(-112) + b\/8*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35 - 6) + 35 - (1 - (-2 - -16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d + 14. Suppose -7 - 29 = -4*q. What are the prime factors of i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 30\/83018921 and 77\/562?\nAnswer: 166037842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*-3*(-2)\/(-33). What is the third biggest value in -1\/2, -0.1, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 - 9*u**2 + 2*u + 50. Let f be b(8). Let g be (f\/(-10))\/((-3)\/10). Determine i, given that -4\/3 + 2\/3*i**2 - g*i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.08 (b) -1\/78905 (c) -3\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 29058 + -29075. What is the nearest to 0.1 in w, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 4*q**2 + 3. Let g be w(5). Suppose -14*p + g = -28. Find o such that 5\/3*o**2 - 5\/3*o**p + 0 - 10\/3*o + 10\/3*o**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 35\/2 - 18. Let f(l) = 2*l + 44*l**2 - 48*l**2 + 11 - 2*l**3 + l**3. Let i be f(-4). Which is the closest to -2? (a) -0.3 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.34 * 13\nAnswer: 17.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -79.1568 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 100046957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7376 + 14887 - 6968)*(d - 3*d + 4*d)*(2*d - 2*d + 3*d)*((2*d + 2*d**2 - 2*d)*(-2 - 2 + 2) + 5*d**2 - d**2 - 2*d**2 - d**2 + 0*d**2 - d**2).\nAnswer: -13032*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2020 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 2*s**2 + 26969*s + 2. Let j(m) = m. Determine j(y(g)).\nAnswer: 2*g**2 + 26969*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23560.\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 72 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -87 + 122. Let d(q) = q**3 - q**2 + 10*q + 13. Let k(f) = 2*f**3 - 3*f**2 + 20*f + 25. Let x(i) = 7*d(i) - 4*k(i). Is x(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 4*a**3 + 3*a**2 - 2*a - 2. Let y(v) = -21*v**3 - 16*v**2 + 10*v + 11. Calculate 11*k(x) + 2*y(x).\nAnswer: 2*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 93 divide 559218486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 94722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 16 = -5*s, -3*s = 3*c - 2*c - 13. Suppose s*j + 4 = 6*j. Suppose -5*k = 3*u + 30300020, 2*u - j*k + 10099992 = u. Round u to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1600 + 1?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**30*f**23)\/(f**(-8)\/f*f**(-15\/7)*f) assuming f is positive.\nAnswer: f**(442\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from orrqrgrorbqyoqr. Give prob of picking 1 r and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/10 + (-24)\/(-5). Let o(x) = -x**3 + 4*x**2 + 4*x + 2. Let c be o(k). Let p = c - -8. Solve -9 = -5*z - 3*i - 29, 0 = -5*z + p*i - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 10 = 5*b - 0*g, -5*b - 4*g = 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 210\/48 + 2\/(-4 + 49\/14).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -89 (b) 0.06 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 554562368.\nAnswer: 2, 233, 37189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 947 divide 431820636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 144393432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01678 rounded to 4 decimal places?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, v: 1, y: 4, h: 3, m: 3, u: 1}. Give prob of sequence heue.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2.8+-11797\nAnswer: -11799.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/6 - 11\/2. Let z = n + 7. Suppose 0 = 5*l - z*x - 31, 0 = -2*x - 0*x + 4. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 0 + 8 - 2 - -2 - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5268893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -40 (b) -0.07 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 15204\/(-2172)*7\/(147\/120)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 316450706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 61 + 72666.976476\nAnswer: 72727.976476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -165*b + 12. Let h be x(-3). Let t be h\/(8\/((-560)\/(-3))). What is t rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.051235 kilograms to tonnes.\nAnswer: 0.000051235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 + 3. Let o be 0\/((-6)\/(-15)*20\/4). Suppose k - 46 + f = o. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = -2*i - 2*r, 5*r = 5*i + 47 - 202. Is 4 a factor of (2652\/238)\/(6\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 2279 - 2215 = -4*b, -7*u + 20 = -4*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 941310888 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2*l - 6. Let v = 13 + -18. Let s be a(v). Suppose -2*m**3 - 2*m**2 + 0*m**2 + m**4 - 2*m**s - m**3 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 829, 2185, 3529, 4855, 6157, 7429?\nAnswer: 8665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 143345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k**2 - 13*k + 17. Give i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iaw when three letters picked without replacement from {t: 2, a: 2, i: 5, w: 2, f: 7}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -91*f**3 - 47*f**3 - f**2 + 183*f**3 + 718 - 80*f**3 - 98*f**3 wrt f?\nAnswer: -399*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1757 a factor of 41722969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + 4*g + 4 - 4 + 4*g + (1 + 0 - 3)*(-5*g + 5*g + 5*g) - 5 + 6 - 2*g + 4.\nAnswer: -4*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-34)\/24 - 2\/8)*-3. Let x = d - 0. Suppose 0 = u - x*u + 112. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2\/1877 + -3764\/9385. Which is smaller: 471 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 66.8 + -72. Let r = 5.4 + t. Sort -2, -1\/3, 0.13, r in decreasing order.\nAnswer: r, 0.13, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - u. Suppose -10*c + 16 + 14 = 0. Find the third derivative of 22*o**2 + u*o**3 - 31*o**4 + 16*o**4 + 0*o**c wrt o.\nAnswer: -360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1 and -0.32297261628?\nAnswer: 0.67702738372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.71 - 0.61. Which is bigger: y or -8\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11473537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 PM and 1:48 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 479624 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -39*s + 41*s - q - 11, 2*s - 4*q = 14. Suppose -4*g = -j - 102828, -3*g + s*j + 119783 = 42645. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7860 + -7855. Which is the biggest value? (a) 7 (b) u (c) -3\/2 (d) 0 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-3)\/(-2) + 0)\/(33\/22). Sort -3, r, -4, -2 in decreasing order.\nAnswer: r, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -47 (base 15) in base 2?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i + 8. Let k be a(-5). Suppose 0 = -k*z - 18. Let f(d) = d**3 + 7*d**2 + d - 5. Is f(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = -131 + 113. Let w be 5 + 3\/b*-2*75. What is the highest common divisor of 280 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -290984*j - 2909845. Calculate r(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 291 is divided by (-86614)\/(-930) - (-2)\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -19508 greater than or equal to -19087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -5*k - 551, 1363 = o + 4*o + 2*k. Let x = o + -188. Suppose 4 = 2*n, 4*v + 2*n - 259 = x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 71, 64, 57, 50, 43?\n\"Answer: -7*n + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xirxiix. What is prob of sequence ri?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m - 3. Let w be a(5). Let q = w - 0. Let f(r) = -4*r**2 - 2*r**2 + 4*r**q. Let t(g) = g**2. Calculate t(f(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}